50/49: Difference between revisions
Restore "jubilisma" as the main name Tag: Undo |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 14: | Line 14: | ||
'''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, {{nowrap| 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, {{nowrap| 50/49 = ([[10/7]])/([[7/5]]) }}. | ||
It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct, but it ''can'' be equated with other commas; for example: | |||
* ([[36/35]])/(50/49) = [[126/125]] | * ([[36/35]])/(50/49) = [[126/125]] | ||
* ([[45/44]])/(50/49) = [[441/440]] | * ([[45/44]])/(50/49) = [[441/440]] | ||