There are many conceivable ways to map 33edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
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Terrain
While 33edo is poor at approximating harmonics in general, it does manage several composite ratios within fractions of a cent. The terrain mapping is a particularly efficient way to make those easy to play together.
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Semiquartal
To maximise your range while keeping octaves near horizontal, use the 4L 1s layout.
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Augmented (Triforce) + Bohpier Lumatone mappings
Bryan Deister has demonstrated two mappings for 33edo that function for the temperaments Augmented (Triforce, 33d val, 3L 3s scale with 7:4 step ratio) and Bohpier (33cd val, 8L 1s scale with 4:1 step ratio). The down-right (forward chroma version) or rightward (reverse chroma version) generator is a somewhat flat Alpharabian tendoneutral second ~12/11 which can be stacked to get several consonant intervals; however, some of them map inconsistently. Two of these generators make a near-just neogothic minor third ~13/11, mapped consistently. Three of these generators make a near-just septimal major third ~9/7 by sound, but the mapping only works if 9/7 is constituted as (3♭ × 3♯) ÷ 7 or as 9 ÷ 7♭ (33d val). Four of these generators make a near-just lesser septimal tritone ~7/5, mapped consistently (patent val or 33cd val). Six of these generators make a flat classic major sixth ~5/3 by sound, but the mapping only works if 5/3 is constituted as 5♭ ÷ 3 (33c val). Seven of these generators make a near-just classic minor seventh ~9/5 by sound, but the mapping only works if 9/5 is constituted as (3♭ × 3♯) ÷ 5 or as 9 ÷ 5♭ (33c val). The range is a bit over six octaves in the forward chroma version or five octaves in the reverse chroma version; in both cases, the octaves slope moderately downwards resulting in a vertical wraparound.
Forward chroma
Demonstrated in 33edo riff (2025).
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Reverse chroma
Demonstrated in 33edo jam (2025).
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