music/exemplars/formula_cards/UNMATCHED__166_PR_Video_BGM__Rhythmical_3_.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__166_PR_Video_BGM__Rhythmical_3_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\166 PR Video BGM _Rhythmical 3_.m4a",
"sha256": "b53c730f18da48ea9b74146507262f5cecf796925088b16fe1b68dcb4eff0903",
"bytes": 996674,
"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": "2026-08-07T04:01:55+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": 14.071,
"section_boundaries_s": [
0.0,
1.022,
10.844,
14.071
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.7466,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.9181,
"is_repeat": true
}
],
"novelty_peak_strength": [
1.0,
0.688
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 161.5,
"curve_times_s": [
0.0,
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
],
"curve_bpm": [
123.05,
54.98,
54.98,
54.98,
54.98,
54.98,
258.4,
258.4,
258.4,
258.4,
129.2,
129.2,
129.2,
129.2,
129.2,
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
123.05,
258.4,
161.5,
161.5,
161.5,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27,
172.27
],
"adjustment_events": [
{
"position_s": 0.0,
"duration_s": 2.14,
"delta_bpm": -85.0,
"shape": "ramp"
},
{
"position_s": 2.28,
"duration_s": 1.67,
"delta_bpm": 35.23,
"shape": "step"
},
{
"position_s": 4.16,
"duration_s": 3.9,
"delta_bpm": -29.55,
"shape": "step"
},
{
"position_s": 9.85,
"duration_s": 3.32,
"delta_bpm": 10.27,
"shape": "step"
}
],
"dispersion_bpm": 54.688,
"rubato_depth_bpm": 203.42
},
"global_bpm": 123.05,
"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": 123.05,
"tempo_bpm_median_local": 129.2,
"tempo_iqr_bpm": 38.45,
"tempo_stability": 0.0,
"beat_interval_cv": 0.0753
},
"dominant_onset_period_s": 0.4876,
"dominant_onset_period_bpm": 123.05,
"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": 0.664,
"onset_rate_per_s": 10.784
}
},
"tonality": {
"key": "A",
"mode": "minor",
"windowed_key_agreement": 1.0,
"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": 0.615,
"onset_bars": 0.41,
"pitch_contour": "UDDDUUDDDUUUDUU",
"interval_vocabulary_semitones": [
1,
2,
3,
4,
5,
7,
9,
12,
14,
26,
29,
30
],
"intervals": [
12.0,
-14.0,
-25.67,
-1.0,
28.67,
7.0,
-1.0,
-30.0,
-9.0,
2.0,
3.0,
4.0,
-5.0,
4.0,
1.0
],
"range_semitones": 45.0,
"distinctive_deviation": {
"largest_interval_semitones": -30.0,
"at_note_index": 8,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.8247,
"self_similarity_baseline": 0.7866,
"self_similarity_lift": 0.038,
"recurrence_lag_s": 2.833,
"interval_3gram_repetition": 0.0,
"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": [
"sub",
"low_bass",
"bass",
"low_mid",
"mid",
"upper_mid",
"presence",
"brilliance",
"air",
"ultra"
],
"entry_exit_map": [
{
"lane": "sub",
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20,
45
],
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"active_fraction": 0.4942,
"segments": [
[
4.11,
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]
]
},
{
"lane": "low_bass",
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45,
90
],
"entry_s": 2.067,
"exit_s": 11.053,
"active_fraction": 0.5519,
"segments": [
[
2.067,
2.763
],
[
4.017,
11.053
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 1.811,
"exit_s": 10.797,
"active_fraction": 0.542,
"segments": [
[
1.811,
2.577
],
[
3.994,
10.797
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 3.971,
"exit_s": 10.797,
"active_fraction": 0.542,
"segments": [
[
3.971,
10.797
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.511,
"exit_s": 10.913,
"active_fraction": 0.7199,
"segments": [
[
0.511,
2.09
],
[
2.392,
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]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.511,
"exit_s": 11.122,
"active_fraction": 0.7364,
"segments": [
[
0.511,
2.09
],
[
2.368,
11.122
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.511,
"exit_s": 11.006,
"active_fraction": 0.7282,
"segments": [
[
0.511,
2.09
],
[
2.368,
11.006
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.511,
"exit_s": 10.96,
"active_fraction": 0.7315,
"segments": [
[
0.511,
2.183
],
[
2.368,
10.96
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.511,
"exit_s": 10.96,
"active_fraction": 0.7232,
"segments": [
[
0.511,
3.669
],
[
3.971,
10.96
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.8955,
"sub|bass": 0.85,
"sub|low_mid": 0.85,
"sub|mid": 0.6637,
"sub|upper_mid": 0.6711,
"sub|presence": 0.6712,
"sub|brilliance": 0.6607,
"sub|air": 0.6682,
"low_bass|bass": 0.9135,
"low_bass|low_mid": 0.8242,
"low_bass|mid": 0.6967,
"low_bass|upper_mid": 0.7074,
"low_bass|presence": 0.7077,
"low_bass|brilliance": 0.7121,
"low_bass|air": 0.7472,
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"bass|mid": 0.706,
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"low_mid|mid": 0.7409,
"low_mid|upper_mid": 0.7244,
"low_mid|presence": 0.7326,
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"low_mid|air": 0.7494,
"mid|upper_mid": 0.9776,
"mid|presence": 0.9887,
"mid|brilliance": 0.9842,
"mid|air": 0.9424,
"upper_mid|presence": 0.9888,
"upper_mid|brilliance": 0.9756,
"upper_mid|air": 0.9345,
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},
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0.557,
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6.13,
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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,
12.817,
13.003,
13.189,
13.375,
13.56,
13.746,
13.932
],
"lanes": [
0,
0,
0,
5,
5,
5,
5,
5,
5,
5,
7,
7,
3,
7,
6,
6,
5,
5,
5,
6,
4,
4,
8,
9,
9,
9,
9,
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9,
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],
"max": 9,
"mean": 5.769
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.7343,
"at_s": 10.333,
"db_delta": -6.28,
"lanes_removed": 0.52,
"bars_held_s": 3.158,
"re_enters_at_s": 13.491
},
{
"position": 0.8201,
"at_s": 11.54,
"db_delta": -13.2,
"lanes_removed": 1.25,
"bars_held_s": 1.95,
"re_enters_at_s": 13.491
},
{
"position": 0.9059,
"at_s": 12.748,
"db_delta": -20.09,
"lanes_removed": -0.0,
"bars_held_s": 0.743,
"re_enters_at_s": 13.491
}
],
"raises": [
{
"position": 0.0429,
"start_s": 0.604,
"end_s": 0.929,
"db_delta": 129.5,
"lanes_added": 4.14,
"slope_db_per_s": 398.349
},
{
"position": 0.2657,
"start_s": 3.738,
"end_s": 10.217,
"db_delta": 2.32,
"lanes_added": 1.66,
"slope_db_per_s": 0.358
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.8465,
"at_s": 11.912,
"duration_s": 2.159
}
],
"tuttis": [
{
"position": 0.2937,
"at_s": 4.133,
"duration_s": 6.594,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1895,
"seconds": 2.666,
"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": 3,
"raises": 2,
"breaks": 2,
"tuttis": 1
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": 0.615,
"time_to_hook_bars": 0.41,
"time_to_full_texture_s": 4.11,
"time_to_full_texture_bars": 2.77,
"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
],
"values": [
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0.8175,
0.7541,
0.7849,
0.8053,
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0.7252,
0.2143,
0.0963,
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0.1324
],
"peak_position_normalised": 0.6716
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.4861,
"bars": 9,
"index_per_bar": [
0.4638,
0.7523,
0.8107,
0.9886,
0.9997,
1.0,
0.9967,
0.5734,
0.0204
],
"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": 1,
"at_s": 1.49,
"delta": 0.288,
"at_section_boundary": true
},
{
"bar": 3,
"at_s": 4.46,
"delta": 0.178,
"at_section_boundary": false
},
{
"bar": 7,
"at_s": 10.4,
"delta": -0.423,
"at_section_boundary": true
},
{
"bar": 8,
"at_s": 11.89,
"delta": -0.553,
"at_section_boundary": true
}
],
"steps_at_section_boundaries": 3,
"steps_total": 4,
"boundary_step_share": 0.75,
"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": 1.492,
"melodic_salience": 0.7125,
"voiced_fraction": 0.2465,
"note_count": 21,
"mean_lanes": 5.769,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 76.43,
"peak_position_normalised": 0.6601,
"peak_at_s": 9.288,
"arc_curve_db": [
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-69.33,
-15.88,
-17.72,
-15.61,
-13.48,
-10.14,
-8.47,
-8.35,
-8.32,
-9.07,
-8.79,
-8.45,
-8.92,
-14.41,
-29.75,
-47.47,
-66.28,
-118.96
],
"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
]
},
"register": {
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"melody_tessitura_midi": 44.0,
"bass_floor_band": {
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"low_bass": 0.10578,
"bass": 0.29712,
"low_mid": 0.08164,
"mid": 0.10024,
"upper_mid": 0.1621,
"presence": 0.20586,
"brilliance": 0.0331,
"air": 0.00682,
"ultra": 0.0
},
"octave_band_profile": {
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"low_bass": 0.10578,
"bass": 0.29712,
"low_mid": 0.08164,
"mid": 0.10024,
"upper_mid": 0.1621,
"presence": 0.20586,
"brilliance": 0.0331,
"air": 0.00682,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.0458,
"seam_ratio": 21.834,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.7862,
"head_rms_trend": 0.7782,
"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": 1987.2,
"spectral_centroid_curve_hz": [
0.0,
2097.9,
2543.2,
1984.7,
2119.8,
1687.5,
2315.3,
2262.0,
1535.7,
2221.3,
1482.1,
1858.3,
2111.4,
1786.9,
2618.9,
2037.2,
1423.7,
1417.5,
2167.0
],
"spectral_rolloff85_hz_mean": 3892.3,
"spectral_flatness_mean": 0.08439,
"signature_colour": "warm"
}
}
}