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| == Diatonic == | | == Diatonic == |
| | Since 43edo is a good [[meantone]] tuning and the whole diatonic gamut fits on a Lumatone with room to spare, diatonic is a perfectly valid mapping, as demonstrated in {{W|Toby Fox}}'s [https://www.youtube.com/shorts/r8gvT-CZLEI ''Shop 3''] via ''{{W|Deltarune}} Chapter 1'' (2018) – microtonal cover in 43edo by [[Bryan Deister]] (2026). |
| {{Lumatone EDO mapping|n=43|start=41|xstep=7|ystep=-3}} | | {{Lumatone EDO mapping|n=43|start=41|xstep=7|ystep=-3}} |
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Latest revision as of 03:05, 24 July 2026
There are many conceivable ways to map 43edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
Since 43edo is a good meantone tuning and the whole diatonic gamut fits on a Lumatone with room to spare, diatonic is a perfectly valid mapping, as demonstrated in Toby Fox's Shop 3 via Deltarune Chapter 1 (2018) – microtonal cover in 43edo by Bryan Deister (2026).
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Amavil (superdiatonic)
It is possible to use a 7L 2s (5:4 step ratio) superdiatonic mapping with 43edo, as in mavila. Mavila itself is not a high-accuracy tuning, but it has some relatives that are high-accuracy — in this case, amavil, of the mabila family. As with mavila, it uses a sub-fifth as its generator, in this case 24\43; however, unlike actual mavila, the generator is explicitly defined as something other than the fifth, which is instead left at the most accurate mapping 43edo has to offer for ~3/2 (at 25\43). Instead, the sub-fifth is mapped as a mildly flat undecimal diminished fifth ~22/15. After octave-reduction, three of them make a somewhat flat classic minor sixth ~8/5; four of them make a subminor third that functions as ~7/6 (sharp), ~13/11 (flat), and ~20/17 (diatismic minor third, close to just, only slightly sharp); six of them make a near-just pentacircle major third ~14/11; seven of them make a near-just classic major seventh ~15/8; eight of them make a moderately flat undecimal major fourth ~11/8; and ten of them make the moderately flat perfect fifth ~3/2. The range is about 3¾ octaves, which slope mildly upwards, with a generous allotment of repeated notes to mitigate vertical wraparounds.
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Semiquartal
The 4L 1s layout is also particularly notable for putting the best tuned intervals within easy reach of one-another, as also demonstrated in Skip fretting system 43 2 9, although it doesn't quite cover the whole gamut.
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Trimean
If you want easily accessible single-step movements, the Trimean mapping is probably the best option.
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