Lumatone mapping for 38edo: Difference between revisions
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→Bison + Hemikleismic + Divination + Hocus Lumatone mappings: Fix heading; insert Bryan Deister's Bison + Hemisensi + Hemikleismic mapping before this |
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{{Lumatone mapping intro}} 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. | |||
{{Lumatone EDO mapping|n=38|start=10|xstep=4|ystep=5}} | {{Lumatone EDO mapping|n=38|start=10|xstep=4|ystep=5}} | ||
Instead, as slicing the perfect | == 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 [[Lumatone mapping for neutral thirds scales|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 [[Porcupine_family#Opossum|Opossum]] and [[Rastmic_clan#Ptolemy|Ptolemy]]. | |||
{{Lumatone EDO mapping|n=38|start=31|xstep=5|ystep=1}} | {{Lumatone EDO mapping|n=38|start=31|xstep=5|ystep=1}} | ||
Or if you want greater range while still reaching a lot of good intervals in few steps the [[ | === Non-Rotated (Opossum + Hemisensi + Ptolemy) === | ||
[[Bryan Deister]] has demonstrated a [[3L 4s]] (6:5 step ratio) layout for [[38edo]] in [https://www.youtube.com/shorts/rewy-32BfRs ''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 [[Porcupine_family#Opossum|Opossum]], [[Sensipent_family#Hemisensi|Hemisensi]], and [[Rastmic_clan#Ptolemy|Ptolemy]]. | |||
{{Lumatone EDO mapping|n=38|start=30|xstep=6|ystep=-1}} | |||
== 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. | |||
{{Lumatone EDO mapping|n=38|start=35|xstep=7|ystep=-2}} | {{Lumatone EDO mapping|n=38|start=35|xstep=7|ystep=-2}} | ||
{{Lumatone mapping | == Bison + Hemisensi + Hemikleismic == | ||
It is possible to map [[38edo|38df]] to support scales [[4L 2s]] (7:5 step ratio, and proceeding overall down-right) and [[7L 1s]] (5:3 step ratio, with the small step proceeding right + up-right), supporting temperaments [[Sensipent_family#Bison|bison]], [[Kleismic_family#Hemisensi|hemisensi]], and [[Kleismic_family#Hemikleismic|hemikleismic]]. [[Bryan Deister]] has demonstrated this layout in [https://www.youtube.com/shorts/Gdx4hk7FKU0 ''<nowiki>waltz in 38edo [short]</nowiki>''] (2026), motivated by the wish to reverse major and minor thirds but without needing a super-flat fifth. This yields a range of a bit over 4¾ octaves, but with a severe downwards slope that incurs vertical wraparounds. | |||
{{Lumatone EDO mapping|n=38|start=17|xstep=5|ystep=2}} | |||
== Bison + Hemikleismic + Divination + Hocus == | |||
[[Bryan Deister]] has demonstrated a [[2L 4s]] (step ratio 7:6) mapping for [[38edo]] in [https://www.youtube.com/shorts/QcFEW45uxHY ''38edo improv''] (2025) that functions for [[Sensipent_family#Bison|Bison]], [[Kleismic_family#Hemikleismic|Hemikleismic]], [[Magic_family#Divination|Divination]], and [[Magic_family#Hocus|Hocus]] temperaments. The range is just under 5½ octaves, and the octaves slope down only slightly. | |||
{{Lumatone EDO mapping|n=38|start=19|xstep=6|ystep=1}} | |||
{{Navbox Lumatone}} | |||
Latest revision as of 07:51, 28 January 2026
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.
10
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0
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36
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6
10
3
7
11
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19
20
24
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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19
0
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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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30
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10
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6
19
25
31
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9
15
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27
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1
7
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11
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29
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32
0
6
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1
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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 + Hemisensi + Hemikleismic
It is possible to map 38df to support scales 4L 2s (7:5 step ratio, and proceeding overall down-right) and 7L 1s (5:3 step ratio, with the small step proceeding right + up-right), supporting temperaments bison, hemisensi, and hemikleismic. Bryan Deister has demonstrated this layout in waltz in 38edo [short] (2026), motivated by the wish to reverse major and minor thirds but without needing a super-flat fifth. This yields a range of a bit over 4¾ octaves, but with a severe downwards slope that incurs vertical wraparounds.
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34
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31
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7
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Bison + Hemikleismic + Divination + Hocus
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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33
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35
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