Revision as of 01:21, 27 July 2026 by Lucius Chiaraviglio(talk | contribs)(Add section headings for the different Neutral Thirds mappings, and add another one from Bryan Deister; also give more specific date for a demo video because now 2 different demo videos have the same name)
3L 4s and 1L 7s (like Lumatone mapping for neutral thirds scales)
An alternative arrangement derived from a Lumatone mapping for neutral thirds scales has about the same range as diatonic (with scales 3L 4s and 1L 7s, both having a 3:2 step ratio), 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). Bryan Deister demonstrates this mapping in 17edo groove (2026).
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5L 1s and 3L 4s (like Lumatone manual mapping for 24edo)
It is possible to compress neutral thirds for 17edo down to a 1L 3s scale with a 7:5 step ratio, (or with a bit of backtracking, 4L 1s with a 5:2 step ratio), as shown in Bryan Deister's 17edo improv (2026-07-21). The octaves slope downwards gently, with the range including eleven complete octaves (although it appears less in the demo video due to mapping to just one MIDI channel), making it tempting to divide this layout horizontally into zones for different instruments.
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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 (202512-19). 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.
