There are many conceivable ways to map 69edo onto the onto the Lumatone keyboard. However, the Standard Lumatone mapping for Pythagorean is unable to cover the full gamut of every octave, with both the flat (patent val) and sharp (b val) versions having many skipped notes.
Diatonic
If not for the problem of failing to cove the complete gamut (such as on a hypothetical XL-size Lumatone having at least 345 keys within the span of five octaves), the sharp version would be a respectable mapping for UltraPyth; while the flat version would be a respectable Meantone mapping.
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Despite the missing notes, Bryan Deister has demonstrated the flat fifth (patent val) diatonic mapping in Compass - Mili (microtonal cover in 69edo) (2025).
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Devichromic Octacot + off-beat Ogene
The 6L 3s mapping was originally meant to get as many notes of 69edo as possible onto the space available on existing Lumatones, rather than attempting to fit any particular temperament. However, moving down and right yields 5\69, which maps as 20/19 ~ 21/20 (69edo tempers out 400/399) and can be interpreted as Ogene with the 69bceef val; however, that is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the patent fifth (40\69), making the temperament a Devichromic Octacot (NOT the Octacot of the Tetracot family); no article about Devichromic Octacot temperament is currently available (and even if one was, the temperament would likely get a different permanent name), but an article about Devichromic chords exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~7/6; four of them yield a near-just ~11/9; five of them yield a near-just ~9/7; seven of them yield a mildly flat ~10/7; and nine of them yield a near-just ~11/7. This mapping gets just short of four full octaves, with no missed notes and a very slight slope. Bryan Deister has demonstrated this mapping for 69edo in microtonal improvisation in 69edo (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)
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