Horwell comma: Difference between revisions
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The '''horwell comma''' ([[monzo]]: {{monzo| -16 1 5 1 }}, [[ratio]]: 65625/65536) is | 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 == | == Temperaments == | ||
Tempering out this comma leads to the | 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 == | |||
[[Category:Horwell]] | [[Category:Horwell]] | ||
[[Category:Commas named by combining multiple temperament names]] | |||
[[Category:Commas named after other creatives]] | |||
Latest revision as of 02:24, 4 November 2024
| Interval information |
reduced harmonic
The horwell comma (monzo: [-16 1 5 1⟩, ratio: 65625/65536) is an unnoticeable 7-limit comma measuring about 2.35 cents. 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. 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[1]. It is not clear how it later became horwell, but the root of horwell is obvious, being a contraction of hemithirds and orwell.