Lumatone mapping for 60edo

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There are many conceivable ways to map 60edo onto the onto the Lumatone keyboard. However, it has 5 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. Since it is highly composite, many other mappings will also fail to cover the whole gamut. Due to the very large number of notes, even those that do will have limited range.

Magic

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 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.

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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.

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

Bryan Deister has demonstrated a 4L 2s (11:8 step ratio) mapping for 60edo, in 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.)

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Amity

The Lumatone mapping for Amity also suffers from chroma skips between most columns unless expanded outwards from the 4L 3s mapping to the 7L 4s one, which also makes octaves further apart vertically.

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Other mappings

Other possible mappings include bleu and tritonic, but it is the fifive mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.

Bleu

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Tritonic

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Fifive

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