50/49: Difference between revisions
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Tristanbay (talk | contribs) Added the ragisma as another 7-limit superparticular interval whose numerator is neither square nor triangular Tags: Mobile edit Mobile web edit |
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{{Wikipedia|Septimal third tone#Septimal sixth tone}} | {{Wikipedia|Septimal third tone#Septimal sixth tone}} | ||
'''50/49''', the '''jubilisma''' (also '''small septimal sixth-tone''' or '''septimal 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 '''septimal tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] 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]]). | ||
''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', however, it ''can'' be equated with other commas; for example: | ''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', however, it ''can'' be equated with other commas; for example: | ||