There are many conceivable ways to map 46edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
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Unfortunately the Leapday diatonic scale makes basic 5-limit minor and major intervals complex, and with this mapping they are awkward to play. (For example, reaching 5/4 using only sharps and flats would require a triply-augmented unison, such as C–C𝄪♯ or C to C triple sharp).
Rodan
The Rodan mapping has a slightly wider range and is probably more intuitive, but has the disadvantage of skipping a chroma on some of the transitions between columns, making it impossible to play the full gamut of each octave, and each octave is substantially higher up on the keyboard.
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The expanded mapping fixes this, but now the chroma goes diagonally down, requiring an adjustment of playing style when doing chromatic runs.
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Sensi
The Lumatone mapping for sensi is another option that makes 5-limit chords fairly easy to play, although it has a slightly smaller range (just under 4⅛ octaves, with the octaves sloping downwards gently).
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Bison (Porwell + Sensi)
Related to Sensi, Bryan Deister has demonstrated a 6L 2s (6:5 step ratio) Bison mapping for 46edo in 46edo improv (2025), with Bison being the intersection of Porwell with Sensi. The (rightward) generator for this is 6\46, which is a near-just septimal neutral second ~35/32, and two of them yield a near-just (barely flat) classic major third ~6/5 (the Porwell comma 6144/6125 is tempered out). The range is just over 4⅓ octaves with no missing notes (slightly more than for the Sensi mapping above) and some repeats to mitigate vertical wraparounds, and the octaves are almost level (with a slight upward slope). Also, the chroma goes up instead of down, which may be appealing for some users.
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Amity
The Lumatone mapping for Amity is a good compromise between these, since it provides an even heptatonic scale, making the full gamut playable, puts 5-limit minor and major chords within easy reach, and has the chroma going in the correct direction. Bryan Deister demonstrates this in 46edo waltz (2025).
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Echidnic
The Echidnic mapping does even better than Amity, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.
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