15625/15552: Difference between revisions
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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 | 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). | 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). | ||
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[[Category:Small commas]] | [[Category:Small commas]] | ||
[[Category:Kleismic]] | [[Category:Kleismic]] | ||
Revision as of 16:26, 5 April 2022
| Interval information |
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.
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