Rainy comma: Difference between revisions
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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) |
m correction as Aura pointed out i made it wrong |
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'''2100875/2097152''', the '''rainy comma''', is a 7-limit [[unnoticeable comma]] of about 3.07{{cent}}. It is the amount by which five [[8/7]]'s | '''2100875/2097152''', the '''rainy comma''', is a 7-limit [[unnoticeable comma]] of about 3.07{{cent}}. 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 is tempered out by notable tunings such as [[31edo]], [[94edo]], [[109edo]], [[140edo]], [[171edo]] and even [[311edo]]. It factors into ([[2401/2400]])([[65625/65536]]). | ||
== Temperaments == | == Temperaments == | ||
See [[rainy]]. | See [[rainy]]. | ||
Revision as of 19:27, 7 July 2024
| Interval information |
reduced harmonic
2100875/2097152, the rainy comma, is a 7-limit unnoticeable comma of about 3.07 ¢. 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 is tempered out by notable tunings such as 31edo, 94edo, 109edo, 140edo, 171edo and even 311edo. It factors into (2401/2400)(65625/65536).
Temperaments
See rainy.