50/49: Difference between revisions

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| ja =

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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]].

{{Infobox Interval

| JI glyph =

| Ratio = 50/49

| Monzo = 1 0 2 -2

| Cents = 34.97561

| Name = jubilisma, <br>septimal sixth-tone, <br>tritonic diesis

| Color name =

| FJS name =

| Sound =

}}

'''50/49''' , the '''jubilisma''' (also '''septimal sixth-tone''' or '''tritonic diesis''') 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 ==

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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]].
+{{Infobox Interval
+| JI glyph =
+| Ratio = 50/49
+| Monzo = 1 0 2 -2
+| Cents = 34.97561
+| Name = jubilisma, <br>septimal sixth-tone, <br>tritonic diesis
+| Color name =
+| FJS name =
+| Sound =
+}}
+'''50/49''' , the '''jubilisma''' (also '''septimal sixth-tone''' or '''tritonic diesis''') 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 ==