music/exemplars/formula_cards/UNMATCHED__174_PR_Video_BGM__Thrilling_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__174_PR_Video_BGM__Thrilling_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\\174 PR Video BGM _Thrilling 3_.m4a",
"sha256": "cfa97f66d115a5f0f43e7465eded6feb88c67542ccf8d06f8cbd74d5d6ac03b8",
"bytes": 1005310,
"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": "2026-08-07T04:02:52+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": 14.675,
"section_boundaries_s": [
0.0,
0.743,
10.472,
14.675
],
"section_count": 3,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.7731,
"is_repeat": false
},
{
"section": 2,
"most_like_section": 0,
"similarity": 0.8449,
"is_repeat": false
}
],
"novelty_peak_strength": [
0.477,
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 143.55,
"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
],
"curve_bpm": [
198.77,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
107.67,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
215.33,
143.55,
143.55,
143.55,
143.55
],
"adjustment_events": [
{
"position_s": 0.42,
"duration_s": 2.39,
"delta_bpm": 46.93,
"shape": "step"
},
{
"position_s": 3.04,
"duration_s": 5.53,
"delta_bpm": -32.75,
"shape": "step"
},
{
"position_s": 8.8,
"duration_s": 5.04,
"delta_bpm": 54.98,
"shape": "step"
}
],
"dispersion_bpm": 51.29,
"rubato_depth_bpm": 107.666
},
"global_bpm": 107.67,
"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": 107.67,
"tempo_bpm_median_local": 107.67,
"tempo_iqr_bpm": 35.89,
"tempo_stability": 0.0,
"beat_interval_cv": 0.0504
},
"dominant_onset_period_s": 0.2786,
"dominant_onset_period_bpm": 215.33,
"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": 0.773,
"onset_rate_per_s": 10.75
}
},
"tonality": {
"key": "C",
"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": 0.685,
"onset_bars": 0.41,
"pitch_contour": "DUUDU---UDUUDUU",
"interval_vocabulary_semitones": [
0,
1,
2,
3,
4,
5,
8,
11
],
"intervals": [
-3.0,
4.33,
0.67,
-8.0,
3.0,
0.0,
0.0,
0.0,
5.0,
-5.0,
2.0,
2.0,
-10.67,
2.0,
4.67
],
"range_semitones": 11.67,
"distinctive_deviation": {
"largest_interval_semitones": -10.67,
"at_note_index": 13,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.8737,
"self_similarity_baseline": 0.8335,
"self_similarity_lift": 0.0401,
"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,
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"active_fraction": 0.6714,
"segments": [
[
0.511,
6.362
],
[
6.525,
10.495
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.511,
"exit_s": 10.519,
"active_fraction": 0.6825,
"segments": [
[
0.511,
10.519
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.511,
"exit_s": 10.565,
"active_fraction": 0.6856,
"segments": [
[
0.511,
10.565
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.511,
"exit_s": 10.519,
"active_fraction": 0.6825,
"segments": [
[
0.511,
10.519
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.511,
"exit_s": 10.96,
"active_fraction": 0.7125,
"segments": [
[
0.511,
10.96
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.511,
"exit_s": 10.797,
"active_fraction": 0.7014,
"segments": [
[
0.511,
10.797
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.511,
"exit_s": 11.378,
"active_fraction": 0.7409,
"segments": [
[
0.511,
11.378
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.511,
"exit_s": 11.262,
"active_fraction": 0.733,
"segments": [
[
0.511,
11.262
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.511,
"exit_s": 11.262,
"active_fraction": 0.733,
"segments": [
[
0.511,
11.262
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9838,
"sub|bass": 0.9793,
"sub|low_mid": 0.9838,
"sub|mid": 0.9424,
"sub|upper_mid": 0.9572,
"sub|presence": 0.9062,
"sub|brilliance": 0.9159,
"sub|air": 0.9159,
"low_bass|bass": 0.9954,
"low_bass|low_mid": 1.0,
"low_bass|mid": 0.9579,
"low_bass|upper_mid": 0.973,
"low_bass|presence": 0.9211,
"low_bass|brilliance": 0.931,
"low_bass|air": 0.931,
"bass|low_mid": 0.9954,
"bass|mid": 0.9623,
"bass|upper_mid": 0.9775,
"bass|presence": 0.9254,
"bass|brilliance": 0.9353,
"bass|air": 0.9353,
"low_mid|mid": 0.9579,
"low_mid|upper_mid": 0.973,
"low_mid|presence": 0.9211,
"low_mid|brilliance": 0.931,
"low_mid|air": 0.931,
"mid|upper_mid": 0.9845,
"mid|presence": 0.9616,
"mid|brilliance": 0.972,
"mid|air": 0.972,
"upper_mid|presence": 0.9467,
"upper_mid|brilliance": 0.9569,
"upper_mid|air": 0.9569,
"presence|brilliance": 0.9893,
"presence|air": 0.9893,
"brilliance|air": 1.0
},
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1.115,
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5.573,
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6.13,
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6.873,
7.059,
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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
],
"lanes": [
0,
0,
0,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
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5,
5,
4,
3,
1,
0,
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],
"max": 9,
"mean": 6.343
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.693,
"at_s": 10.17,
"db_delta": -2.2,
"lanes_removed": 1.53,
"bars_held_s": 3.924,
"re_enters_at_s": 14.095
},
{
"position": 0.7753,
"at_s": 11.378,
"db_delta": -20.73,
"lanes_removed": 2.98,
"bars_held_s": 2.717,
"re_enters_at_s": 14.095
},
{
"position": 0.8576,
"at_s": 12.585,
"db_delta": -7.39,
"lanes_removed": -0.0,
"bars_held_s": 1.509,
"re_enters_at_s": 14.095
},
{
"position": 0.9399,
"at_s": 13.793,
"db_delta": -48.53,
"lanes_removed": -0.0,
"bars_held_s": 0.302,
"re_enters_at_s": 14.095
}
],
"raises": [
{
"position": 0.0411,
"start_s": 0.604,
"end_s": 10.194,
"db_delta": 136.75,
"lanes_added": 7.46,
"slope_db_per_s": 14.26
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.7911,
"at_s": 11.61,
"duration_s": 3.065
}
],
"tuttis": [
{
"position": 0.0443,
"at_s": 0.65,
"duration_s": 9.752,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.2433,
"seconds": 3.57,
"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": 1
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": 0.685,
"time_to_hook_bars": 0.41,
"time_to_full_texture_s": 0.511,
"time_to_full_texture_bars": 0.31,
"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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0.7435,
0.7491,
0.7428,
0.7474,
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0.7385,
0.748,
0.8217,
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0.787,
0.7791,
0.6874,
0.3639,
0.1505,
0.1307,
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],
"peak_position_normalised": 0.5174
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.6719,
"bars": 8,
"index_per_bar": [
0.8094,
0.9993,
0.9981,
0.9918,
0.9985,
1.0,
0.6562,
0.0339
],
"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": 1.67,
"delta": 0.19,
"at_section_boundary": true
},
{
"bar": 6,
"at_s": 10.03,
"delta": -0.344,
"at_section_boundary": true
},
{
"bar": 7,
"at_s": 11.7,
"delta": -0.622,
"at_section_boundary": true
}
],
"steps_at_section_boundaries": 3,
"steps_total": 3,
"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": 1.772,
"melodic_salience": 0.826,
"voiced_fraction": 0.4395,
"note_count": 26,
"mean_lanes": 6.343,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 76.37,
"peak_position_normalised": 0.5095,
"peak_at_s": 7.477,
"arc_curve_db": [
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-69.4,
-8.91,
-9.11,
-9.57,
-9.18,
-9.14,
-9.93,
-10.41,
-9.27,
-7.76,
-8.42,
-8.54,
-8.08,
-13.3,
-29.59,
-49.32,
-62.68,
-76.44,
-113.21
],
"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": {
"melody_span_semitones": 11.67,
"melody_tessitura_midi": 43.0,
"bass_floor_band": {
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"low_bass": 0.20396,
"bass": 0.38964,
"low_mid": 0.02566,
"mid": 0.02928,
"upper_mid": 0.04777,
"presence": 0.10946,
"brilliance": 0.05151,
"air": 0.01275,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.12851,
"low_bass": 0.20396,
"bass": 0.38964,
"low_mid": 0.02566,
"mid": 0.02928,
"upper_mid": 0.04777,
"presence": 0.10946,
"brilliance": 0.05151,
"air": 0.01275,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.04333,
"seam_ratio": 23.081,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.9165,
"head_rms_trend": 0.8303,
"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": 2623.0,
"spectral_centroid_curve_hz": [
0.0,
2558.7,
2292.7,
2246.1,
2518.2,
2398.4,
2285.9,
2890.0,
2660.0,
2617.6,
3216.1,
2574.7,
2682.8,
2813.9,
2812.3,
3472.6,
3392.5,
3176.4,
3511.7,
4861.4
],
"spectral_rolloff85_hz_mean": 5654.1,
"spectral_flatness_mean": 0.0877,
"signature_colour": "bright"
}
}
}