25/24: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

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

~~| Ratio = 25/24~~

| Color name = yy1, yoyo unison

~~| Monzo = -3 -1 2~~

~~| Cents = 70.67243~~

| Name = classic~~/just~~ chromatic semitone, ~~<br>chroma~~

| Color name =

~~| FJS name = A1<sup>25</sup>~~

| Sound = jid_25_24_pluck_adu_dr220.mp3

| Comma = yes

}}

'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''', 70.672{{cent}}, is the [[superparticular]] ratio which marks the difference between the [[5-limit]] seconds, [[16/15]] and [[10/9]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[9/5]] and [[15/8]]. It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation as an extension of diatonic.

~~'''~~25/24'~~'', the '''classic''' or '''just chromatic semitone'''~~ (~~short: '''chroma'''~~)~~, 70~~.~~672 cents~~, ~~is the [[superparticular]] ratio which marks the difference between~~ the ~~5-limit seconds, [[16/15]] and [[10/9]], [[27/~~25~~]] and [[9~~/~~8]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[16/9]] and [[50/27]], and [[9/5]] and [[15/8]] . It~~ is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[~~81/80~~]] ~~comma~~, ~~it can be used for a complete system of [[5-limit]] notation~~.

== 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.

==~~Approximation~~==

== Temperaments ==

25/24 is ~~very accurately approximated by 17edo~~'~~s 1\17 (70~~.~~588¢). In fact~~, the interval ~~that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the~~ [[~~septendecima~~]], ~~only 1~~.~~428¢ in size~~.

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.

~~==Temperaments==~~

== See also ==

If 25/24 is treated as a comma to be tempered out, you remove the distinction between major and minor thirds and get only a single neutral interval in their place as in [[dicot family]], and edos like [[10edo]] or [[17edo]].

==See also==

* [[36/25]] – its [[fifth complement]]

*[[48/25]] – its [[octave complement]]

* [[48/25]] – its [[octave complement]]

*[[~~Dicot family~~]]~~, where it is tempered out~~

* [[Sqrt(25/24)]] – its exact half

*[[Gallery of just intervals]]

* [[Gallery of just intervals]]

*[[Medium comma]]

* [[Medium comma]]

*[[List of superparticular intervals]]

* [[List of superparticular intervals]]

*[[~~Chroma~~]] – a generalising concept for [[~~MOS~~]] ~~scales~~

* [[Chromatic semitone]] – a generalising concept for the [[5L 2s|diatonic]] scale

*[[~~2187/2048~~]] – ~~the Pythagorean chromatic semitone~~

* [[Chroma]] – a generalising concept for all [[mos]] scales

~~[[Category:5-limit]]~~

[[Category:Chroma]]

~~[[Category:Interval ratio]]~~

[[Category:Semitone]]

[[Category:Third tone]]

[[Category:~~Superparticular~~]]

[[Category:Dicot]]

[[Category:~~Pages with internal sound examples~~]]

[[Category:Commas named for how they divide the fifth]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, dicot comma
-| Ratio = 25/24
+| Color name = yy1, yoyo unison
-| Monzo = -3 -1 2
-| Cents = 70.67243
-| Name = classic/just chromatic semitone, <br>chroma
-| Color name =
-| FJS name = A1<sup>25</sup>
 | Sound = jid_25_24_pluck_adu_dr220.mp3
+| Comma = yes
 }}
+'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''', 70.672{{cent}}, is the [[superparticular]] ratio which marks the difference between the [[5-limit]] seconds, [[16/15]] and [[10/9]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[9/5]] and [[15/8]]. It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation as an extension of diatonic.
-'''25/24''', the '''classic''' or '''just chromatic semitone''' (short: '''chroma'''), 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit seconds, [[16/15]] and [[10/9]], [[27/25]] and [[9/8]], thirds, [[6/5]] and [[5/4]], sixths, [[8/5]] and [[5/3]], and sevenths, [[16/9]] and [[50/27]], and [[9/5]] and [[15/8]] . It is therefore the amount which sharpens or flattens a 5-limit second, third, sixth, or seventh, and when notating 5-limit just intonation it can be associated with the sharp or flat symbol, and along with an additional symbol for the [[81/80]] comma, it can be used for a complete system of [[5-limit]] notation.
+== 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.
-==Approximation==
+== Temperaments ==
-/24 is very accurately approximated by 17edo's 1\17 (70.588¢). In fact, the interval that results from stacking seventeen 25/24 chromatic semitones reduced by an octave is the [[septendecima]], only 1.428¢ in size.
+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.
-==Temperaments==
+== See also ==
-If 25/24 is treated as a comma to be tempered out, you remove the distinction between major and minor thirds and get only a single neutral interval in their place as in [[dicot family]], and edos like [[10edo]] or [[17edo]].
-==See also==
 * [[36/25]] – its [[fifth complement]]
-*[[48/25]] – its [[octave complement]]
+* [[48/25]] – its [[octave complement]]
-*[[Dicot family]], where it is tempered out
+* [[Sqrt(25/24)]] – its exact half
-*[[Gallery of just intervals]]
+* [[Gallery of just intervals]]
-*[[Medium comma]]
+* [[Medium comma]]
-*[[List of superparticular intervals]]
+* [[List of superparticular intervals]]
-*[[Chroma]] – a generalising concept for [[MOS]] scales
+* [[Chromatic semitone]] – a generalising concept for the [[5L 2s|diatonic]] scale
-*[[2187/2048]] – the Pythagorean chromatic semitone
+* [[Chroma]] – a generalising concept for all [[mos]] scales
-[[Category:5-limit]]
 [[Category:Chroma]]
-[[Category:Interval ratio]]
 [[Category:Semitone]]
 [[Category:Third tone]]
-[[Category:Superparticular]]
+[[Category:Dicot]]
-[[Category:Pages with internal sound examples]]
+[[Category:Commas named for how they divide the fifth]]