Lumatone mapping for 36edo: Difference between revisions

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== Squirrel ==

If you want an evenly distributed heptatonic scale that gives easy access to the perfect fifth, you instead need to use the [[Squirrel]] mapping.

If you want an evenly distributed heptatonic scale that gives easy access to the perfect fifth, you instead need to use the [[Squirrel]] mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/3la1W-_-ceA ''36edo cowbell''] (2025).

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=== 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 customary 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.

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Another good option is the [[4L 2s]] [[Baladic]] mapping, which divides the octave in two to add easily accessible ratios of 13 & 17 to slendrics 2.3.7 subgroup and keeps octaves near horizontal, while keeping the less well tuned ratios of 5 and 11 distant from one-another.

== Niner + Diminished ==

It is possible to use the [[blackwood]] + [[whitewood]] mappings of [[35edo]] as inspiration for mapping [[36edo]] as a lattice, using its factors of closest size to those of 35edo, which are 4 and 9, as in [[niner]] + [[Diminished_(temperament)|diminished]] temperaments, with a [[4L 4s]] scale of step ratio 5:4 running right and down. Similarly to blackwood and whitewood, the octaves slope upwards with the rows, but even so the mapping works to give 5 octaves with some repeated notes to mitigate vertical wraparounds, with no missed notes except for one missed note 35 in the top otherwise contiguous octave. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/KCtEYSkEK8U ''36edo improv''] (2026).

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 == Squirrel ==
-If you want an evenly distributed heptatonic scale that gives easy access to the perfect fifth, you instead need to use the [[Squirrel]] mapping.
+If you want an evenly distributed heptatonic scale that gives easy access to the perfect fifth, you instead need to use the [[Squirrel]] mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/3la1W-_-ceA ''36edo cowbell''] (2025).
 {{Lumatone EDO mapping|n=36|start=15|xstep=5|ystep=1}}
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 === 5L&nbsp;1s (7:1 step ratio, large reverse chroma, down-right-divided octave) ===
-The [[5L&nbsp;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&nbsp;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 customary 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}}
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 Another good option is the [[4L&nbsp;2s]] [[Baladic]] mapping, which divides the octave in two to add easily accessible ratios of 13 & 17 to slendrics 2.3.7 subgroup and keeps octaves near horizontal, while keeping the less well tuned ratios of 5 and 11 distant from one-another.
 {{Lumatone EDO mapping|n=36|start=34|xstep=7|ystep=-3}}
+== Niner + Diminished ==
+It is possible to use the [[blackwood]] + [[whitewood]] mappings of [[35edo]] as inspiration for mapping [[36edo]] as a lattice, using its factors of closest size to those of 35edo, which are 4 and 9, as in [[niner]] + [[Diminished_(temperament)|diminished]] temperaments, with a [[4L&nbsp;4s]] scale of step ratio 5:4 running right and down. Similarly to blackwood and whitewood, the octaves slope upwards with the rows, but even so the mapping works to give 5 octaves with some repeated notes to mitigate vertical wraparounds, with no missed notes except for one missed note 35 in the top otherwise contiguous octave. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/KCtEYSkEK8U ''36edo improv''] (2026).
+{{Lumatone EDO mapping|n=36|start=2|xstep=4|ystep=5}}
 {{Navbox Lumatone}}