25/24: Difference between revisions

Line 4:

| Monzo = -3 -1 2

| Cents = 70.67243

| Name = classic chromatic semitone, <br>chroma

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

| Color name =

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

Line 10:

}}

~~The~~ '''classic chromatic semitone''' (short: '''chroma''')~~, '''25/24'''~~, 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit thirds, [[6/5]] and [[5/4]], and sixths, [[8/5]] and [[5/3]]. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, 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 '''classic''' or '''just chromatic semitone''' (short: '''chroma'''), 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit thirds, [[6/5]] and [[5/4]], and sixths, [[8/5]] and [[5/3]]. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, 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.

It 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.

== Approximation ==

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.

== Temperaments ==

If it 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, 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 ==

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[[Category:Semitone]]

[[Category:Third tone]]

~~[[Category:Listen]]~~

[[Category:Superparticular]]

[[Category:Pages with internal sound examples]]

@@ Line 4: / Line 4: @@
 | Monzo = -3 -1 2
 | Cents = 70.67243
-| Name = classic chromatic semitone, <br>chroma
+| Name = classic/just chromatic semitone, <br>chroma
 | Color name =
 | FJS name = A1<sup>25</sup>
@@ Line 10: / Line 10: @@
 }}
-The '''classic chromatic semitone''' (short: '''chroma'''), '''25/24''', 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit thirds, [[6/5]] and [[5/4]], and sixths, [[8/5]] and [[5/3]]. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, 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 '''classic''' or '''just chromatic semitone''' (short: '''chroma'''), 70.672 cents, is the [[superparticular]] ratio which marks the difference between the 5-limit thirds, [[6/5]] and [[5/4]], and sixths, [[8/5]] and [[5/3]]. It is therefore the amount which sharpens or flattens a 5-limit third or sixth, 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.
-It 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.
+== Approximation ==
+/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.
 == Temperaments ==
-If it 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, 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 ==
@@ Line 32: / Line 33: @@
 [[Category:Semitone]]
 [[Category:Third tone]]
-[[Category:Listen]]
 [[Category:Superparticular]]
+[[Category:Pages with internal sound examples]]