6561/6250
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| Ratio | 6561/6250 |
| Factorization | 2-1 × 38 × 5-5 |
| Monzo | [-1 8 -5⟩ |
| Size in cents | 84.071438¢ |
| Names | ripple, 5/12-meantone semitone |
| Color name | g52, Quingu comma, quingu second |
| FJS name | [math]\text{d2}_{5,5,5,5,5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 25.2893 |
| Weil height (log2 max(n, d)) | 25.3594 |
| Wilson height (sopfr(nd)) | 51 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.32152 bits |
| Comma size | medium |
| open this interval in xen-calc | |
6561/6250, the ripple or 5/12-meantone semitone, is a 5-limit ratio of about 84.07 ¢.
Theory
The interval can be treated equally either as a comma, which results in the ripple family, or as a melodic interval in its own right, where it is exactly replicated in 5/12-comma meantone. The 5/12CM-meantone is represented well in 400edo, where 6561/6250 is approximated by 28 steps and the generator fifth by 231 steps.
As a comma, it represents the difference between 27/16 and five 5/3s (octave-reduced), or 8/5 and four 10/9s.