Lumatone mapping for 15edo: Difference between revisions

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== [[Blackwood]] ==

== Blackwood + Augmented (Augene) + Kleismic (Hanson/Keemun/Superkleismic) ==

[[Blackwood]] avoids the [[contorsion]] problem of 15edo by dividing the octave into five sections. Dividing 15edo by 3 gets a 3L 3s scale on top of this. With a 3:2 step ratio, this also makes for easy division of the octave into three sections, as in [[Augmented#family|Augmented]], specifically [[Augmented_family#Augene|Augene]]. This also functions as a [[Kleismic]] ([[Kleismic_family#Kleismic_a.k.a._hanson|Hanson]]/[[Kleismic_family#Keemun|Keemun]]/[[Superkleismic]]) [[4L 3s]] (3:1 step ratio) mapping. The range is a bit under 6 octaves, and while octaves slope up as expected for Blackwood, they do so in a way such that the vertical repeated notes cause double octaves to be nearly level.

=== 3L 3s (right, down-right) and 4L 3s (right, up) ===

This version is optimized for playing the 3L 3s scale; it makes the 4L 3s scale slope upwards, although with care it is possible to use the vertically repeated notes to avoid a vertical wraparound.

=== 3L 3s (right, up) and 4L 3s (right, down-right) ===

This version is optimized for playing the 4L 3s scale; it makes the 3L 3s scale slope upwards, although with care it is possible to use the vertically repeated notes to avoid a vertical wraparound. [[Bryan Deister]] has demonstrated this version in [https://www.youtube.com/shorts/n4552NepqZ8 ''Waltz in 15edo''] (2025).

== [[Hanson]] ==

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 {{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=1}}
-== [[Blackwood]] ==
+== Blackwood + Augmented (Augene) + Kleismic (Hanson/Keemun/Superkleismic) ==
+[[Blackwood]] avoids the [[contorsion]] problem of 15edo by dividing the octave into five sections. Dividing 15edo by 3 gets a 3L&nbsp;3s scale on top of this. With a 3:2 step ratio, this also makes for easy division of the octave into three sections, as in [[Augmented#family|Augmented]], specifically [[Augmented_family#Augene|Augene]]. This also functions as a [[Kleismic]] ([[Kleismic_family#Kleismic_a.k.a._hanson|Hanson]]/[[Kleismic_family#Keemun|Keemun]]/[[Superkleismic]]) [[4L&nbsp;3s]] (3:1 step ratio) mapping. The range is a bit under 6 octaves, and while octaves slope up as expected for Blackwood, they do so in a way such that the vertical repeated notes cause double octaves to be nearly level.
+=== 3L&nbsp;3s (right, down-right) and 4L&nbsp;3s (right, up) ===
+This version is optimized for playing the 3L&nbsp;3s scale; it makes the 4L&nbsp;3s scale slope upwards, although with care it is possible to use the vertically repeated notes to avoid a vertical wraparound.
 {{Lumatone EDO mapping|n=15|start=13|xstep=3|ystep=-1}}
+=== 3L&nbsp;3s (right, up) and 4L&nbsp;3s (right, down-right) ===
+This version is optimized for playing the 4L&nbsp;3s scale; it makes the 3L&nbsp;3s scale slope upwards, although with care it is possible to use the vertically repeated notes to avoid a vertical wraparound. [[Bryan Deister]] has demonstrated this version in [https://www.youtube.com/shorts/n4552NepqZ8 ''Waltz in 15edo''] (2025).
+{{Lumatone EDO mapping|n=15|start=4|xstep=3|ystep=-2}}
 == [[Hanson]] ==