Lumatone mapping for 15edo: Difference between revisions

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== Blackwood + ~~augmented~~ (~~augene~~) + ~~kleismic~~ (~~hanson~~/~~keemun~~/~~superkleismic~~) ==

== 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 (temperament)|augmented]], specifically [[augene]]. This also functions as a [[kleismic]] ([[hanson]]/[[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.

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. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=CNZbkoqbBwo ''GHOST – Rotary Dial (microtonal cover in 15edo)''] (2023).

=== 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).

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]] demonstrates this version in [https://www.youtube.com/shorts/n4552NepqZ8 ''Waltz in 15edo''] (2025).

== Hanson ==

If hanson is most of what is needed and augmented and blackwood are not a priority, it is possible to compress the layout to a [[3L 1s]] scale (4:3 step ratio) and increase the range to over eight octaves that are nearly level (even supporting the possibility for dual manuals).

If hanson is most of what is needed and augmented and blackwood are not a priority, it is possible to compress the layout to a [[3L 1s]] scale (4:3 step ratio) and increase the range to over eight octaves that are nearly level (even supporting the possibility for dual manuals). [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=8PaoIqPkIWc ''<nowiki>Radiohead – Subterranean Homesick Alien [microtonal 15edo]</nowiki>''] (2024).

@@ Line 15: / Line 15: @@
 {{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=-1}}
-== Blackwood + augmented (augene) + kleismic (hanson/keemun/superkleismic) ==
+== 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 (temperament)|augmented]], specifically [[augene]]. This also functions as a [[kleismic]] ([[hanson]]/[[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.
+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. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=CNZbkoqbBwo ''GHOST – Rotary Dial (microtonal cover in 15edo)''] (2023).
 {{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).
+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]] demonstrates 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 ==
-If hanson is most of what is needed and augmented and blackwood are not a priority, it is possible to compress the layout to a [[3L&nbsp;1s]] scale (4:3 step ratio) and increase the range to over eight octaves that are nearly level (even supporting the possibility for dual manuals).
+If hanson is most of what is needed and augmented and blackwood are not a priority, it is possible to compress the layout to a [[3L&nbsp;1s]] scale (4:3 step ratio) and increase the range to over eight octaves that are nearly level (even supporting the possibility for dual manuals). [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/watch?v=8PaoIqPkIWc ''<nowiki>Radiohead – Subterranean Homesick Alien [microtonal 15edo]</nowiki>''] (2024).
 {{Lumatone EDO mapping|n=15|start=9|xstep=4|ystep=-1}}
 {{Navbox Lumatone}}