Escapade comma: Difference between revisions
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Fixed typo. ssp^94 would be very different. |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 4294967296/4271484375 | |||
| Monzo = 32 -7 -9 | | Monzo = 32 -7 -9 | ||
| Name = escapade comma | | Name = escapade comma | ||
| Color name = ssg<sup>9</sup>4, sasa-tritrigu 4th | |||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''escapade comma''' | The '''escapade comma''' ({{monzo|legend=1| 32 -7 -9 }}) is a [[small comma|small]] [[5-limit]] [[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 (5/3)/(16/15)<sup>8</sup>, that is, the difference between a stack of eight [[16/15|classic diatonic semitones]] and a [[5/3|classic major sixth]]. In terms of commas, it is equal to two [[128/125|lesser dieses]] minus three [[81/80|syntonic commas]] and one [[15625/15552|kleisma]], that is, (128/125)<sup>2</sup>/((15625/15552)(81/80)<sup>3</sup>). | ||
== 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>. | |||
== Notes == | |||
[[Category:Escapade]] | [[Category:Escapade]] | ||
[[Category:Commas named following events]] |