music/exemplars/formula_cards/UNMATCHED__157_PR_Video_BGM__Classical_2_.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__157_PR_Video_BGM__Classical_2_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\157 PR Video BGM _Classical 2_.m4a",
"sha256": "bf135210b4c04d674ce4be8cdff4f50c067ae17e14da14a5c6f62c8436432bb8",
"bytes": 1034712,
"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": "2026-08-07T04:00:39+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": 15.929,
"section_boundaries_s": [
0.0,
3.831,
10.333,
15.929
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.8755,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.873,
"is_repeat": false
}
],
"novelty_peak_strength": [
1.0,
0.4834
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 54.98,
"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,
15.6
],
"curve_bpm": [
53.83,
53.83,
53.83,
53.83,
53.83,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
54.98,
198.77,
198.77,
198.77,
198.77,
198.77,
198.77,
184.57,
184.57,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33
],
"adjustment_events": [
{
"position_s": 8.1,
"duration_s": 7.83,
"delta_bpm": 127.05,
"shape": "step"
}
],
"dispersion_bpm": 76.051,
"rubato_depth_bpm": 160.354
},
"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": 5.59,
"tempo_stability": 0.8182,
"beat_interval_cv": 0.0278
},
"dominant_onset_period_s": 1.0913,
"dominant_onset_period_bpm": 54.98,
"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": 0.691,
"onset_rate_per_s": 10.782
}
},
"tonality": {
"key": "C#",
"mode": "major",
"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": 0.859,
"onset_bars": 0.2,
"pitch_contour": "DUDUD-UDUDU-UUD",
"interval_vocabulary_semitones": [
0,
1,
2,
5,
22,
26,
27,
29
],
"intervals": [
-5.0,
29.0,
-27.0,
22.0,
-26.0,
0.0,
2.0,
-2.0,
26.0,
-27.0,
1.0,
0.0,
2.0,
5.0,
-5.0
],
"range_semitones": 32.0,
"distinctive_deviation": {
"largest_interval_semitones": 29.0,
"at_note_index": 2,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.8466,
"self_similarity_baseline": 0.7243,
"self_similarity_lift": 0.1223,
"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": 0.511,
"exit_s": 11.285,
"active_fraction": 0.6856,
"segments": [
[
0.511,
6.78
],
[
6.943,
11.285
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.58,
"exit_s": 10.937,
"active_fraction": 0.5298,
"segments": [
[
0.58,
1.347
],
[
1.556,
2.113
],
[
3.437,
5.387
],
[
5.526,
9.242
],
[
10.008,
10.937
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.511,
"exit_s": 11.122,
"active_fraction": 0.6667,
"segments": [
[
0.511,
11.122
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.511,
"exit_s": 11.749,
"active_fraction": 0.706,
"segments": [
[
0.511,
11.749
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.557,
"exit_s": 11.564,
"active_fraction": 0.6914,
"segments": [
[
0.557,
11.564
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.557,
"exit_s": 11.656,
"active_fraction": 0.6972,
"segments": [
[
0.557,
11.656
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.534,
"exit_s": 11.54,
"active_fraction": 0.6914,
"segments": [
[
0.534,
11.54
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.511,
"exit_s": 12.074,
"active_fraction": 0.7263,
"segments": [
[
0.511,
12.074
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.511,
"exit_s": 11.68,
"active_fraction": 0.7016,
"segments": [
[
0.511,
11.68
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.7505,
"sub|bass": 0.9476,
"sub|low_mid": 0.9711,
"sub|mid": 0.9667,
"sub|upper_mid": 0.9751,
"sub|presence": 0.9667,
"sub|brilliance": 0.9439,
"sub|air": 0.9772,
"low_bass|bass": 0.7948,
"low_bass|low_mid": 0.7505,
"low_bass|mid": 0.7663,
"low_bass|upper_mid": 0.7599,
"low_bass|presence": 0.7663,
"low_bass|brilliance": 0.7295,
"low_bass|air": 0.7552,
"bass|low_mid": 0.9443,
"bass|mid": 0.956,
"bass|upper_mid": 0.948,
"bass|presence": 0.9601,
"bass|brilliance": 0.9178,
"bass|air": 0.9502,
"low_mid|mid": 0.9794,
"low_mid|upper_mid": 0.9876,
"low_mid|presence": 0.9794,
"low_mid|brilliance": 0.9719,
"low_mid|air": 0.9938,
"mid|upper_mid": 0.9916,
"mid|presence": 0.9958,
"mid|brilliance": 0.9519,
"mid|air": 0.9855,
"upper_mid|presence": 0.9875,
"upper_mid|brilliance": 0.9599,
"upper_mid|air": 0.9938,
"presence|brilliance": 0.9519,
"presence|air": 0.9855,
"brilliance|air": 0.9659
},
"simultaneity_curve": {
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2.043,
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3.158,
3.344,
3.529,
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3.901,
4.087,
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5.573,
5.759,
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6.13,
6.316,
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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,
14.118,
14.303,
14.489,
14.675,
14.861,
15.047,
15.232,
15.418,
15.604,
15.79
],
"lanes": [
0,
0,
0,
8,
9,
9,
9,
9,
8,
9,
9,
9,
8,
8,
8,
9,
9,
8,
8,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
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9,
9,
9,
9,
9,
8,
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9,
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9,
9,
8,
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8,
8,
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9,
9,
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9,
8,
7,
6,
7,
2,
1,
1,
0,
0,
0,
0,
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0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 6.096
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.6822,
"at_s": 10.867,
"db_delta": -6.3,
"lanes_removed": 1.51,
"bars_held_s": 4.481,
"re_enters_at_s": 15.348
},
{
"position": 0.758,
"at_s": 12.074,
"db_delta": -9.7,
"lanes_removed": 2.79,
"bars_held_s": 3.274,
"re_enters_at_s": 15.348
},
{
"position": 0.8338,
"at_s": 13.282,
"db_delta": -6.55,
"lanes_removed": -0.0,
"bars_held_s": 2.067,
"re_enters_at_s": 15.348
},
{
"position": 0.9096,
"at_s": 14.489,
"db_delta": -14.13,
"lanes_removed": -0.0,
"bars_held_s": 0.859,
"re_enters_at_s": 15.348
}
],
"raises": [
{
"position": 0.0379,
"start_s": 0.604,
"end_s": 0.929,
"db_delta": 132.06,
"lanes_added": 7.59,
"slope_db_per_s": 406.237
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.8134,
"at_s": 12.957,
"duration_s": 2.972
}
],
"tuttis": [
{
"position": 0.2157,
"at_s": 3.437,
"duration_s": 5.805,
"lanes": 9
},
{
"position": 0.6283,
"at_s": 10.008,
"duration_s": 0.929,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.2183,
"seconds": 3.478,
"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": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": 0.859,
"time_to_hook_bars": 0.2,
"time_to_full_texture_s": 0.58,
"time_to_full_texture_bars": 0.13,
"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,
15.6
],
"values": [
0.0573,
0.562,
0.5881,
0.6148,
0.6322,
0.6446,
0.6772,
0.6684,
0.6779,
0.6899,
0.6648,
0.7359,
0.6655,
0.6035,
0.6785,
0.4705,
0.1571,
0.0847,
0.0824,
0.0829,
0.0881,
0.0
],
"peak_position_normalised": 0.5131
}
},
"complexity_law": {
"available": true,
"bar_length_s": 4.3652,
"bars": 3,
"index_per_bar": [
0.9097,
1.0,
0.7475
],
"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": 8.73,
"delta": -0.253,
"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": {
"note_rate_per_s": 1.193,
"melodic_salience": 0.7976,
"voiced_fraction": 0.3758,
"note_count": 19,
"mean_lanes": 6.096,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 67.27,
"peak_position_normalised": 0.4971,
"peak_at_s": 7.918,
"arc_curve_db": [
-64.71,
-71.21,
-12.94,
-13.93,
-14.53,
-12.67,
-12.56,
-13.38,
-11.9,
-12.09,
-12.9,
-11.36,
-11.93,
-12.91,
-13.51,
-21.16,
-34.36,
-44.82,
-52.6,
-62.06,
-89.6,
-99.62
],
"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,
15.6
]
},
"register": {
"melody_span_semitones": 32.0,
"melody_tessitura_midi": 44.0,
"bass_floor_band": {
"sub": 2e-05,
"low_bass": 0.02334,
"bass": 0.22928,
"low_mid": 0.12019,
"mid": 0.36417,
"upper_mid": 0.1258,
"presence": 0.10371,
"brilliance": 0.02521,
"air": 0.00827,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 2e-05,
"low_bass": 0.02334,
"bass": 0.22928,
"low_mid": 0.12019,
"mid": 0.36417,
"upper_mid": 0.1258,
"presence": 0.10371,
"brilliance": 0.02521,
"air": 0.00827,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.04399,
"seam_ratio": 22.734,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.8455,
"head_rms_trend": 0.7187,
"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": 2063.8,
"spectral_centroid_curve_hz": [
0.0,
2375.0,
1650.3,
2333.9,
2090.9,
1657.1,
1984.7,
1971.6,
1781.1,
2132.9,
1686.4,
2803.8,
1626.1,
1805.4,
3261.3,
2097.7,
2018.1,
2011.2,
2093.7,
2153.1,
2310.7,
0.0
],
"spectral_rolloff85_hz_mean": 4047.5,
"spectral_flatness_mean": 0.07037,
"signature_colour": "warm"
}
}
}