75/64
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Ratio
75/64
Factorization
2-6 × 3 × 52
Monzo
[-6 1 2⟩
Size in cents
274.5824¢
Name
classic(al) augmented second
Color name
yy2, yoyo 2nd
FJS name
[math]\text{A2}^{5,5}[/math]
Special properties
reduced,
reduced harmonic
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
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.