50/49: Difference between revisions
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Cmloegcmluin (talk | contribs) direct triangular number link to definition within the xen wiki, to provide justifiably relevant xen-related information |
m Moving from Category:Medium comma to Category:Medium commas using Cat-a-lot |
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| Line 24: | Line 24: | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Medium | [[Category:Medium commas]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Jubilismic]] | [[Category:Jubilismic]] | ||
{{todo|clarify}} <!-- only superparticular comma... in the 7-limit only, maybe? --> | {{todo|clarify}} <!-- only superparticular comma... in the 7-limit only, maybe? --> | ||
Revision as of 21:53, 20 March 2022
| Interval information |
septimal sixth-tone,
tritonic diesis
reduced
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.