music/exemplars/formula_cards/UNMATCHED__34_Obtained_a_Badge_.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__34_Obtained_a_Badge_",
"title": null,
"game": null,
"composer": null,
"purpose_class": null,
"source_path": "D:\\audio\\exemplars\\iTunes_Sweep\\Compilations\\Pokémon Diamond & Pokémon Pearl_ Super M\\34 Obtained a Badge!.m4a",
"sha256": "c7bd18cb000f9f7cfad0ce8961cdabbb5717e0436e90e808e63aa81723e65e4f",
"bytes": 798247,
"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": "2026-08-07T03:15:48+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": 7.76,
"section_boundaries_s": [
0.0,
4.714,
7.76
],
"section_count": 2,
"repeat_map": [
{
"section": 0,
"most_like_section": null,
"similarity": 0.0,
"is_repeat": false
},
{
"section": 1,
"most_like_section": 0,
"similarity": 0.7785,
"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": 172.27,
"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
],
"curve_bpm": [
172.27,
172.27,
172.27,
92.29,
92.29,
136.0,
95.7,
95.7,
143.55,
143.55,
143.55,
287.11,
287.11,
287.11,
287.11,
287.11,
287.11,
287.11,
287.11,
287.11,
287.11
],
"adjustment_events": [
{
"position_s": 0.0,
"duration_s": 3.41,
"delta_bpm": -56.06,
"shape": "ramp"
},
{
"position_s": 3.58,
"duration_s": 3.9,
"delta_bpm": 84.89,
"shape": "step"
}
],
"dispersion_bpm": 80.953,
"rubato_depth_bpm": 194.824
},
"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": 143.55,
"tempo_iqr_bpm": 7.56,
"tempo_stability": 0.7895,
"beat_interval_cv": 1.0
},
"dominant_onset_period_s": 1.6951,
"dominant_onset_period_bpm": 35.4,
"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": 0.584,
"onset_rate_per_s": 10.799
}
},
"tonality": {
"key": "D",
"mode": "minor",
"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": 0.522,
"onset_bars": 0.38,
"pitch_contour": "-U-U--",
"interval_vocabulary_semitones": [
0,
2
],
"intervals": [
0.33,
2.0,
0.0,
2.0,
0.0,
0.0
],
"range_semitones": 4.33,
"distinctive_deviation": {
"largest_interval_semitones": 2.0,
"at_note_index": 2,
"is_licensed_leap": false
}
},
"motif_economy": {
"self_similarity_peak": 0.922,
"self_similarity_baseline": 0.8119,
"self_similarity_lift": 0.1101,
"recurrence_lag_s": 0.464,
"interval_3gram_repetition": 0.25,
"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": 0.325,
"exit_s": 4.992,
"active_fraction": 0.603,
"segments": [
[
0.325,
4.992
]
]
},
{
"lane": "low_bass",
"band_hz": [
45,
90
],
"entry_s": 1.045,
"exit_s": 4.714,
"active_fraction": 0.4657,
"segments": [
[
1.045,
4.04
],
[
4.133,
4.714
]
]
},
{
"lane": "bass",
"band_hz": [
90,
180
],
"entry_s": 0.348,
"exit_s": 5.085,
"active_fraction": 0.6119,
"segments": [
[
0.348,
5.085
]
]
},
{
"lane": "low_mid",
"band_hz": [
180,
355
],
"entry_s": 0.325,
"exit_s": 5.016,
"active_fraction": 0.606,
"segments": [
[
0.325,
5.016
]
]
},
{
"lane": "mid",
"band_hz": [
355,
710
],
"entry_s": 0.325,
"exit_s": 4.923,
"active_fraction": 0.594,
"segments": [
[
0.325,
4.923
]
]
},
{
"lane": "upper_mid",
"band_hz": [
710,
1400
],
"entry_s": 0.348,
"exit_s": 4.946,
"active_fraction": 0.594,
"segments": [
[
0.348,
4.946
]
]
},
{
"lane": "presence",
"band_hz": [
1400,
2800
],
"entry_s": 0.325,
"exit_s": 4.946,
"active_fraction": 0.597,
"segments": [
[
0.325,
4.946
]
]
},
{
"lane": "brilliance",
"band_hz": [
2800,
5600
],
"entry_s": 0.348,
"exit_s": 4.969,
"active_fraction": 0.597,
"segments": [
[
0.348,
4.969
]
]
},
{
"lane": "air",
"band_hz": [
5600,
11200
],
"entry_s": 0.348,
"exit_s": 5.039,
"active_fraction": 0.606,
"segments": [
[
0.348,
5.039
]
]
}
],
"interlap_matrix": {
"sub|low_bass": 0.7723,
"sub|bass": 0.9757,
"sub|low_mid": 0.9951,
"sub|mid": 0.9851,
"sub|upper_mid": 0.9851,
"sub|presence": 0.9901,
"sub|brilliance": 0.9901,
"sub|air": 0.9853,
"low_bass|bass": 0.761,
"low_bass|low_mid": 0.7685,
"low_bass|mid": 0.7839,
"low_bass|upper_mid": 0.7839,
"low_bass|presence": 0.78,
"low_bass|brilliance": 0.78,
"low_bass|air": 0.7685,
"bass|low_mid": 0.9806,
"bass|mid": 0.9612,
"bass|upper_mid": 0.9707,
"bass|presence": 0.966,
"bass|brilliance": 0.9756,
"bass|air": 0.9902,
"low_mid|mid": 0.9803,
"low_mid|upper_mid": 0.9803,
"low_mid|presence": 0.9852,
"low_mid|brilliance": 0.9852,
"low_mid|air": 0.9902,
"mid|upper_mid": 0.99,
"mid|presence": 0.995,
"mid|brilliance": 0.9851,
"mid|air": 0.9706,
"upper_mid|presence": 0.995,
"upper_mid|brilliance": 0.995,
"upper_mid|air": 0.9803,
"presence|brilliance": 0.99,
"presence|air": 0.9755,
"brilliance|air": 0.9852
},
"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
],
"lanes": [
0,
0,
8,
8,
8,
8,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
9,
8,
9,
9,
9,
8,
3,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"max": 9,
"mean": 5.275
},
"register_spacing_octaves": [
1.085,
1.0,
0.99,
0.99,
0.99,
0.99,
1.0,
1.0
]
},
"event_grammar": {
"drops": [
{
"position": 0.5775,
"at_s": 4.481,
"db_delta": -5.73,
"lanes_removed": 1.61,
"bars_held_s": 2.694,
"re_enters_at_s": 7.175
},
{
"position": 0.7331,
"at_s": 5.689,
"db_delta": -12.65,
"lanes_removed": 0.19,
"bars_held_s": 1.486,
"re_enters_at_s": 7.175
},
{
"position": 0.8887,
"at_s": 6.896,
"db_delta": -10.02,
"lanes_removed": -0.0,
"bars_held_s": 0.279,
"re_enters_at_s": 7.175
}
],
"raises": [
{
"position": 0.0778,
"start_s": 0.604,
"end_s": 4.342,
"db_delta": 76.98,
"lanes_added": 4.73,
"slope_db_per_s": 20.591
}
],
"breaks": [
{
"position": 0.0,
"at_s": 0.0,
"duration_s": 0.302
},
{
"position": 0.7391,
"at_s": 5.735,
"duration_s": 2.02
}
],
"tuttis": [
{
"position": 0.1347,
"at_s": 1.045,
"duration_s": 3.669,
"lanes": 9
}
],
"silence_budget": {
"fraction": 0.3045,
"seconds": 2.363,
"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": 1
}
},
"opening_and_flow_law": {
"onset_type": "fade_in",
"first_sound_at_s": 0.325,
"time_to_hook_s": 0.522,
"time_to_hook_bars": 0.38,
"time_to_full_texture_s": 1.045,
"time_to_full_texture_bars": 0.75,
"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
],
"values": [
0.0828,
0.6779,
0.7183,
0.8373,
0.7696,
0.8271,
0.7317,
0.2057,
0.0768,
0.0781,
0.1431
],
"peak_position_normalised": 0.497
}
},
"complexity_law": {
"available": true,
"bar_length_s": 1.3932,
"bars": 5,
"index_per_bar": [
0.8198,
1.0,
0.9932,
0.6911,
0.0281
],
"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": 1.39,
"delta": 0.18,
"at_section_boundary": true
},
{
"bar": 3,
"at_s": 4.18,
"delta": -0.302,
"at_section_boundary": true
},
{
"bar": 4,
"at_s": 5.57,
"delta": -0.663,
"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": 0.902,
"melodic_salience": 0.5596,
"voiced_fraction": 0.1271,
"note_count": 7,
"mean_lanes": 5.275,
"max_lanes": 9
},
"dynamics": {
"dynamic_range_db_p95_minus_p10": 67.3,
"peak_position_normalised": 0.4162,
"peak_at_s": 3.228,
"arc_curve_db": [
-44.11,
-51.42,
-14.43,
-14.84,
-14.57,
-14.24,
-19.53,
-36.73,
-56.89,
-70.4,
-57.54
],
"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
]
},
"register": {
"melody_span_semitones": 4.33,
"melody_tessitura_midi": 48.0,
"bass_floor_band": {
"sub": 0.00015,
"low_bass": 0.00404,
"bass": 0.16582,
"low_mid": 0.17963,
"mid": 0.30306,
"upper_mid": 0.15341,
"presence": 0.13228,
"brilliance": 0.05123,
"air": 0.01028,
"ultra": 0.0
},
"octave_band_profile": {
"sub": 0.00015,
"low_bass": 0.00404,
"bass": 0.16582,
"low_mid": 0.17963,
"mid": 0.30306,
"upper_mid": 0.15341,
"presence": 0.13228,
"brilliance": 0.05123,
"air": 0.01028,
"ultra": 0.0
}
},
"cadence_and_ending": {
"loop_seam": {
"measurable": true,
"seam_distance": 1.0,
"interior_distance_median": 0.01621,
"seam_ratio": 61.707,
"seam_clean": false,
"tail_rms_over_mid": 0.0003,
"head_rms_over_mid": 0.0,
"tail_rms_trend": -0.9399,
"head_rms_trend": 0.7716,
"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": 1936.2,
"spectral_centroid_curve_hz": [
0.0,
2653.5,
1357.8,
2938.6,
1761.8,
2491.9,
2561.9,
1618.6,
1099.8,
1214.9,
2249.3
],
"spectral_rolloff85_hz_mean": 4014.2,
"spectral_flatness_mean": 0.05753,
"signature_colour": "warm"
}
}
}