50/49: Difference between revisions

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~~The~~ '''~~septimal sixth-tone~~''' or '''jubilisma''', '''~~50/49~~''' (34.97561 [[cent]]s), 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]].

'''50/49''' , the '''jubilisma'''(also '''septimal sixth-tone''' or '''tritonic diesis'''), 34.97561 [[cent]]s in size, 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]].

~~:''~~See also [https://en.wikipedia.org/wiki/Septimal_sixth-tone Septimal sixth-tone - Wikipedia]''

== See also ==

* [[Jubilismic family]]

* [https://en.wikipedia.org/wiki/Septimal_sixth-tone Septimal sixth-tone - Wikipedia]

[[Category:Medium comma]]

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-The '''septimal sixth-tone''' or '''jubilisma''', '''50/49''' (34.97561 [[cent]]s), 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]].
+'''50/49''' , the '''jubilisma'''(also '''septimal sixth-tone''' or '''tritonic diesis'''), 34.97561 [[cent]]s in size, 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]].
-:''See also [https://en.wikipedia.org/wiki/Septimal_sixth-tone Septimal sixth-tone - Wikipedia]''
+== See also ==
+* [[Jubilismic family]]
+* [https://en.wikipedia.org/wiki/Septimal_sixth-tone Septimal sixth-tone - Wikipedia]
 [[Category:Medium comma]]