Lumatone mapping for 23edo: Difference between revisions

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{{Lumatone mapping intro}} The flat fifth is slightly closer, however, which produces this layout:

== Antidiatonic ==

The flat fifth is slightly closer, however, which produces this layout:

However, as 23edo is a [[mavila]] temperament, its best fifths are both quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size. The first harmonics that are decently tuned are 9, 13, 15, 17, and 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with −3 generators.

However, as 23edo is a [[mavila]] temperament, its best fifths are both quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size.

== Sephiroth ==

The first harmonics that are decently tuned are 9, 13, 15, 17, and 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with −3 generators.

== A-Team ==

Also quite effective is the [[Subgroup_temperaments#A-team|A-~~team~~]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.

Also quite effective is the [[Subgroup_temperaments#A-team|A-Team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.

@@ Line 1: / Line 1: @@
-{{Lumatone mapping intro}} The flat fifth is slightly closer, however, which produces this layout:
+{{Lumatone mapping intro}}
+== Antidiatonic ==
+The flat fifth is slightly closer, however, which produces this layout:
 {{Lumatone EDO mapping|n=23|start=13|xstep=3|ystep=1}}
-However, as 23edo is a [[mavila]] temperament, its best fifths are both quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size. The first harmonics that are decently tuned are 9, 13, 15, 17, and 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with −3 generators.
+However, as 23edo is a [[mavila]] temperament, its best fifths are both quite dissonant and the chromatic semitone goes in the opposite direction to usual. In fact, all 4 of its first prime harmonics are tuned almost as badly as is possible with its step size.
+== Sephiroth ==
+The first harmonics that are decently tuned are 9, 13, 15, 17, and 21. The most efficient way to reach these is the [[sephiroth]] mapping, which forms a neat 16:17:21:26:32 chord with −3 generators.
 {{Lumatone EDO mapping|n=23|start=6|xstep=7|ystep=-5}}
+== A-Team ==
-Also quite effective is the [[Subgroup_temperaments#A-team|A-team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.
+Also quite effective is the [[Subgroup_temperaments#A-team|A-Team]] mapping, which turns the harmonic sequence 16:18:21 and its inversion into easy to play consonant cluster chords.
 {{Lumatone EDO mapping|n=23|start=20|xstep=5|ystep=-1}}
 {{Navbox Lumatone}}