music/exemplars/formula_cards/UNMATCHED__164_PR_Video_BGM__Rhythmical_1_.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__164_PR_Video_BGM__Rhythmical_1_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\164 PR Video BGM _Rhythmical 1_.m4a",
"sha256": "0fd7823486f95dcc7e16c60054005316a851d1823089d35b40c8961e6bb7712a",
"bytes": 1006530,
"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": "2026-08-07T04:01:41+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."
},
"card": {
"duration_and_structure": {
"total_length_s": 14.35,
"section_boundaries_s": [
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],
"section_count": 3,
"repeat_map": [
{
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"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.9893,
"is_repeat": true
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.9575,
"is_repeat": true
}
],
"novelty_peak_strength": [
0.5534,
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 80.75,
"curve_times_s": [
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0.37,
0.74,
1.11,
1.49,
1.86,
2.23,
2.6,
2.97,
3.34,
3.72,
4.09,
4.46,
4.83,
5.2,
5.57,
5.94,
6.32,
6.69,
7.06,
7.43,
7.8,
8.17,
8.54,
8.92,
9.29,
9.66,
10.03,
10.4,
10.77,
11.15,
11.52,
11.89,
12.26,
12.63,
13.0,
13.37,
13.75,
14.12
],
"curve_bpm": [
78.3,
78.3,
78.3,
78.3,
78.3,
78.3,
78.3,
78.3,
39.75,
80.75,
80.75,
80.75,
80.75,
80.75,
80.75,
80.75,
80.75,
80.75,
52.73,
52.73,
52.73,
52.73,
52.73,
52.73,
52.73,
52.73,
161.5,
161.5,
161.5,
161.5,
161.5,
161.5,
161.5,
161.5,
161.5,
161.5,
161.5,
234.91,
234.91
],
"adjustment_events": [
{
"position_s": 5.8,
"duration_s": 3.07,
"delta_bpm": -19.04,
"shape": "step"
},
{
"position_s": 9.01,
"duration_s": 5.34,
"delta_bpm": 70.82,
"shape": "step"
}
],
"dispersion_bpm": 52.258,
"rubato_depth_bpm": 108.765
},
"global_bpm": 161.5,
"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": {
"tempo_bpm_global": 161.5,
"tempo_bpm_median_local": 161.5,
"tempo_iqr_bpm": 80.75,
"tempo_stability": 0.0,
"beat_interval_cv": 0.0263
},
"dominant_onset_period_s": 1.5093,
"dominant_onset_period_bpm": 39.75,
"metre": {
"assumed": "4/4",
"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."
},
"groove": {
"swing_ratio": 0.638,
"onset_rate_per_s": 10.784
}
},
"tonality": {
"key": "F",
"mode": "minor",
"windowed_key_agreement": 0.75,
"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": {
"available": true,
"onset_s": 1.567,
"onset_bars": 0.53,
"pitch_contour": "----",
"interval_vocabulary_semitones": [
0
],
"intervals": [
0.0,
0.0,
0.33,
-0.33
],
"range_semitones": 0.33,
"distinctive_deviation": {
"largest_interval_semitones": 0.33,
"at_note_index": 3,
"is_licensed_leap": false
}
},
"motif_economy": {
"self_similarity_peak": 0.9667,
"self_similarity_baseline": 0.9563,
"self_similarity_lift": 0.0104,
"recurrence_lag_s": 3.019,
"interval_3gram_repetition": 0.5,
"interval_4gram_repetition": 0.0
},
"lane_analysis": {
"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.",
"lane_roster_bands": [
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"low_bass",
"bass",
"low_mid",
"mid",
"upper_mid",
"presence",
"brilliance",
"air",
"ultra"
],
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{
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20,
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],
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"active_fraction": 0.6074,
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[
0.488,
1.022
],
[
1.254,
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],
[
2.763,
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],
[
5.016,
7.012
],
[
7.268,
8.916
],
[
9.149,
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]
]
},
{
"lane": "low_bass",
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45,
90
],
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[
1.254,
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],
[
2.763,
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],
[
5.016,
5.782
],
[
5.851,
6.92
],
[
7.268,
8.8
],
[
9.149,
9.961
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.488,
"exit_s": 10.728,
"active_fraction": 0.7011,
"segments": [
[
0.488,
1.788
],
[
1.997,
10.728
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.488,
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"active_fraction": 0.6462,
"segments": [
[
0.488,
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],
[
1.997,
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],
[
3.506,
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],
[
8.963,
10.542
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
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"active_fraction": 0.6527,
"segments": [
[
0.488,
1.695
],
[
1.997,
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],
[
3.506,
8.777
],
[
8.963,
10.565
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.488,
"exit_s": 10.728,
"active_fraction": 0.7092,
"segments": [
[
0.488,
8.8
],
[
8.893,
10.728
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.488,
"exit_s": 11.61,
"active_fraction": 0.7754,
"segments": [
[
0.488,
11.61
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.488,
"exit_s": 11.68,
"active_fraction": 0.7803,
"segments": [
[
0.488,
11.68
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.488,
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"active_fraction": 0.7334,
"segments": [
[
0.488,
11.006
]
]
}
],
"interlap_matrix": {
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"sub|mid": 0.7607,
"sub|upper_mid": 0.8356,
"sub|presence": 0.7833,
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"sub|air": 0.8282,
"low_bass|bass": 0.7678,
"low_bass|low_mid": 0.7458,
"low_bass|mid": 0.7553,
"low_bass|upper_mid": 0.7631,
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"mid|upper_mid": 0.9203,
"mid|presence": 0.8417,
"mid|brilliance": 0.8364,
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4.087,
4.272,
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5.387,
5.573,
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6.13,
6.316,
6.502,
6.687,
6.873,
7.059,
7.245,
7.43,
7.616,
7.802,
7.988,
8.173,
8.359,
8.545,
8.731,
8.916,
9.102,
9.288,
9.474,
9.66,
9.845,
10.031,
10.217,
10.403,
10.588,
10.774,
10.96,
11.146,
11.331,
11.517,
11.703,
11.889,
12.074,
12.26,
12.446,
12.632,
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13.003,
13.189,
13.375,
13.56,
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13.932,
14.118,
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],
"lanes": [
0,
0,
0,
9,
9,
9,
7,
9,
9,
9,
5,
9,
9,
9,
7,
9,
9,
9,
7,
9,
9,
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7,
9,
9,
9,
7,
9,
9,
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9,
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9,
9,
9,
9,
9,
9,
7,
7,
9,
9,
9,
9,
9,
9,
9,
9,
6,
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8,
7,
9,
7,
4,
3,
2,
2,
2,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 6.147
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.5922,
"at_s": 8.499,
"db_delta": -6.05,
"lanes_removed": 1.4,
"bars_held_s": 0.163,
"re_enters_at_s": 8.661
},
{
"position": 0.7201,
"at_s": 10.333,
"db_delta": -6.08,
"lanes_removed": 1.67,
"bars_held_s": 3.437,
"re_enters_at_s": 13.769
},
{
"position": 0.8042,
"at_s": 11.54,
"db_delta": -8.4,
"lanes_removed": 1.72,
"bars_held_s": 2.229,
"re_enters_at_s": 13.769
},
{
"position": 0.8883,
"at_s": 12.748,
"db_delta": -9.95,
"lanes_removed": -0.0,
"bars_held_s": 1.022,
"re_enters_at_s": 13.769
}
],
"raises": [
{
"position": 0.0421,
"start_s": 0.604,
"end_s": 1.277,
"db_delta": 128.4,
"lanes_added": 6.62,
"slope_db_per_s": 190.685
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.8398,
"at_s": 12.051,
"duration_s": 2.299
}
],
"tuttis": [
{
"position": 0.3544,
"at_s": 5.085,
"duration_s": 1.811,
"lanes": 9
},
{
"position": 0.5113,
"at_s": 7.338,
"duration_s": 1.324,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1955,
"seconds": 2.805,
"threshold": "40 dB below the track's own p95 RMS",
"note": "Section 11.2 treats rest as a FIRST-CLASS parameter, not an absence."
},
"counts": {
"drops": 4,
"raises": 1,
"breaks": 2,
"tuttis": 2
}
},
"opening_and_flow_law": {
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"time_to_hook_s": 1.567,
"time_to_hook_bars": 0.53,
"time_to_full_texture_s": 0.488,
"time_to_full_texture_bars": 0.16,
"flow_curve": {
"definition": "energy = 0.45*density + 0.35*lane-simultaneity + 0.20*register, each normalised to the track's own maximum (section 11.4)",
"times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2,
5.94,
6.69,
7.43,
8.17,
8.92,
9.66,
10.4,
11.15,
11.89,
12.63,
13.37,
14.12
],
"values": [
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0.5716,
0.6256,
0.622,
0.63,
0.6261,
0.6462,
0.6909,
0.6841,
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0.581,
0.6777,
0.645,
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0.0971,
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0.0001
],
"peak_position_normalised": 0.4417
}
},
"complexity_law": {
"available": true,
"bar_length_s": 2.9721,
"bars": 4,
"index_per_bar": [
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0.9875,
1.0,
0.7771
],
"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": 3,
"at_s": 8.92,
"delta": -0.223,
"at_section_boundary": true
}
],
"steps_at_section_boundaries": 1,
"steps_total": 1,
"boundary_step_share": 1.0,
"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": {
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"melodic_salience": 0.0,
"voiced_fraction": 0.0348,
"note_count": 5,
"mean_lanes": 6.147,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 61.69,
"peak_position_normalised": 0.3835,
"peak_at_s": 5.503,
"arc_curve_db": [
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-75.09,
-20.47,
-20.33,
-19.6,
-19.36,
-17.24,
-16.64,
-16.33,
-16.84,
-17.58,
-19.47,
-18.63,
-17.37,
-24.3,
-36.61,
-48.77,
-59.83,
-93.52,
-92.0
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2,
5.94,
6.69,
7.43,
8.17,
8.92,
9.66,
10.4,
11.15,
11.89,
12.63,
13.37,
14.12
]
},
"register": {
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"melody_tessitura_midi": 43.33,
"bass_floor_band": {
"sub": 0.0154,
"low_bass": 0.06167,
"bass": 0.53602,
"low_mid": 0.22815,
"mid": 0.0417,
"upper_mid": 0.04052,
"presence": 0.02354,
"brilliance": 0.02634,
"air": 0.02656,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.0154,
"low_bass": 0.06167,
"bass": 0.53602,
"low_mid": 0.22815,
"mid": 0.0417,
"upper_mid": 0.04052,
"presence": 0.02354,
"brilliance": 0.02634,
"air": 0.02656,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.04117,
"seam_ratio": 24.288,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.9209,
"head_rms_trend": 0.6417,
"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": {
"spectral_centroid_hz_mean": 2944.5,
"spectral_centroid_curve_hz": [
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2624.9,
2632.9,
2254.9,
2486.5,
2190.9,
2279.0,
2888.2,
2525.5,
3275.9,
4447.6,
3501.8,
3710.4,
3661.9,
4405.5,
3729.7,
2957.8,
2466.1,
2326.1,
0.0
],
"spectral_rolloff85_hz_mean": 6119.5,
"spectral_flatness_mean": 0.12631,
"signature_colour": "bright"
}
}
}