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]].

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.

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.

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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 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.
 {{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.