Rainy comma
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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]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.2858 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.