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2026-04-26 00:51:40 +08:00
from numbers import Real
type _RealNumber = int | float | Real
type _TimeSignature = tuple[int, int]
def tick2second(tick: _RealNumber, ticks_per_beat: _RealNumber, tempo: _RealNumber) -> float:
"""Convert absolute time in ticks to seconds.
Returns absolute time in seconds for a chosen MIDI file time resolution
(ticks/pulses per quarter note, also called PPQN) and tempo (microseconds
per quarter note).
"""
def second2tick(second: _RealNumber, ticks_per_beat: _RealNumber, tempo: _RealNumber) -> int:
"""Convert absolute time in seconds to ticks.
Returns absolute time in ticks for a chosen MIDI file time resolution
(ticks/pulses per quarter note, also called PPQN) and tempo (microseconds
per quarter note). Normal rounding applies.
"""
def bpm2tempo(bpm: _RealNumber, time_signature: _TimeSignature = (4, 4)) -> int:
"""Convert BPM (beats per minute) to MIDI file tempo (microseconds per
quarter note).
Depending on the chosen time signature a bar contains a different number of
beats. These beats are multiples/fractions of a quarter note, thus the
returned BPM depend on the time signature. Normal rounding applies.
"""
def tempo2bpm(tempo: _RealNumber, time_signature: _TimeSignature = (4, 4)) -> float:
"""Convert MIDI file tempo (microseconds per quarter note) to BPM (beats
per minute).
Depending on the chosen time signature a bar contains a different number of
beats. The beats are multiples/fractions of a quarter note, thus the
returned tempo depends on the time signature denominator.
"""