50/49: Difference between revisions
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'''50/49''' , the '''jubilisma''' (also '''septimal sixth-tone''' or '''tritonic diesis''') | {{Infobox Interval | ||
| JI glyph = | |||
| Ratio = 50/49 | |||
| Monzo = 1 0 2 -2 | |||
| Cents = 34.97561 | |||
| Name = jubilisma, <br>septimal sixth-tone, <br>tritonic diesis | |||
| Color name = | |||
| FJS name = | |||
| Sound = | |||
}} | |||
'''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]]. | |||
== See also == | == See also == | ||
Revision as of 15:00, 8 November 2020
| Interval information |
septimal sixth-tone,
tritonic diesis
reduced
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.