music/exemplars/formula_cards/UNMATCHED__48_Obtained_a_TM_.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__48_Obtained_a_TM_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon Black & Pokémon White_ Super Mus\\48 Obtained a TM!.m4a",
"sha256": "5551f81d4e78fab8d97c7869bbf05fad919b60cc650474be85966c5d9a3972aa",
"bytes": 698946,
"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": "2026-08-07T02:20:11+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": 5.387,
"section_boundaries_s": [
0.0,
0.511,
5.387
],
"section_count": 2,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.8394,
"is_repeat": false
}
],
"novelty_peak_strength": [
1.0
],
"method": "checkerboard-kernel novelty over a chroma+MFCC self-similarity matrix"
},
"tempo_and_time_grammar": {
"tempo_function": {
"baseline_bpm": 66.26,
"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
],
"curve_bpm": [
66.26,
66.26,
66.26,
66.26,
66.26,
66.26,
66.26,
66.26,
258.4,
136.0,
136.0,
136.0,
136.0,
136.0,
136.0
],
"adjustment_events": [
{
"position_s": 1.9,
"duration_s": 3.46,
"delta_bpm": 53.97,
"shape": "step"
}
],
"dispersion_bpm": 52.894,
"rubato_depth_bpm": 69.743
},
"global_bpm": 136.0,
"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": 136.0,
"tempo_bpm_median_local": 136.0,
"tempo_iqr_bpm": 6.8,
"tempo_stability": 0.8,
"beat_interval_cv": 0.0256
},
"dominant_onset_period_s": 0.9056,
"dominant_onset_period_bpm": 66.26,
"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": 0.823,
"onset_rate_per_s": 10.767
}
},
"tonality": {
"key": "D",
"mode": "major",
"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": 0.639,
"onset_bars": 0.18,
"pitch_contour": "UD-D",
"interval_vocabulary_semitones": [
0,
3,
12,
14
],
"intervals": [
12.0,
-14.0,
0.0,
-3.0
],
"range_semitones": 17.0,
"distinctive_deviation": {
"largest_interval_semitones": -14.0,
"at_note_index": 2,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.8675,
"self_similarity_baseline": 0.7681,
"self_similarity_lift": 0.0994,
"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": 0.488,
"exit_s": 3.274,
"active_fraction": 0.5,
"segments": [
[
0.488,
1.231
],
[
1.37,
3.274
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.488,
"exit_s": 3.297,
"active_fraction": 0.4957,
"segments": [
[
0.488,
1.207
],
[
1.393,
3.297
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.488,
"exit_s": 3.437,
"active_fraction": 0.5259,
"segments": [
[
0.488,
1.231
],
[
1.393,
3.437
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.488,
"exit_s": 3.367,
"active_fraction": 0.5388,
"segments": [
[
0.488,
3.367
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.488,
"exit_s": 3.367,
"active_fraction": 0.5388,
"segments": [
[
0.488,
3.367
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.511,
"exit_s": 3.506,
"active_fraction": 0.5603,
"segments": [
[
0.511,
3.506
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.511,
"exit_s": 3.553,
"active_fraction": 0.569,
"segments": [
[
0.511,
3.553
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.488,
"exit_s": 3.483,
"active_fraction": 0.5603,
"segments": [
[
0.488,
3.483
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.488,
"exit_s": 3.413,
"active_fraction": 0.5474,
"segments": [
[
0.488,
3.413
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.9744,
"sub|bass": 0.935,
"sub|low_mid": 0.928,
"sub|mid": 0.928,
"sub|upper_mid": 0.8779,
"sub|presence": 0.8647,
"sub|brilliance": 0.8923,
"sub|air": 0.9134,
"low_bass|bass": 0.9426,
"low_bass|low_mid": 0.92,
"low_bass|mid": 0.92,
"low_bass|upper_mid": 0.8702,
"low_bass|presence": 0.8571,
"low_bass|brilliance": 0.8846,
"low_bass|air": 0.9055,
"bass|low_mid": 0.9297,
"bass|mid": 0.9297,
"bass|upper_mid": 0.9237,
"bass|presence": 0.9098,
"bass|brilliance": 0.9385,
"bass|air": 0.9453,
"low_mid|mid": 1.0,
"low_mid|upper_mid": 0.9466,
"low_mid|presence": 0.9323,
"low_mid|brilliance": 0.9615,
"low_mid|air": 0.9843,
"mid|upper_mid": 0.9466,
"mid|presence": 0.9323,
"mid|brilliance": 0.9615,
"mid|air": 0.9843,
"upper_mid|presence": 0.9848,
"upper_mid|brilliance": 0.9847,
"upper_mid|air": 0.9618,
"presence|brilliance": 0.9699,
"presence|air": 0.9474,
"brilliance|air": 0.9769
},
"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
],
"lanes": [
0,
0,
0,
9,
9,
9,
9,
6,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
7,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 4.836
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.5431,
"at_s": 2.926,
"db_delta": -4.33,
"lanes_removed": 1.66,
"bars_held_s": 1.858,
"re_enters_at_s": 4.783
},
{
"position": 0.7673,
"at_s": 4.133,
"db_delta": -27.7,
"lanes_removed": 0.24,
"bars_held_s": 0.65,
"re_enters_at_s": 4.783
}
],
"raises": [
{
"position": 0.1121,
"start_s": 0.604,
"end_s": 1.277,
"db_delta": 133.87,
"lanes_added": 7.17,
"slope_db_per_s": 198.803
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.7328,
"at_s": 3.947,
"duration_s": 1.416
}
],
"tuttis": [
{
"position": 0.2759,
"at_s": 1.486,
"duration_s": 1.718,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.3578,
"seconds": 1.927,
"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": 2,
"raises": 1,
"breaks": 2,
"tuttis": 1
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": 0.639,
"time_to_hook_bars": 0.18,
"time_to_full_texture_s": 0.511,
"time_to_full_texture_bars": 0.14,
"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
],
"values": [
0.0872,
0.733,
0.8034,
0.8582,
0.7379,
0.2136,
0.0713,
0.0001
],
"peak_position_normalised": 0.3377
}
},
"complexity_law": {
"available": false,
"reason": "track is under two bars at 66.3 bpm"
},
"texture_and_density": {
"note_rate_per_s": 0.928,
"melodic_salience": 0.6541,
"voiced_fraction": 0.2091,
"note_count": 5,
"mean_lanes": 4.836,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 193.37,
"peak_position_normalised": 0.4805,
"peak_at_s": 2.577,
"arc_curve_db": [
-62.68,
-66.37,
-8.5,
-8.48,
-12.77,
-35.14,
-90.0,
-85.89
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2
]
},
"register": {
"melody_span_semitones": 17.0,
"melody_tessitura_midi": 41.0,
"bass_floor_band": {
"sub": 0.00035,
"low_bass": 0.04456,
"bass": 0.16002,
"low_mid": 0.13135,
"mid": 0.10701,
"upper_mid": 0.35118,
"presence": 0.18639,
"brilliance": 0.01377,
"air": 0.00432,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00035,
"low_bass": 0.04456,
"bass": 0.16002,
"low_mid": 0.13135,
"mid": 0.10701,
"upper_mid": 0.35118,
"presence": 0.18639,
"brilliance": 0.01377,
"air": 0.00432,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.05361,
"seam_ratio": 18.654,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.7787,
"head_rms_trend": 0.8126,
"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": 1497.4,
"spectral_centroid_curve_hz": [
0.0,
2438.7,
1822.8,
2517.9,
2038.5,
1275.6,
943.9,
0.0
],
"spectral_rolloff85_hz_mean": 3050.8,
"spectral_flatness_mean": 0.17567,
"signature_colour": "warm"
}
}
}