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Interval information
Ratio 75/64
Factorization 2-6 × 3 × 52
Monzo [-6 1 2
Size in cents 274.58243¢
Name classic(al) augmented second
Color name yy2, yoyo 2nd
FJS name [math]\text{A2}^{5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 12.2288
Weil height (log2 max(n, d)) 12.4576
Wilson height (sopfr (nd)) 25
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.16092 bits

[sound info]
open this interval in xen-calc

75/64, the classic(al) augmented second, arises as 9/8 sharpened by 25/24. It can also be created by stacking nine 3/2's, octave reducing, and subtracting two syntonic commas. It is the eigenmonzo (unchanged-interval) for 2/9-comma meantone.

See also