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            "startTick": 960,
            "keyEndTick": 1200,
            "endTick": 2400,
            "start": 1,
            "end": 2.5,
            "keyEnd": 1.25,
            "beat": 2,
            "keyBeats": 0.5
          },
          {
            "midi": 72,
            "velocity": 88,
            "channel": 0,
            "track": 0,
            "startTick": 1440,
            "keyEndTick": 1680,
            "endTick": 2400,
            "start": 1.5,
            "end": 2.5,
            "keyEnd": 1.75,
            "beat": 3,
            "keyBeats": 0.5
          }
        ],
        "tempo_map": [
          {
            "tick": 0,
            "us": 500000,
            "seconds": 0
          }
        ],
        "wav": {
          "bytes": 132344,
          "frames": 66150,
          "sample_rate": 22050,
          "channels": 1,
          "pcm_bits": 16,
          "duration_seconds": 3,
          "sha256": "6dfdabbc969f682dc802c82fc9991e6c53cbddb35f572ee71e42f53058860eb2"
        }
      },
      "long-keys": {
        "input_midi": {
          "bytes": 69,
          "sha256": "cbb8ce1eb0ba84acb8ab6cd1fdf25a875760c87f1b72769ed38c4964406485dc"
        },
        "notes": [
          {
            "midi": 60,
            "velocity": 88,
            "channel": 0,
            "track": 0,
            "startTick": 0,
            "keyEndTick": 2400,
            "endTick": 2400,
            "start": 0,
            "end": 2.5,
            "keyEnd": 2.5,
            "beat": 0,
            "keyBeats": 5
          },
          {
            "midi": 64,
            "velocity": 88,
            "channel": 0,
            "track": 0,
            "startTick": 480,
            "keyEndTick": 2400,
            "endTick": 2400,
            "start": 0.5,
            "end": 2.5,
            "keyEnd": 2.5,
            "beat": 1,
            "keyBeats": 4
          },
          {
            "midi": 67,
            "velocity": 88,
            "channel": 0,
            "track": 0,
            "startTick": 960,
            "keyEndTick": 2400,
            "endTick": 2400,
            "start": 1,
            "end": 2.5,
            "keyEnd": 2.5,
            "beat": 2,
            "keyBeats": 3
          },
          {
            "midi": 72,
            "velocity": 88,
            "channel": 0,
            "track": 0,
            "startTick": 1440,
            "keyEndTick": 2400,
            "endTick": 2400,
            "start": 1.5,
            "end": 2.5,
            "keyEnd": 2.5,
            "beat": 3,
            "keyBeats": 2
          }
        ],
        "tempo_map": [
          {
            "tick": 0,
            "us": 500000,
            "seconds": 0
          }
        ],
        "wav": {
          "bytes": 132344,
          "frames": 66150,
          "sample_rate": 22050,
          "channels": 1,
          "pcm_bits": 16,
          "duration_seconds": 3,
          "sha256": "6dfdabbc969f682dc802c82fc9991e6c53cbddb35f572ee71e42f53058860eb2"
        }
      }
    },
    "pedal_and_long_keys_wav_identical": true
  },
  "identical_audio_control": {
    "method": "Full byte comparison, not only matching hashes",
    "wav_bytes_equal": true,
    "wav_bytes": 132344,
    "output_midi_bytes_equal": true,
    "inference": "These two distinct original key/controller event patterns are indistinguishable from these exact WAV bytes under this simple renderer. This does not establish identical acoustics for real pianos."
  },
  "formula_inputs": {
    "source_ticks_per_quarter": 480,
    "source_tempo_microseconds": 500000,
    "tick_to_seconds": "tick / 480 * 500000 / 1000000 = tick / 960",
    "source_starts_ticks": [
      0,
      480,
      960,
      1440
    ],
    "source_key_ends_ticks": [
      240,
      720,
      1200,
      1680
    ],
    "pedal_off_tick": 2400,
    "pedal_off_seconds": "2400 / 960 = 2.5",
    "long_keys_key_off_tick": 2400,
    "wav_duration": "frame count / sample rate (22050 Hz)",
    "render_release_seconds": 0.12,
    "render_tail_buffer_seconds": 0.5
  }
}