music/exemplars/formula_cards/UNMATCHED__07_Lake.json
{
"schema": "formula-card/v1",
"consumer": "docs/proposals/music/MASTERPIECE_PROGRAM.md rung 2 (the archetype synthesis -> MASTERPIECE_STANDARD.md)",
"tier": "RUNG-1 MEASURED",
"legal_posture": "ANALYSIS FOR UNDERSTANDING ONLY. Audio lawfully obtained by Josh, read from disk, measured, and never copied, redistributed, or used as model input of any kind.",
"track_id": "UNMATCHED__07_Lake",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon Diamond & Pokémon Pearl_ Super M\\07 Lake.m4a",
"sha256": "cd169d9ff550a9421b81cfc465c7c10d07bd283f0ddd27fd9a40b48db777c095",
"bytes": 3064651,
"source_format": "mov,mp4,m4a,3gp,3g2,mj2",
"source_codec": "aac",
"source_sample_rate_hz": 44100,
"source_channels": 2,
"lossless_source": false,
"analysis_sample_rate_hz": 22050,
"decoder": "ffmpeg.exe :: ffmpeg version 9.0-full_build-www.gyan.dev Copyright (c) 2000-2026 the FFmpeg developers",
"measured_at": "2026-08-07T02:49:06+00:00",
"format_induced_limit": "lossy source (aac); high-band timbre figures carry codec artefacts and the card declares it",
"control": {
"controls_passed": 24,
"controls_total": 24,
"ran_at": "2026-08-06T20:41:42+00:00",
"ffmpeg_version": "ffmpeg version 9.0-full_build-www.gyan.dev Copyright (c) 2000-2026 the FFmpeg developers",
"note": "This measurement is admissible only because the positive control recovered its planted answers in the same process, immediately before it."
},
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2.229,
9.125,
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24.102,
32.392,
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52.315,
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67.361,
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64.27,
64.64,
65.02,
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66.13,
66.5,
66.87,
67.24,
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69.1,
69.47,
69.85,
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70.96,
71.33,
71.7,
72.07,
72.45,
72.82
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184.57,
184.57,
184.57,
184.57,
198.77,
95.7,
95.7,
95.7,
95.7,
64.6,
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95.7,
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95.7,
95.7,
95.7,
95.7,
95.7,
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64.6,
64.6,
64.6,
64.6,
95.7,
95.7,
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95.7,
95.7,
95.7,
95.7,
95.7,
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64.6,
64.6,
64.6,
64.6,
64.6,
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95.7,
95.7,
95.7,
95.7,
95.7,
95.7,
95.7,
95.7,
95.7,
95.7,
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64.6,
64.6,
64.6,
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198.77,
198.77,
198.77,
95.7,
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129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
95.7,
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129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
129.2,
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129.2,
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129.2,
129.2,
129.2,
129.2,
95.7,
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129.2,
129.2,
129.2,
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129.2,
129.2,
129.2,
129.2,
129.2,
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95.7,
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64.6,
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198.77,
198.77,
198.77,
198.77,
198.77,
63.02,
63.02,
198.77,
198.77,
198.77
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{
"position_s": 0.09,
"duration_s": 6.66,
"delta_bpm": 55.08,
"shape": "step"
},
{
"position_s": 9.75,
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"shape": "step"
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{
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"shape": "step"
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{
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{
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"shape": "step"
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{
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"shape": "step"
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{
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"shape": "step"
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{
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{
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"shape": "step"
},
{
"position_s": 67.62,
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"delta_bpm": 60.66,
"shape": "step"
}
],
"dispersion_bpm": 43.833,
"rubato_depth_bpm": 134.168
},
"global_bpm": 95.7,
"octave_ambiguity_note": "Beat trackers pick a metrical level, and half/double-time readings are a real and known property, not an error -- the rig's own control plants 120 bpm and this estimator returns 60. Every bar figure on this card (time-to-hook in bars, the complexity index's bar length) inherits whichever level was picked, so compare bar counts within a card, never across cards, until rung 2 pins the metrical level per class.",
"windowed_tempo_stability": {
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"tempo_bpm_median_local": 95.7,
"tempo_iqr_bpm": 33.5,
"tempo_stability": 0.0,
"beat_interval_cv": 0.0135
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"measured": null,
"note": "Bar arithmetic on this card uses 4 beats per bar at the baseline tempo. The onset period beside it is MEASURED; the signature is not."
},
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}
},
"tonality": {
"key": "A#",
"mode": "major",
"windowed_key_agreement": 0.4444,
"modulation_note": "Windowed key agreement below ~0.7 is the modulation signal at rung 1; a pivot-chord map needs symbolic transcription (rung 2)."
},
"the_hook": {
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"onset_s": 0.383,
"onset_bars": 0.15,
"pitch_contour": "UUDD---U-UUD---",
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0,
3,
4,
12,
14,
43,
47
],
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3.0,
-14.0,
-12.0,
0.0,
0.0,
0.0,
3.0,
0.0,
43.0,
4.0,
-47.0,
0.0,
0.0,
0.0
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"range_semitones": 50.0,
"distinctive_deviation": {
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"at_note_index": 12,
"is_licensed_leap": true
}
},
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"self_similarity_lift": 0.0693,
"recurrence_lag_s": 0.464,
"interval_3gram_repetition": 0.1277,
"interval_4gram_repetition": 0.0323
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"method": "spectral_band_proxy",
"confidence": "LOW-FOR-ROSTER, USABLE-FOR-ARRANGEMENT",
"method_note": "Section 11.1 requires the lane method be declared. Bands are not instruments: two instruments in one octave read as one lane, and one instrument spanning two octaves reads as two. Entry/exit and simultaneity shapes are trustworthy; a roster is not claimed.",
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"low_mid",
"mid",
"upper_mid",
"presence",
"brilliance",
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"ultra"
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20,
45
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7.546,
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13.491,
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17.438
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43.491,
44.327
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44.745,
45.813
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49.691,
50.364
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50.666,
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58.166,
58.793
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59.49,
61.579
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[
63.181,
63.762
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[
64.621,
65.132
]
]
},
{
"lane": "low_bass",
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45,
90
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7.546,
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12.841,
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16.602,
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27.864,
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31.602,
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42.864,
44.28
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45.047,
45.674
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46.881,
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48.181,
48.901
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49.551,
50.527
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50.689,
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52.245,
53.963
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54.729,
55.496
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55.681,
56.424
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57.237,
62.02
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62.229,
63.948
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[
64.11,
65.457
],
[
65.666,
66.386
]
]
},
{
"lane": "bass",
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90,
180
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1.254,
3.228
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5.039,
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7.523,
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8.777,
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12.446,
14.42
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15.813,
18.297
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20.271,
22.036
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23.986,
25.658
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27.492,
29.396
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30.813,
33.274
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35.225,
37.036
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39.033,
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42.493,
44.489
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45.976,
57.98
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[
58.166,
58.932
],
[
59.095,
63.948
],
[
64.11,
68.29
]
]
},
{
"lane": "low_mid",
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180,
355
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"active_fraction": 0.676,
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0.348,
3.297
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4.923,
6.989
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8.568,
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12.399,
14.489
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15.882,
18.344
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19.923,
21.966
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23.731,
25.774
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27.423,
29.489
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31.045,
33.205
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34.923,
36.943
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38.731,
40.728
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42.423,
44.536
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[
45.929,
57.98
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[
58.166,
60.511
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[
60.674,
61.44
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[
61.603,
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]
]
},
{
"lane": "mid",
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355,
710
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4.946,
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12.469,
15.139
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16.254,
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19.969,
21.989
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22.245,
22.895
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23.731,
26.703
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27.539,
37.895
],
[
38.731,
42.167
],
[
42.423,
45.465
],
[
45.952,
68.267
]
]
},
{
"lane": "upper_mid",
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710,
1400
],
"entry_s": 0.348,
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"active_fraction": 0.9098,
"segments": [
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0.348,
4.481
],
[
4.992,
8.29
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8.777,
12.26
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12.539,
16.068
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16.277,
19.598
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19.992,
21.687
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[
21.896,
23.313
],
[
23.591,
27.191
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[
27.516,
69.335
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.697,
"exit_s": 69.033,
"active_fraction": 0.9247,
"segments": [
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0.697,
4.76
],
[
4.969,
10.82
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[
11.029,
11.796
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[
12.492,
15.604
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[
15.906,
69.033
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.789,
"exit_s": 68.592,
"active_fraction": 0.8806,
"segments": [
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0.789,
3.924
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[
4.992,
7.686
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[
7.848,
10.774
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[
12.516,
14.536
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[
15.859,
27.283
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[
27.516,
42.376
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[
42.446,
68.592
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]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.998,
"exit_s": 67.942,
"active_fraction": 0.8409,
"segments": [
[
0.998,
2.926
],
[
5.016,
6.711
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[
7.848,
8.568
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[
8.777,
10.426
],
[
12.516,
14.095
],
[
15.348,
16.068
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[
16.277,
19.83
],
[
20.016,
27.005
],
[
27.539,
41.935
],
[
42.539,
67.942
]
]
}
],
"interlap_matrix": {
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"sub|bass": 0.4701,
"sub|low_mid": 0.3483,
"sub|mid": 0.363,
"sub|upper_mid": 0.3953,
"sub|presence": 0.4019,
"sub|brilliance": 0.3998,
"sub|air": 0.4068,
"low_bass|bass": 0.6054,
"low_bass|low_mid": 0.478,
"low_bass|mid": 0.4833,
"low_bass|upper_mid": 0.4974,
"low_bass|presence": 0.5017,
"low_bass|brilliance": 0.5068,
"low_bass|air": 0.5168,
"bass|low_mid": 0.8138,
"bass|mid": 0.7792,
"bass|upper_mid": 0.7558,
"bass|presence": 0.767,
"bass|brilliance": 0.7893,
"bass|air": 0.7816,
"low_mid|mid": 0.8121,
"low_mid|upper_mid": 0.7125,
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0.0787,
0.048,
0.0421
],
"peak_position_normalised": 0.6854
}
},
"complexity_law": {
"available": true,
"bar_length_s": 2.5078,
"bars": 29,
"index_per_bar": [
0.7415,
0.689,
0.8398,
0.8634,
0.673,
0.879,
0.8709,
0.7509,
0.8448,
0.8503,
0.7734,
0.8708,
0.9131,
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0.8584,
0.8615,
0.7812,
0.9503,
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0.9745,
0.9718,
0.9727,
0.9703,
0.9942,
0.9958,
1.0,
0.9652,
0.586,
0.0371
],
"definition": "lane count + 4*harmonic change rate + 0.6*onset strength + 0.4*register span, per bar, normalised to the track's own maximum (section 11.6)",
"step_map": [
{
"bar": 2,
"at_s": 5.02,
"delta": 0.151,
"at_section_boundary": false
},
{
"bar": 4,
"at_s": 10.03,
"delta": -0.19,
"at_section_boundary": true
},
{
"bar": 5,
"at_s": 12.54,
"delta": 0.206,
"at_section_boundary": false
},
{
"bar": 17,
"at_s": 42.63,
"delta": 0.169,
"at_section_boundary": false
},
{
"bar": 27,
"at_s": 67.71,
"delta": -0.379,
"at_section_boundary": true
},
{
"bar": 28,
"at_s": 70.22,
"delta": -0.549,
"at_section_boundary": false
}
],
"steps_at_section_boundaries": 2,
"steps_total": 6,
"boundary_step_share": 0.333,
"hypothesis_note": "Section 11.6 expects masterpieces to step complexity AT structural boundaries and hold it flat inside sections. This share is the measurement of that claim on this track; the corpus decides, not us."
},
"texture_and_density": {
"note_rate_per_s": 1.327,
"melodic_salience": 0.6973,
"voiced_fraction": 0.2413,
"note_count": 97,
"mean_lanes": 6.576,
"max_lanes": 9
},
"dynamics": {
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5.94,
6.69,
7.43,
8.17,
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10.4,
11.15,
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12.63,
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16.35,
17.09,
17.83,
18.58,
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20.81,
21.55,
22.29,
23.03,
23.78,
24.52,
25.26,
26.01,
26.75,
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28.24,
28.98,
29.72,
30.46,
31.21,
31.95,
32.69,
33.44,
34.18,
34.92,
35.67,
36.41,
37.15,
37.89,
38.64,
39.38,
40.12,
40.87,
41.61,
42.35,
43.1,
43.84,
44.58,
45.33,
46.07,
46.81,
47.55,
48.3,
49.04,
49.78,
50.53,
51.27,
52.01,
52.76,
53.5,
54.24,
54.98,
55.73,
56.47,
57.21,
57.96,
58.7,
59.44,
60.19,
60.93,
61.67,
62.42,
63.16,
63.9,
64.64,
65.39,
66.13,
66.87,
67.62,
68.36,
69.1,
69.85,
70.59,
71.33,
72.07,
72.82
]
},
"register": {
"melody_span_semitones": 55.0,
"melody_tessitura_midi": 46.0,
"bass_floor_band": {
"sub": 0.00552,
"low_bass": 0.11946,
"bass": 0.17759,
"low_mid": 0.15328,
"mid": 0.27106,
"upper_mid": 0.14453,
"presence": 0.07985,
"brilliance": 0.03807,
"air": 0.01029,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00552,
"low_bass": 0.11946,
"bass": 0.17759,
"low_mid": 0.15328,
"mid": 0.27106,
"upper_mid": 0.14453,
"presence": 0.07985,
"brilliance": 0.03807,
"air": 0.01029,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.05289,
"seam_ratio": 18.909,
"seam_clean": false,
"tail_rms_over_mid": 0.0005,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.8462,
"head_rms_trend": 0.9149,
"baked_fade_out": true,
"baked_fade_in": true
},
"ending": "baked_fade_out",
"cadence_census_note": "A cadence census needs harmonic transcription and is a rung-2 dimension; the seam measurement is what rung 1 can honestly report about how it ends."
},
"timbre": {
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"spectral_centroid_curve_hz": [
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1577.1,
1828.7,
2764.1,
1604.7,
1794.6,
3390.7,
1915.8,
1698.7,
1794.4,
1826.8,
2596.6,
2559.6,
1861.7,
1568.0,
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1803.0,
1941.0,
2129.2,
2442.2,
2814.2,
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1857.7,
1900.4,
3016.6,
3322.2,
2557.3,
2236.8,
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2574.2,
1833.5,
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3442.0,
1932.4,
1345.7,
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2000.6,
3092.3,
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1724.1,
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],
"spectral_rolloff85_hz_mean": 4791.6,
"spectral_flatness_mean": 0.02632,
"signature_colour": "warm"
}
}
}