15625/15552: Difference between revisions

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m Not unique at all, as shown elsewhere.
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The [[5-limit]] [[comma]] '''15625/15552''', which is sometimes called the '''kleisma''', is tempered out in [[Hanson|Hanson temperament]] and the kleismic family. Tempering it equates a stack of six [[6/5]]'s with a single [[3/1]].
The [[5-limit]] [[comma]] '''15625/15552''', which is sometimes called the '''kleisma''', is tempered out in [[Hanson|Hanson temperament]] and the kleismic family. Tempering it equates a stack of six [[6/5]]'s with 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).
Like the [[magic comma]], instead of being tempered out in [[12edo]], 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 ==
== See also ==
* [[Small comma]]
* [[Small comma]]

Revision as of 19:07, 11 October 2022

Interval information
Ratio 15625/15552
Factorization 2-6 × 3-5 × 56
Monzo [-6 -5 6
Size in cents 8.107279¢
Name kleisma
Color name y6-2, Tribiyo comma
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
Open this interval in xen-calc
English Wikipedia has an article on:

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 with a single 3/1.

Like the magic comma, instead of being tempered out in 12edo, 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