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## [Lilypond-auto] [LilyIssues-auto] [testlilyissues:issues] #5119 MIDI2Ly

 From: Auto mailings of changes to Lily Issues Subject: [Lilypond-auto] [LilyIssues-auto] [testlilyissues:issues] #5119 MIDI2Ly fraction reduction Date: Sat, 27 May 2017 08:21:53 +0000

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 461/120 is changed to 41/2 and then
to 8. (2) Current version of midi2ly does not support meter changes.
Patch does.

Resolves: #5119

http://codereview.appspot.com/325800043

[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

r4361/120 e429/120 r431/120 e459/120 r4361/120 e429/120

when the actual durations are more likely to be

r2. e41/4 r41/4 e41/2 r2. e41/4 r41/4 e41/2 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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