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Interval information
Ratio 112/75
Factorization 24 × 3-1 × 5-2 × 7
Monzo [4 -1 -2 1
Size in cents 694.24348¢
Name marvelous fifth
Color name zgg6, zogugu 6th
FJS name [math]\text{d6}^{7}_{5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 13.0362
Weil height (log2 max(n, d)) 13.6147
Wilson height (sopfr (nd)) 28
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.6276 bits

[sound info]
open this interval in xen-calc

112/75, the marvelous fifth (694.2¢), 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