music/exemplars/formula_cards/UNMATCHED__171_PR_Video_BGM__Mature_4_.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__171_PR_Video_BGM__Mature_4_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\171 PR Video BGM _Mature 4_.m4a",
"sha256": "398cfd9e2c4878341347363524aa6165905edf87bcf417bd603dad1d828ebc76",
"bytes": 1061220,
"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": "2026-08-07T04:02:35+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": 15.557,
"section_boundaries_s": [
0.0,
5.596,
14.814,
15.557
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.9495,
"is_repeat": true
},
{
"section": 2,
"most_like_section": 1,
"similarity": 0.6865,
"is_repeat": false
}
],
"novelty_peak_strength": [
0.8892,
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 123.05,
"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,
14.12,
14.49,
14.86,
15.23
],
"curve_bpm": [
152.0,
234.91,
234.91,
234.91,
234.91,
234.91,
234.91,
234.91,
234.91,
234.91,
234.91,
92.29,
92.29,
92.29,
92.29,
83.35,
83.35,
83.35,
123.05,
123.05,
123.05,
83.35,
83.35,
83.35,
83.35,
83.35,
83.35,
83.35,
107.67,
107.67,
107.67,
107.67,
107.67,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
152.0,
215.33
],
"adjustment_events": [
{
"position_s": 0.21,
"duration_s": 4.06,
"delta_bpm": 79.83,
"shape": "step"
},
{
"position_s": 4.44,
"duration_s": 7.27,
"delta_bpm": -26.62,
"shape": "step"
},
{
"position_s": 12.17,
"duration_s": 2.88,
"delta_bpm": 24.43,
"shape": "step"
}
],
"dispersion_bpm": 57.493,
"rubato_depth_bpm": 151.553
},
"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": 123.05,
"tempo_iqr_bpm": 21.53,
"tempo_stability": 0.3,
"beat_interval_cv": 0.0629
},
"dominant_onset_period_s": 0.0929,
"dominant_onset_period_bpm": 646.0,
"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": 0.579,
"onset_rate_per_s": 10.783
}
},
"tonality": {
"key": "E",
"mode": "major",
"windowed_key_agreement": 0.5,
"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": 0.778,
"onset_bars": 0.4,
"pitch_contour": "DUUD-DUU-UDU",
"interval_vocabulary_semitones": [
0,
1,
7,
9,
12,
21
],
"intervals": [
-1.33,
1.33,
12.0,
-12.0,
0.0,
-1.0,
1.0,
21.33,
0.0,
6.67,
-9.0,
9.0
],
"range_semitones": 29.33,
"distinctive_deviation": {
"largest_interval_semitones": 21.33,
"at_note_index": 8,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.9187,
"self_similarity_baseline": 0.7198,
"self_similarity_lift": 0.1989,
"recurrence_lag_s": 0.464,
"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",
"band_hz": [
20,
45
],
"entry_s": 1.95,
"exit_s": 8.197,
"active_fraction": 0.1624,
"segments": [
[
1.95,
2.763
],
[
6.989,
8.197
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 1.95,
"exit_s": 9.892,
"active_fraction": 0.5142,
"segments": [
[
1.95,
4.667
],
[
4.876,
5.387
],
[
5.666,
9.892
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 1.277,
"exit_s": 9.822,
"active_fraction": 0.5499,
"segments": [
[
1.277,
9.822
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 1.022,
"exit_s": 11.865,
"active_fraction": 0.6975,
"segments": [
[
1.022,
11.865
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.929,
"exit_s": 13.259,
"active_fraction": 0.7928,
"segments": [
[
0.929,
13.259
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.975,
"exit_s": 12.121,
"active_fraction": 0.7168,
"segments": [
[
0.975,
12.121
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.975,
"exit_s": 12.214,
"active_fraction": 0.7228,
"segments": [
[
0.975,
12.214
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 1.068,
"exit_s": 11.633,
"active_fraction": 0.6796,
"segments": [
[
1.068,
11.633
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 1.091,
"exit_s": 11.564,
"active_fraction": 0.6736,
"segments": [
[
1.091,
11.564
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.3159,
"sub|bass": 0.2954,
"sub|low_mid": 0.2329,
"sub|mid": 0.2049,
"sub|upper_mid": 0.2266,
"sub|presence": 0.2247,
"sub|brilliance": 0.239,
"sub|air": 0.2412,
"low_bass|bass": 0.9194,
"low_bass|low_mid": 0.7372,
"low_bass|mid": 0.6485,
"low_bass|upper_mid": 0.7173,
"low_bass|presence": 0.7113,
"low_bass|brilliance": 0.7566,
"low_bass|air": 0.7633,
"bass|low_mid": 0.7885,
"bass|mid": 0.6936,
"bass|upper_mid": 0.7672,
"bass|presence": 0.7608,
"bass|brilliance": 0.8092,
"bass|air": 0.8164,
"low_mid|mid": 0.8797,
"low_mid|upper_mid": 0.973,
"low_mid|presence": 0.9649,
"low_mid|brilliance": 0.9744,
"low_mid|air": 0.9658,
"mid|upper_mid": 0.9041,
"mid|presence": 0.9117,
"mid|brilliance": 0.8571,
"mid|air": 0.8496,
"upper_mid|presence": 0.9918,
"upper_mid|brilliance": 0.948,
"upper_mid|air": 0.9397,
"presence|brilliance": 0.9402,
"presence|air": 0.932,
"brilliance|air": 0.9912
},
"simultaneity_curve": {
"times_s": [
0.0,
0.186,
0.372,
0.557,
0.743,
0.929,
1.115,
1.3,
1.486,
1.672,
1.858,
2.043,
2.229,
2.415,
2.601,
2.786,
2.972,
3.158,
3.344,
3.529,
3.715,
3.901,
4.087,
4.272,
4.458,
4.644,
4.83,
5.016,
5.201,
5.387,
5.573,
5.759,
5.944,
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,
12.817,
13.003,
13.189,
13.375,
13.56,
13.746,
13.932,
14.118,
14.303,
14.489,
14.675,
14.861,
15.047,
15.232,
15.418
],
"lanes": [
0,
0,
0,
0,
0,
1,
6,
7,
8,
8,
7,
9,
9,
9,
9,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
7,
8,
8,
8,
9,
9,
8,
8,
9,
9,
9,
9,
9,
9,
9,
8,
8,
8,
8,
8,
8,
8,
8,
7,
6,
6,
6,
6,
6,
6,
6,
6,
6,
4,
3,
3,
1,
1,
1,
1,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 5.51
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.6269,
"at_s": 9.752,
"db_delta": -0.19,
"lanes_removed": 1.56,
"bars_held_s": 5.224,
"re_enters_at_s": 14.977
},
{
"position": 0.7343,
"at_s": 11.424,
"db_delta": -6.08,
"lanes_removed": 1.58,
"bars_held_s": 3.553,
"re_enters_at_s": 14.977
},
{
"position": 0.8269,
"at_s": 12.864,
"db_delta": -6.15,
"lanes_removed": 0.36,
"bars_held_s": 2.113,
"re_enters_at_s": 14.977
},
{
"position": 0.9045,
"at_s": 14.071,
"db_delta": -14.08,
"lanes_removed": -0.0,
"bars_held_s": 0.906,
"re_enters_at_s": 14.977
}
],
"raises": [
{
"position": 0.0388,
"start_s": 0.604,
"end_s": 12.748,
"db_delta": 114.31,
"lanes_added": 1.98,
"slope_db_per_s": 9.413
},
{
"position": 0.1164,
"start_s": 1.811,
"end_s": 2.345,
"db_delta": 7.34,
"lanes_added": 1.16,
"slope_db_per_s": 13.745
},
{
"position": 0.3716,
"start_s": 5.782,
"end_s": 8.22,
"db_delta": 6.0,
"lanes_added": 0.76,
"slope_db_per_s": 2.463
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.534
},
{
"position": 0.8746,
"at_s": 13.607,
"duration_s": 1.95
}
],
"tuttis": [
{
"position": 0.4493,
"at_s": 6.989,
"duration_s": 1.207,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.1624,
"seconds": 2.527,
"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": 3,
"breaks": 2,
"tuttis": 1
}
},
"opening_and_flow_law": {
"onset_type": "silence_then_hit",
"first_sound_at_s": 0.789,
"time_to_hook_s": 0.778,
"time_to_hook_bars": 0.4,
"time_to_full_texture_s": 1.95,
"time_to_full_texture_bars": 1.0,
"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,
14.86
],
"values": [
0.0028,
0.0995,
0.6011,
0.6802,
0.6098,
0.5243,
0.5139,
0.5033,
0.6658,
0.6579,
0.7516,
0.6915,
0.6077,
0.5658,
0.4806,
0.4218,
0.2695,
0.1334,
0.0834,
0.0939,
0.1867
],
"peak_position_normalised": 0.4493
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.9504,
"bars": 7,
"index_per_bar": [
0.5622,
0.9778,
0.9088,
1.0,
0.9664,
0.7547,
0.2538
],
"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": 1.95,
"delta": 0.416,
"at_section_boundary": true
},
{
"bar": 5,
"at_s": 9.75,
"delta": -0.212,
"at_section_boundary": false
},
{
"bar": 6,
"at_s": 11.7,
"delta": -0.501,
"at_section_boundary": false
}
],
"steps_at_section_boundaries": 1,
"steps_total": 3,
"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": 0.836,
"melodic_salience": 0.9428,
"voiced_fraction": 0.6562,
"note_count": 13,
"mean_lanes": 5.51,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 59.13,
"peak_position_normalised": 0.4552,
"peak_at_s": 7.082,
"arc_curve_db": [
-69.46,
-82.57,
-19.56,
-11.48,
-13.94,
-18.56,
-20.95,
-20.44,
-15.47,
-11.03,
-10.04,
-12.68,
-15.9,
-16.15,
-17.17,
-20.33,
-26.89,
-33.54,
-44.18,
-62.21,
-112.88
],
"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,
14.86
]
},
"register": {
"melody_span_semitones": 29.33,
"melody_tessitura_midi": 40.0,
"bass_floor_band": {
"sub": 0.0004,
"low_bass": 0.58181,
"bass": 0.03267,
"low_mid": 0.10489,
"mid": 0.13308,
"upper_mid": 0.04244,
"presence": 0.02662,
"brilliance": 0.06985,
"air": 0.00822,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.0004,
"low_bass": 0.58181,
"bass": 0.03267,
"low_mid": 0.10489,
"mid": 0.13308,
"upper_mid": 0.04244,
"presence": 0.02662,
"brilliance": 0.06985,
"air": 0.00822,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.05597,
"seam_ratio": 17.866,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.9132,
"head_rms_trend": 0.8564,
"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": 1882.2,
"spectral_centroid_curve_hz": [
0.0,
1074.0,
2539.6,
1859.8,
1587.4,
1664.2,
2190.0,
1747.5,
3330.0,
1324.9,
1994.1,
1975.1,
2394.9,
2072.9,
2155.4,
1859.1,
1840.6,
1368.9,
1394.5,
1762.9,
3601.2
],
"spectral_rolloff85_hz_mean": 4080.7,
"spectral_flatness_mean": 0.06515,
"signature_colour": "warm"
}
}
}