25/24: Difference between revisions

Line 1:

{{Infobox Interval

| Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, ~~chroma~~

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

| Color name = yy1, yoyo unison

| Sound = jid_25_24_pluck_adu_dr220.mp3

Line 6:

}}

'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''' ~~(short: '''chroma''')~~, 70.672{{cent}}, 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.

'''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]], [[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 ==

Line 12:

== Temperaments ==

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~~.

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 major and minor thirds are removed and get only a single neutral interval in their place, as in [[7edo]] and [[10edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.

==See also==

== See also ==

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

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

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

* [[Gallery of just intervals]]

* [[Medium comma]]

* [[List of superparticular intervals]]

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

* [[Chromatic semitone]] – a generalising concept for the [[diatonic]] scale

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

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

* [[Sqrt(25/24)]] – its exact half

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, chroma
+| Name = just chromatic semitone, classic(al) chromatic semitone, diptolemaic chromatic semitone, dicot comma
 | Color name = yy1, yoyo unison
 | Sound = jid_25_24_pluck_adu_dr220.mp3
@@ Line 6: / Line 6: @@
 }}
-'''25/24''', the '''just chromatic semitone''', '''classic(al) chromatic semitone''' or '''diptolemaic chromatic semitone''' (short: '''chroma'''), 70.672{{cent}}, 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.
+'''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]], [[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 ==
@@ Line 12: / Line 12: @@
 == Temperaments ==
-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.
+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 major and minor thirds are removed and get only a single neutral interval in their place, as in [[7edo]] and [[10edo]]. See [[dicot family]] for the rank-2 family where it is tempered out.
-==See also==
+== See also ==
 * [[36/25]] – its [[fifth complement]]
 * [[48/25]] – its [[octave complement]]
-* [[Dicot family]], where it is tempered out
 * [[Gallery of just intervals]]
 * [[Medium comma]]
 * [[List of superparticular intervals]]
-* [[Chroma]] – a generalising concept for [[MOS]] scales
+* [[Chromatic semitone]] – a generalising concept for the [[diatonic]] scale
-* [[2187/2048]] – the Pythagorean chromatic semitone
+* [[Chroma]] – a generalising concept for all [[mos]] scales
 * [[Sqrt(25/24)]] – its exact half