Escapade comma: Difference between revisions
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The '''escapade comma''', {{monzo| 32 -7 -9 }}, is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]]. | The '''escapade comma''', ([[monzo]]: {{monzo| 32 -7 -9 }}), is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and seven [[4/3|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]]. | ||
== Temperaments == | == Temperaments == | ||
Temperaments in the [[escapade family]] tempers out this comma. | |||
== Etymology == | |||
The escapade comma seems to have been named by [[Paul Erlich]] in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by [[Carl Lumma]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. | |||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
== Notes == | |||
[[Category:Escapade]] | [[Category:Escapade]] | ||
Revision as of 06:56, 14 May 2023
| Interval information |
reduced subharmonic
The escapade comma, (monzo: [32 -7 -9⟩), is a comma with a size of 9.492 cents. It is the difference between nine just major thirds and seven just perfect fourths, that is, (4/3)7/(5/4)9. This can also be written as (16/15)7/(5/4)2, that is, the difference between a stack of seven 16/15's and 25/16.
Temperaments
Temperaments in the escapade family tempers out this comma.
Etymology
The escapade comma seems to have been named by Paul Erlich in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by Carl Lumma[1].