Lumatone mapping for 52edo: Difference between revisions
m Wrong 5-limit extension. Dirt, not ultrapyth. |
→Pseudo-Pentacircle: Add pseudo-isomorphic version of this |
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[[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 9\52, as ~[[9/8]] but mapped by direct approximation rather than as the version mapped by the patent val or by the 52b val, which means that it has to be constituted as {{nowrap|(3♭ × 3♯) / 8}} to make use of the dual-fifth feature of 52edo. Two of these map to a ~[[14/11]] major third, as in [[Pentacircle clan|Pentacircle]] but for the direct approximation mapping of ~9/8. The upward generator is ~[[16/15]]. Octaves slant down and then wrap around, but the compass is 5 full octaves, with no missed notes, which is competitive with the Diatonic and Neutral Thirds layouts. This layout is demonstrated in [https://www.youtube.com/shorts/lNJCZz7EjL0 ''microtonal improvisation in 52edo''] (2025); in the video, some notes are cut off at the right edge due to the use of only 2 MIDI channels. | [[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 9\52, as ~[[9/8]] but mapped by direct approximation rather than as the version mapped by the patent val or by the 52b val, which means that it has to be constituted as {{nowrap|(3♭ × 3♯) / 8}} to make use of the dual-fifth feature of 52edo. Two of these map to a ~[[14/11]] major third, as in [[Pentacircle clan|Pentacircle]] but for the direct approximation mapping of ~9/8. The upward generator is ~[[16/15]]. Octaves slant down and then wrap around, but the compass is 5 full octaves, with no missed notes, which is competitive with the Diatonic and Neutral Thirds layouts. This layout is demonstrated in [https://www.youtube.com/shorts/lNJCZz7EjL0 ''microtonal improvisation in 52edo''] (2025); in the video, some notes are cut off at the right edge due to the use of only 2 MIDI channels. | ||
{{Lumatone EDO mapping|n=52|start=4|xstep=9|ystep=-5}} | {{Lumatone EDO mapping|n=52|start=4|xstep=9|ystep=-5}} | ||
A version of the above that duplicates note 0 (as note 52, as if making a layout for [[53edo]]) keeps the octaves level. This is demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/PgSsSM5pJcM ''52edo improv''] (2025). | |||
{{Lumatone EDO mapping|n=53|start=4|xstep=9|ystep=-5}} | |||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||