Horwell comma: Difference between revisions

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The '''horwell comma''' ([[monzo]]: {{monzo| -16 1 5 1 }}, [[ratio]]: 65625/65536) is a [[7-limit]] [[comma]] measuring about 2.35 [[cent]]s. It is the difference between [[32/21]], the septimal superfifth, and a stack of five [[5/4]]'s octave reduced.

The '''horwell comma''' ([[monzo]]: {{monzo| -16 1 5 1 }}, [[ratio]]: 65625/65536) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] measuring about 2.35 [[cent]]s. It is the difference between [[32/21]], the septimal superfifth, and a stack of five [[5/4]]'s octave reduced.

== Temperaments ==

Tempering out this comma leads to the ~~'''~~horwell temperament~~'''~~, where 32/21 can be found through a stack of five 5/4's and octave reduction.

Tempering out this comma leads to the [[horwell]] temperament, where 32/21 can be found through a stack of five 5/4's and octave reduction. See [[Horwell family]] for the rank-3 family where it is tempered out. See [[Horwell temperaments]] for a collection of rank-2 temperaments where it is tempered out.

== ~~See also~~ ==

== Etymology ==

* [[~~Horwell family~~]], the ~~rank-3 family where it~~ is ~~tempered out~~

This comma was first named as ''tertiapont'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[pontiac]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''horwell'', but the root of ''horwell'' is obvious, being a contraction of ''[[hemithirds]]'' and ''[[orwell]]''.

* [[~~Horwell temperaments~~]]~~, a collection of rank-2 temperaments where it is tempered out~~

* [[~~Unnoticeable comma~~]]

== Notes ==

[[Category:Horwell]]

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 }}
-The '''horwell comma''' ([[monzo]]: {{monzo| -16 1 5 1 }}, [[ratio]]: 65625/65536) is a [[7-limit]] [[comma]] measuring about 2.35 [[cent]]s. It is the difference between [[32/21]], the septimal superfifth, and a stack of five [[5/4]]'s octave reduced.
+The '''horwell comma''' ([[monzo]]: {{monzo| -16 1 5 1 }}, [[ratio]]: 65625/65536) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] measuring about 2.35 [[cent]]s. It is the difference between [[32/21]], the septimal superfifth, and a stack of five [[5/4]]'s octave reduced.
 == Temperaments ==
-Tempering out this comma leads to the '''horwell temperament''', where 32/21 can be found through a stack of five 5/4's and octave reduction.
+Tempering out this comma leads to the [[horwell]] temperament, where 32/21 can be found through a stack of five 5/4's and octave reduction. See [[Horwell family]] for the rank-3 family where it is tempered out. See [[Horwell temperaments]] for a collection of rank-2 temperaments where it is tempered out.
-== See also ==
+== Etymology ==
-* [[Horwell family]], the rank-3 family where it is tempered out
+This comma was first named as ''tertiapont'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[pontiac]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''horwell'', but the root of ''horwell'' is obvious, being a contraction of ''[[hemithirds]]'' and ''[[orwell]]''.
-* [[Horwell temperaments]], a collection of rank-2 temperaments where it is tempered out
-* [[Unnoticeable comma]]
+== Notes ==
 [[Category:Horwell]]