25/22
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| Ratio | 25/22 |
| Factorization | 2-1 × 52 × 11-1 |
| Monzo | [-1 0 2 0 -1⟩ |
| Size in cents | 221.30949¢ |
| Names | ptolemismic whole tone, undecimal acute whole tone |
| Color name | 1uyy2, luyoyo 2nd |
| FJS name | [math]\text{A2}^{5,5}_{11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 9.10329 |
| Weil height (log2 max(n, d)) | 9.28771 |
| Wilson height (sopfr (nd)) | 23 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.55505 bits |
[sound info] | |
| open this interval in xen-calc | |
25/22, the ptolemismic whole tone or undecimal acute whole tone, is an 11-limit interval. It is sharp of 9/8, the Pythagorean whole tone, by 100/99, the ptolemisma, hence the name. It is also flat of 8/7, the septimal major second, by 176/175, the valinorsma. Another interval close to it but simpler is 17/15, from which it is separated by 375/374.