6561/6250

Interval information

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]\displaystyle{ \text{d2}_{5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	25.2893
Weil norm (log2 max(n, d))	25.3594
Wilson norm (sopfr(nd))	51
Comma size	medium
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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.

See also

• Medium commas