Rainy comma: Difference between revisions

Interval information
Ratio	2100875/2097152
Factorization	2-21 × 53 × 75
Monzo	[-21 0 3 5⟩
Size in cents	3.070674¢
Name	rainy comma
Color name	Quinzotriyo comma
FJS name	[math]\displaystyle{ \text{M2}^{5,5,5,7,7,7,7,7} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	42.0026
Weil norm (log2 max(n, d))	42.0051
Wilson norm (sopfr(nd))	92
Comma size	unnoticeable
	Open this interval in xen-calc

Revision as of 17:38, 7 July 2024

2100875/2097152, the rainy comma, is a 7-limit unnoticeable comma of about 3.07 ¢. It is the amount by which five 8/7s fall short of three 5/4s, 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).

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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 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]]).
+'''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 [[31edo]] and [[171edo]]. It factors into ([[2401/2400]])([[65625/65536]]).
 == Temperaments ==
 See [[rainy]].