50/49: Difference between revisions
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The '''septimal sixth-tone''' or '''jubilisma''', '''50/49''', 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 [https://en.wikipedia.org/wiki/Septimal_sixth-tone Septimal sixth-tone - Wikipedia]'' | |||
[ | [[Category:comma]] | ||
[[Category: | [[Category:Definition]] | ||
[[Category: | [[Category:Interval]] | ||
[[Category: | [[Category:Jubilisma]] | ||
[[Category: | [[Category:Ratio]] | ||
[[Category:Superparticular]] | |||
Revision as of 15:37, 25 October 2018
The septimal sixth-tone or jubilisma, 50/49, 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 Septimal sixth-tone - Wikipedia