25/24: Difference between revisions

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{{interwiki

| de = 25/24

| en = 25/24

| es =

| ja =

}}

{{Infobox Interval

| Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, dicot comma

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== Approximation ==

25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.~~428~~{{cent}} in size.

25/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}), though 17edo does not represent it as such, actually [[tempering out]] 25/24 by [[patent val]] (though [[34edo]] represents it as 1\17 consistently). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.431{{cent}} in size.

== Temperaments ==

If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] ~~temperament~~, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.

If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] [[exotemperament]], where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.

== See also ==

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+{{interwiki
+| de = 25/24
+| en = 25/24
+| es =
+| ja =
+}}
 {{Infobox Interval
 | Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, dicot comma
@@ Line 8: / Line 14: @@
 == Approximation ==
-/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428{{cent}} in size.
+/24 is very accurately approximated by [[17edo]]'s 1\17 (70.588{{cent}}), though 17edo does not represent it as such, actually [[tempering out]] 25/24 by [[patent val]] (though [[34edo]] represents it as 1\17 consistently). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.431{{cent}} in size.
- {{Interval_Edo_Approximation | 25/24}}
+{{Interval edo approximation|25/24}}
 == Temperaments ==
-If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] temperament, where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.
+If 25/24 is treated as a comma to be tempered out, it may be called the '''dicot comma'''. Doing so leads to the [[dicot]] [[exotemperament]], where the distinction between 5-limit major and minor thirds are removed and there is only a single neutral interval functioning as both, as in [[7edo]], [[10edo]], and [[17edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.
 == See also ==