Rainy comma: Difference between revisions

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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]]).


'''2100875/2097152''', the '''rainy comma''', is a 7-limit [[unnoticeable comma]] of about 3.07{{cent}}. It is the amount by which three [[5/4]]s fall short of five [[8/7]]s, i.e. the amount by which [[16807/16384]] exceeds [[128/125]]. It is tempered out by [[31edo]] and [[171edo]]. It factors into ([[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]]