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]]). | |||
== 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]] | |||
Latest revision as of 12:17, 2 July 2026
| Interval information |
reduced harmonic
2100875/2097152, the rainy comma, is an unnoticeable 7-limit (specifically 2.5.7-subgroup) comma of about 3.07 cents. 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 +merlan #flirora in 2021.