50/49: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = jubilisma, septimal sixth-tone, tritonic diesis | | Name = jubilisma, small septimal sixth-tone, tritonic diesis | ||
| Color name = rryy-2, biruyo negative 2nd,<br>Biruyo comma | | Color name = rryy-2, biruyo negative 2nd,<br>Biruyo comma | ||
| Comma = yes | | Comma = yes | ||
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{{Wikipedia|Septimal third tone#Septimal sixth tone}} | {{Wikipedia|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]] in the 7-limit aside from [[126/125]] which has a numerator which is neither square nor [[triangular number|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]]). | '''50/49''', the '''jubilisma''' (also '''small septimal sixth-tone''' or '''tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] which has a numerator which is neither square nor [[triangular number|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]]). | ||
== Temperaments == | == Temperaments == | ||
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== See also == | == See also == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[49/48]] – the large septimal sixth-tone | |||
[[Category:Jubilismic]] | [[Category:Jubilismic]] | ||
Revision as of 08:29, 13 March 2023
| Interval information |
small septimal sixth-tone,
tritonic diesis
Biruyo comma
reduced
50/49, the jubilisma (also small septimal sixth-tone or tritonic diesis) is a 7-limit medium comma. It is the only superparticular comma in the 7-limit 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).
Temperaments
Tempering out this comma equates the 7/5 with 10/7, its octave complement, leading to temperaments where the square root of two does service for both. See Jubilismic family for the rank-3 family where it is tempered out. See Jubilismic clan for the rank-2 clan where it is tempered out.
Equal temperaments tempering out 50/49 include 12edo, 22edo, 26edo, 38edo, 48edo and 54edo.
See also
- List of superparticular intervals
- 49/48 – the large septimal sixth-tone