Lumatone mapping for 23edo: Difference between revisions

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~~There are many conceivable ways to map [[23edo]] onto the [[~~Lumatone~~]] keyboard. Only one~~, however, ~~agrees with the [[Standard Lumatone mapping for Pythagorean]].~~

== Antidiatonic ==

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

However, as 23edo is a [[mavila]] temperament, ~~it's~~ best fifths are 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 & 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.

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

== 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 that only require a single finger to hit all three notes.

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-There are many conceivable ways to map [[23edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
+{{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, it's best fifths are 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 & 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}}
-Also quite effective is the [[Subgroup_temperaments#A-team|A-team]] mapping, which turns the harmonic sequence 16:18:21 and it's inversion into easy to play consonant cluster chords.
+== A-Team ==
-{{Lumatone EDO mapping|n=23|start=20|xstep=5|ystep=-1}}
+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 that only require a single finger to hit all three notes.
+{{Lumatone EDO mapping|n=23|start=22|xstep=9|ystep=-4}}
 {{Navbox Lumatone}}