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| There are many conceivable ways to map [[96edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of [[12edo]] 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them, and due to the edos size, would not cover the whole gamut even if it was. The second best 5th is shared with [[32edo]], so that doesn't work either, making the 55/96 flat 5th the first one that produces a regular, albeit near equalised diatonic scale.
| | {{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was. The second best fifth is shared with [[32edo]], so that doesn't work either, making the 55/96 flat fifth the first one that produces a regular, albeit near equalised diatonic scale. |
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| {{Lumatone EDO mapping|n=96|start=72|xstep=14|ystep=-1}} | | {{Lumatone EDO mapping|n=96|start=72|xstep=14|ystep=-1}} |
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| Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis. | | Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis. |
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| {{Lumatone EDO mapping|n=96|start=14|xstep=3|ystep=19}} | | {{Lumatone EDO mapping|n=96|start=14|xstep=3|ystep=19}} |
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| The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall. | | The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall. |
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| {{Lumatone EDO mapping|n=96|start=10|xstep=9|ystep=-7}} | | {{Lumatone EDO mapping|n=96|start=10|xstep=9|ystep=-7}} |
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| {{Navbox Lumatone}} | | {{Navbox Lumatone}} |
Revision as of 18:41, 14 March 2025
There are many conceivable ways to map 96edo onto the onto the Lumatone keyboard. However, it has 8 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. Due to its size, it would not cover the whole gamut even if it was. The second best fifth is shared with 32edo, so that doesn't work either, making the 55/96 flat fifth the first one that produces a regular, albeit near equalised diatonic scale.
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Instead, the most efficient layout that allows access to all notes is the 3L 10s Würschmidt mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.
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The Interpental mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.
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