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| === 52edo (demonstrated to work) === | | === 52edo (demonstrated to work) === |
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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 (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.
| | Found Diminished temperament, and moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings|Various other Lumatone mappings]]: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:05, 28 March 2026 (UTC) |
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| {{Lumatone EDO mapping|n=52|start=4|xstep=9|ystep=-5}}
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| Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:22, 5 May 2025 (UTC)<br>
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| Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:03, 6 May 2025 (UTC)
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| === 57edo (demonstrated to work) === | | === 57edo (demonstrated to work) === |