music/exemplars/formula_cards/UNMATCHED__32_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__32_Obtained_a_TM_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon X & Pokémon Y_ Super Music Colle\\32 Obtained a TM!.m4a",
"sha256": "188361cf8aee428b4138e42910c80be0deb783682486bfaae4d43533cda7c929",
"bytes": 732664,
"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": "2026-08-07T04:23:23+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": 6.177,
"section_boundaries_s": [
0.0,
0.534,
6.177
],
"section_count": 2,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.8205,
"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": 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
],
"curve_bpm": [
234.91,
234.91,
234.91,
69.84,
69.84,
69.84,
69.84,
69.84,
69.84,
143.55,
143.55,
143.55,
143.55,
258.4,
215.33,
215.33,
215.33
],
"adjustment_events": [
{
"position_s": 1.18,
"duration_s": 2.55,
"delta_bpm": -41.32,
"shape": "step"
},
{
"position_s": 3.88,
"duration_s": 1.97,
"delta_bpm": 36.13,
"shape": "step"
}
],
"dispersion_bpm": 69.102,
"rubato_depth_bpm": 165.07
},
"global_bpm": 143.55,
"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": 143.55,
"tempo_bpm_median_local": 129.2,
"tempo_iqr_bpm": 14.36,
"tempo_stability": 0.5556,
"beat_interval_cv": 0.027
},
"dominant_onset_period_s": 1.7183,
"dominant_onset_period_bpm": 34.92,
"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": 0.488,
"onset_rate_per_s": 10.807
}
},
"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": 0.801,
"onset_bars": 0.48,
"pitch_contour": "U-D-",
"interval_vocabulary_semitones": [
0,
2,
16
],
"intervals": [
16.0,
0.0,
-2.0,
0.0
],
"range_semitones": 16.0,
"distinctive_deviation": {
"largest_interval_semitones": 16.0,
"at_note_index": 1,
"is_licensed_leap": true
}
},
"motif_economy": {
"self_similarity_peak": 0.884,
"self_similarity_baseline": 0.7661,
"self_similarity_lift": 0.1179,
"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": 3.808,
"active_fraction": 0.5393,
"segments": [
[
0.488,
1.533
],
[
1.765,
3.808
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 0.488,
"exit_s": 3.738,
"active_fraction": 0.5281,
"segments": [
[
0.488,
3.738
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.488,
"exit_s": 3.622,
"active_fraction": 0.5094,
"segments": [
[
0.488,
3.622
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.511,
"exit_s": 3.576,
"active_fraction": 0.4981,
"segments": [
[
0.511,
3.576
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.511,
"exit_s": 3.762,
"active_fraction": 0.5281,
"segments": [
[
0.511,
3.762
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.511,
"exit_s": 3.646,
"active_fraction": 0.5094,
"segments": [
[
0.511,
3.646
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.511,
"exit_s": 4.574,
"active_fraction": 0.6592,
"segments": [
[
0.511,
4.574
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.511,
"exit_s": 3.506,
"active_fraction": 0.4869,
"segments": [
[
0.511,
3.506
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.511,
"exit_s": 3.46,
"active_fraction": 0.4794,
"segments": [
[
0.511,
3.46
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.8627,
"sub|bass": 0.8301,
"sub|low_mid": 0.8105,
"sub|mid": 0.8627,
"sub|upper_mid": 0.8301,
"sub|presence": 0.8079,
"sub|brilliance": 0.7908,
"sub|air": 0.7778,
"low_bass|bass": 0.9645,
"low_bass|low_mid": 0.9433,
"low_bass|mid": 0.9859,
"low_bass|upper_mid": 0.9645,
"low_bass|presence": 0.791,
"low_bass|brilliance": 0.922,
"low_bass|air": 0.9078,
"bass|low_mid": 0.9779,
"bass|mid": 0.9507,
"bass|upper_mid": 0.9854,
"bass|presence": 0.7627,
"bass|brilliance": 0.9559,
"bass|air": 0.9412,
"low_mid|mid": 0.9433,
"low_mid|upper_mid": 0.9779,
"low_mid|presence": 0.7557,
"low_mid|brilliance": 0.9774,
"low_mid|air": 0.9624,
"mid|upper_mid": 0.9645,
"mid|presence": 0.8011,
"mid|brilliance": 0.922,
"mid|air": 0.9078,
"upper_mid|presence": 0.7727,
"upper_mid|brilliance": 0.9559,
"upper_mid|air": 0.9412,
"presence|brilliance": 0.7386,
"presence|air": 0.7273,
"brilliance|air": 0.9846
},
"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
],
"lanes": [
0,
0,
0,
9,
9,
9,
9,
9,
9,
8,
9,
9,
9,
9,
9,
9,
9,
9,
9,
7,
4,
1,
2,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 4.738
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.4887,
"at_s": 3.019,
"db_delta": -6.29,
"lanes_removed": 0.55,
"bars_held_s": 2.577,
"re_enters_at_s": 5.596
},
{
"position": 0.6842,
"at_s": 4.226,
"db_delta": -9.34,
"lanes_removed": 1.61,
"bars_held_s": 1.37,
"re_enters_at_s": 5.596
},
{
"position": 0.8797,
"at_s": 5.433,
"db_delta": -93.73,
"lanes_removed": -0.0,
"bars_held_s": 0.163,
"re_enters_at_s": 5.596
}
],
"raises": [
{
"position": 0.0977,
"start_s": 0.604,
"end_s": 2.926,
"db_delta": 131.56,
"lanes_added": 7.38,
"slope_db_per_s": 56.659
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.464
},
{
"position": 0.812,
"at_s": 5.016,
"duration_s": 1.161
}
],
"tuttis": [
{
"position": 0.1015,
"at_s": 0.627,
"duration_s": 0.906,
"lanes": 9
},
{
"position": 0.2857,
"at_s": 1.765,
"duration_s": 1.649,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.2697,
"seconds": 1.666,
"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": 1,
"breaks": 2,
"tuttis": 2
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.488,
"time_to_hook_s": 0.801,
"time_to_hook_bars": 0.48,
"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
],
"values": [
0.0661,
0.6647,
0.7483,
0.8101,
0.7289,
0.3763,
0.1401,
0.0853,
0.0007
],
"peak_position_normalised": 0.3647
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.6719,
"bars": 3,
"index_per_bar": [
0.8129,
1.0,
0.4623
],
"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": 0.187,
"at_section_boundary": true
},
{
"bar": 2,
"at_s": 3.34,
"delta": -0.538,
"at_section_boundary": false
}
],
"steps_at_section_boundaries": 1,
"steps_total": 2,
"boundary_step_share": 0.5,
"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": 0.81,
"melodic_salience": 0.53,
"voiced_fraction": 0.1144,
"note_count": 5,
"mean_lanes": 4.738,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 191.29,
"peak_position_normalised": 0.406,
"peak_at_s": 2.508,
"arc_curve_db": [
-63.89,
-69.03,
-11.43,
-10.76,
-12.79,
-23.47,
-37.68,
-80.2,
-89.21
],
"arc_times_s": [
0.0,
0.74,
1.49,
2.23,
2.97,
3.72,
4.46,
5.2,
5.94
]
},
"register": {
"melody_span_semitones": 16.0,
"melody_tessitura_midi": 69.0,
"bass_floor_band": {
"sub": 0.00047,
"low_bass": 0.00765,
"bass": 0.02507,
"low_mid": 0.03835,
"mid": 0.32094,
"upper_mid": 0.37213,
"presence": 0.16261,
"brilliance": 0.06463,
"air": 0.00803,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00047,
"low_bass": 0.00765,
"bass": 0.02507,
"low_mid": 0.03835,
"mid": 0.32094,
"upper_mid": 0.37213,
"presence": 0.16261,
"brilliance": 0.06463,
"air": 0.00803,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.03404,
"seam_ratio": 29.38,
"seam_clean": false,
"tail_rms_over_mid": 0.0,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.8774,
"head_rms_trend": 0.9268,
"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": 1867.2,
"spectral_centroid_curve_hz": [
0.0,
2772.4,
2212.9,
2643.5,
2606.3,
1642.6,
1733.9,
1866.9,
0.0
],
"spectral_rolloff85_hz_mean": 3367.2,
"spectral_flatness_mean": 0.16693,
"signature_colour": "warm"
}
}
}