Rainy comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Fredg999 (talk | contribs)
m "a.k.a." is not fitting here
BudjarnLambeth (talk | contribs)
mNo edit summary
 
(4 intermediate revisions by 2 users not shown)
Line 6: Line 6:
}}
}}


'''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 notable tunings such as [[31edo]], [[94edo]], [[109edo]], [[140edo]], [[171edo]] and even [[311edo]]. It factors into ([[2401/2400]])([[65625/65536]]).
 
== Temperaments ==
See [[rainy]].
 
[[Category:Commas with unknown etymology]]

Latest revision as of 07:59, 3 November 2024

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 height (log2 nd) 42.0026
Weil height (log2 max(n, d)) 42.0051
Wilson height (sopfr(nd)) 92
Comma size unnoticeable
Open this interval in xen-calc

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.