Lumatone mapping for 23edo: Difference between revisions

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== Antidiatonic ==

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

The flat fifth is slightly closer, however, which produces the following 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.

== Mavila (Superdiatonic) + Baldy (Amsochromic) ==

Still using the [[23edo]] flat fifth ~[[3/2]] for [[mavila]] temperament, an alternative to the antidiatonic mapping is the superdiatonic mapping, having a [[7L 2s]] scale (3:1 step ratio), with the generator 13\23 being reached by moving four keys right plus one key down-right. This reduces the range from just under five octaves to about 3½ octaves, although it keeps them nearly level — rising gently enough to support division into multiple manuals. It also supports a [[6L 5s]] scale (3:1 step ratio) if the mildly sharp directly-approximated Pythagorean whole tone ~[[9/8]] is used as a generator instead, although this causes the octaves to slope down enough to prevent vertical division into two contiguous manuals; this generator (4\23) is reached by moving one key right plus one key down-right, which is easier than reaching the mavila generator. This mapping is demonstrated on the left Lumatone in {{W|David Wise}}'s [https://www.youtube.com/watch?v=joi8vyChSy4&list=WL&index=266 ''Aquatic Ambience''] (1993 via {{W|Donkey Kong Country}} (1994) – microtonal cover in 23edo by [[Stephen Weigel]] (right) and [[Vito Sicurella]] (left) on Lumatones (2026, from UnTwelve 2025); the color scheme is for the superdiatonic scale, but different between the left and right halves of the layout to represent division into two horizontal zones for different soft synthesizers. This layout is used on the left Lumatone; for the right Lumatone layout, see Oolong (Smitonic) below.

~~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~~.

== Oolong (Smitonic) ==

An alternative for [[23edo]] to using either (highly inaccurate) fifth as a generator is stacking the much more accurate (only slightly flat) classic minor third ~[[6/5]], as in [[oolong]] temperament, having a [[4L 3s]] scale (5:1 step ratio); the generator 6\23 is reached by moving one key right plus one key down-right. This results in a moderate downwards slope of the octaves, but the range is 5¾ octaves, still with a generous allocation of repeated notes to mitigate vertical wraparounds. This mapping is demonstrated on the right Lumatone in {{W|David Wise}}'s [https://www.youtube.com/watch?v=joi8vyChSy4&list=WL&index=266 ''Aquatic Ambience''] (1993 via {{W|Donkey Kong Country}} (1994) – microtonal cover in 23edo by [[Stephen Weigel]] (right) and [[Vito Sicurella]] (left) on Lumatones (2026, from UnTwelve 2025). This layout is used on the right Lumatone; for the left Lumatone layout, see Mavila (Superdiatonic) + Baldy (Amsochromic) above.

== Sephiroth ==

@@ Line 2: / Line 2: @@
 == Antidiatonic ==
-The flat fifth is slightly closer, however, which produces this layout:
+The flat fifth is slightly closer, however, which produces the following 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.
 {{Lumatone EDO mapping|n=23|start=13|xstep=3|ystep=1}}
+== Mavila (Superdiatonic) + Baldy (Amsochromic) ==
+Still using the [[23edo]] flat fifth ~[[3/2]] for [[mavila]] temperament, an alternative to the antidiatonic mapping is the superdiatonic mapping, having a [[7L&nbsp;2s]] scale (3:1 step ratio), with the generator 13\23 being reached by moving four keys right plus one key down-right. This reduces the range from just under five octaves to about 3½ octaves, although it keeps them nearly level &mdash; rising gently enough to support division into multiple manuals. It also supports a [[6L&nbsp;5s]] scale (3:1 step ratio) if the mildly sharp directly-approximated Pythagorean whole tone ~[[9/8]] is used as a generator instead, although this causes the octaves to slope down enough to prevent vertical division into two contiguous manuals; this generator (4\23) is reached by moving one key right plus one key down-right, which is easier than reaching the mavila generator. This mapping is demonstrated on the left Lumatone in {{W|David Wise}}'s [https://www.youtube.com/watch?v=joi8vyChSy4&list=WL&index=266 ''Aquatic Ambience''] (1993 via {{W|Donkey Kong Country}} (1994) – microtonal cover in 23edo by [[Stephen Weigel]] (right) and [[Vito Sicurella]] (left) on Lumatones (2026, from UnTwelve 2025); the color scheme is for the superdiatonic scale, but different between the left and right halves of the layout to represent division into two horizontal zones for different soft synthesizers. This layout is used on the left Lumatone; for the right Lumatone layout, see Oolong (Smitonic) below.
+{{Lumatone EDO mapping|n=23|start=0|xstep=3|ystep=-2}}
-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.
+== Oolong (Smitonic) ==
+An alternative for [[23edo]] to using either (highly inaccurate) fifth as a generator is stacking the much more accurate (only slightly flat) classic minor third ~[[6/5]], as in [[oolong]] temperament, having a [[4L&nbsp;3s]] scale (5:1 step ratio); the generator 6\23 is reached by moving one key right plus one key down-right. This results in a moderate downwards slope of the octaves, but the range is 5¾ octaves, still with a generous allocation of repeated notes to mitigate vertical wraparounds. This mapping is demonstrated on the right Lumatone in {{W|David Wise}}'s [https://www.youtube.com/watch?v=joi8vyChSy4&list=WL&index=266 ''Aquatic Ambience''] (1993 via {{W|Donkey Kong Country}} (1994) – microtonal cover in 23edo by [[Stephen Weigel]] (right) and [[Vito Sicurella]] (left) on Lumatones (2026, from UnTwelve 2025). This layout is used on the right Lumatone; for the left Lumatone layout, see Mavila (Superdiatonic) + Baldy (Amsochromic) above.
+{{Lumatone EDO mapping|n=23|start=0|xstep=5|ystep=-4}}
 == Sephiroth ==