50/49: Difference between revisions
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'''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]]. | '''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 == | == See also == | ||