50/49: Difference between revisions

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{{~~interwiki~~

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== Temperaments ==

[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the 2.5.7 subgroup, this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''.

[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the [[2.5.7 subgroup]], this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''. In the full 7-limit, this comma further equates [[15/14]] and [[21/20]] and enables all the [[jubilismic chords]].

''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:

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Equal temperaments tempering out 50/49 include [[12edo]], [[22edo]], [[26edo]], [[38edo]], [[48edo]], and [[54edo]].

== Approximations ==

== Etymology ==

The name ''jubilisma'' is likely a reference to the 50-year biblical jubilee cycle.

== See also ==

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[[Category:Jubilismic]]

[[Category:Commas ~~with unknown etymology~~]]

[[Category:Commas referencing a famous use of a number]]

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-{{interwiki
+{{Interwiki
+| en = 50/49
 | de = 50/49
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 == Temperaments ==
-[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the 2.5.7 subgroup, this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''.
+[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the [[2.5.7 subgroup]], this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''. In the full 7-limit, this comma further equates [[15/14]] and [[21/20]] and enables all the [[jubilismic chords]].
 ''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:
@@ Line 32: / Line 32: @@
 Equal temperaments tempering out 50/49 include [[12edo]], [[22edo]], [[26edo]], [[38edo]], [[48edo]], and [[54edo]].
+== Approximations ==
+{{Interval edo approximation|min_edo=12}}
+== Etymology ==
+The name ''jubilisma'' is likely a reference to the 50-year biblical jubilee cycle.
 == See also ==
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 [[Category:Jubilismic]]
-[[Category:Commas with unknown etymology]]
+[[Category:Commas referencing a famous use of a number]]