Lumatone mapping for 17edo

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Revision as of 10:47, 1 March 2026 by Lucius Chiaraviglio (talk | contribs) (Neutral thirds: Fill in description a bit, and add demo video for rotated neutral thirds — and where else can you get a Rick Roll and a Lumatone demo at the same time?)
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There are many conceivable ways to map 17edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

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Neutral thirds

An alternative arrangement derived from a Lumatone mapping for neutral thirds scales has about the same range as diatonic, and has a regular enough pattern of octave position that it just might be possible to finagle triple manuals out of it (although that would be even easier in diatonic with its perfectly straight octaves and almost as much range).

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A rotated version of this, resembling the Lumatone mapping for 24edo given in the official manual has slightly more range than diatonic (at 5½ octaves), and has a regular enough pattern of octave position that it just might be possible to finagle dual manuals out of it, although they would be rather lopsided. Bryan Deister has used this mapping in Never Gonna Give You Up - Rick Astley (microtonal cover in 17edo) (2026).

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Bleu + hemif/hemififths + suhajira

Another mapping having an easily accessible neutral third is Bryan Deister's mapping that supports both an 8L 1s scale, as in bleu temperament and a 7L 3s scale as in hemif/hemififths and suhajira temperaments, in both cases with a 2:1 step ratio, demonstrated in 17edo improv (2025). The bleu generator 2\17 (an augmented unison or neutral second) is very simple in key movements, being one step right from the root note; this functions as flat ~12/11, slightly sharp ~13/12, sharp ~14/13, and slightly flat ~25/23. The generator for the other temperaments is 5\17 (a diminished fourth or neutral third), which corresponds to two keys right plus one key up or (preferably) down-right. The range is just under 3½ octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of bleu (and rearrange the color pattern accordingly), this mapping enables division into three complete middle manuals plus nearly complete top and bottom manuals.

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Squares

To maximise your range while also keeping octaves near horizontal and making chords easy to play, use the squares mapping.

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