Xenharmonic Wiki

Lumatone mapping for 38edo

Revision as of 19:01, 9 October 2025 by Lucius Chiaraviglio (talk | contribs) (Add 2 mappings by Bryan Deister; touch up descriptions of some of the other mappings)

There are many conceivable ways to map 38edo onto the onto the Lumatone keyboard. However, it has 2 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. Even the b val does not generate a diatonic or antidiatonic scale.

Antidiatonic/Balzano

The bb val fifth is very flat indeed, generating a very lopsided 2L 5s scale having a 9:4 step ratio or a 2L 7s scale (with backtracking) having a 5:4 step ratio.

 
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Neutral thirds

Instead, as slicing the perfect fifth in two results in an essentially perfect 11/9, it makes a lot of sense to use a neutral thirds mapping. The versions below present a tradeoff familiar for Neutral Thirds mappings, between rotating the notes of the diatonic scale or incurring a considerable slope of the octaves that causes vertical wraparounds.

Rotated (Opossum + Ptolemy)

A rotated version yields a range of five octaves but for a few missing notes in the bottom octave (or top octave, depending upon the placement of note 0), with octaves sloping down mildly. This version lends itself to Opossum and Ptolemy.

 
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Non-Rotated (Opossum + Hemisensi + Ptolemy)

Bryan Deister has demonstrated a 3L 4s (6:5 step ratio) layout for 38edo in Spirit of the Night - Secret of Mana (microtonal cover in 38edo) (2025). The range is a bit over five octaves, although at the cost of octaves sloping down severely enough to incur two vertical wraparounds. This mapping lends itself to Opossum, Hemisensi, and Ptolemy.

 
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Astrology

Or if you want greater range while still reaching a lot of good intervals in few steps while only incurring a gentle downward slope of octaves, the Astrology mapping works well.

 
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Bison + Hemikleismic + Divination + Hocus Lumatone mappings

Bryan Deister has demonstrated a 2L 4s (step ratio 7:6) mapping for 38edo in 38edo improv (2025) that functions for Bison, Hemikleismic, Divination, and Hocus temperaments. The range is just under 5½ octaves, and the octaves slope down only slightly.

 
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