Horwell comma: Difference between revisions

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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. It is also the amount by which the difference between [[32/25]] and [[75/64]] falls short of [[35/32]].

It factors into simpler commas as (4375/4374)⋅(32805/32768), the [[ragisma]] and the [[schisma]].

== 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. 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.

[[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.

== Etymology ==

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]]''.

== ~~Notes~~ ==

== References ==

[[Category:Horwell]]

[[Category:Commas named by combining multiple temperament names]]

[[Category:Commas named after other creatives]]

@@ Line 7: / Line 7: @@
 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. It is also the amount by which the difference between [[32/25]] and [[75/64]] falls short of [[35/32]].
+It factors into simpler commas as (4375/4374)⋅(32805/32768), the [[ragisma]] and the [[schisma]].
 == 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. 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.
+[[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.
 == Etymology ==
 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]]''.
-== Notes ==
+== References ==
 [[Category:Horwell]]
 [[Category:Commas named by combining multiple temperament names]]
 [[Category:Commas named after other creatives]]