343edo: Difference between revisions

Line 105:

''Scales listed below are rotated to modes with lots of consonances.''

; MOS scales

=== MOS scales ===

* Amity[7]: 52 52 45 52 45 52 45

* Amity[11]: 45 7 45 45 7 45 7 45 45 7 42

Line 115:

* Amity[99]: 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3

; Scales approximated from JI

=== Gordon Wery's 23-tone MOS ===

A 23-tone [[MOS scale]] discovered by [[Gordon Wery]] in October 2025:

* 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13

It is very similar to [[23edo]] and can be used as a [[well temperament]] of 23edo.

In his post on Discord describing it, Wery said of the scale:

"''Basically a more complicated version of 23edo, centered around a more minor (less neutral) anti-diatonic scale.

This scale has a sort of glassy quality, ample neutral seconds, and two sets of dual fifths--a true dual dual fifth scale.''"

It is [[generator|generated]] by 30\343.

=== Scales approximated from JI ===

* [[4 of 7-17-19-21-51 pentany]]: 96 50 55 96 46 (sounds like minor pentatonic)

* [[4 of 7-17-19-21-51 by 3/2 tetrapentany]]: 3 9 46 4 34 21 29 8 47 3 9 46 38 46

Line 125:

Line 139:

* [[72afdo]]: 5 6 5 5 4 5 5 5 5 4 5 5 4 5 4 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 7 7 6 7 6 7 6 6 6 6 6 6 6 6 6 5 6 5 6 5 6 5 5 5

; 343ed16

=== 343ed16 ===

''343ed16'' is contained within 343edo (it is every 4th step of 343edo). It is like [[86edo]] with the [[octave stretching|octave stretched]] by 3.5 [[cents]].

@@ Line 105: / Line 105: @@
 ''Scales listed below are rotated to modes with lots of consonances.''
-; MOS scales
+=== MOS scales ===
 * Amity[7]: 52 52 45 52 45 52 45
 * Amity[11]: 45 7 45 45 7 45 7 45 45 7 42
@@ Line 115: / Line 115: @@
 * Amity[99]: 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3
-; Scales approximated from JI
+=== Gordon Wery's 23-tone MOS ===
+A 23-tone [[MOS scale]] discovered by [[Gordon Wery]] in October 2025:
+* 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13 17 13
+It is very similar to [[23edo]] and can be used as a [[well temperament]] of 23edo.
+In his post on Discord describing it, Wery said of the scale:
+"''Basically a more complicated version of 23edo, centered around a more minor (less neutral) anti-diatonic scale.
+This scale has a sort of glassy quality, ample neutral seconds, and two sets of dual fifths--a true dual dual fifth scale.''"
+It is [[generator|generated]] by 30\343.
+=== Scales approximated from JI ===
 * [[4 of 7-17-19-21-51 pentany]]: 96 50 55 96 46 (sounds like minor pentatonic)
 * [[4 of 7-17-19-21-51 by 3/2 tetrapentany]]: 3 9 46 4 34 21 29 8 47 3 9 46 38 46
@@ Line 125: / Line 139: @@
 * [[72afdo]]: 5 6 5 5 4 5 5 5 5 4 5 5 4 5 4 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4 3 7 7 6 7 6 7 6 6 6 6 6 6 6 6 6 5 6 5 6 5 6 5 5 5
-; 343ed16
+=== 343ed16 ===
 ''343ed16'' is contained within 343edo (it is every 4th step of 343edo). It is like [[86edo]] with the [[octave stretching|octave stretched]] by 3.5 [[cents]].