2187/2048: Difference between revisions

Line 1:

~~'''~~2187/2048~~'''~~

{{Infobox Interval

|-11 7~~>~~

| Ratio = 2187/2048

| Monzo = -11 7

| Cents = 113.6850

| Name = Apotome, Pythagorean chromatic semitone

| Sound = jid_2187_2048_pluck_adu_dr220.mp3

| FJS name = A1

}}

113.~~6850 cents~~

The '''apotome''', also known as the '''Pythagorean chromatic semitone''' or the '''Pythagorean major semitone''', is the interval 37/211 = 2187/2048 which is the chromatic semitone in the [[Pythagorean tuning|Pythagorean]] ([[3-limit]]) version of the diatonic scale. Unlike the situation in [[meantone]] tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of [[256/243]]. It measures about 113.7¢ and can be generated by stacking seven [[3/2]] perfect fifths and octave-reducing the resulting interval.

~~[[File:jid_2187_2048_pluck_adu_dr220.mp3]] [[:File:jid_2187_2048_pluck_adu_dr220.mp3|sound sample]]~~

== See also ==

* [[Gallery of Just Intervals]]

~~The ''apotome'',~~ also ~~known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11~~ = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of [[256/243|256/243]]. It measures about 113.7¢ and can be generated by stacking seven [[3/2|3/2]] perfect fifths and octave-reducing the resulting interval.

* [[Large commas]]

~~See:~~ [[~~Gallery_of_Just_Intervals|~~Gallery of Just Intervals]], [[~~Comma|comma~~]]

@@ Line 1: / Line 1: @@
-'''2187/2048'''
+{{Infobox Interval
-|-11 7&gt;
+| Ratio = 2187/2048
+| Monzo = -11 7
+| Cents = 113.6850
+| Name = Apotome, <br>Pythagorean chromatic semitone
+| Sound = jid_2187_2048_pluck_adu_dr220.mp3
+| FJS name = A1
+}}
-.6850 cents
+The '''apotome''', also known as the '''Pythagorean chromatic semitone''' or the '''Pythagorean major semitone''', is the interval 3<sup>7</sup>/2<sup>11</sup> = 2187/2048 which is the chromatic semitone in the [[Pythagorean tuning|Pythagorean]] ([[3-limit]]) version of the diatonic scale. Unlike the situation in [[meantone]] tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of [[256/243]]. It measures about 113.7¢ and can be generated by stacking seven [[3/2]] perfect fifths and octave-reducing the resulting interval.
-[[File:jid_2187_2048_pluck_adu_dr220.mp3]] [[:File:jid_2187_2048_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of Just Intervals]]
-The ''apotome'', also known as the Pythagorean chromatic semitone or the Pythagorean major semitone, is the interval 3^7/2^11 = 2187/2048 which is the chromatic semitone in the Pythagorean (3-limit) version of the diatonic scale. Unlike the situation in meantone tunings, it is larger, not smaller, than the corresponding diatonic semitone, which is the Pythagorean minor second of [[256/243|256/243]]. It measures about 113.7¢ and can be generated by stacking seven [[3/2|3/2]] perfect fifths and octave-reducing the resulting interval.
+* [[Large commas]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[Comma|comma]]