112/75

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Interval information
Ratio 112/75
Monzo |4 -1 -2 1>
Size in cents 694.24348
Name(s) marvelous fifth
Color name zgg6, zogugu 6th

[sound info]

112/75, the marvelous fifth (694.7¢), is 225/224 (7.7¢) below the just fifth 3/2. It often arises in just intonation scales, for instance as the interval from 15/14 to 8/5, or 5/7 to 16/15. Tempering out 225/224 from the scale can be used to make it much less flat, but it is usable as it is, being only half a cent flat from the 19edo fifth of 11\19. Considered as a meantone fifth, it is approximately 5/14-comma meantone.

See also