Triwellisma: Difference between revisions

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{{Infobox Interval

| Name = ~~Triwellsma~~

| Name = Triwellisma

| Monzo = 1 -1 -7 6

| Comma = yes

}}

The '''~~triwellsma~~''' is ~~an interval of~~ about 6.~~804 cents~~. It has the [[monzo]] [1 -1 -7 6⟩ and the ratio ~~'''~~235298 / 234375'''.

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.

It ~~is tempered out in some edos including {{EDOs|159, 258 and 487}}~~.

It factors into simpler commas as ([[2401/2400]])⋅([[3136/3125]]).

== Temperaments ==

[[Category:Commas ~~with unknown etymology~~]]

[[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]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = Triwellsma
+| Name = Triwellisma
 | Monzo = 1 -1 -7 6
 | Comma = yes
 }}
-The '''triwellsma''' is an interval of about 6.804 cents. It has the [[monzo]] [1 -1 -7 6⟩ and the ratio '''235298 / 234375'''.
+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.
-It is tempered out in some edos including {{EDOs|159, 258 and 487}}.
+It factors into simpler commas as ([[2401/2400]])⋅([[3136/3125]]).
-{{todo|expand}}
+== Temperaments ==
-[[Category:Commas with unknown etymology]]
+[[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]]