Lumatone mapping for 60edo: Difference between revisions

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For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025-05-16), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.

The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.

== Biyatismic family rank-3 variant with Magic (Witchcraft) generator ==

[[Bryan Deister]] has demonstrated a [[4L 2s]] (11:8 step ratio) mapping for [[60edo]], in [https://www.youtube.com/shorts/VA_P26_3dTk ''60edo improv''] (2025-11-22). The rightward generator 8\60e functions as both a sharp undecimal neutral second ~[[12/11]] and a somewhat flat undecimal submajor second ~[[11/10]] — the biyatisma [[121/120]] is tempered out. However, 8 is not co-prime with 60, so an additional generator is needed; for this, the right + down-right generator 9\60e works nicely as a somewhat flat classic major third ~[[5/4]], as in [[Magic]], specifically [[Witchcraft]] due to use of the 60e val. Indeed, the 60e version of the undecimal major fourth ~[[11/8]] is easily accessible as two keys right and one key down-right, while the accessing the patent val version requires moving four keys left from the next root note one octave up. This classic major third second generator even stands fine on its own for rank-2 temperament purposes, but it is hard to pass up the convenience of the single key rightward generator 8\60e. This mapping misses some notes in each octave (due to trying to get over five octaves of range on a standard-sized Lumatone), with the octaves sloping severely downwards, and has a reverse chroma; but on the other hand, common consonant intervals are easily accessible from the root note as long as not cut by a vertical wraparound. (Note that in the demo video, the MIDI note numbers are offset by +1 relative to the layout chosen here to maximize note 0 to note 0 octaves.)

== Amity ==

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 For example, the [[magic]] mapping needs to be expanded to the [[3L&nbsp;13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025-05-16), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.
 {{Lumatone EDO mapping|n=60|start=57|xstep=7|ystep=-3}}
 The [[3L&nbsp;10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.
 {{Lumatone EDO mapping|n=60|start=44|xstep=10|ystep=-3}}
+== Biyatismic family rank-3 variant with Magic (Witchcraft) generator ==
+[[Bryan Deister]] has demonstrated a [[4L&nbsp;2s]] (11:8 step ratio) mapping for [[60edo]], in [https://www.youtube.com/shorts/VA_P26_3dTk ''60edo improv''] (2025-11-22). The rightward generator 8\60e functions as both a sharp undecimal neutral second ~[[12/11]] and a somewhat flat undecimal submajor second ~[[11/10]] &mdash; the biyatisma [[121/120]] is tempered out. However, 8 is not co-prime with 60, so an additional generator is needed; for this, the right + down-right generator 9\60e works nicely as a somewhat flat classic major third ~[[5/4]], as in [[Magic]], specifically [[Witchcraft]] due to use of the 60e val.  Indeed, the 60e version of the undecimal major fourth ~[[11/8]] is easily accessible as two keys right and one key down-right, while the accessing the patent val version requires moving four keys left from the next root note one octave up. This classic major third second generator even stands fine on its own for rank-2 temperament purposes, but it is hard to pass up the convenience of the single key rightward generator 8\60e. This mapping misses some notes in each octave (due to trying to get over five octaves of range on a standard-sized Lumatone), with the octaves sloping severely downwards, and has a reverse chroma; but on the other hand, common consonant intervals are easily accessible from the root note as long as not cut by a vertical wraparound. (Note that in the demo video, the MIDI note numbers are offset by +1 relative to the layout chosen here to maximize note 0 to note 0 octaves.)
+{{Lumatone EDO mapping|n=60|start=27|xstep=8|ystep=3}}
 == Amity ==