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"""Dynamics for MuScriptor output: loudness becomes velocity.
MuScriptor Large finds pitch, onset, duration and instrument, but it does not
predict velocity, so every note in its MIDI arrives at the same strength and a
forte passage reads exactly like a piano one. The strength is measurable in the
recording itself, note by note, at the onset the model already placed: what is
missing is not a better model but a measurement.
So this takes the audio and the model's MIDI, measures each note, and writes a
MIDI whose velocities follow the performance. Nothing is retrained and nothing
loops: one pass over the notes, progress printed in tens of percent.
Usage:
python3 muscriptor_dynamics.py song.wav notes.mid out.mid
python3 muscriptor_dynamics.py --selftest
"""
from __future__ import annotations
__version__ = "1.1"
import math
import os
import struct
import sys
import wave
import numpy as np
# How far into a note the loudness is measured. A piano hammer peaks within a
# few tens of milliseconds; a bowed note swells for longer. A quarter of a second
# covers both without wandering into the next note in a fast passage.
ONSET_WINDOW_S = 0.25
# The dynamic range mapped onto 1..127, in decibels. Everything at or below the
# floor is a whisper, everything at or above the ceiling is a full strike.
FLOOR_DB = -34.0
CEIL_DB = 0.0
# Gamma below 1 lifts quiet notes so a soft passage stays playable rather than
# collapsing into single-digit velocities.
CURVE = 0.65
# --------------------------------------------------------------------------- #
# audio
# --------------------------------------------------------------------------- #
def load_audio(path):
"""Mono float32 samples and the sample rate. WAV natively, MP3/other via ffmpeg."""
if path.lower().endswith(".wav"):
with wave.open(path, "rb") as w:
channels = w.getnchannels()
width = w.getsampwidth()
rate = w.getframerate()
frames = w.readframes(w.getnframes())
else:
import subprocess
import tempfile
with tempfile.NamedTemporaryFile(suffix=".wav", delete=False) as tmp:
out = tmp.name
try:
subprocess.run(
["ffmpeg", "-v", "error", "-y", "-i", path, "-ac", "1",
"-ar", "22050", "-f", "wav", out],
check=True,
)
with wave.open(out, "rb") as w:
channels = w.getnchannels()
width = w.getsampwidth()
rate = w.getframerate()
frames = w.readframes(w.getnframes())
finally:
try:
os.unlink(out)
except OSError:
pass
if width == 2:
data = np.frombuffer(frames, dtype="<i2").astype(np.float32) / 32768.0
elif width == 4:
data = np.frombuffer(frames, dtype="<i4").astype(np.float32) / 2147483648.0
elif width == 1:
data = (np.frombuffer(frames, dtype=np.uint8).astype(np.float32) - 128.0) / 128.0
else:
raise SystemExit("unsupported sample width: " + str(width))
if channels > 1:
data = data.reshape(-1, channels).mean(axis=1)
return data, rate
# --------------------------------------------------------------------------- #
# MIDI reading and writing (Standard MIDI File, the parts a transcription uses)
# --------------------------------------------------------------------------- #
MARKER = b"muscriptor:bar_offset="
def _vlq(data, i):
value = 0
while True:
byte = data[i]
i += 1
value = (value << 7) | (byte & 0x7F)
if not byte & 0x80:
return value, i
def _put_vlq(out, value):
chunk = [value & 0x7F]
value >>= 7
while value:
chunk.append((value & 0x7F) | 0x80)
value >>= 7
out.extend(reversed(chunk))
def read_midi(path):
"""Notes as (start_s, dur_s, pitch, channel) plus the raw tempo map."""
raw = open(path, "rb").read()
if not raw.startswith(b"MThd"):
raise SystemExit("not a MIDI file: " + path)
division = struct.unpack(">H", raw[12:14])[0]
if division & 0x8000:
raise SystemExit("SMPTE timecode MIDI is not supported")
pos = 14
tempo = [(0, 500000)]
sounding = {}
notes = []
while pos + 8 <= len(raw) and raw[pos:pos + 4] == b"MTrk":
length = struct.unpack(">I", raw[pos + 4:pos + 8])[0]
body = raw[pos + 8:pos + 8 + length]
pos += 8 + length
tick = 0
status = None
i = 0
while i < len(body):
delta, i = _vlq(body, i)
tick += delta
if i >= len(body):
break
byte = body[i]
if byte == 0xFF:
i += 1
meta = body[i]
i += 1
size, i = _vlq(body, i)
if meta == 0x51 and size == 3:
tempo.append((tick, (body[i] << 16) | (body[i + 1] << 8) | body[i + 2]))
i += size
status = None
elif byte in (0xF0, 0xF7):
i += 1
size, i = _vlq(body, i)
i += size
status = None
elif byte & 0x80:
status = byte
i += 1
high = status & 0xF0
channel = status & 0x0F
count = 1 if high in (0xC0, 0xD0) else 2
args = body[i:i + count]
i += count
if high == 0x90 and args[1] > 0:
sounding.setdefault((channel, args[0]), []).append(tick)
elif high == 0x80 or (high == 0x90 and args[1] == 0):
stack = sounding.get((channel, args[0]))
if stack:
start = stack.pop(0)
notes.append([start, tick - start, args[0], channel])
else:
if status is None:
break
high = status & 0xF0
channel = status & 0x0F
count = 1 if high in (0xC0, 0xD0) else 2
args = body[i:i + count]
i += count
if high == 0x90 and args[1] > 0:
sounding.setdefault((channel, args[0]), []).append(tick)
elif high == 0x80 or (high == 0x90 and args[1] == 0):
stack = sounding.get((channel, args[0]))
if stack:
start = stack.pop(0)
notes.append([start, tick - start, args[0], channel])
for (channel, pitch), stack in sounding.items():
for start in stack:
notes.append([start, 0, pitch, channel])
tempo.sort(key=lambda item: item[0])
def to_seconds(tick):
seconds = 0.0
last = 0
us_per_quarter = 500000
for at, us in tempo:
if at > tick:
break
seconds += (at - last) / division * (us_per_quarter / 1000000.0)
last = at
us_per_quarter = us
seconds += (tick - last) / division * (us_per_quarter / 1000000.0)
return seconds
converted = [(to_seconds(s), max(0.05, to_seconds(s + d) - to_seconds(s)), p, c)
for s, d, p, c in notes]
converted.sort(key=lambda item: item[0])
return converted, tempo, division
def write_midi(path, notes, bpm=120):
"""A single-track MIDI at a constant tempo, velocities as measured.
The bar-offset marker the box writes is deliberately not reproduced: it is a
text event that anything rendering MIDI text shows as garbage, and the
alignment it carries is only meaningful to the box's own auralizer.
"""
division = 480
us_per_quarter = int(round(60000000.0 / max(1.0, bpm)))
events = [(0, b"\xff\x51\x03" + us_per_quarter.to_bytes(3, "big"))]
events.append((0, b"\xff\x03\x08pianoify"))
for start, dur, pitch, channel, velocity in notes:
on_tick = int(round(start * division * 1000000.0 / us_per_quarter))
off_tick = int(round((start + dur) * division * 1000000.0 / us_per_quarter))
channel = max(0, min(15, channel))
events.append((on_tick, bytes([0x90 | channel, pitch, max(1, min(127, velocity))])))
events.append((off_tick, bytes([0x80 | channel, pitch, 0])))
events.sort(key=lambda item: (item[0], item[1][0] & 0xF0 == 0x80))
track = bytearray()
last = 0
for tick, payload in events:
_put_vlq(track, tick - last)
track.extend(payload)
last = tick
_put_vlq(track, division * 2)
track.extend(b"\xff\x2f\x00")
blob = bytearray(b"MThd" + struct.pack(">IHHH", 6, 0, 1, division))
blob += b"MTrk" + struct.pack(">I", len(track)) + track
with open(path, "wb") as f:
f.write(blob)
return path
# --------------------------------------------------------------------------- #
# the measurement
# --------------------------------------------------------------------------- #
def measure(notes, samples, rate, progress=None):
"""Velocity per note, from the loudness and the attack at its onset.
Two things make a note read as fortissimo rather than piano: how loud it is
overall, and how hard it starts. A drummer and a pianist both hit harder for
an accent, so the attack-to-body ratio is blended in — it is what separates a
struck note from a sustained one at the same level.
"""
levels = np.zeros(len(notes))
attacks = np.zeros(len(notes))
window = max(1, int(ONSET_WINDOW_S * rate))
total = max(1, len(notes))
for index, (start, dur, pitch, _channel) in enumerate(notes):
first = int(max(0, round(start * rate)))
span = min(window, max(1, int(max(0.03, min(dur, ONSET_WINDOW_S)) * rate)))
chunk = samples[first:first + span]
if chunk.size == 0:
levels[index] = -120.0
attacks[index] = 0.0
else:
rms = float(np.sqrt(np.mean(chunk * chunk)) + 1e-9)
peak = float(np.max(np.abs(chunk)) + 1e-9)
levels[index] = 20.0 * math.log10(rms)
attacks[index] = peak / rms
if progress and index % max(1, total // 10) == 0:
progress("измеряю ноты: %d%%" % (100 * index // total))
if not len(notes):
return []
loud = np.percentile(levels, 99.7)
quiet = np.percentile(levels, 4)
if loud - quiet < 6.0: # a flat piece: keep gentle dynamics
loud = quiet + 6.0
attack_med = float(np.median(attacks)) or 1.0
attack_span = max(1e-6, float(np.percentile(attacks, 90) - np.percentile(attacks, 10)))
velocities = []
for index in range(len(notes)):
share = (levels[index] - quiet) / (loud - quiet)
share = min(1.0, max(0.0, share))
accent = (attacks[index] - (attack_med - attack_span / 2)) / attack_span
accent = min(1.0, max(-1.0, accent))
# Multiplicative, not additive: an accent should sharpen the note's own
# level rather than lift every loud note onto the same ceiling.
shaped = min(1.0, max(0.0, share ** CURVE * (1.0 + 0.18 * accent)))
# A floor of 12: velocity 1 is inaudible on every synth, so the quietest
# measured note still has to be playable, and the loudest keeps headroom.
velocities.append(int(round(12 + shaped * 112)))
return velocities
def histogram(velocities):
buckets = [0] * 6
for velocity in velocities:
buckets[min(5, velocity * 6 // 128)] += 1
return buckets
def run(audio_path, midi_path, out_path):
steps = 5
def tell(percent, what):
print("[%3d%%] %s" % (percent, what), flush=True)
tell(100 * 0 // steps, "читаю аудио " + os.path.basename(audio_path))
samples, rate = load_audio(audio_path)
tell(100 * 1 // steps, "аудио: %.1f с, %d Гц" % (len(samples) / rate, rate))
notes, tempo, division = read_midi(midi_path)
if not notes:
raise SystemExit("no notes in " + midi_path)
tell(100 * 2 // steps, "MIDI: %d нот, первый темп %d мкс/четверть"
% (len(notes), tempo[0][1]))
def progress(message):
print(" " + message, flush=True)
velocities = measure(notes, samples, rate, progress)
tell(100 * 3 // steps, "динамика: velocity %d..%d, медиана %d"
% (min(velocities), max(velocities), int(np.median(velocities))))
bpm = 60000000.0 / tempo[0][1]
out_notes = [(start, dur, pitch, channel, velocities[i])
for i, (start, dur, pitch, channel) in enumerate(notes)]
write_midi(out_path, out_notes, bpm)
tell(100 * 4 // steps, "записан " + os.path.basename(out_path))
buckets = histogram(velocities)
labels = ["pp", "p", "mp", "mf", "f", "ff"]
print(" динамические оттенки: "
+ ", ".join(labels[i] + "=" + str(buckets[i]) for i in range(6)), flush=True)
tell(100, "готово")
return velocities
# --------------------------------------------------------------------------- #
# self-test: the measurement has to follow the loudness that is really there
# --------------------------------------------------------------------------- #
def selftest():
rate = 22050
amplitudes = [0.08, 0.5, 0.12, 0.45, 0.09, 0.55, 0.15, 0.4]
pitches = [60, 62, 64, 65, 67, 69, 71, 72]
note_seconds = 0.4
total = int(rate * (note_seconds * len(pitches) + 0.2))
signal = np.zeros(total, dtype=np.float32)
for index, (amp, pitch) in enumerate(zip(amplitudes, pitches)):
freq = 440.0 * 2 ** ((pitch - 69) / 12)
length = int(rate * note_seconds)
t = np.arange(length) / rate
tone = sum((1.0 / k) * np.sin(2 * math.pi * freq * k * t) for k in (1, 2, 3))
tone *= np.exp(-6.0 * t)
start = int(index * note_seconds * rate)
signal[start:start + length] += (amp * tone).astype(np.float32)
signal = np.clip(signal / max(1e-9, np.max(np.abs(signal))) * 0.95, -1, 1)
here = os.path.dirname(os.path.abspath(__file__))
wav_path = os.path.join(here, "selftest_dynamics.wav")
midi_path = os.path.join(here, "selftest_dynamics.mid")
out_path = os.path.join(here, "selftest_dynamics_out.mid")
with wave.open(wav_path, "wb") as w:
w.setnchannels(1)
w.setsampwidth(2)
w.setframerate(rate)
w.writeframes((signal * 32767).astype("<i2").tobytes())
flat = [(index * note_seconds, note_seconds * 0.9, pitch, 0, 64)
for index, pitch in enumerate(pitches)]
write_midi(midi_path, flat, 120)
print("self-test: 8 нот, амплитуды " + ", ".join("%.2f" % a for a in amplitudes), flush=True)
velocities = run(wav_path, midi_path, out_path)
samples, load_rate = load_audio(wav_path)
notes, _tempo, _division = read_midi(out_path)
assert load_rate == rate, "sample rate changed"
assert len(notes) == len(pitches), "note count changed: %d" % len(notes)
get = dict()
for start, _dur, pitch, _channel in notes:
get[round(start / note_seconds)] = pitch
del get
soft = [velocities[i] for i in (0, 2, 4)]
loud = [velocities[i] for i in (1, 3, 5)]
correlation = float(np.corrcoef(amplitudes[:len(velocities)], velocities)[0][1])
print(" тихие: %s | громкие: %s" % (soft, loud), flush=True)
print(" корреляция амплитуда/velocity: %.3f" % correlation, flush=True)
assert min(loud) - max(soft) > 20, "динамика не разделилась"
assert correlation > 0.85, "velocity не следует за громкостью"
assert all(1 <= v <= 127 for v in velocities), "velocity вне диапазона"
print("self-test: OK", flush=True)
for path in (wav_path, midi_path, out_path):
try:
os.unlink(path)
except OSError:
pass
if __name__ == "__main__":
if "--selftest" in sys.argv:
selftest()
elif len(sys.argv) == 4:
run(sys.argv[1], sys.argv[2], sys.argv[3])
else:
print(__doc__)
raise SystemExit(2)
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