50/49

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
Color name	rryy-2, biruyo negative 2nd, Biruyo comma
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
Comma size	medium
S-expression	S5/S7
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English Wikipedia has an article on:

Septimal third tone#Septimal sixth tone

50/49, the jubilisma (also septimal sixth-tone or tritonic diesis) is a 7-limit medium comma. It 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.

See also

• Jubilismic family
• Jubilismic clan
• List of superparticular intervals