Lumatone mapping for 99edo: Difference between revisions

→Würschmidt/Hemiwürschmidt/Würschmidt/Hemiwur: Reorganize, and fix previous botched edit that left out second mapping
→Diatonic: Insert Bryan Deister's 49L 1s MOS subset pseudo-isomorphic pseudo-diatonic mapping after this
 
(2 intermediate revisions by one other user not shown)
Line 4: Line 4:
Due to the size of the EDO, a standard diatonic mapping will miss a large fraction of the notes.
Due to the size of the EDO, a standard diatonic mapping will miss a large fraction of the notes.
{{Lumatone EDO mapping|n=99|start=6|xstep=17|ystep=-10}}
{{Lumatone EDO mapping|n=99|start=6|xstep=17|ystep=-10}}
== 49L 1s MOS subset pseudo-isomorphic pseudo-diatonic ==
[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for a [[49L 1]] MOS subset of [[99edo]] in [https://www.youtube.com/shorts/GNio1PMp9BA ''99edo improv''] (2026). Since the step size is quite small, and yet the step ratio is 2:1, this enables playing a highly diatonic sound even though the layout is not truly diatonic, instead approximating a warped version of [[50edo]]. As with the standard diatonic mapping that it approximates, the the range is just short of five octaves, with no notes missing from the 49L 1s MOS scale.
{{Lumatone EDO mapping|n=100|start=92|xstep=16|ystep=-6}}


== Misty ==
== Misty ==
Line 26: Line 32:
Since [[99edo]] falls on the [[Amity]] temperament line, it is tempting to use the generator 7\99 functioning as a near-just ~[[21/20]] as in the [[Amity_family#Amicable|Amicable]] extension, but with the octave split into three equal parts, giving a [[12L 3s]] scale with 7:5 step ratio. The range is a bit over two octaves, slanting up mildly, with no missed notes and a few repeated notes to assist with vertical wraparounds. Relative to the mappings for [[Würschmidt]] and its extensions, the Amicable mapping has the advantage that the layout is less lopsided, but the disadvantage that stacking generators does not hit good ratios at low numbers of generators.
Since [[99edo]] falls on the [[Amity]] temperament line, it is tempting to use the generator 7\99 functioning as a near-just ~[[21/20]] as in the [[Amity_family#Amicable|Amicable]] extension, but with the octave split into three equal parts, giving a [[12L 3s]] scale with 7:5 step ratio. The range is a bit over two octaves, slanting up mildly, with no missed notes and a few repeated notes to assist with vertical wraparounds. Relative to the mappings for [[Würschmidt]] and its extensions, the Amicable mapping has the advantage that the layout is less lopsided, but the disadvantage that stacking generators does not hit good ratios at low numbers of generators.
{{Lumatone EDO mapping|n=99|start=93|xstep=7|ystep=-2}}
{{Lumatone EDO mapping|n=99|start=93|xstep=7|ystep=-2}}
== Ennealimmal (currently untested) ==
This mapping uses [[ennealimmal]] temperament; it maps one axis to 1\9 and one axis to ~21/20, an ennealimmal generator.
{{Lumatone EDO mapping|n=99|start=0|xstep=11|ystep=-7}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}