Fixes to midi2ly.py: better note lengths, now supports meter changes
(1) Note lengths currently are fractions like 61/120. If the numerator
can be changed by 1 to get a better fraction, it is done. Quarter
notes are also replaced with eighths/sixteenths if appropriate.
For example: a duration of 4*61/120 is changed to 4*1/2 and then
to 8. (2) Current version of midi2ly does not support meter changes.
Patch does.
Resolves: #5119
http://codereview.appspot.com/325800043
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** [issues:#5119] MIDI2Ly fraction reduction**
**Status:** Started
**Created:** Sun Apr 16, 2017 02:32 PM UTC by Colin Campbell
**Last Updated:** Sat May 27, 2017 08:21 AM UTC
**Owner:** nobody
Submitted by Christopher Heckman:
When midi2ly is run, it will print fractions with large numerators
and denominators, like
r4*361/120 e4*29/120 r4*31/120 e4*59/120 r4*361/120 e4*29/120
when the actual durations are more likely to be
r2. e4*1/4 r4*1/4 e4*1/2 r2. e4*1/4 r4*1/4 e4*1/2 r2. e4*1/4
I have written a patch to fix this. Inside of the class Duration (line
129), replace the dump function with:
---
def dump (self):
den = self.den; num = self.num;
# code below by C C Heckman
# looks for a neighboring fraction that reduces
if num > 1:
gcd1 = gcd (num - 1, den)
gcd2 = gcd (num, den)
gcd3 = gcd (num + 1, den)
if gcd1 > gcd2 and gcd1 > gcd3:
d = -1; g = gcd1
elif gcd3 > gcd2 and gcd3 > gcd1:
d = +1; g = gcd3
else:
d = 0; g = gcd2
# for now, do nothing
num = (num + d) / g
den = den / g
if den == 1:
if num == 1:
s = '%d' % self.dur
elif num == 3 and self.dur != 1:
s = '%d.' % (self.dur / 2)
else:
s = '%d*%d' % (self.dur, num)
else:
s = '%d*%d/%d' % (self.dur, num, den)
# end modified code
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