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 |
→36edo (demonstrated to work but awaiting approval): Got approval; add temperament and ergonomics description |
||
| (7 intermediate revisions by the same user not shown) | |||
| Line 41: | Line 41: | ||
== Lesser Tendoneutralic Lumatone mappings == | == Lesser Tendoneutralic Lumatone mappings == | ||
=== 67edo (demonstrated to | === 67edo (demonstrated to workl) === | ||
[[Bryan Deister]] has | [[Bryan Deister]] has demonstrated a [[7L 3s]] (7:6 step ratio) 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. Although very efficient, this mapping takes a very xenharmonic approach 67edo — the notes of a complete [[meantone]] diatonic scale are not situated for easy access (being widely spaced vertically and always requiring a vertical wraparound to play the complete diatonic scale). | ||
{{Lumatone EDO mapping|n=67|start=50|xstep=7|ystep=-1}} | {{Lumatone EDO mapping|n=67|start=50|xstep=7|ystep=-1}} | ||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:56, 29 July 2025 (UTC) | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:56, 29 July 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:52, 30 July 2025 (UTC) | |||
== Pseudo-Meantone Lumatone mappings == | == Pseudo-Meantone Lumatone mappings == | ||
| Line 70: | Line 71: | ||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 17 July 2025 (UTC)<br> | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 17 July 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:35, 21 July 2025 (UTC) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:35, 21 July 2025 (UTC) | ||
== Slendric == | |||
=== 36edo (demonstrated to work) === | |||
[[Slendric]] mappings for [[36edo]] use the very accurate (just slightly sharp) septimal whole tone ~[[8/7]] as the generator, and three of these make the very accurate (just slightly flat) fifth ~[[3/2]] (the gamelisma [[1029/1024]] being tempered out). This achieves a range a bit over six octaves with no missing notes and some repeated notes to mitigate vertical wraparounds. A [[5L 1s]] (7:1 step ratio) version of the Slendric mapping uses a large chroma (thus making a very hard version of this scale), and achieves octaves that only slope up moderately while still having the notes of the standard diatonic scale still easily accessible, although rotated from their customary orientation. Offset strings of [[6edo]] are now compact upwards key sequences, which may be useful for playing divided-octave temperaments, although more likely to pass through a vertical wrapround than in a reverse-chroma mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/watch?v=psvrsa10-Wo ''36edo jam''] (2025)]. | |||
{{Lumatone EDO mapping|n=36|start=9|xstep=7|ystep=-6}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:46, 7 August 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:52, 10 August 2025 (UTC) | |||
== Würschmidt Lumatone mappings == | == Würschmidt Lumatone mappings == | ||
| Line 132: | Line 144: | ||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:35, 12 May 2025 (UTC)<br> | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:35, 12 May 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:07, 12 May 2025 (UTC) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:07, 12 May 2025 (UTC) | ||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 17:43, 31 July 2025 (UTC) | |||
=== 91edo pseudo-isomorphic (demonstrated to work) === | === 91edo pseudo-isomorphic (demonstrated to work) === | ||