User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→Machine Lumatone mappings: Insert Lesser Tendoneutralic Lumatone mappings after this, starting with Bryan Deister's Lumatone mapping for 67edo |
→67edo (demonstrated to work but awaiting approval): Diatonic scale not easily accessible |
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=== 67edo (demonstrated to work but awaiting approval) === | === 67edo (demonstrated to work but awaiting approval) === | ||
[[Bryan Deister]] has used a layout for [[67edo]] that uses the tempering out of the [[Lesser tendoneutralisma]] (70368744177664/69894255367443, more conveniently described as {{nowrap|{{!}}46 -1 0 0 0 -12⟩}}), in [https://www.youtube.com/shorts/uwxey9_jINA ''microtonal improvisation in 67edo''] (2025). The underlying generator of the temperament is two steps right and one step down-right on the keyboard, which is 20\67, which is a near-just ~[[16/13]] (octave-reduced 13th subharmonic). Twelve of these are tempered together to make ~[[12/1]], which is then octave-reduced to the twelfth ~[[3/1]], and thence to the fifth ~[[3/2]]. The range is a bit under 3⅓ octaves, and the octaves are almost level, having a barely perceptible downward slant. | [[Bryan Deister]] has used a layout for [[67edo]] that uses the tempering out of the [[Lesser tendoneutralisma]] (70368744177664/69894255367443, more conveniently described as {{nowrap|{{!}}46 -1 0 0 0 -12⟩}}), in [https://www.youtube.com/shorts/uwxey9_jINA ''microtonal improvisation in 67edo''] (2025). The underlying generator of the temperament is two steps right and one step down-right on the keyboard, which is 20\67, which is a near-just ~[[16/13]] (octave-reduced 13th subharmonic). Twelve of these are tempered together to make ~[[12/1]], which is then octave-reduced to the twelfth ~[[3/1]], and thence to the fifth ~[[3/2]]. The range is a bit under 3⅓ octaves, and the octaves are almost level, having a barely perceptible downward slant. This mapping uses a very xenharmonic treatment of 67edo — the notes of a complete [[meantone]] diatonic scale are not situated for easy access. | ||
{{Lumatone EDO mapping|n=67|start=50|xstep=7|ystep=-1}} | {{Lumatone EDO mapping|n=67|start=50|xstep=7|ystep=-1}} | ||