Triwellisma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = Triwellisma | ||
| Monzo = 1 -1 -7 6 | | Monzo = 1 -1 -7 6 | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The ''' | The '''triwellisma''' is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 6.8 [[cent]]s. It has the [[monzo]] {{monzo| 1 -1 -7 6 }} and the ratio 235298/234375. It is the amount by which a stack of six [[7/5]]'s [[octave reduction|octave reduced]] exceeds [[15/8]], or by which a stack of seven 7/5's octave reduced exceeds 21/16. Note that two 7/5's make [[49/25]], which is short of the octave by [[50/49]], so in other words, this comma is the difference between [[16/15]] and a stack of three 50/49's. | ||
== Temperaments == | |||
[[Tempering out]] this comma results in the triwellismic temperament. Some edos that temper it out are {{EDOs| 31, 99, 159, 258 and 487 }}. | |||
== Etymology == | |||
This comma was named by [[Xenllium]] in 2021 after the [[triwell]] temperament, in which it is the second simplest comma. | |||
[[Category:Triwellismic]] | |||
[[Category:Commas named for their regular temperament properties]] | |||