Rainy comma

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Interval information
Ratio 2100875/2097152
Factorization 2-21 × 53 × 75
Monzo [-21 0 3 5
Size in cents 3.0706739¢
Name rainy comma
Color name Quinzotriyo comma
FJS name [math]\text{M2}^{5,5,5,7,7,7,7,7}[/math]
Special properties reduced
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

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.