Lumatone mapping for 60edo: Difference between revisions
→Magic: Insert Biyatismic family rank-3 variant with Magic (Witchcraft) generator Lumatone mappings after this, starting with Bryan Deister's Lumatone mapping for 60edo |
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{{Lumatone EDO mapping|n=60|start=44|xstep=10|ystep=-3}} | {{Lumatone EDO mapping|n=60|start=44|xstep=10|ystep=-3}} | ||
== Biyatismic family rank-3 variant with Magic (Witchcraft) generator | == 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.) | [[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.) | ||
{{Lumatone EDO mapping|n=60|start=27|xstep=8|ystep=3}} | {{Lumatone EDO mapping|n=60|start=27|xstep=8|ystep=3}} | ||