Lumatone mapping for 92edo

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There are many conceivable ways to map 95edo onto the onto the Lumatone keyboard, but the Standard Lumatone mapping for Pythagorean does not work for the patent val, because the patent fifth is shared with 46edo, making two mutually-exclusive rings of fifths. It only works for the very flat (92b val) and very sharp (92bb val) alternate fifths. Also, the large number of notes means the standard diatonic mapping and many others will fail to cover the entire gamut.

Diatonic (sharp fifth)

The 92bb val has a very sharp fifth. On a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes (460 required in the space of five octaves), this diatonic mapping would be a good mapping for a very sharp temperament of the Archytas clan.

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50
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18
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42

Diatonic (flat fifth)

The 92b val has a very flat fifth, just 0.102 ¢ sharp of 1/2-comma meantone. On a hypothetical XL-sized Lumatone (as above), this diatonic mapping would be a good mapping for flattone (as 92bcccd) or flattertone (as 92bcccdd).

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14
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81
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80
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78
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14
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19
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2

Unidentified rank-3 temperament mapping

Bryan Deister has demonstrated an 8L 5s (step ratio 9:4) mapping for 92edo in microtonal improvisation in 92edo (2025). As 9\92, the rightward generator maps to a slightly flat ~31/29, and five of these make the slightly sharp patent fifth ~3/2. The upward generator 5\92 yields ~14/13 by stacking two of these. The down-right generator 4\92 functions as ~33/32, ~34/33, and ~35/34; stacking two of these (8\92) yields ~17/16; stacking six of these (24\92) yields ~6/5; stacking eight of these (32\92) yields ~14/11. The first note 0 can be placed in the lower left corner (as actually used in the demonstration video) to avoid having a little piece of an octave before it, but this results in a vertical wraparound of the octaves, which slant down moderately (over the range of slightly over 2¼ octaves).

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91
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62
71
80
89
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15
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78
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3
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10
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28
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14
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83
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9
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67
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17
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