Lumatone mapping for 36edo: Difference between revisions

Slendric: Reorganize; add temperament and ergonomics description; add Bryan Deister's version (including link to demo video)
m Slendric: Put link to 5L 1s scale in the right place
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=== 5L 1s (7:1 step ratio, large reverse chroma, down-right-divided octave) ===
=== 5L 1s (7:1 step ratio, large reverse chroma, down-right-divided octave) ===
The 5L 1s (7:1 step ratio, upside-down scale) large reverse chroma mapping uses a slightly larger but very hard scale to compact the standard diatonic scale into two strings of single-step movements (although still rotated from the custmoary orientation), while also making offset strings of [[6edo]] into compact down-right key sequences, thereby dividing each octave into six parts, which may be useful for playing divided-octave temperaments. However, this makes fingerings for many chords somewhat awkward while putting octaves all over the place.
The [[5L 1s]] (7:1 step ratio, upside-down scale) large reverse chroma mapping uses a slightly larger but very hard scale to compact the standard diatonic scale into two strings of single-step movements (although still rotated from the custmoary orientation), while also making offset strings of [[6edo]] into compact down-right key sequences, thereby dividing each octave into six parts, which may be useful for playing divided-octave temperaments. However, this makes fingerings for many chords somewhat awkward while putting octaves all over the place.
{{Lumatone EDO mapping|n=36|start=21|xstep=7|ystep=-1}}
{{Lumatone EDO mapping|n=36|start=21|xstep=7|ystep=-1}}


=== 5L 1s (7:1 step ratio, large forward chroma, up-divided octave) ===
=== 5L 1s (7:1 step ratio, large forward chroma, up-divided octave) ===
A [[5L 1s]] (7:1 step ratio, large forward chroma) 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 (but more than in the 1L 4s mapping) while still having the notes of the standard diatonic scale still easily accessible, although still rotated from their customary orientation. Offset strings of 6edo are now compact upwards key sequences, which may still be useful for playing divided-octave temperaments, although more likely to pass through a vertical wrapround than in the reverse-chroma 5L 1s mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/watch?v=psvrsa10-Wo ''36edo jam''] (2025)].
A 5L 1s (7:1 step ratio, large forward chroma) 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 (but more than in the 1L 4s mapping) while still having the notes of the standard diatonic scale still easily accessible, although still rotated from their customary orientation. Offset strings of 6edo are now compact upwards key sequences, which may still be useful for playing divided-octave temperaments, although more likely to pass through a vertical wrapround than in the reverse-chroma 5L 1s 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}}
{{Lumatone EDO mapping|n=36|start=9|xstep=7|ystep=-6}}