50/49: Difference between revisions

Line 12:

| Name = jubilisma, septimal sixth-tone, tritonic diesis

| Color name =

| FJS name =

| FJS name = d-22549

| 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]].

'''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 ==

* [[Jubilismic family]]

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

* [[Jubilismic clan]]

* [[Medium comma]]

* [[List of superparticular intervals]]

* [[Wikipedia: Septimal sixth-tone]]

[[Category:7-limit]]

[[Category:Medium comma]]

~~[[Category:Definition]]~~

[[Category:Interval]]

~~[[Category:Jubilisma]]~~

[[Category:Ratio]]

[[Category:Superparticular]]

[[Category:Jubilismic]]

@@ Line 12: / Line 12: @@
 | Name = jubilisma, <br>septimal sixth-tone, <br>tritonic diesis
 | Color name =
-| FJS name =
+| FJS name = d-2<sup>25</sup><sub>49</sub>
 | 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]].
+'''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 ==
 * [[Jubilismic family]]
-* [https://en.wikipedia.org/wiki/Septimal_sixth-tone Septimal sixth-tone - Wikipedia]
+* [[Jubilismic clan]]
+* [[Medium comma]]
+* [[List of superparticular intervals]]
+* [[Wikipedia: Septimal sixth-tone]]
+[[Category:7-limit]]
 [[Category:Medium comma]]
-[[Category:Definition]]
 [[Category:Interval]]
-[[Category:Jubilisma]]
 [[Category:Ratio]]
 [[Category:Superparticular]]
+[[Category:Jubilismic]]