Lumatone mapping for 52edo: Difference between revisions
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Add Bryan Deister's Pseudo-Pentacircle 52edo mapping |
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The [[Lumatone mapping for neutral thirds scales|neutral thirds mapping]] is probably easier to navigate. | The [[Lumatone mapping for neutral thirds scales|neutral thirds mapping]] is probably easier to navigate. | ||
{{Lumatone EDO mapping|n=52|start=43|xstep=7|ystep=1}} | {{Lumatone EDO mapping|n=52|start=43|xstep=7|ystep=1}} | ||
== Pseudo-Pentacircle == | |||
[[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 (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}} | |||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||