75/64
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| 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{n\cdot d}[/math]) |
~4.53871 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.