Rainy comma: Difference between revisions
m correct wording; i suspect it's the "fall short of" that is causing confusion/making it less intuitive than it should be; this is why i suggest expressing equivalences this way but mathematically (EG in this case itd be (8/7)^5 / (5/4)^3) |
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'''2100875/2097152''', the '''rainy comma''', is an [[unnoticeable comma|unnoticeable]] [[7-limit]] (specifically [[2.5.7 subgroup|2.5.7-subgroup]]) [[comma]] of about 3.07 [[cent]]s. It is the amount by which five [[8/7]]'s fall short of three [[5/4]]'s, i.e. the amount by which [[16807/16384]] exceeds [[128/125]]. It factors into simpler commas as ([[2401/2400]])⋅([[65625/65536]]). | |||
== Temperaments == | |||
[[Tempering out]] this comma in the 2.5.7 subgroup leads to the [[rainy]] temperament, or in the 7-limit an unnamed expansion thereof. It is tempered out by notable tunings such as [[31edo]], [[94edo]], [[109edo]], [[140edo]], [[171edo]] and even [[311edo]]. | |||
== | == Etymology == | ||
This comma was named by [[User:Flirora|+merlan #flirora]] in 2021. | |||
[[Category:Commas with unknown etymology]] | |||