75/64
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Ratio | 75/64 |
Factorization | 2^{-6} × 3 × 5^{2} |
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, reduced harmonic |
Tenney height (log_{2} nd) | 12.2288 |
Weil height (log_{2} 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.