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feat: image-source room impulse responses and steady-state room field#229

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jmrplens merged 7 commits into
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feat/room-image-sources
Jul 19, 2026
Merged

feat: image-source room impulse responses and steady-state room field#229
jmrplens merged 7 commits into
mainfrom
feat/room-image-sources

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@jmrplens

@jmrplens jmrplens commented Jul 19, 2026

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Summary

Room acoustics by image sources and the steady-state field for the room domain, clean-room from Kuttruff (Room Acoustics 6e), Vorländer (Auralization) and Bies, Hansen and Howard.

  • image_source_rir: the synthetic room impulse response of a rectangular room by the image-source method, enumerating the image lattice to a configurable order with the per-wall reflection count, per-band or broadband wall absorption and optional air attenuation, and assembling g(t) as a sum of delayed, attenuated deltas. Frozen result carrying the exact sub-integer image table (times, distances, orders, amplitudes, positions) with a reflectogram .plot(), plus audible_image_count and reflection_density helpers.
  • room_constant, critical_distance, schroeder_frequency, steady_state_spl and steady_state_field: the classical steady-state relations, with a frozen result splitting the direct, reverberant and total field versus distance and its .plot().

Validation

Anchored on exact geometry (direct and first-reflection amplitudes and delays to machine precision), the Kuttruff image count (1561 images through order 10), the reflection-density growth law, and the Eyring T60 recovered from the synthetic RIR's reverberant decay (with a documented finding that an elongated room decays slower than Eyring, the Fitzroy/Arau regime). The FDTD 2D solver already in the library is used as an independent numerical cross-check: the rigid-wall echo matches the first image delay, and a uniform-damping T60 comes back at 0.588 s against 0.600 s analytic. The steady-state relations match their closed forms, including the critical distance where the direct and reverberant fields are equal by definition. Seven new conformance checks (319 total, byte-exact report).

Checks

ruff, mypy, bandit, full pytest (3790 passed, no new warnings), conformance byte-exact, figures within tolerance (848, one new in four variants), api-docs with no drift, curated API table 721 names, site i18n parity and full build clean. Adversarially reviewed; both findings applied, plus proactive guards for coincident source/receiver and the length-6 absorption ambiguity.

Review in cubic

Summary by CodeRabbit

  • New Features
    • Added rectangular-room image-source modeling with reflection analysis, optional air attenuation, broadband/per-band impulse responses, and reflectogram plotting.
    • Added steady-state room-field modeling (room constant, critical distance, Schroeder frequency) with direct/reverberant/total sound levels.
    • Added plotting support for both image-source reflections and steady-state sound fields.
  • Documentation
    • Added a new English/Spanish guide plus updated README navigation, API reference pages, theory coverage, and expanded references/citations.
  • Validation
    • Expanded conformance reporting and added comprehensive automated tests for core formulas, reflectograms, and edge cases.

jmrplens added 5 commits July 19, 2026 12:49
Add two rectangular-room field models to phonometry.room.

image_source (A1) synthesises the room impulse response of a shoebox by
mirroring a point source in its walls (Kuttruff Room Acoustics 4.1,
Eqs. 4.4-4.6; Vorlander Auralization 11.4; Allen & Berkley 1979): the
direct sound plus one delayed, attenuated impulse per image, amplitude
prod(R_wall^count) * exp(-m r / 2) / (4 pi r) with the pressure reflection
factor R = sqrt(1 - alpha) and delay r / c. It returns a broadband or
per-octave-band RIR plus the exact sub-sample reflection table (times,
distances, orders, amplitudes, image positions), with audible_image_count
(Eq. 9.23) and reflection_density (Eq. 4.6) helpers and a reflectogram
.plot().

steady_field (A4) predicts the steady-state level
Lp = Lw + 10 lg(Q/(4 pi r^2) + 4/R) with the room constant
R = S alpha/(1 - alpha) (Bies Engineering Noise Control 6.43-6.44), the
critical distance sqrt(Q R / 16 pi) and the Schroeder frequency
2000 sqrt(T/V) (Kuttruff 3.44, 5.44). SteadyFieldResult carries the
direct/reverberant/total split versus distance with a .plot().
Pin the exact reflection geometry (direct and first-reflection delay and
amplitude), the audible image count (Kuttruff Eq. 9.23), the reflection
density (Eq. 4.6), per-band and per-wall assembly, and the domain guards.
Cross-check the Eyring reverberation time recovered from the synthetic
decay in the near-cubic limit, and use the 2D FDTD solver of
phonometry.simulation as an independent oracle for the rigid-wall echo
delay and the uniform-damping T60. Verify the closed-form room constant,
the critical distance as the direct/reverberant crossover, the Schroeder
frequency and the steady-state level.
Add seven Room-acoustics anchors: the image-source direct-sound amplitude
and delay, the audible image count (Kuttruff Eq. 9.23), the reflection
density (Eq. 4.6), the room constant (Bies Eq. 6.44), the critical distance
as the direct/reverberant crossover, the Schroeder frequency (Kuttruff
Eq. 3.44) and the steady-state level (Bies Eq. 6.43). Register the two new
modules in the API taxonomy. 319/319 checks pass; the report regenerates
byte-identically.
Add the image-source room-impulse-response reflectogram of a 7x5x3 m room:
the direct sound with the reflection cloud coloured by reflection order,
decaying under the 1/r spreading envelope. Four language/theme variants;
Spanish strings added to the translation table. Committed as PNG (the dense
reflection cloud is far lighter than the vector form).
New guide across the three documentation trees (GitHub docs, theory chapter
and the EN/ES site guides): the image-source room impulse response with its
reflection-count decomposition, the audible-image count and reflection
density, the reflectogram figure with its double snippet, and the
steady-state field with the room constant, critical distance and Schroeder
frequency. Cross-linked from the room-acoustics section pages and the
sidebar. Regenerates the Starlight API reference for the two new modules,
extends the curated API table, the README highlights, the bibliography
(Vorlander, Allen & Berkley) and the llms files, and records the change in
the changelog.

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Sorry @jmrplens, your pull request is larger than the review limit of 150000 diff characters

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coderabbitai Bot commented Jul 19, 2026

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Review Change Stack

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info
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Review profile: ASSERTIVE

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Run ID: fd6485be-6e02-4a78-85b1-0067b819e230

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Reviewing files that changed from the base of the PR and between d3c346e and 3590d1a.

📒 Files selected for processing (4)
  • docs/porous-absorbers.md
  • docs/references.md
  • site/src/content/docs/es/guides/porous-absorbers.mdx
  • site/src/content/docs/guides/porous-absorbers.mdx

📝 Walkthrough

Walkthrough

Adds image-source room impulse-response synthesis and steady-state room-field calculations, with public APIs, plotting helpers, conformance checks, bilingual guides, API references, navigation, and generated documentation.

Changes

Room acoustics models

Layer / File(s) Summary
Image-source RIR synthesis
src/phonometry/room/image_source.py, src/phonometry/_plot/room.py, tests/room/test_image_source.py
Generates broadband or per-band shoebox RIRs with reflection metadata, attenuation, plotting, validation, and FDTD/Eyring checks.
Steady-state room-field model
src/phonometry/room/steady_field.py, tests/room/test_steady_field.py
Computes room constant, critical distance, Schroeder frequency, direct/reverberant SPL, packaged results, plots, and validation cases.
Public API and references
src/phonometry/__init__.py, src/phonometry/room/__init__.py, docs/api-reference.md, site/src/content/docs/reference/api/*
Exports the new APIs and documents their signatures, result types, parameters, and behavior.
Guides and publishing outputs
docs/room-image-sources.md, site/src/content/docs/guides/*, site/src/content/docs/es/guides/*, scripts/*, llms*.txt
Adds bilingual guides, theory and bibliography references, reflectogram generation, navigation entries, generated documentation, and expanded conformance totals.

Estimated code review effort: 5 (Critical) | ~90 minutes

Sequence Diagram(s)

sequenceDiagram
  participant Caller
  participant RoomModels
  participant Results
  participant Plotting
  Caller->>RoomModels: Provide room and acoustic parameters
  RoomModels->>Results: Produce RIR or steady-field result
  Results->>Plotting: Render reflectogram or SPL curves
Loading

Possibly related PRs

Poem

A rabbit hops through echoes bright,
Image beams arrive just right.
Room constants hum, levels flow,
Schroeder tells which way to go.
New guides bloom in docs galore—
Ears twitch happily on the floor!

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 34.85% which is insufficient. The required threshold is 80.00%. Write docstrings for the functions missing them to satisfy the coverage threshold.
✅ Passed checks (4 passed)
Check name Status Explanation
Description Check ✅ Passed Check skipped - CodeRabbit’s high-level summary is enabled.
Title check ✅ Passed The title clearly summarizes the main change: new image-source RIR and steady-state room-field features.
Linked Issues check ✅ Passed Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check ✅ Passed Check skipped because no linked issues were found for this pull request.
✨ Finishing Touches
🧪 Generate unit tests (beta)
  • Create PR with unit tests
  • Commit unit tests in branch feat/room-image-sources

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Code Review

This pull request adds image-source room impulse response and steady-state room field predictions to the phonometry.room module, along with documentation, tests, and plotting utilities. The review feedback identifies several key improvements: resolving a potential crash in the reflectogram plot when max_order=0, ensuring reflection_density correctly handles negative times, renaming the confusing rc variable to r_const to avoid confusion with critical distance, adding finiteness checks to positive-value validations, and anchoring all elements in test assertions rather than just the endpoints.

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Comment thread src/phonometry/_plot/room.py Outdated
Comment on lines +557 to +558
cbar = ax.figure.colorbar(sc, ax=ax, pad=0.02)
cbar.set_label("Reflection order")

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high

If max_order=0 is passed to image_source_rir, there are no reflections and ref_mask is entirely False. In this case, sc (the scatter plot) will be empty with undefined limits, causing ax.figure.colorbar(sc) to raise a ValueError or TypeError at runtime. Wrapping the colorbar creation in a check like if np.any(ref_mask): avoids this crash.

Suggested change
cbar = ax.figure.colorbar(sc, ax=ax, pad=0.02)
cbar.set_label("Reflection order")
if np.any(ref_mask):
cbar = ax.figure.colorbar(sc, ax=ax, pad=0.02)
cbar.set_label("Reflection order")

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Applied in d3c346e: plot() crashed on a direct-only reflectogram (empty scatter, no colorbar limits); guarded with a check for any reflections plus a regression test.

Comment thread src/phonometry/room/steady_field.py Outdated
Comment on lines +173 to +179
rc = np.asarray(room_constant, dtype=np.float64)
directivity = require_positive(directivity, "directivity")
if np.any(r <= 0.0) or not np.all(np.isfinite(r)):
raise ValueError("'distance' must be positive and finite.")
if np.any(rc <= 0.0) or not np.all(np.isfinite(rc)):
raise ValueError("'room_constant' must be positive and finite.")
bracket = directivity / (4.0 * np.pi * r**2) + 4.0 / rc

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medium

Using rc as the variable name for room_constant inside steady_state_spl is highly confusing because rc is the standard abbreviation for critical distance (which is also computed and used in this module). Renaming it to R or r_const would align with standard acoustic notation and prevent confusion with critical_distance. Additionally, ensure that validation checks for positive values also check for finiteness to reject NaN and infinity.

Suggested change
rc = np.asarray(room_constant, dtype=np.float64)
directivity = require_positive(directivity, "directivity")
if np.any(r <= 0.0) or not np.all(np.isfinite(r)):
raise ValueError("'distance' must be positive and finite.")
if np.any(rc <= 0.0) or not np.all(np.isfinite(rc)):
raise ValueError("'room_constant' must be positive and finite.")
bracket = directivity / (4.0 * np.pi * r**2) + 4.0 / rc
r_const = np.asarray(room_constant, dtype=np.float64)
directivity = require_positive(directivity, "directivity")
if np.any(r <= 0.0) or not np.all(np.isfinite(r)):
raise ValueError("'distance' must be positive and finite.")
if np.any(r_const <= 0.0) or not np.all(np.isfinite(r_const)):
raise ValueError("'room_constant' must be positive and finite.")
bracket = directivity / (4.0 * np.pi * r**2) + 4.0 / r_const
References
  1. When validating that numeric arrays or maps contain only strictly positive values, ensure they are also validated as finite (rejecting NaN and infinity), as a simple check like any(x <= 0) will fail to catch non-finite values.

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Rename applied in d3c346e (rc was the critical distance elsewhere in the module, confusing); the finiteness checks you suggested were already present, so that part is redundant.

Comment thread src/phonometry/room/image_source.py Outdated
volume = require_positive(volume, "volume")
speed_of_sound = require_positive(speed_of_sound, "speed_of_sound")
t = np.asarray(time, dtype=np.float64)
out = 4.0 * np.pi * speed_of_sound**3 * t**2 / volume

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medium

For negative times, the physical reflection density is zero. Currently, passing a negative time to reflection_density returns a positive value because of the squaring operation (t**2). Using np.maximum(t, 0.0) ensures the density is correctly zero for any negative time inputs.

Suggested change
out = 4.0 * np.pi * speed_of_sound**3 * t**2 / volume
out = 4.0 * np.pi * speed_of_sound**3 * np.maximum(t, 0.0)**2 / volume

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Applied in d3c346e: reflection_density clamps t to zero before squaring, so negative times no longer produce a spurious positive density.

Comment thread tests/room/test_image_source.py Outdated
Comment on lines +208 to +209
energies = np.sum(res.ir**2, axis=1)
assert energies[0] > energies[2]

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medium

When asserting a sequence of values (like the decaying energies across bands), it is best practice to assert the expected relations or values for all elements in the sequence rather than just the endpoints. This ensures each data point is individually anchored.

Suggested change
energies = np.sum(res.ir**2, axis=1)
assert energies[0] > energies[2]
energies = np.sum(res.ir**2, axis=1)
assert energies[0] > energies[1] > energies[2]
References
  1. When writing tests for a sequence of values, assert the expected values for all elements in the sequence rather than just the endpoints, ensuring each data point is individually anchored.

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Applied in d3c346e: the assertion now checks the full monotonic chain across the three bands.

Comment thread tests/room/test_image_source.py Outdated
Comment on lines +234 to +235
energies = np.sum(res.ir**2, axis=1)
assert energies[0] > energies[-1]

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medium

Similar to the other per-band test, we should assert the expected monotonic relationship across all elements in the sequence of energies rather than just the endpoints.

Suggested change
energies = np.sum(res.ir**2, axis=1)
assert energies[0] > energies[-1]
energies = np.sum(res.ir**2, axis=1)
assert np.all(np.diff(energies) < 0.0)
References
  1. When writing tests for a sequence of values, assert the expected values for all elements in the sequence rather than just the endpoints, ensuring each data point is individually anchored.

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Applied in d3c346e: the assertion now checks strict monotonic decrease across all six bands.

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Codecov Report

❌ Patch coverage is 94.70199% with 16 lines in your changes missing coverage. Please review.
✅ Project coverage is 96.10%. Comparing base (21813c1) to head (3590d1a).

Files with missing lines Patch % Lines
src/phonometry/room/image_source.py 92.89% 12 Missing ⚠️
src/phonometry/room/steady_field.py 96.00% 3 Missing ⚠️
src/phonometry/_plot/room.py 98.14% 1 Missing ⚠️
Additional details and impacted files
@@            Coverage Diff             @@
##             main     #229      +/-   ##
==========================================
- Coverage   96.13%   96.10%   -0.03%     
==========================================
  Files         132      134       +2     
  Lines       17529    17831     +302     
==========================================
+ Hits        16851    17137     +286     
- Misses        678      694      +16     

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Actionable comments posted: 5

🤖 Prompt for all review comments with AI agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

Inline comments:
In `@docs/references.md`:
- Around line 374-375: Update the bibliography sentence around “porous-material
coefficient sets” by adding a verb before “its Chapter 6,” so the sentence
clearly states that Chapter 6 covers the steady-state room field and room
constant.

In `@docs/room-image-sources.md`:
- Around line 37-39: Add an appropriate language identifier, such as text or
latex, to the opening fence of every fenced block in docs/room-image-sources.md,
including the blocks surrounding the displayed equation and the additional
ranges noted in the review, so all fences satisfy markdownlint MD040.

In `@docs/theory-rooms-buildings.md`:
- Line 81: The Schroeder-frequency descriptions should present fs as a heuristic
modal-to-diffuse crossover rather than a hard validity boundary. In
docs/theory-rooms-buildings.md:81, soften the claim that diffuse-field relations
fail below fs and retain room-specific validation guidance; in
docs/room-image-sources.md:161-169, likewise replace categorical below/above
applicability claims with qualified transition-estimate wording.
- Line 71: In docs/theory-rooms-buildings.md:71, describe T as the “Eyring
reverberation time,” not the Eyring rate. In docs/room-image-sources.md:95-102,
reword the fitted decay-slope description to state that it recovers or yields
the Eyring reverberation time, clearly distinguishing the slope rate from the
derived T value.

In `@llms-full.txt`:
- Around line 4874-4883: Guard the T30 output in the room-parameter example by
checking params.t30_valid before accessing params.t30[0]. When the flag is
false, print a clear fallback or instruct readers to increase max_order; only
read and print the T30 value when it is valid.
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  • Push a commit to this branch (recommended)
  • Create a new PR with the fixes

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Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: 3873f143-800c-4b05-8ae2-c62dc2d02921

📥 Commits

Reviewing files that changed from the base of the PR and between 21813c1 and ce5eac1.

⛔ Files ignored due to path filters (5)
  • .github/images/image_source_reflectogram.png is excluded by !**/*.png
  • .github/images/image_source_reflectogram_dark.png is excluded by !**/*.png
  • .github/images/image_source_reflectogram_es.png is excluded by !**/*.png
  • .github/images/image_source_reflectogram_es_dark.png is excluded by !**/*.png
  • site/src/generated/api-sidebar.mjs is excluded by !**/generated/**
📒 Files selected for processing (29)
  • CHANGELOG.md
  • README.md
  • docs/CONFORMANCE.md
  • docs/README.md
  • docs/api-reference.md
  • docs/references.md
  • docs/room-image-sources.md
  • docs/theory-rooms-buildings.md
  • llms-full.txt
  • llms.txt
  • scripts/api_taxonomy.py
  • scripts/conformance_report.py
  • scripts/generate_graphs.py
  • scripts/generate_llms.py
  • site/astro.config.mjs
  • site/src/content/docs/es/guides/room-image-sources.mdx
  • site/src/content/docs/es/guides/sections/room-acoustics.md
  • site/src/content/docs/guides/room-image-sources.mdx
  • site/src/content/docs/guides/sections/room-acoustics.md
  • site/src/content/docs/reference/api/index.md
  • site/src/content/docs/reference/api/rooms/image-source.md
  • site/src/content/docs/reference/api/rooms/steady-field.md
  • src/phonometry/__init__.py
  • src/phonometry/_plot/room.py
  • src/phonometry/room/__init__.py
  • src/phonometry/room/image_source.py
  • src/phonometry/room/steady_field.py
  • tests/room/test_image_source.py
  • tests/room/test_steady_field.py

Comment thread docs/references.md Outdated
Comment thread docs/room-image-sources.md Outdated
Comment thread docs/theory-rooms-buildings.md Outdated
Comment thread docs/theory-rooms-buildings.md Outdated
Comment thread llms-full.txt
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Numerical conformance report

319/319 conformance checks pass across 39 domains and 193 standards - filters class 1 - weightings within IEC 61672-1 class 1.

Each row pins a standard clause to its expected normative value and the value the library computes. Every section below is collapsible and stays collapsed while all of its rows pass; a section with any failing row opens automatically.

Numerical validation - filters & weightings: class showcase (IEC 61260-1 · IEC 61672-1 · ISO 7196)

IEC 61260-1:2014 class per filter architecture (order 6, one-third-octave, 100 Hz-10 kHz, fs = 48 kHz). For each architecture the table shows, at its binding band, the measured relative attenuation and the class-1 limit it must clear, so the number and the range it must sit in are both visible. A positive margin means the acceptance limits are met with that much room.

Architecture Class verdict Binding band Measured rel. atten. Class-1 limit Margin cl.1 Margin cl.2
butter Class 1 (default) 100 Hz +0.00 dB ≥ -0.40 dB +0.400 dB +0.600 dB
cheby1 By design (passband ripple) 6310 Hz +0.19 dB ≥ +1.44 dB -1.246 dB -0.837 dB
cheby2 Class 1 100 Hz +0.00 dB ≥ -0.40 dB +0.400 dB +0.600 dB
ellip By design (passband ripple) 10000 Hz +0.10 dB ≥ +1.32 dB -1.218 dB -0.813 dB
bessel By design (soft rolloff) 100 Hz +12.46 dB ≥ +16.60 dB -4.133 dB -3.133 dB

Only Butterworth (the library default) and Chebyshev-II are class-compliant architectures. Chebyshev-I and elliptic trade the mask for passband ripple, and Bessel for a maximally-flat group delay (soft rolloff); they cannot satisfy the IEC 61260-1 Class 1/2 attenuation mask by construction, so they are labelled By design - this is expected, not a failure or regression.

Frequency-weighting conformance (A/C: IEC 61672-1 Table 3; G: ISO 7196 A.3). The max deviation from nominal is informational (it falls at a frequency extreme where the tolerance is widest and asymmetric); compliance is judged at the binding frequency - the one with the least headroom - where the deviation, the applicable tolerance band and the headroom are shown together.

Curve fs Max dev. from nominal (info) Binding freq Deviation there Tolerance band Headroom
A 48 kHz -0.867 dB @ 19953 Hz 1000 Hz +0.000 dB [-0.70, +0.70] dB +0.700 dB
A 96 kHz -0.482 dB @ 19953 Hz 1000 Hz +0.000 dB [-0.70, +0.70] dB +0.700 dB
C 48 kHz -0.900 dB @ 19953 Hz 1000 Hz +0.000 dB [-0.70, +0.70] dB +0.700 dB
G 48 kHz +0.047 dB @ 1 Hz 1 Hz +0.047 dB [-1.00, +1.00] dB +0.953 dB
Filters & weightings: 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61260-1:2014 Table 1 Octave-band filter class (butterworth, fs=48 kHz) class 1 class 1 (margin +0.400 dB) +0.400 dB
IEC 61260-1:2014 Table 1 One-third-octave filter class (butterworth, fs=48 kHz) class 1 class 1 (margin +0.400 dB) +0.400 dB
IEC 61260:1995 / ANSI S1.11-2004 Table 1 Class 0 (strictest) octave-band filter (butterworth, fs=48 kHz) class 0 class 0 (margin +0.150 dB) +0.150 dB
IEC 61260-1:2014 Table F.1 Formula (9) breakpoint mapping, b=3, Omega at G**(1/2) 1.12202 (+/-0.00001) 1.12202 0
IEC 61672-1:2013 Table 3 A-weighting deviation vs class-1 limits (fs=48 kHz) deviation within limits @ 1000 Hz +0.000 dB in [-0.70, +0.70] dB headroom +0.700 dB
IEC 61672-1:2013 Table 3 C-weighting deviation vs class-1 limits (fs=48 kHz) deviation within limits @ 1000 Hz +0.000 dB in [-0.70, +0.70] dB headroom +0.700 dB
ISO 7196:1995 Table 2 / A.3 G-weighting deviation vs +/-1 dB tolerance (fs=48 kHz) deviation within limits @ 1 Hz +0.047 dB in [-1.00, +1.00] dB headroom +0.953 dB
Levels & dosimetry: 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61672-1:2013 (Leq) Leq of a 1 Pa 1 kHz sine 90.97 dB (+/-0.05 dB) 90.969 dB -0.001 dB
IEC 61252:1995 (LEX,8h) 8 h exposure to 90 dB(A) noise 90 dB (+/-0.05 dB) 90.008 dB 0.008 dB
ISO 1996-1:2016 3.6.4 Lden, constant 60 dB in day/evening/night 66.3952 dB (+/-0 dB) 66.3952 dB 0 dB
ISO 1996-2:2007 Annex C.5 Example 1 Tonal audibility ΔLta (Formula C.3), 4 kHz tone 13.7 dB (+/-0.05 dB) 13.66 dB -0.044 dB
ISO 1996-2:2007 Annex C.5 Example 1 Tonal adjustment Kt (Formulae C.4-C.6) 6 dB (+/-0 dB) 6 dB 0 dB
ISO 1996-2:2017 Annex G.2 Combined measurement uncertainty u = √(Σ(cj·uj)²) 2.18 dB (+/-0.01 dB) 2.18 dB -0.002 dB
Room acoustics: 100% (12/12)
Standard Quantity Expected (norm) Computed Δ Status
Sabine (W. C. Sabine, 1922) Reverberation time T = k·V/A (V=120 m³, S=158 m², α=0.2) 0.611825 s (+/-0.000001 s) 0.611825 s 0 s
Everest, Master Handbook of Acoustics 4th ed, Fig. 7-22 Sabine RT, worked Example 1 @ 1 kHz (untreated 23.3×16×10 ft room, SI) 3.39 s (+/-0.02 s) 3.402 s 0.012 s
Eyring (Norris-Eyring, 1930) Reverberation time T = k·V/(-S·ln(1-ᾱ)) (α=0.2) 0.548369 s (+/-0.000001 s) 0.548369 s 0 s
Arau-Puchades (Acustica 65, 1988, Formula 18) T (α=0.5/0.1/0.1 per wall pair, dims 8×5×3 m) 0.812147 s (+/-0.000001 s) 0.812147 s 0 s
Model identity (uniform absorption) Arau-Puchades ≡ Eyring when ᾱ is uniform 0.548369 s (= Eyring) 0.548369 s 0 s
Vorlander Auralization 2e, Eq. (11.38)-(11.39) Image-source direct-sound amplitude 1/(4πr) and delay r/c (r = 4 m) 0.0198944 (+/-0) 0.0198944 0
Kuttruff Room Acoustics 6e, Eq. (9.23) Audible shoebox image count up to order 10 (= 1560) 156 (+/-0) 156 0
Kuttruff Room Acoustics 6e, Eq. (4.6) Temporal reflection density dN/dt = 4πc³t²/V (t = 0.1 s, V = 120 m³) 42258.2 1/s (+/-0 1/s) 42258.2 1/s 0 1/s
Bies Engineering Noise Control 5e, Eq. (6.44) Room constant R = Sᾱ/(1-ᾱ) (S = 100 m², ᾱ = 0.2 → 25 m²) 25 m² (+/-0 m²) 25 m² 0 m²
Bies Engineering Noise Control 5e, Eq. (6.43) Critical distance rc: direct field = reverberant field (R = 25, Q = 1) 0.160000 (= reverberant term) 0.16 0
Kuttruff Room Acoustics 6e, Eq. (3.44) Schroeder frequency f_s = 2000√(T/V) (V = 200 m³, T = 1 s) 141.421 Hz (+/-0 Hz) 141.421 Hz 0 Hz
Bies Engineering Noise Control 5e, Eq. (6.43) Steady-state SPL Lp = Lw + 10lg(Q/4πr² + 4/R) (Lw=90, r=1, R=25, Q=1) 83.7945 dB (+/-0 dB) 83.7945 dB 0 dB
Psychoacoustics: 100% (12/12)
Standard Quantity Expected (norm) Computed Δ Status
ISO 532-1:2017 Annex B.2 Zwicker loudness N, stationary test signal 1 83.2957 sone (+/-0.1%) 83.2957 sone 0 sone
ISO 532-1:2017 Annex B.5 Time-varying loudness Nmax, technical signal 14 (aircraft, free field) 22.6399 sone (+/-0.1%) 22.6399 sone 0 sone
ISO 532-1:2017 Annex B.5 Time-varying loudness Nmax, technical signal 15 (vehicle interior, diffuse field) 9.6059 sone (+/-0.1%) 9.6059 sone 0 sone
DIN 45692:2009 Clause 6 Sharpness of the standard 1 kHz reference signal 1 acum (+/-0 acum) 1 acum 0 acum
DIN 45692:2009 Table A.2 Sharpness of critical-band noise at 2.5 kHz (2320-2700 Hz, 4 sone) 1.78 acum (+/-0.089 acum) 1.747 acum -0.033 acum
ISO 226:2023 Table B.1 Equal-loudness contour, 60 phon @ 100 Hz 78.5 dB SPL (+/-0.05 dB SPL) 78.504 dB SPL 0.004 dB SPL
ECMA-418-2:2025 Clause 5.1.8 HMS loudness of a 1 kHz / 40 dB tone (c_N=0.0211964) 1 sone_HMS (+/-0.03 sone_HMS) 0.9843 sone_HMS -0.016 sone_HMS
ECMA-418-2:2025 Clause 6.2.8 HMS tonality of a 1 kHz / 40 dB tone (c_T=2.8758615) 1 tu_HMS (+/-0.03 tu_HMS) 0.9998 tu_HMS 0 tu_HMS
ECMA-418-2:2025 Clause 7 HMS roughness of a 1 kHz / 70 Hz / m=1 / overall 60 dB tone (c_R=0.0180685) 1 asper (+/-0.01 asper) 0.9999 asper 0 asper
ISO 532-2:2017 Clause 3.17 / Annex B.1 Moore-Glasberg loudness of a 1 kHz / 40 dB tone (C=0.0617) 1 sone (+/-0.01 sone) 1.0001 sone 0 sone
ISO 532-3:2023 Annex C.1 Moore-Glasberg-Schlittenlacher peak LTL, steady 1 kHz / 40 dB 1 sone (+/-0.02 sone) 0.9996 sone 0 sone
ECMA-418-2:2025 Clause 9 HMS fluctuation strength of a 1 kHz / 4 Hz / m=1 / overall 60 dB tone (c_F=0.003840572) 1 vacil_HMS (+/-0.01 vacil_HMS) 0.9931 vacil_HMS -0.007 vacil_HMS
Speech transmission (IEC 60268-16): 100% (9/9)
Standard Quantity Expected (norm) Computed Δ Status
IEC 60268-16:2020 A.2.2 STI weighting-factor pair (500 Hz + 1 kHz bands) 0.398 (+/-0.001) 0.398 0
IEC 60268-16:2020 A.3.1.2 Uniform MTF m=0.5 maps to STI=0.5 0.5 (+/-0.01) 0.5 0
IEC 60268-16:2020 C.3.2 STIPA direct method, Formula (C.1) signal at m=0.2 0.3 (+/-0.01) 0.2992 -0.001
IEC 60268-16:2020 C.3.2 STIPA direct method, Formula (C.1) signal at m=0.5 0.5 (+/-0.01) 0.4998 0
IEC 60268-16:2020 C.3.2 STIPA direct method, Formula (C.1) signal at m=0.8 0.7 (+/-0.01) 0.7002 0
IEC 60268-16:2020 C.3.3 Indirect method: exponential decay RT60=1 s vs Schroeder MTF 0.5885 (+/-0.005) 0.5885 0
IEC 60268-16:2020 C.4.2 Filter-bank slope: +41 dB unmodulated tone one octave below 125 Hz m >= 0.5 (C.4.2 pass criterion) 0.9812 0.481
IEC 60268-16:2020 A.2.2 (audio path) Weighting factors: modulated 500 Hz + 1 kHz pair through stipa() 0.398 (+/-0.005) 0.398 0
IEC 60268-16:2020 A.3.1.2 (audio path) Filter-bank phase: half-octave edge carriers at TI=0.9 0.9 (+/-0.01) 0.8975 -0.003
Intensity & sound power: 100% (4/4)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61043:1994 Clause 5 Plane-wave intensity I = p^2 / (rho c) 0.00238 W/m^2 (+/-1.5%) 0.00239 W/m^2 0 W/m^2
ISO 3744:2010 Eq. 18 Monopole hemisphere recovers LW (r=4 m) 95 dB (+/-0 dB) 95 dB 0 dB
ISO 9614-2:1996 Eq. 12 Intensity scan recovers LW of an enclosed source 90 dB (+/-0.000001 dB) 90 dB 0 dB
ISO 3741:2010 Eq. 20 Reverberation-room method inverts to a known LW 0 dB error 0 dB 0 dB
Room & building acoustics: 100% (50/50)
Standard Quantity Expected (norm) Computed Δ Status
ISO 3382-2:2008 5.3.3 T30 from a synthetic exponential decay (T=1.0 s) 1 s (+/-1%) 1 s 0 s
ISO 18233:2006 (swept-sine method) Sweep deconvolution recovers a known IIR response 0 dB in-band error (+/-0.1 dB) 0.0006 dB 0.001 dB
ISO 717-1 Annex C, Table C.1 Weighted sound reduction index Rw (C;Ctr) Rw 30 (C -2; Ctr -3) Rw 30 (C -2; Ctr -3) sum 31.8 dB
ISO 717-1:2020 Annex C, Table C.2 Enlarged range 50-5000 Hz: Rw (C; Ctr; C50-5000; Ctr,50-5000) Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4) Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4) exact
ISO 717-2 Annex C, Table C.1 Weighted impact sound pressure level Ln,w (CI) Ln,w 79 (CI -11; sum 28.0 dB) Ln,w 79 (CI -11; sum 28.0 dB) +0 dB
ISO 717-2 Annex C, Table C.1 (covered) Weighted impact level of the floor WITH covering Ln,w (CI) Ln,w 64 (CI -3; sum 30.0 dB) Ln,w 64 (CI -3; sum 30.0 dB) +0 dB
ISO 717-2 Annex C, Table C.2 Floor-covering improvement ΔLw and CI,Δ (Formulae (2)/(A.4); CI,Δ from the normative Table 4 floor, not the 2020 print's misprinted C.2 chain) ΔLw 15 dB; CI,Δ -9 dB (Table 4 reference floor) ΔLw 15 dB; CI,Δ -9 dB +0 dB
ISO 354:2003 Eq. 5/8 Sabine inversion recovers absorption area 9.212828 m^2 (+/-0 m^2) 9.212828 m^2 0 m^2
ISO 3382-3:2012 Clause 6.2 Open-plan spatial decay rate D2,S (-6 dB/doubling) 6 dB (+/-0 dB) 6 dB 0 dB
ISO 16283-3:2016 Clause 3.12 Facade R'45 isolates the -1.5 dB incidence correction (S=A) 38.5 dB (+/-0 dB) 38.5 dB 0 dB
ISO 10140-2:2010 Formula (2) Lab airborne R on the ISO 717-1 reference shape -> Rw = 54 Rw 54 dB Rw 54 dB +0 dB
ISO 10140-5:2010+A1 Annex B, Table B.1 Reference elements end-to-end: printed Rw (C; Ctr) of all three Rw(C;Ctr) = 53(-1;-5) / 52(-1;-5) / 33(-1;-2) 53(-1;-5) / 52(-1;-5) / 33(-1;-2) exact
ISO 10140-5:2010+A1 Annex C, Table C.1 Reference floors end-to-end: printed Ln,t,r,0,w (CI) of both Ln,t,r,0,w(CI) = 72(0) / 75(-3) 72(0) / 75(-3) exact
ISO 15186-1:2000 Formula (7) Intensity RI on the ISO 717-1 reference shape -> RI,w = 30 RI,w 30 dB (scalar anchor RI = 34 dB) RI,w 30 dB (RI = 34 dB) +0 dB
ISO 15186-1:2000 Annex B, Table B.1 Adaptation term Kc: all 18 printed rows; (B.1) reduces to (B.2) max abs(Kc - Table B.1) <= 0,05 dB (1 dp print) 0.046 dB (B.1 vs B.2: 4.33e-04 dB) 0.046 dB
ISO 10052:2021 Clause 3.6 Survey R' applies the V/7,5 minimum-area rule 26.197888 dB (+/-0 dB) 26.197888 dB 0 dB
ISO 10052:2021 Clause 3.16 Service-equipment LXY is the 3-position energy average 32.823329 dB (+/-0 dB) 32.823329 dB 0 dB
ISO 10052:2021 Table 4 Reverberation-index estimate (35 <= V < 60, type g) k = [4.5, 5.0, 5.5, 5.5, 5.5] dB k = [4.5, 5.0, 5.5, 5.5, 5.5] dB exact
ISO 717-2:2020 Table 4 / Clause 5.2 Reference-floor weighted level Ln,r,0,w and CI (ISO 16251-1 ΔLw anchor) Ln,r,0,w = 78 dB, CI = -11 dB Ln,r,0,w = 78 dB, CI = -11 dB exact
ISO 16251-1:2014 / ISO 717-2 Formula (2) Floor-covering ΔLw: zero improvement gives ΔLw = 0 ΔLw = 0 dB (ΔL = 0 -> Ln,r = Ln,r,0) ΔLw = 0 dB exact
ISO 10848-1:2006 Formula (14) Flanking Kij (simplified) matches closed form Kij = 1.9897 dB Kij = 1.9897 dB exact
ISO 10848-1:2006 Formula (12) Flanking equivalent absorption length aj at f_ref aj = 1.2661 m aj = 1.2661 m exact
ISO 10848-1:2006 Clause 7.3.1 Flanking total loss factor η = 2,2/(f·Ts) η = 0.0044 η = 0.0044 exact
EN 29052-1:1992 Formula 4 Apparent dynamic stiffness s't = 4π²·m't·fr² (m't=200 kg/m², fr=25 Hz) 4.934802 MN/m³ (+/-0.000001 MN/m³) 4.934802 MN/m³ 0 MN/m³
EN 29052-1:1992 clause 8.2 NOTE Enclosed-gas stiffness s'a·d = 111 MN·mm/m³ (p₀=0,1 MPa, ε=0,9) 5.55556 MN/m³ (+/-0.0001 MN/m³) 5.55556 MN/m³ 0 MN/m³
EN 29052-1:1992 Formula 2 Floating-floor natural frequency f0 = (1/2π)√(s'/m') (s'=10 MN/m³, m'=100 kg/m²) 50.32921 Hz (+/-0 Hz) 50.32921 Hz 0 Hz
ISO 7626-1:2011 Table 1 / 3.1.2 Closed-form SDOF driving-point mobility peak mag(Y(f0)) = 1/c (c=5 N·s/m) 0.2 m/(N·s) (+/-0.000001 m/(N·s)) 0.2 m/(N·s) 0 m/(N·s)
ISO 7626-1:2011 Table 1 / 3.1.2 Closed-form SDOF static receptance H(0) = 1/k (k=8000 N/m) 0.000125 m/N (+/-0.0001%) 0.000125 m/N 0 m/N
ISO 7626-1:2011 Table 1 FRF reciprocity: impedance × mobility = 1 (at 37 Hz) 1 (= Z·Y) 1 0
ISO 10846-2:2008 3.17 Transfer-stiffness level Lk = 20 lg( k /k0), k0 = 1 N/m ( k = 1 MN/m)
ISO 10846-3:2002 Formula (1) Indirect method k2,1 = -(2πf)²·m2·T (f=500 Hz, m2=10 kg, T=0,01) -986960.4 N/m (+/-0.1%) -986960.4 N/m 0 N/m
ISO 10846-1:2008 Table A.2 FRF relation k = jω·Z at 250 Hz ( k recovered from impedance) 1001249.2 N/m (+/-0.0001%) 1001249.2 N/m
ISO 7626-2:2015 7.5.2 Rigid-mass calibration: accelerance mag(A) = 1/m (m=10 kg) 0.1 1/kg (+/-0 1/kg) 0.1 1/kg 0 1/kg
ISO 7626-2:2015 7.5.2 Rigid-mass calibration: mobility mag(Y) = 1/(2πf·m) at 100 Hz (m=10 kg) 0.0001592 m/(N·s) (+/-0.001%) 0.0001592 m/(N·s) 0 m/(N·s)
ISO 7626-2:2015 Annex A Normalized random error ε = √((1−γ²)/(2nγ²)): γ²=0,8, n=75 → 4,08 % (< 5 %) 4.08 % (+/-0.01 %) 4.08 % 0.002 %
ISO 7626-1:2011 Table 1 Rigid 1 kg mass at ω = 1000 rad/s: mobility 1e-3, compliance 1e-6 (decades) 0.001 m/(N·s) (+/-1e-07%) 0.001 m/(N·s) 0 m/(N·s)
ISO 10846-3:2002 6.1 Inequality (2) Indirect-method validity limit mag(T) = 0,1 ↔ ΔL1,2 = 20 dB 20 dB (+/-0 dB) 20 dB 0 dB
ISO 10846-3:2002 6.1 Model bias at the validity limit: k_ind/k = 1,1 (0,83 dB ≤ 1 dB, 10 % ≤ 12 %) 1.1 (+/-1e-07%) 1.1 0
ISO 10846-1:2008 Equation (6) Delivered/blocking force F2/F2,b = 1/1,1 at mag(k2,2/kt) = 0,1 (within 10 %) 0.9091 (+/-0) 0.9091 0
ISO 10846-2:2008 / -3:2002 7.6 Linearity: ΔLk ≤ 1,5 dB for input spectra 10 dB apart (linear element: 0) ΔLk ≤ 1,5 dB (7.6 c) 0 dB 0 dB
ISO/TS 7849-1:2009 Formula (8) Calibration L_v from â = 9,81 m/s² at 100 Hz (standard's EXAMPLE) 106.9 dB (+/-0.1 dB) 106.9 dB -0.02 dB
ISO/TS 7849-2:2009 Formula (15) L_W from L_v via measured radiation factor = 10 lg(P/P0) (round-trip) 84.771 dB (+/-0 dB) 84.771 dB 0 dB
ISO/TS 7849-1:2009 Formula (12) Impedance term: L_W − L_v = 10 lg(411/400) at ε = 1, S = S0 0.1178 dB (+/-0 dB) 0.1178 dB 0 dB
EN 15657:2018 Formula (14) Reception-plate L_Ws = resonant-plate power P = ωη(mS)⟨v²⟩ (round-trip) 55.545 dB (+/-0 dB) 55.545 dB 0 dB
EN 15657:2018 Formula (13) Plate loss factor η = 2,2/(f·Ts) at 1 kHz, Ts = 0,3 s 0.0073 (+/-0) 0.0073 0
EN 15657:2018 Formulae (15)/(17) + EN 12354-5 Annex I.3 Source conversion chain reproduces Table I.8 (wall, installed) max abs(L_Ws,inst - Table I.8) <= 0,15 dB 0.055 dB 0.055 dB
ISO 9611:1996 eq. (9) Mean free velocity level (energy mean, v0 = 5e-8 m/s) 72.3017 dB (+/-0 dB) 72.3017 dB 0 dB
EN 12354-5:2009 Formula (19b/19c) Coupling term → force-source limit 10 lg(mag(Ys)/Re{Yi}) as mag(Ys) ≫ mag(Yi) 40 dB (+/-0.01 dB) 40.001 dB 0.001 dB
EN 12354-5:2009 Annex I.3, Table I.9 Flushing cistern: four paths + Formula (17) total -> 29 dB(A) max path/total dev <= 0.15 dB; total 29 dB(A) 0.055 dB; 29.3 dB(A) 0.055 dB
EN 12354-5:2009 Annex I.2, Table I.6a Whirlpool floor component: mobility correction + path 11 max abs(dev vs Table I.6a) <= 0,15 dB 0.1 dB 0.1 dB
Building prediction & uncertainty: 100% (15/15)
Standard Quantity Expected (norm) Computed Δ Status
EN 12354-1:2000 Annex H.3 Airborne prediction R'w (direct + 12 flanking paths) R'w 52 dB (13 paths) R'w 52 dB (13 paths, 52.17) +0.17 dB
EN 12354-1:2000 Annex H.3 (paths) All 12 printed flanking-path values Rij,w max abs(Rij,w - printed) <= 0,05 dB 0.042 dB 0.042 dB
EN 12354-1:2000 Formula (5b) / Annex H.3 DnT,w closure from R'w (both H.3 examples -> 54 dB) DnT,w 54 dB (printed 53,8/54,3) DnT,w 53.63 / 54.13 dB -0.17 dB vs printed
EN 12354-2:2000 Annex E.3 Impact prediction L'n,w = Ln,w,eq - dLw + K 45 dB (+/-0 dB) 45 dB 0 dB
EN 12354-2:2000 Formula (3) / Annex E.3 Standardized impact level L'nT,w (exact 0,032 V form -> 43 dB) L'nT,w 43 dB (exact 42,96; E.3 prints 42,8) L'nT,w 42.96 dB -0.001 dB
EN 12354-3:2000 Annex F Facade airborne prediction (R'tr,s,w / D2m,nT,w single numbers) R'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dB R'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dB 0
EN 12354-4:2000 Annex G / Formula (2) Radiated LW of a wall+door segment (side 1, low bands) LW 63/125 Hz [59.8, 61.2] dB (+/-0.1) LW [59.8, 61.2] dB 0.038 dB
EN 12354-4:2000 Annex E / Table G.9 Exterior level of all four Table G.9 reception cells Lp 36,6 / 28,5 / 44,6 / 37,3 dB (+/-0,05) Lp 36.6 / 28.5 / 44.6 / 37.3 dB 0.046 dB
ISO 12999-1:2020 Table 2 Airborne band uncertainty, situation A @ 1 kHz 1.8 dB (+/-0 dB) 1.8 dB 0 dB
ISO 12999-1:2020 Annex B, Table B.2 One-decimal single numbers Rw / Rw+C50-5000 / Rw+Ctr,50-5000 57.4 / 56.4 / 51.1 dB 57.4 / 56.4 / 51.1 dB +0.00 dB
ISO 12999-1:2020 Annex B, Formulae (B.2)/(B.6) Single-number uncertainties (uncorrelated 0,6/0,8; correlated u(Rw) 1,9) u_uncorr 0.6 / 0.8 dB; u_corr(Rw) 1.9 dB 0.60 / 0.79 dB; 1.90 dB -0.00 dB
ISO 12999-1:2020 Clause 8 / Table 8 Expanded uncertainty U = 1.96 u (95 % two-sided, Rw sit. A) 2.352 dB (+/-0 dB) 2.352 dB 0 dB
ISO 12999-2:2020 Table 4 / Formula (1) Absorption coefficient +/-U (k=2), reproducibility, 20 x 1/3-oct bands U(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16] U(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16] exact
ISO 12999-2:2020 Table 5 / Formula (4) Practical coefficient +/-U (k=2), reproducibility, 5 octave bands U(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1] U(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1] exact
ISO 12999-2:2020 Clause 7, Examples 1/2 Single-number U (k=2): alpha_w and DLalpha,NRD alpha_w +/-0.07, DLalpha +/-1.6 dB alpha_w +/-0.07, DLalpha +/-1.6 dB exact
Outdoor propagation & occupational exposure: 100% (10/10)
Standard Quantity Expected (norm) Computed Δ Status
ISO 9613-1:1993 Table 1 Air attenuation @ 10 degC, 70 %, 1 kHz 3.66 dB/km (+/-0.01 dB/km) 3.658 dB/km -0.002 dB/km
ISO 9613-1:1993 Table 1 Air attenuation @ 0 degC, 20 %, 2 kHz 34.6 dB/km (+/-0.1 dB/km) 34.64 dB/km 0.04 dB/km
ISO 9613-2:1996 Table 2 Atmospheric attenuation grid, 6 conditions x 8 octave bands, dB/km all 48 cells within half a printed digit worst residual 0.939 x tolerance 0.939 x
ISO 9613-2:1996 Eq. (7) Geometrical divergence Adiv = 20 lg(d/d0) + 11 at 100 m 51 dB (+/-0 dB) 51 dB 0 dB
ISO 9613-2:1996 Table 3 Ground b'(0) porous limit -> Agr(250 Hz) = 2(-1.5 + 10.1) 17.2 dB (+/-0 dB) 17.2 dB 0 dB
ISO 9613-2:1996 clause 7.4 Single-edge diffraction saturates at the 20 dB cap 20 dB (+/-0 dB) 20 dB 0 dB
ISO 9613-2:1996 clause 7.4 Double-edge diffraction saturates at the 25 dB cap 25 dB (+/-0 dB) 25 dB 0 dB
ISO 9612:2009 Annex D Task-based LEX,8h + U (welder day, case a) LEX,8h 84.3; U 2.7 dB LEX,8h 84.3; U 2.7 dB -0.01; +0.02 dB
ISO 9612:2009 Annex E Job-based LEX,8h + U (production line, 18 workers) LEX,8h 88.1; U 3.8 dB LEX,8h 88.2; U 3.8 dB +0.06; -0.03 dB
ISO 9612:2009 Annex F Full-day LEX,8h + U (forklift drivers) LEX,8h 90.1; U 3.4 dB LEX,8h 90.1; U 3.4 dB +0.02; +0.03 dB
Materials: absorption, airflow & impedance: 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
ISO 11654:1997 Annex A.1 Weighted absorption alpha_w (no indicator) 0.60 (class C, no indic.) 0.60 (class C, '') 0
ISO 11654:1997 Annex A.2 Weighted absorption alpha_w with M indicator 0.60(M) 0.60(M) 0
ISO 9053-2:2020 Annex A.3 Thermal boundary-layer thickness b 0.00183 m (+/-0.00001 m) 0.00183 m 0 m
ISO 9053-2:2020 Annex A.3 Effective ratio of specific heats kappa' 1.37 (+/-0.001) 1.37 0
ISO 10534-1:1996 Eqs (9)/(13)/(14) Absorption from standing-wave ratio s=3 alpha 0.75 (+/-0), |r| 0.5 alpha 0.75, |r| 0.5000 0
ISO 10534-2 Eq. (17) / Annex D Two-microphone round trip recovers a known reflection factor abs(r - (0.3-0.4j)) = 0 (identity, +/-1e-9) 0 0
Scattering & diffusion (ISO 17497): 100% (5/5)
Standard Quantity Expected (norm) Computed Δ Status
ISO 17497-1:2004 Eq (2) Reference speed of sound at 20 C 343.2 m/s (+/-0 m/s) 343.2 m/s 0 m/s
ISO 17497-1:2004 Eqs (1)/(4)/(5) Scattering coefficient (synthetic chain) 0.0931 (+/-0) 0.0931 0
ISO 17497-1:2004 Annex A.5 Expanded uncertainty of scattering coefficient 0.02971 (+/-0) 0.02971 0
ISO 17497-2:2012 Formula (5) Diffusion coefficient (autocorrelation) 0.7367 (+/-0) 0.7367 0
ISO 17497-2:2012 Formula (8) Zenith area factor (radians convention) 1.57105 (+/-0) 1.57105 0
In-situ road absorption (ISO 13472): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ISO 13472-1:2002 Clause 4.2 Geometrical-spreading factor Kr 0.6667 (+/-0) 0.6667 0
ISO 13472-1:2002 Annex A Maximum-sampled-area radius 1.3425 m (+/-0 m) 1.3425 m 0 m
ISO 13472-2:2010 Clause 5.4.1 Spot-tube upper usable frequency f_u 1989.4 Hz (+/-0.1 Hz) 1989.4 Hz 0 Hz
Precision sound power (ISO 3745 / 9614-3): 100% (4/4)
Standard Quantity Expected (norm) Computed Δ Status
ISO 3745:2012 Clause 10.5 EXAMPLE Expanded uncertainty U (k=2) 4.123 dB (+/-0.001 dB) 4.123 dB 0 dB
ISO 3745:2012 Eq (11) K1 background floor (6 dB edge band) 1.2563 dB (+/-0.0001 dB) 1.2563 dB 0 dB
ISO 3745:2012 Eq (16) Meteorological C1 at 23 C reference -0.1282 dB (+/-0.0001 dB) -0.1282 dB 0 dB
ISO 9614-3:2002 Eqs (5)/(8)/(9) Uniform-intensity LW recovery 80 dB (+/-0 dB) 80 dB 0 dB
Human vibration (ISO 8041 / 2631 / 5349): 100% (15/15)
Standard Quantity Expected (norm) Computed Δ Status
ISO 8041-1:2017 Table B.8 Wk design-goal factor at 6,31 Hz 1.054 (+/-0.1%) 1.0544 0
ISO 8041-1:2017 Table B.9 Wm design-goal factor at 1,585 Hz 0.9342 (+/-0.1%) 0.9342 0
ISO 8041-1:2017 Table 1 Wh factor at the 500 rad/s reference 0.202 (+/-0.15%) 0.202 0
ISO 8041-1:2017 Table B.1 Wb design-goal factor at 6,31 Hz 1.054 (+/-0.1%) 1.0545 0
ISO 8041-1:2017 Table B.1 Wb design-goal factors at 1 / 100 Hz max rel dev ≤ 0,1 % 0.000267 0
ISO 8041-1:2017 Table 1 Wc factor at the 100 rad/s reference 0.5145 (+/-0.1%) 0.5145 0
ISO 8041-1:2017 Table 1 + Table B.3 Wd factors at the 100 rad/s reference and 1 Hz max rel dev ≤ 0,1 % 0.000162 0
ISO 8041-1:2017 Table B.4 We design-goal factor at 8 Hz 0.1263 (+/-0.1%) 0.1263 0
ISO 8041-1:2017 Table B.5 Wf design-goal factors at 0,1585 / 0,1 Hz max rel dev ≤ 0,1 % 0.000098 0
ISO 8041-1:2017 Table B.7 Wj design-goal factors at 6,31 / 8 Hz max rel dev ≤ 0,1 % 0.00001 0
ISO 8041-1:2017 Table 5 + Annex B All nine weightings inside the tolerance envelope (318 printed bands) 0 bands outside the Table 5 tolerances 0 0
ISO 5349-2:2001 Example E.2.1 Single-tool daily exposure A(8) 4.1 m/s^2 (+/-0.05 m/s^2) 4.14 m/s^2 0.037 m/s^2
ISO 5349-2:2001 Example E.3 Forestry three-task A(8) 3.6 m/s^2 (+/-0.05 m/s^2) 3.61 m/s^2 0.01 m/s^2
ISO 5349-1:2001 Eq. (C.1) VWF 10 % lifetime Dy at A(8)=7 4 yr (+/-0.1 yr) 4.04 yr 0.042 yr
Directive 2002/44/EC Art. 3 HAV/WBV action & limit values HAV 2.5/5.0, WBV 0.5/1.15 m/s^2 HAV 2.5/5.0, WBV 0.5/1.15 m/s^2 0
Speech intelligibility (ANSI S3.5-1997): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
ANSI S3.5-1997 Table 3 Band-importance function normalisation 1 (+/-0) 1 0
ANSI S3.5-1997 clause 5.4 Equivalent masking spectrum level at 200 Hz -1.665 (+/-0.001) -1.665 0
ANSI S3.5-1997 clause 5.6 Equivalent disturbance in quiet at 5000 Hz -23.6 dB (+/-0.01 dB) -23.6 dB 0 dB
ANSI S3.5-1997 clause 6 SII, noise 30 dB plus hearing loss 40 dB 0.2185 (+/-0.0001) 0.2185 0
R CRAN 'SII' Example C.2 One-third-octave method, independent oracle 0.851375 (+/-0.0001) 0.851375 0
ANSI S3.5-1997 clause 6 SII, standard speech in quiet, normal hearing 0.99582517 (+/-0.000001) 0.99582517 0
ANSI S3.5-1997 Table 3 Loud-effort speech spectrum level at 1 kHz 42.16 dB (+/-0 dB) 42.16 dB 0 dB
Impulsive-sound prominence (NT ACOU 112): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
NT ACOU 112:2002 Formula 1 Predicted prominence, OR=1000 dB/s, LD=30 dB 11.9542 (+/-0.0001) 11.9542 0
NT ACOU 112:2002 Formula 2 Adjustment KI to LAeq at prominence P=10 9 dB (+/-0 dB) 9 dB 0 dB
Room noise (ANSI S12.2-2019): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ANSI S12.2-2019 Table 1 NC-40 curve, tangency self-consistency 40 (+/-0) 40 0
ANSI S12.2-2019 Table D.1 RC-31 Mark II curve, 63 Hz level 51 (+/-0) 51 0
ANSI S12.2-2019 clause D.4 RC-35 curve, mid-frequency average LMF 35 (+/-0) 35 0
Hearing threshold (ISO 7029 / ISO 389-7): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ISO 7029:2017 Table 1 Median threshold, male age 60 at 4 kHz 20.209 dB (+/-0.001 dB) 20.208 dB 0 dB
ISO 7029:2017 Table 2 Upper spread su, male age 60 at 1 kHz 10.153 dB (+/-0.001 dB) 10.153 dB 0 dB
ISO 389-7:2005 Table 1 Free-field reference threshold at 1 kHz 2.4 dB (+/-0 dB) 2.4 dB 0 dB
Measurement uncertainty (GUM / Supplement 1): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
ISO/IEC Guide 98-3-1 clause 9.2 Combined uncertainty, additive model 2 (+/-0) 2 0
ISO/IEC Guide 98-3 Table G.2 Coverage factor, p=0.99, v=16 2.92 (+/-0.005) 2.921 0.001
ISO/IEC Guide 98-3 Annex G.4 Welch-Satterthwaite effective dof 40 (+/-0) 40 0
ISO/IEC Guide 98-3 Annex H.1 End-gauge combined uncertainty uc, nm 31.71 nm (+/-0.01 nm) 31.71 nm 0.001 nm
ISO/IEC Guide 98-3 Annex H.1 End-gauge expanded uncertainty U99, nm 92.1 nm (+/-0.1 nm) 92.1 nm 0.04 nm
ISO/IEC Guide 98-3 Annex H.2 (Table H.3) Correlated V/I/phi budget: uc(R), ohm 0.071 ohm (+/-0.001 ohm) 0.071 ohm 0 ohm
ISO/IEC Guide 98-3-1 Table 3 (clause 9.2.3) Seeded Monte Carlo, rectangular sum: 95 % interval endpoint +/-3.88 (u = 2.0) +/-3.886 (u = 2.002) 0.006
Noise-induced hearing loss (ISO 1999): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
ISO 1999:2013 Table D.2 Median NIPTS, 4 kHz, 90 dB, 20 yr 13 dB (+/-0.5 dB) 12.9 dB -0.057 dB
ISO 1999:2013 Table D.2 Worst-10 % NIPTS, 4 kHz, 90 dB, 20 yr 18 dB (+/-0.5 dB) 17.8 dB -0.239 dB
ISO 1999:2013 Table D.4 Worst-10 % NIPTS, 3 kHz, 100 dB, 40 yr 60 dB (+/-0.5 dB) 59.8 dB -0.172 dB
Multiple-shock whole-body vibration (ISO 2631-5): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
ISO 2631-5:2018 Formula 3 Daily acceleration dose, 5 x 40 m/s2 peaks 55.97 m/s2 (+/-0.01 m/s2) 55.97 m/s2 -0.002 m/s2
ISO 2631-5:2018 Formula C.3 Stress variable R, Annex C male example 1.22 (+/-0.01) 1.22 0
ISO 2631-5:2018 Formula C.5 Injury probability, Annex C male example 0.37 (+/-0.01) 0.37 -0.003
ISO 2631-5:2018 Annex C NOTE 5 Compressive stress Sd, female example 1.4 MPa (+/-0.01 MPa) 1.4 MPa -0.001 MPa
ISO 2631-5:2018 Annex C NOTE 5 Stress variable R, female example 0.97 (+/-0.01) 0.96 -0.008
ISO 2631-5:2018 Formula 1 vs Annex D Table D.1 Seat-to-spine transfer vs the 256 Hz digital filter (0,5-80 Hz) max abs(Formula 1 - filter) ≤ 0,04 0.001 0.001
Sound absorption in enclosed spaces (EN 12354-6): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
EN 12354-6:2003 Formula 1 Equivalent absorption area, Annex E bare room 2.26 m2 (+/-0.01 m2) 2.26 m2 0.003 m2
EN 12354-6:2003 Formula 5 Reverberation time, Annex E bare room 2.1 s (+/-0.1 s) 2.1 s 0.003 s
Prominent discrete tones (ECMA-418-1): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
ECMA-418-1:2024 Clause 10 Formula (2) Critical band at 1 kHz (f1,c / f2,c / dfc) dfc 162.2 Hz (+/-0.05 Hz); edges 922.2-1084.4 Hz dfc 162.22 Hz; edges 922.2-1084.4 Hz 0.017 Hz
ECMA-418-1:2024 Clause 11.6 Formula (14) Proximity spacing dfprox at 150 / 850 Hz 23 Hz @ 150 Hz; 63.8 Hz @ 850 Hz (+/-0.5 Hz) 23.0 Hz; 63.8 Hz +0.004; +0.044 Hz
Tonal audibility (ISO/PAS 20065): 100% (11/11)
Standard Quantity Expected (norm) Computed Δ Status
ISO/PAS 20065:2016 Formulae (12)-(14) Audibility at 137.3 Hz, Annex E spectrum 1 4.99 dB (+/-0.05 dB) 5.01 dB 0.022 dB
ISO/PAS 20065:2016 Formula (13) Masking index av at 137.3 / 592.2 Hz -2.02 dB @ 137.3 Hz; -2.4 dB @ 592.2 Hz (+/-0.005 dB) -2.017 dB; -2.400 dB +0.003; +0.000 dB
ISO/PAS 20065:2016 Formula (20) Mean audibility of the five spectra, Annex E 6.96 dB (+/-0.05 dB) 6.98 dB 0.018 dB
ISO/PAS 20065:2016 Formula (6) Mean narrow-band level LS from spectrum, Table E.1 49.22 dB (+/-0.02 dB) 49.22 dB -0.001 dB
ISO/PAS 20065:2016 Clause 6 Extended uncertainty U of the 137.3 Hz tone, Table E.2 2.79 dB (+/-0.02 dB) 2.8 dB 0.006 dB
ISO/PAS 20065:2016 Formulae (28)-(29) Extended uncertainty of the mean audibility, Annex E Step 4 1.38 dB (+/-0.01 dB) 1.38 dB -0.003 dB
ISO/PAS 20065:2016 Formula (8) Tone level LT from spectrum, Table E.1 67.96 dB (+/-0.02 dB) 67.96 dB -0.005 dB
ISO/PAS 20065:2016 Clause 5.3.8 Tone detection over the spectrum, Table E.1 tones at [118.4, 137.3, 158.8] Hz tones at [118.4, 137.3, 158.8] Hz exact
ISO/PAS 20065:2016 Clause 5.3.8 Step 3 Same-band FG combination inside analyze_spectrum, Table E.2 row 2 FG 72.15 dB (+/-0.02 dB) 72.15 dB -0.002 dB
ISO/PAS 20065:2016 Formula (17) Multi-tone FG combination, Table E.1 72.15 dB (+/-0.02 dB) 72.15 dB -0.002 dB
ISO/PAS 20065:2016 Formulae (18)/(19) Two-tone separation fD (DIN 45681 Annex J), 137.3 / 212 Hz fD(137.3)=24.09, fD(212)=21.0 Hz; Annex E pair combined fD(137.3)=24.09, fD(212)=21.00 Hz; Annex E pair combined exact
Psychoacoustic annoyance & fluctuation strength (Fastl & Zwicker): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Fastl & Zwicker Eqs (16.2)-(16.4) Psychoacoustic annoyance, worked (N5,S,F,R) tuple 37.0478 (+/-0.001) 37.0477 0
Fastl & Zwicker Eq (10.2) Fluctuation strength of AM broadband noise (60 dB, m=1, 4 Hz) 3.6943 vacil (+/-0.001 vacil) 3.6943 vacil 0 vacil
Fastl & Zwicker Ch. 10 / Osses et al. 2016 Fluctuation-strength calibration: 1 kHz / 60 dB / m=1 / 4 Hz AM tone 1 vacil (+/-0.05 vacil) 1 vacil 0 vacil
Electroacoustics: distortion & frequency response: 100% (12/12)
Standard Quantity Expected (norm) Computed Δ Status
IEC 60268-3:2013 (14.12.3.2) THD (rel. total RMS, the R convention the clause defines) 0.112853 (+/-0.0001) 0.112853 0
Closed-form harmonic synthesis (THD_F convention) THD (rel. fundamental, the widespread datasheet convention) 0.113578 (+/-0.0001) 0.113578 0
IEC 60268-3:2013 (14.12.5) 2nd-order harmonic distortion d2 (rel. total) 0.099361 (+/-0.0001) 0.099361 0
IEC 60268-3:2013 (14.12.7.2 g) Modulation distortion d_m,2 (arithmetic sideband sum over U_2,f2) 0.16 (+/-0.0001) 0.16 0
IEC 60268-3:2013 (14.12.7.2 h) Modulation distortion d_m,3 (arithmetic sideband sum over U_2,f2) 0.08 (+/-0.0001) 0.08 0
IEC 60268-3:2013 (14.12.8.1 a) Difference-frequency distortion d_d,2 (over U_2,ref = 2 U_2,f2) 0.03 (+/-0.0001) 0.03 0
IEC 60268-3:2013 (14.12.8.1 b) Difference-frequency distortion d_d,3 (arithmetic product sum) 0.04 (+/-0.0001) 0.04 0
IEC 60268-3:2013 (14.12.10) Total difference-frequency distortion (8 kHz / 11.95 kHz tones) 0.03605551 (+/-0.0001) 0.03605551 0
ITU-R BS.468-4 Table 1 Weighting network response at the 6.3 kHz peak (14.12.11 network) 12.2 dB (+/-0 dB) 12.2 dB 0 dB
IEC 60268-3:2013 (14.12.9) DIM of the 15 kHz / 3.15 kHz signal (Table 2, 9 products) 0.168819 (+/-0.0001) 0.168819 0
Bendat & Piersol, Random Data 4e H1 recovers a known first-order IIR gain at 1 kHz 0.8954 (+/-2%) 0.8954 0
Bendat & Piersol, Random Data 4e Ordinary coherence = 1 for a noiseless LTI path 1 (+/-0.001) 1 0
Calibrated spectral analysis (Bendat & Piersol): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
Bendat & Piersol, Random Data 4e Eq. (5.67) White-noise autospectral density = sigma^2/(fs/2) 0.000977 (+/-3%) 0.000982 0
Bendat & Piersol, Random Data 4e Eq. (8.158) PSD random error = 1/sqrt(nd) (Monte Carlo, 100 seeded records) 0.1768 (+/-6%) 0.1764 0
Bendat & Piersol, Random Data 4e Eq. (8.163) 95% chi-square confidence interval coverage (Monte Carlo) 0.95 (+/-0.025) 0.94 -0.01
Bendat & Piersol, Random Data 4e Eqs. (9.55)/(6.39) Coherent output spectrum of a known-SNR path: gamma^2 = SNR/(1+SNR) 0.7191 (+/-0.03) 0.7255 0.006
Closed-form power-law slope (10*lg(2) dB/octave per unit exponent) Pink-noise PSD slope over 20 Hz - 20 kHz, dB/octave -3.0103 dB/oct (+/-0.05 dB/oct) -3.0116 dB/oct -0.001 dB/oct
Constant-power 1/n-octave kernel (closed form) 1/3-octave smoothed line level = Pdf/(f0(2^(1/6)-2^(-1/6))) 0.021592 (+/-1e-07%) 0.021592 0
Correlation, time delay and envelope (B&P / Knapp & Carter): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
Bendat & Piersol, Random Data 4e Eq. (5.21) Cross-correlation peak of a 16-sample pure delay, samples 16 (+/-0.001) 16 0
Knapp & Carter 1976, Table I (PHAT) + sub-sample interpolation GCC-PHAT estimate of an exact 12.25-sample fractional delay, samples 12.25 (+/-0.005) 12.2483 -0.002
Bendat & Piersol, Random Data 4e Eq. (5.101) Cross-spectrum phase-slope estimate of the same fractional delay 12.25 (+/-0.001) 12.2498 0
Bendat & Piersol, Random Data 4e Eq. (8.120) BLWN autocorrelation coefficient at 3 samples vs sin(2piBt)/(2piBt) -0.1559 (+/-0.02) -0.1666 -0.011
Bendat & Piersol, Random Data 4e Example 8.5 Random error of the correlation peak: B=100 Hz, T=5 s, M/S=N/S=10 0.35 (+/-0.001) 0.3493 -0.001
Bendat & Piersol, Random Data 4e Table 13.1 Hilbert transform of cos recovers sin: max interior error 0 (+/-0) 0 0
Bendat & Piersol, Random Data 4e Eq. (13.27) Envelope of an AM waveform recovers 1 + mcos(2pifm*t) exactly 0 (+/-0) 0 0
Underwater acoustics (ISO 18405/17208/18406): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
ISO 18405:2017 / ISO 18406 Formula 7 Sound pressure level of a synthetic tone, dB re 1 µPa 123.0103 (+/-0.0001) 123.0103 0
ISO 18405:2017 / ISO 18406 Formulae 3-4 Sound exposure level of a 2 s tone, dB re 1 µPa²·s 120 (+/-0.001) 120 0
ISO 18406:2017 (6.4.2.1.3) Peak sound pressure level of a known waveform, dB re 1 µPa 129.5424 (+/-0.0001) 129.5424 0
ISO 17208-1:2016 Radiated noise level from RMS pressure and distance, dB re 1 µPa·m 46.0206 (+/-0.0001) 46.0206 0
ISO 17208-2:2019 (Formula 3) Lloyd's-mirror surface correction ΔL at a known k·d_s -3.5211 (+/-0.0001) -3.5211 0
ISO 18406:2017 (Formulae 8-9) Cumulative SEL of N identical strikes = SEL_ss + 10·lg(N) 196.9897 (+/-0) 196.9897 0
Underwater sound propagation (transmission loss): 100% (15/15)
Standard Quantity Expected (norm) Computed Δ Status
Mackenzie (1981) nine-term equation Speed of sound at 25 °C, 35 ‰, 1000 m (canonical check value), m/s 1550.744 m/s (+/-0.01 m/s) 1550.744 m/s 0 m/s
UNESCO/Chen-Millero vs Mackenzie Sound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s 1506.264 m/s (+/-1 m/s) 1506.524 m/s 0.261 m/s
Del Grosso (1974) vs Mackenzie Sound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s 1506.264 m/s (+/-1 m/s) 1506.313 m/s 0.049 m/s
Spherical spreading 20·lg(R) Geometrical spreading loss at R = 1000 m, dB 60 dB (+/-0 dB) 60 dB 0 dB
Thorp (1967) absorption Volume absorption α at 10 kHz (cold deep water), dB/km 1.1498 dB/km (+/-0 dB/km) 1.1498 dB/km 0 dB/km
Ainslie-McColm (1998) vs Francois-Garrison (1982) Absorption agreement at 10 kHz, 10 °C, 35 ‰, 0 m, pH 8, dB/km 0.9626 dB/km (+/-0.0963 dB/km) 0.9866 dB/km 0.024 dB/km
Francois-Garrison (1982) Part II Table IV Absorption α at 100 kHz, 10 °C, 35 ‰, 0 m, pH 8 (printed value), dB/km 33.6 dB/km (+/-0.05 dB/km) 33.63 dB/km 0.03 dB/km
Del Grosso refit (Wong-Zhu 1995 Table IV) c(t90 = 20 °C, S = 35, P = 500 bar) vs the printed check table, m/s 1603.679 m/s (+/-0.001 m/s) 1603.679 m/s 0 m/s
Wales-Heitmeyer (2002) ensemble spectrum Merchant-ship source PSD at 100 Hz (printed equation), dB re 1 µPa²/Hz 158.45 dB (+/-0.001 dB) 158.45 dB 0 dB
Passive sonar equation (Urick/Etter) Figure of merit SL − (NL − DI) − DT, dB 85 dB (+/-0 dB) 85 dB 0 dB
Seabed reflection (Rayleigh, normal incidence) Bottom loss at 90° grazing, sand ρ=1900 c=1650 over water, dB 9.0506 dB (+/-0 dB) 9.0506 dB 0 dB
Wenz wind noise (rule of fives) Wind spectrum level at 1 kHz, 5 kn (canonical anchor), dB re 1 µPa²/Hz 51.0206 dB (+/-0.0001 dB) 51.0206 dB 0 dB
Mellen thermal noise Thermal spectrum level at 50 kHz, 16.85 °C (physical), dB re 1 µPa²/Hz 19.3426 dB (+/-0 dB) 19.3426 dB 0 dB
JOMOPANS-ECHO ship source level Bulker V=13.5 kn L=211 m band level at 1 kHz (File S1 oracle), dB re 1 µPa m 161.394 dB (+/-0.01 dB) 161.394 dB 0 dB
UNESCO sound speed (EOS-80 canonical value) SVEL(S = 40, T68 = 40 °C, P = 1000 bar) vs Fofonoff & Millard 1983, m/s 1731.995 m/s (+/-0.02 m/s) 1732.004 m/s 0.009 m/s
Underwater numerical propagation (modes / rays / PE): 100% (4/4)
Standard Quantity Expected (norm) Computed Δ Status
Normal modes vs ideal waveguide Fundamental horizontal wavenumber kr1 at 20 Hz, 100 m (analytic), rad/m 0.077662 rad/m (+/-0.0001 rad/m) 0.077662 rad/m 0 rad/m
Normal modes vs image-source oracle Absolute TL at 1 km in the ideal waveguide (converged image sum), dB 48.238 dB (+/-0.02 dB) 48.239 dB 0.001 dB
Ray tracing vs linear gradient Turning depth of a 10° ray, c = 1500 + 0.05z (circular arc), m 462.8 m (+/-1 m) 462.8 m 0 m
Parabolic equation vs free field PE transmission loss at 2 km, homogeneous medium (spherical spreading), dB 66.021 dB (+/-0.1 dB) 66.021 dB 0 dB
Aircraft noise (ICAO Annex 16 / IEC 61265): 100% (14/14)
Standard Quantity Expected (norm) Computed Δ Status
ECAC Doc 29 noise fraction (half path) Finite-segment correction ΔF for a perpendicular foot at the segment start, dB -3.0103 dB (+/-0.001 dB) -3.0103 dB 0 dB
ECAC Doc 29 single-event chain SEL of a long level flyover vs the infinite-path limit LE∞ + ΔI − Λ, dB 83.444 dB (+/-0.01 dB) 83.444 dB 0 dB
ECAC Doc 29 impedance adjustment (standard atmosphere) Acoustic-impedance adjustment of NPD data at 15 °C / 101.325 kPa (Eq. 4-6/4-7), dB 0.074 dB (+/-0.0005 dB) 0.0741 dB 0 dB
ECAC Doc 29 reference workbook (segment Λ) Lateral attenuation of a climbing segment vs the ECAC Vol 3 Part 1 workbook, dB 6.3769 dB (+/-0.01 dB) 6.3769 dB 0 dB
ECAC Doc 29 start-of-roll directivity (jet) ΔSOR behind a takeoff ground-roll segment vs the Vol 3 Part 1 workbook, dB 0.3196 dB (+/-0.01 dB) 0.3196 dB 0 dB
ECAC Doc 29 start-of-roll directivity (turboprop) ΔSOR behind a takeoff ground-roll segment (turboprop, Eq. 4-24b), dB 1.0943 dB (+/-0.01 dB) 1.0944 dB 0 dB
ECAC Doc 29 workbook event assembly (JETFDS/R03, behind SOR) Energy sum of the reference per-segment SELs vs the B-1 event total, dB 74.73 dB (+/-0.01 dB) 74.733 dB 0.003 dB
SAE ARP 5534 band-attenuation continuity SAE-Method δ_B at the 150 dB branch split (Eq. 7 vs Eq. 8), dB 123.95 dB (+/-0.01 dB) 123.953 dB 0.003 dB
ECAC Doc 29 NPD interpolation Log-linear NPD level at the log-midpoint distance (Eq. 4-4), dB 97 dB (+/-0 dB) 97 dB 0 dB
SAE ARP 5534 pure-tone coefficient (ISO 9613-1) Mid-band α at 1 kHz, 25 °C, 70 % RH, 101.325 kPa, dB/m 0.006186 dB/m (+/-0 dB/m) 0.006186 dB/m 0 dB/m
ICAO Annex 16 Vol. I App. 2 Table A2-3 Perceived noisiness at SPL(b), 1 kHz band, in noys 1 (+/-0) 1 0
ICAO Doc 9501 ETM Vol. I Table 3-7 Tone correction of the turbofan example, dB 2 (+/-0) 2 0
ICAO Doc 9501 ETM Vol. I Table 4-4 Integrated-method reference EPNL, EPNdB 92.619 EPNdB (+/-0.01 EPNdB) 92.619 EPNdB 0 EPNdB
IEC 61265:1995 Table 1 Directional-response tolerance at 4 kHz / 90°, dB 2 dB (+/-0 dB) 2 dB 0 dB
Rotorcraft noise (ECAC Doc 32 / NORAH2): 100% (12/12)
Standard Quantity Expected (norm) Computed Δ Status
ECAC Doc 32 atmospheric attenuation (Table 4) ΔLa over a 1 km excess path at 1 kHz vs the NORAH2 guidance Table 4, dB 6.3 dB (+/-0.2 dB) 6.186 dB -0.114 dB
ECAC Doc 32 spherical spreading ΔLs at ten times the 60 m hemisphere reference distance (Eq. 24), dB -20 dB (+/-0 dB) -20 dB 0 dB
ECAC Doc 32 ground effect (rigid limit) ΔLg over a rigid surface at grazing incidence tends to +6 dB (Eq. 29), dB 6 dB (+/-1 dB) 6 dB 0.002 dB
ECAC Doc 32 propagation chain (NORAH2 prototype) LA of a single-hemisphere emission vs the NORAH2 prototype single-event history (R22 approach, 223.66 m slant), dB(A) 55.87 dB(A) (+/-0.1 dB(A)) 55.886 dB(A) 0.016 dB(A)
ECAC Doc 32 flight-condition interpolation (NORAH2 Eq. 8) Distance-scaled triangle blend of three uniform hemispheres, hand-checked, dB 97.0367 dB (+/-0.001 dB) 97.0364 dB 0 dB
ECAC Doc 32 flight-path kinematics (Eq. 17) Airspeed of a straight climbing track, 40 m/s ground speed at a 5° path angle, m/s 40.15279 m/s (+/-0.0001 m/s) 40.15279 m/s 0 m/s
ECAC Doc 32 retarded time (Eq. 22) Recorded-time delay at 100 m slant distance, r/c with c = 346.1 m/s, s 0.288934 s (+/-0.00001 s) 0.288934 s 0 s
ECAC Doc 32 single event (Eq. 27) SEL − LASmax of a constant-speed level flyover, 10·lg(π·d/V) closed form, dB 7.982 dB (+/-0.1 dB) 7.942 dB -0.04 dB
NORAH2 guidance mean ground plane (Eq. 36-40) Intercept of the plane fitted to a symmetric 20 m roofline, hand-checked, m 10 m (+/-0 m) 10 m 0 m
NORAH2 guidance mean flow resistivity (Eq. 41) Log-average of equal 1e4 and 1e6 Pa·s/m2 halves, hand-checked, Pa·s/m2 100000 Pa·s/m² (+/-0 Pa·s/m²) 100000 Pa·s/m² 0 Pa·s/m²
NORAH2 guidance diffraction at grazing (Eq. 42) Pure diffraction with the edge on the line of sight, 10·lg 3, dB 4.7712 dB (+/-0.0001 dB) 4.7712 dB 0 dB
NORAH2 guidance screening path difference (§A.4.5) Rubber-band delta over a 40 m hill, hand-checked geometry, m 4.2848 m (+/-0 m) 4.2848 m 0 m
Wind-turbine noise (IEC 61400-11): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
IEC 61400-11:2012 Formula 30 Critical bandwidth about a 500 Hz tone, Hz 117.255 Hz (+/-0 Hz) 117.255 Hz 0 Hz
IEC 61400-11:2012 Formula 26 Apparent sound power level of a single band, dB re 1 pW 148.5139 dB (+/-0.0001 dB) 148.5139 dB 0 dB
IEC 61400-11:2012 Formulae 31-34 Tonal audibility of a synthetic clean tone, dB 16.38 dB (+/-0.06 dB) 16.38 dB -0.001 dB
Porous & multilayer absorbers (Mechel / Bies / Cox & D'Antonio): 100% (10/10)
Standard Quantity Expected (norm) Computed Δ Status
Bies 5e App. D Table D.1 / Mechel 2e G.11 (2) Delany-Bazley normalised Zc at X = 0.1, real part 1.3241 (+/-0) 1.3241 0
Bies 5e App. D Table D.1 / Mechel 2e G.11 (2) Delany-Bazley normalised Zc at X = 0.1, imaginary part -0.4694 (+/-0) -0.4694 0
Miki 1990 Eqs. (30)-(34) Miki normalised wavenumber at f/sigma = 0.1, real part 1.4523 (+/-0) 1.4523 0
Johnson et al. 1987 / Cox & D'Antonio 3e Eq. (6.19) JCA static viscous limit j w rho_e -> sigma, Pa s/m2 20000 Pa s/m2 (+/-0.01%) 20000 Pa s/m2 0 Pa s/m2
Mechel 2e Sect. D.3 Eq. (1) Hard-backed layer: TMM vs -j Zc cot(kd), max rel deviation 0 (+/-0) 0 0
Lossless-layer limit (Mechel 2e Sect. D.3-D.4) Air cavity over a rigid wall at lambda/4: alpha 0 (+/-0) 0 0
Mechel 2e Sect. D.5 Maximum statistical absorption of a locally reacting plane 0.951 (+/-0.001) 0.951 0
Cox & D'Antonio 3e Eq. (7.9) Membrane resonance 60/sqrt(m d), m = 5 kg/m2, d = 5 cm, Hz 120 Hz (+/-2%) 119.85 Hz -0.15 Hz
Maa 1998 Fig. 5 / Cox & D'Antonio 3e Fig. 7.28 Microperforated panel (d=t=0.2 mm, b=2.5 mm, D=6 cm): peak alpha 0.95 (+/-0.05) 0.956 0.006
Maa 1998 Eqs. (5a)/(10) MPP peak absorption vs 4r/(1+r)^2 with Maa's printed resistance 4r/(1+r)^2 = 0.949 0.956 0.007
Program loudness (ITU-R BS.1770 / EBU R 128): 100% (8/8)
Standard Quantity Expected (norm) Computed Δ Status
ITU-R BS.1770-5 Annex 1 997 Hz sine at 0 dB FS on the left channel, LKFS -3.01 LKFS (+/-0.01 LKFS) -3.01 LKFS 0 LKFS
EBU Tech 3341:2023 Table 1 case 1 Integrated loudness of the -23 dBFS stereo sine, LUFS -23 LUFS (+/-0.1 LUFS) -22.99 LUFS 0.007 LUFS
EBU Tech 3341:2023 Table 1 case 5 Gated integrated loudness of the -26/-20/-26 dBFS steps, LUFS -23 LUFS (+/-0.1 LUFS) -22.98 LUFS 0.021 LUFS
EBU Tech 3341:2023 Table 1 case 6 Integrated loudness of the 5.0-channel sine (Table 3 weights), LUFS -23 LUFS (+/-0.1 LUFS) -23.02 LUFS -0.016 LUFS
EBU Tech 3341:2023 Table 1 case 15 True-peak level of the fs/4 sine at 0.5 FFS, dBTP -6 dBTP (+0.2/-0.4 dB) -6.02 dBTP -0.015 dBTP
EBU Tech 3341:2023 Table 1 case 19 True-peak level of the fs/4 sine at 1.41 FFS, dBTP 3 dBTP (+0.2/-0.4 dB) 3 dBTP 0.001 dBTP
EBU Tech 3342:2023 Table 1 case 1 Loudness range of the -20/-30 dBFS tone steps, LU 10 LU (+/-1 LU) 10 LU 0 LU
EBU Tech 3342:2023 Table 1 case 3 Loudness range of the -40/-20 dBFS tone steps, LU 20 LU (+/-1 LU) 20 LU 0 LU
2D FDTD wave simulation (Attenborough & Van Renterghem 2021, Ch. 4): 100% (2/2)
Standard Quantity Expected (norm) Computed Δ Status
Rigid rectangular box eigenfrequency Mode (1,1) of a 1.0 x 0.7 m rigid box, f = (c/2)*sqrt(1/lx^2 + 1/ly^2), Hz 299.06 Hz (+/-1.5 Hz) 298.91 Hz -0.153 Hz
Free-field pulse arrival delay Probe-to-probe delay of a pulse over 0.6 m of air, (r2 - r1)/c, ms 1.749 ms (+/-0.05 ms) 1.756 ms 0.007 ms
Swept-sine distortion & phase utilities (Farina / Novak): 100% (7/7)
Standard Quantity Expected (norm) Computed Δ Status
Farina 2000 / Novak et al. 2015 (Chebyshev identity) 3rd-harmonic response H3 magnitude of a cubic polynomial, re a3/4 0.05 (+/-0.0005) 0.05001 0
Novak et al. 2015, JAES 63(10), Eqs. 18/49 Synchronized-sweep phase of H3 (Chebyshev: -sin(3wt)), rad 3.1416 rad (+/-0.005 rad) 3.1411 rad 0 rad
Farina 2000, AES 108th Conv. (THD from one sweep) THD(1 kHz) of the polynomial vs sqrt((a2/2)^2+(a3/4)^2)/(1+3a3/4) 0.06149 (+/-0.001) 0.06159 0
Farina 2000 (distortion rejected from the linear IR) THD floor of a purely linear path (gain 0.5), max over 100-2000 Hz 0 (+/-0.001) 0.00033 0
Bendat & Piersol, Random Data 4e Sec. 13.1.4 (Hilbert relation) Min-phase reconstruction of a strictly min-phase biquad, max err, rad 0 rad (+/-0 rad) 0 rad 0 rad
First-order allpass closed form (1-a^2)/(1+2a cos w+a^2) Group delay of the a = 0.5 allpass at w = pi/2, samples 0.6 (+/-0.00001) 0.6 0
All-pass decomposition of a pure latency (B&P Sec. 13.1.4) Excess group delay of a biquad delayed 7.25 samples, samples 7.25 (+/-0) 7.25 0
Spherical ground & barriers (Attenborough / Salomons / Bies): 100% (6/6)
Standard Quantity Expected (norm) Computed Δ Status
Attenborough 2e Eq. (2.40c) (spherical Q, hard-ground limit) abs(Q) as Z grows large (Rp -> 1 so (1 - Rp) -> 0 and Q -> 1) 1 (+/-0.000001) 1 0
Salomons 2001 Sec. 3.4 (two-ray field over a rigid ground) dL enhancement at small path difference (constructive, +6 dB) 6.0206 dB (+/-0.1 dB) 6.0205 dB 0 dB
Salomons 2001 Eq. (D.59) (plane-wave Rp, grazing incidence) Re(Rp) at grazing (hs, hr -> 0, cos(theta) -> 0 so Rp -> -1) -1 (+/-0.001) -1 0
Bies 5e Eq. (5.138) (Kurze-Anderson, N -> 0) Barrier attenuation at the shadow boundary N = 0 5 dB (+/-0 dB) 5 dB 0 dB
Bies 5e Eq. (5.138) (Kurze-Anderson, large-N slope) Delta(N=10) - Delta(N=1) vs the 10 lg(10) = 10 dB decade growth 10 dB (+/-0.5 dB) 9.8845 dB -0.116 dB
Attenborough 2e Eqs. (9.19)-(9.20) (rigid half-plane, shadow boundary) Exact thin-screen insertion loss at grazing (field halved, 6 dB) 6.0206 dB (+/-0.6 dB) 5.7932 dB -0.227 dB

Tests & coverage — 23130 tests, 0 failures (✅ all green)
Python Version Tests Failures Coverage Status
macos-latest-3.13 3855 0 96.1% ✅ Passed
macos-latest-3.14 3855 0 96.1% ✅ Passed
ubuntu-latest-3.13 3855 0 96.1% ✅ Passed
ubuntu-latest-3.14 3855 0 96.1% ✅ Passed
windows-latest-3.13 3855 0 96.1% ✅ Passed
windows-latest-3.14 3855 0 96.1% ✅ Passed

Conformance harness: scripts/conformance_report.py · full CI artifacts

Sonar:
- S1244 (image_source.py): drop float == comparisons. The coincident
  source/receiver guard and the fully-absorbing-wall mask now use <= 0.0
  (both quantities are non-negative by construction, so the behaviour and
  the pinned oracles are unchanged).
- S3776 (image_source_rir cognitive complexity): extract _resolve_band_maps,
  _image_lattice, _image_amplitudes and _sample_ir with identical semantics;
  the reflection count (1561 at order 10) and exact geometry are unchanged.
- S5778 (tests): move the array constructions out of the pytest.raises blocks.

Bot findings:
- Reflectogram renderer: guard the scatter and colorbar so a max_order=0
  (direct-only) result does not crash on an empty scatter; regression test.
- reflection_density: clamp negative times so the t**2 term cannot report a
  spurious positive density before the direct sound.
- steady_state_spl: rename the room-constant local to r_const to avoid
  clashing with the critical distance rc.
- Tests: assert the per-band energy decay monotonically across all bands.
- Docs: language identifiers on the formula fences (MD040); describe T as the
  Eyring reverberation time (not a rate) and the fitted slope as recovering
  it; present the Schroeder frequency as a heuristic modal-to-diffuse
  crossover rather than a hard cutoff; note the order-limited T30 in the
  example. References sentence completed. llms regenerated.

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Actionable comments posted: 1

Caution

Some comments are outside the diff and can’t be posted inline due to platform limitations.

⚠️ Outside diff range comments (1)
docs/room-image-sources.md (1)

83-94: 📐 Maintainability & Code Quality | 🟡 Minor | ⚡ Quick win

Describe per-band output as bands, not necessarily octave bands.

ImageSourceResult.frequencies stores supplied band-centre frequencies and is not restricted to octave bands. Change “one row per octave band” and related wording to “one row per band” unless the API explicitly validates octave spacing.

🤖 Prompt for AI Agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

In `@docs/room-image-sources.md` around lines 83 - 94, Update the
ImageSourceResult documentation around image_source_rir to describe per-band
outputs generically: replace “octave band” and “octave bands” wording with
“band” and “bands,” including the related coefficient description. Preserve the
existing distinction between broadband 1D output and one row per supplied
frequency band.
🤖 Prompt for all review comments with AI agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

Inline comments:
In `@docs/references.md`:
- Around line 374-377: The Bies 5th-edition reference year is incorrect in
docs/references.md: change it from 2018 to 2017 to match the DOI/publisher year.
The corresponding entry in docs/room-image-sources.md requires no direct change;
use it as the consistency reference.

---

Outside diff comments:
In `@docs/room-image-sources.md`:
- Around line 83-94: Update the ImageSourceResult documentation around
image_source_rir to describe per-band outputs generically: replace “octave band”
and “octave bands” wording with “band” and “bands,” including the related
coefficient description. Preserve the existing distinction between broadband 1D
output and one row per supplied frequency band.
🪄 Autofix (Beta)

Fix all unresolved CodeRabbit comments on this PR:

  • Push a commit to this branch (recommended)
  • Create a new PR with the fixes

ℹ️ Review info
⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: ea383740-b6f5-4b78-9c34-01aca5e889c5

📥 Commits

Reviewing files that changed from the base of the PR and between ce5eac1 and d3c346e.

📒 Files selected for processing (11)
  • docs/references.md
  • docs/room-image-sources.md
  • docs/theory-rooms-buildings.md
  • llms-full.txt
  • site/src/content/docs/es/guides/room-image-sources.mdx
  • site/src/content/docs/guides/room-image-sources.mdx
  • src/phonometry/_plot/room.py
  • src/phonometry/room/image_source.py
  • src/phonometry/room/steady_field.py
  • tests/room/test_image_source.py
  • tests/room/test_steady_field.py

Comment thread docs/references.md
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@jmrplens
jmrplens merged commit eed958d into main Jul 19, 2026
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@jmrplens
jmrplens deleted the feat/room-image-sources branch July 19, 2026 12:31
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