50/49: Difference between revisions

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'''50/49''', ~~also known as~~ the '''~~small septimal sixth-tone~~''', '''small septimal ~~diesis~~''', '''septimal tritonic diesis'''~~, or '''jubilisma''',~~ 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]]).

'''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, 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:

* ([[36/35]])/(50/49) = [[126/125]]

* ([[45/44]])/(50/49) = [[441/440]]

@@ Line 12: / Line 12: @@
 {{Wikipedia|Septimal third tone#Septimal sixth tone}}
-'''50/49''', also known as the '''small septimal sixth-tone''', '''small septimal diesis''', '''septimal tritonic diesis''', or '''jubilisma''', 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&nbsp;=&nbsp;([[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, 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:
 * ([[36/35]])/(50/49) = [[126/125]]
 * ([[45/44]])/(50/49) = [[441/440]]