Lumatone mapping for 36edo: Difference between revisions

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Baladic: Insert Bryan Deister's Niner + Diminished after this
 
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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.
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.
{{Lumatone EDO mapping|n=36|start=34|xstep=7|ystep=-3}}
{{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 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}}
{{Navbox Lumatone}}