6561/6250
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Ratio
6561/6250
Factorization
2-1 × 38 × 5-5
Monzo
[-1 8 -5⟩
Size in cents
84.07144¢
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
| Interval information |
5/12-meantone semitone
quingu second
(Shannon, [math]\sqrt{nd}[/math])
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.