50/49: Difference between revisions
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{{Wikipedia|Septimal third tone #Septimal sixth tone}} | {{Wikipedia|Septimal third tone #Septimal sixth tone}} | ||
'''50/49''', the '''small septimal diesis''' (a.k.a. '''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 = ( | '''50/49''', the '''small septimal diesis''' (a.k.a. '''small septimal sixth-tone''' or '''septimal tritonic diesis'''), is a [[7-limit]] [[medium comma]] equal to {{nowrap| 50/49 = ([[10/7]])/([[7/5]]) }}. 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) }}. | ||
== Temperaments == | == Temperaments == | ||
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== Approximations == | == Approximations == | ||
{{ | {{Interval edo approximation|min_edo=12}} | ||
== Etymology == | |||
The name ''jubilisma'' is likely a reference to the 50-year biblical jubilee cycle. | |||
== See also == | == See also == | ||
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[[Category:Jubilismic]] | [[Category:Jubilismic]] | ||
[[Category:Commas | [[Category:Commas referencing a famous use of a number]] | ||