1625/1617

From Xenharmonic Wiki
(Redirected from Sopreisma)
Jump to navigation Jump to search
Interval information
Ratio 1625/1617
Factorization 3-1 × 53 × 7-2 × 11-1 × 13
Monzo [0 -1 3 -2 -1 1
Size in cents 8.544047¢
Name sopreisma
Color name 3o1urry3-2, tholururutriyo comma
FJS name [math]\text{d}{-2}^{5,5,5,13}_{7,7,11}[/math]
Special properties reduced
Tenney height (log2 nd) 21.3253
Weil height (log2 max(n, d)) 21.3324
Wilson height (sopfr(nd)) 56
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.85341 bits
Comma size small
open this interval in xen-calc

1625/1617, is a 13-limit (3.5.7.11.13 subgroup) small comma of 8.544 ¢. It is the difference between 25/21 and 77/65 and between 3125/3087, 275/273, and 847/845. 1625/1617 is tempered out by 13, 26, 32, 39, 71, and 114 EDT, by 12f, 19, 27e, 29, 41, 53, 72, 80, and 94 EDO, and by remus and suhail temperaments, as well as the b13 & b39 temperament also tempering out 245/243 and 275/273.