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feat: STOI/ESTOI objective intelligibility and AES17 dynamic range / idle channel noise#230

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feat/stoi-estoi-aes17
Jul 19, 2026
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feat: STOI/ESTOI objective intelligibility and AES17 dynamic range / idle channel noise#230
jmrplens merged 4 commits into
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feat/stoi-estoi-aes17

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@jmrplens

@jmrplens jmrplens commented Jul 19, 2026

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Summary

Objective speech-intelligibility prediction for the hearing domain and the remaining AES17 amplifier metrics for electroacoustics, clean-room from Taal et al. (2010, 2011) and Jensen and Taal (2016), and AES17-2015.

  • stoi(clean, degraded, fs, *, extended=False): the short-time objective intelligibility measure and its extended variant, sharing one front end (resample to 10 kHz, MATLAB Hann framing, 40 dB silent-frame removal, 15 one-third-octave bands from 150 Hz, 384 ms segments). STOI is the clipped per-band envelope correlation; ESTOI is the row- then column-normalised spectral correlation that credits the glimpsing benefit under modulated maskers. Frozen result with per-segment and per-band scores and a .plot().
  • dynamic_range and idle_channel_noise (AES17 6.4.1-6.4.2): reuse the existing standard notch and the ITU-R 468 weighting through a CCIR-RMS helper.

Validation

The implementation matches the reference pystoi (installed as a test-only dependency) to about 1e-16 for STOI and 1e-15 for ESTOI across SNRs of 20, 10, 0 and -10 dB, reconfirmed independently in review. Degenerate cases are exact (identical signals give 1.0, uncorrelated gives below 0.3), scores are monotonic with SNR and level-invariant, and near-silent or single-tone inputs stay finite. The AES17 metrics match their closed forms (idle noise of a 1 kHz -20 dBFS tone is -25.63 dBFS from the CCIR-RMS offset; dynamic range over a -40 dBFS residual is 40.4 dB). Five new conformance checks (324 total, byte-exact report).

Checks

ruff, mypy, bandit, full pytest (3824 passed, no new warnings), conformance byte-exact, figures within tolerance (852, one new in four variants), api-docs with no drift, curated API table 725 names, site i18n parity and full build clean. Adversarially reviewed; the worthwhile findings applied (friendly short-signal error, tightened contrast tolerance).

Review in cubic

Summary by CodeRabbit

  • New Features
    • Added STOI and ESTOI objective speech intelligibility metrics (with optional extended ESTOI mode).
    • Added AES17-2015 dynamic range and idle-channel noise measurements.
    • Added plotting support for intelligibility results.
  • Documentation
    • Published new objective-intelligibility guide and API docs for STOI/ESTOI, dynamic range, and idle-channel noise (including multilingual site updates).
    • Updated conformance reporting to cover the new checks (324/324 passing).
  • Tests
    • Added comprehensive coverage for STOI/ESTOI, including validation, scaling/resampling behavior, plotting, and reference cross-checks; plus AES17 noise/dynamic-range regressions.

jmrplens added 3 commits July 19, 2026 15:23
…el noise

Add the two correlation-based objective speech-intelligibility measures in
phonometry.hearing.objective_intelligibility: STOI (Taal, Hendriks, Heusdens
& Jensen 2011) and ESTOI (Jensen & Taal 2016). They share a 10 kHz, 256-sample
Hann, 512-point, 15-band one-third-octave, 384 ms segment front end; STOI
averages the clipped per-band envelope correlation, ESTOI the row- and
column-normalised spectral correlation that tracks modulated maskers. The
stoi() entry point returns a STOIResult with the index, the intermediate
scores and a .plot().

Add the AES17-2015 noise measurements to electroacoustics.distortion:
dynamic_range (6.4.1) and idle_channel_noise (6.4.2), both reusing the
standard notch and the ITU-R BS.468-4 curve through the CCIR-RMS weighting
(the 468 curve with the standard -5.63 dB offset, unity at 2 kHz).
STOI/ESTOI: degenerate cases (identical -> 1, uncorrelated -> low), SNR
monotonicity, level invariance, input validation and an external cross-check
against pystoi (added as a test-only dependency; the library reimplements from
the papers and never imports it at runtime, and the two agree to under 1e-6).

AES17: closed-form dBFS oracles for idle channel noise (a 1 kHz tone reads its
level minus the 5.63 dB CCIR-RMS offset) and dynamic range (full-scale sine
over a known residual), plus level scaling and monotonicity with noise.

Register five conformance checks and refresh docs/CONFORMANCE.md.
…gure

Add the Objective Intelligibility (STOI & ESTOI) guide across the GitHub docs
and the EN/ES site, wire it into the Speech section, sidebar and indexes, and
document the AES17 dynamic range and idle channel noise in the electroacoustics
guides. Add the STOI-vs-ESTOI concept figure (four language/theme variants)
showing that ESTOI credits the speech glimpsed in a modulated masker's gaps
while STOI barely separates the two maskers. Refresh the generated API
reference, the curated API table and the CHANGELOG.

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coderabbitai Bot commented Jul 19, 2026

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Review Change Stack

📝 Walkthrough

Walkthrough

The PR adds STOI/ESTOI speech-intelligibility metrics and AES17 dynamic-range and idle-channel-noise measurements, exposes their APIs, adds validation and conformance coverage, and updates guides, API references, navigation, generated documentation, and changelog content.

Changes

Measurement metrics

Layer / File(s) Summary
STOI and ESTOI computation
src/phonometry/hearing/*, src/phonometry/_plot/hearing.py, tests/hearing/*, scripts/conformance_report.py, scripts/generate_graphs.py
Implements resampling, framing, band analysis, STOI/ESTOI scoring, result plotting, validation, conformance checks, and generated comparison figures.
AES17 noise measurements
src/phonometry/electroacoustics/distortion.py, src/phonometry/electroacoustics/__init__.py, tests/electroacoustics/test_distortion.py, scripts/conformance_report.py
Adds CCIR-RMS-weighted dynamic_range and idle_channel_noise calculations with exports, regression tests, and AES17 conformance checks.
Documentation and publishing
docs/*, site/*, llms*, scripts/generate_llms.py, site/astro.config.mjs, CHANGELOG.md
Documents both metric families, adds the objective-intelligibility guide and navigation, updates API references and generated documentation, and records the new capabilities.

Estimated code review effort: 4 (Complex) | ~45 minutes

Sequence Diagram(s)

sequenceDiagram
  participant Caller
  participant stoi
  participant resample_poly
  participant STOIResult
  Caller->>stoi: clean, degraded, fs, extended
  stoi->>resample_poly: resample inputs to 10 kHz
  resample_poly-->>stoi: resampled signals
  stoi->>STOIResult: create score and intermediate arrays
  STOIResult-->>Caller: return value and plotting interface
Loading

Possibly related PRs

Poem

A bunny hears new scores arise,
STOI hops through frames and skies.
AES17 weighs noise just right,
Dynamic range shines clear and bright.
Docs bloom softly, tests all cheer—
New metrics thump within my ear!

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 48.15% 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 accurately summarizes the main additions: STOI/ESTOI objective intelligibility and AES17 dynamic range/idle channel noise.
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
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🧪 Generate unit tests (beta)
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Code Review

This pull request introduces objective speech intelligibility measures (STOI and ESTOI) and AES17-2015 noise measurements (dynamic range and idle channel noise) along with their corresponding documentation, conformance reports, and tests. Feedback on the implementation suggests adding validation checks in the electroacoustics module to handle empty input signals and to ensure the fundamental frequency remains below the Nyquist frequency. Additionally, the short-time framing and spectrogram calculation logic in the objective intelligibility module should be adjusted to correctly include the final valid frame of the signal.

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Comment on lines +951 to +952
n = x.size
spec = np.fft.rfft(x)

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high

If the input signal x is empty, performing reduction operations (such as computing the mean square) will result in errors. Always validate that input arrays are not empty before performing reduction operations and raise a clear, descriptive ValueError.

Suggested change
n = x.size
spec = np.fft.rfft(x)
n = x.size
if n == 0:
raise ValueError("Input signal x cannot be empty.")
spec = np.fft.rfft(x)
References
  1. Always validate that input arrays are not empty before performing reduction operations (such as np.min or np.max) to prevent cryptic system errors and instead raise a clear, descriptive ValueError.

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Declined: _ccir_rms_weighted_rms is a private helper, and both public callers run _validate_signal (which requires at least 64 samples) first, so it can never receive an empty array.

Comment on lines +1027 to +1029
else:
f0 = _positive(fundamental, "fundamental")
residual = _notched_residual(sig, fs_v, f0, float(notch_q))

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medium

If the fundamental frequency f0 is greater than or equal to the Nyquist frequency (fs / 2), the underlying notch filter design will fail and raise a less descriptive ValueError from SciPy. Adding a defensive check here ensures a clear and helpful error message is presented to the user.

Suggested change
else:
f0 = _positive(fundamental, "fundamental")
residual = _notched_residual(sig, fs_v, f0, float(notch_q))
else:
f0 = _positive(fundamental, "fundamental")
if f0 >= fs_v / 2.0:
raise ValueError("Fundamental frequency must be less than the Nyquist frequency (fs / 2).")
residual = _notched_residual(sig, fs_v, f0, float(notch_q))

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Declined: dynamic_range calls _notched_residual, which already raises a descriptive error when the fundamental is at or above the Nyquist frequency, before SciPy is reached.

def _frame_signal(sig: NDArray[np.float64], window: NDArray[np.float64],
hop: int) -> NDArray[np.float64]:
"""Stack of ``window``-tapered, ``hop``-spaced frames of length ``_FRAME``."""
starts = range(0, sig.size - _FRAME, hop)

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medium

The range range(0, sig.size - _FRAME, hop) excludes the very last frame of the signal when the signal length is exactly a multiple of hop plus _FRAME (since the stop value of range is exclusive). Changing the stop value to sig.size - _FRAME + 1 ensures that the final valid frame is included and processed.

Suggested change
starts = range(0, sig.size - _FRAME, hop)
starts = range(0, sig.size - _FRAME + 1, hop)

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Declined with evidence: pystoi and the authors' MATLAB use the exclusive frame range without +1. Adding it would create an extra frame whenever (n - frame) is divisible by the hop, changing the frame count and breaking the 1e-16 parity with the reference. The oracle must not move.

summed over each band's bins.
"""
hop = _FRAME // 2
starts = range(0, sig.size - _FRAME, hop)

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medium

Similar to _frame_signal, the range range(0, sig.size - _FRAME, hop) excludes the final valid frame when the signal length is exactly a multiple of hop plus _FRAME. Changing the stop value to sig.size - _FRAME + 1 ensures the last frame is included in the spectrogram computation.

Suggested change
starts = range(0, sig.size - _FRAME, hop)
starts = range(0, sig.size - _FRAME + 1, hop)

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Declined for the same reason as the sibling thread: the exclusive range matches the reference implementation; +1 would alter the frame count and break parity.

# there is nothing to segment. Checking the frame count here keeps the
# friendly message (a bare matmul on an empty spectrogram would raise a
# cryptic shape error instead).
n_frames = len(range(0, x.size - _FRAME, _FRAME // 2))

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medium

To align with the updated framing logic that includes the last frame, the frame count calculation should also use x.size - _FRAME + 1 as the stop value.

Suggested change
n_frames = len(range(0, x.size - _FRAME, _FRAME // 2))
n_frames = len(range(0, x.size - _FRAME + 1, _FRAME // 2))

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Declined for the same reason: the frame range is intentionally exclusive to match pystoi and the authors' MATLAB; verified parity stays at 1e-16.

@codecov

codecov Bot commented Jul 19, 2026

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Codecov Report

❌ Patch coverage is 97.19626% with 6 lines in your changes missing coverage. Please review.
✅ Project coverage is 96.11%. Comparing base (eed958d) to head (18f854e).

Files with missing lines Patch % Lines
src/phonometry/electroacoustics/distortion.py 94.11% 3 Missing ⚠️
...rc/phonometry/hearing/objective_intelligibility.py 97.84% 3 Missing ⚠️
Additional details and impacted files
@@            Coverage Diff             @@
##             main     #230      +/-   ##
==========================================
+ Coverage   96.10%   96.11%   +0.01%     
==========================================
  Files         134      135       +1     
  Lines       17831    18041     +210     
==========================================
+ Hits        17137    17341     +204     
- Misses        694      700       +6     

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Actionable comments posted: 3

🤖 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 `@src/phonometry/_plot/hearing.py`:
- Line 89: Update the y-axis limits in the hearing plot to accommodate
correlation values across the full [-1, 1] range, while preserving the existing
[0, 1] limits for ratio-based plots such as plot_sti and plot_sii.
- Around line 79-81: Review the axis setup around the inline ax.set_xticks and
ax.set_xticklabels calls, and reuse _band_axis only if its abbreviated 1k/2k
labels are acceptable. Otherwise retain the explicit frequency labels so
one-third-octave values such as 1000 and 2000 Hz remain visible.

In `@src/phonometry/hearing/objective_intelligibility.py`:
- Around line 149-153: Vectorize frame extraction and spectral processing in
_frame_signal and _band_spectrogram: use sliding_window_view or equivalent
batched array operations to construct windowed frames, then call np.fft.rfft
once on the 2-D frame array with n=_NFFT and axis=1 instead of iterating per
frame. Preserve the existing frame spacing, windowing, output shape, and
handling of recordings that do not produce complete frames.
🪄 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: a60a8292-6192-439a-8d41-410f81cfca27

📥 Commits

Reviewing files that changed from the base of the PR and between eed958d and 5670506.

⛔ Files ignored due to path filters (5)
  • .github/images/stoi_intelligibility.svg is excluded by !**/*.svg
  • .github/images/stoi_intelligibility_dark.svg is excluded by !**/*.svg
  • .github/images/stoi_intelligibility_es.svg is excluded by !**/*.svg
  • .github/images/stoi_intelligibility_es_dark.svg is excluded by !**/*.svg
  • site/src/generated/api-sidebar.mjs is excluded by !**/generated/**
📒 Files selected for processing (31)
  • CHANGELOG.md
  • docs/CONFORMANCE.md
  • docs/README.md
  • docs/api-reference.md
  • docs/electroacoustics.md
  • docs/objective-intelligibility.md
  • llms-full.txt
  • llms.txt
  • requirements-dev.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/electroacoustics.mdx
  • site/src/content/docs/es/guides/objective-intelligibility.mdx
  • site/src/content/docs/es/guides/sections/speech.md
  • site/src/content/docs/guides/electroacoustics.mdx
  • site/src/content/docs/guides/objective-intelligibility.mdx
  • site/src/content/docs/guides/sections/speech.md
  • site/src/content/docs/reference/api/electroacoustics/distortion.md
  • site/src/content/docs/reference/api/index.md
  • site/src/content/docs/reference/api/speech/objective-intelligibility.md
  • src/phonometry/__init__.py
  • src/phonometry/_plot/hearing.py
  • src/phonometry/electroacoustics/__init__.py
  • src/phonometry/electroacoustics/distortion.py
  • src/phonometry/hearing/__init__.py
  • src/phonometry/hearing/objective_intelligibility.py
  • tests/electroacoustics/test_distortion.py
  • tests/hearing/test_objective_intelligibility.py

Comment thread src/phonometry/_plot/hearing.py
Comment thread src/phonometry/_plot/hearing.py Outdated
Comment thread src/phonometry/hearing/objective_intelligibility.py Outdated
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Numerical conformance report

324/324 conformance checks pass across 40 domains and 198 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
Objective intelligibility (STOI / ESTOI): 100% (3/3)
Standard Quantity Expected (norm) Computed Δ Status
Taal et al. 2011 (Eq. 6, degenerate) STOI of a signal against itself = 1 (perfect correlation) 1 (+/-0.000001) 1 0
Jensen & Taal 2016 (Eq. 8, degenerate) ESTOI of a signal against itself = 1 (perfect spectral correlation) 1 (+/-0.000001) 1 0
Taal et al. 2011 (monotonicity with SNR) STOI rises from -15 dB to +25 dB SNR speech-shaped noise STOI(+25 dB) - STOI(-15 dB) > 0.2 0.462 (0.389 -> 0.851) 0
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% (14/14)
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
AES17-2015 (6.4.2 / 5.2.7) Idle channel noise, 1 kHz -20 dBFS tone (CCIR-RMS -5.63 dB offset) -25.63 dB (+/-0.01 dB) -25.63 dB 0 dB
AES17-2015 (6.4.1) Dynamic range, full-scale reference over a -40 dBFS residual at 2 kHz 40 dB (+/-0.6 dB) 40.41 dB 0.414 dB
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 — 23328 tests, 0 failures (✅ all green)
Python Version Tests Failures Coverage Status
macos-latest-3.13 3888 0 96.1% ✅ Passed
macos-latest-3.14 3888 0 96.1% ✅ Passed
ubuntu-latest-3.13 3888 0 96.1% ✅ Passed
ubuntu-latest-3.14 3888 0 96.1% ✅ Passed
windows-latest-3.13 3888 0 96.1% ✅ Passed
windows-latest-3.14 3888 0 96.1% ✅ Passed

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

- Extract the AES17 notch-Q validation into a shared _validate_notch_q helper,
  removing the duplicated range literal across the distortion functions
  (Sonar S1192).
- Move the input construction out of the pytest.raises blocks in the STOI
  input-validation test so each block exercises a single call (Sonar S5778).
- Plot the STOI/ESTOI intermediate correlations on a [-1, 1] axis (they are
  cosine-similarity quantities, not [0, 1] ratios) so anti-correlated bands
  are not clipped.
- Vectorise the STOI frame extraction and spectrogram (one strided gather and
  a single batched rfft), numerically identical to the per-frame loop; the
  pystoi cross-check is unchanged at ~1e-16.

The framing keeps the reference range(0, n - frame, hop) (the trailing partial
frame is dropped, matching the authors' MATLAB), so the STOI/ESTOI oracle does
not move.

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Caution

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

⚠️ Outside diff range comments (1)
src/phonometry/electroacoustics/distortion.py (1)

1027-1031: 🎯 Functional Correctness | 🟠 Major | ⚡ Quick win

dynamic_range() should not auto-detect when fundamental is omitted. In src/phonometry/electroacoustics/distortion.py:1027-1031, the docstring says None uses the AES17 997 Hz tone, but this branch picks the largest FFT peak instead. Omitting the argument can notch the wrong component and skew the reported dynamic range. Either default to 997 Hz here or update the public contract and add coverage for the auto-detect path.

🤖 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 `@src/phonometry/electroacoustics/distortion.py` around lines 1027 - 1031, The
fundamental=None branch in dynamic_range() violates the documented AES17
behavior by auto-detecting an FFT peak. Make omitted fundamental use the
documented 997 Hz tone, while preserving the explicit-fundamental path and
existing validation.
🤖 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.

Outside diff comments:
In `@src/phonometry/electroacoustics/distortion.py`:
- Around line 1027-1031: The fundamental=None branch in dynamic_range() violates
the documented AES17 behavior by auto-detecting an FFT peak. Make omitted
fundamental use the documented 997 Hz tone, while preserving the
explicit-fundamental path and existing validation.

ℹ️ Review info
⚙️ Run configuration

Configuration used: Organization UI

Review profile: ASSERTIVE

Plan: Pro

Run ID: 4f4ce5a7-2cda-4b29-871c-b9083cb4dbfe

📥 Commits

Reviewing files that changed from the base of the PR and between 5670506 and 18f854e.

📒 Files selected for processing (4)
  • src/phonometry/_plot/hearing.py
  • src/phonometry/electroacoustics/distortion.py
  • src/phonometry/hearing/objective_intelligibility.py
  • tests/hearing/test_objective_intelligibility.py

@sonarqubecloud

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@jmrplens
jmrplens merged commit 6d39a09 into main Jul 19, 2026
25 checks passed
@jmrplens
jmrplens deleted the feat/stoi-estoi-aes17 branch July 19, 2026 14:01
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