50/49

Revision as of 15:00, 8 November 2020 by Arseniiv (talk | contribs) (infoboxified)

50/49 , the jubilisma (also septimal sixth-tone or tritonic diesis) is the only superparticular comma aside from 126/125 which has a numerator which is neither square nor triangular, meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, 50/49 = (10/7)/(7/5). Tempering out equates the two, leading to temperaments where the square root of two does service for both. Equal temperaments tempering out 50/49 include 12edo, 22edo, 26edo, 38edo, 48edo and 54edo.

Interval information
Ratio 50/49
Factorization 2 × 52 × 7-2
Monzo [1 0 2 -2
Size in cents 34.97561¢
Names jubilisma,
septimal sixth-tone,
tritonic diesis
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5}_{7,7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 11.2586
Weil norm (log2 max(n, d)) 11.2877
Wilson norm (sopfr(nd)) 26
Open this interval in xen-calc

See also