15625/15552

Interval information

Ratio	15625/15552
Factorization	2-6 × 3-5 × 56
Monzo	[-6 -5 6⟩
Size in cents	8.107279¢
Name	kleisma
FJS name	[math]\displaystyle{ \text{dd}{-2}^{15625} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	27.8564
Weil norm (log2 max(n, d))	27.8631
Wilson norm (sopfr(nd))	57
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English Wikipedia has an article on:

Kleisma

The 5-limit comma 15625/15552, which is sometimes called the kleisma, is tempered out in Hanson temperament and the kleismic family. Tempering it equates a stack of six 6/5's and a single 3/1.

It's unique in the fact that in 12edo, instead of being tempered out, it's blown up to a whole semitone - six 6/5s make an augmented eleventh (18 steps), while 3/1 is a perfect tweltfth (19 steps).

See also

• Small comma
• Kleismic family, the rank-2 temperament family where it is tempered out
• Kleismic rank three family, the rank-3 temperament family where it is tempered out