Lumatone mapping for 11edo: Difference between revisions

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The following mapping for [[11edo]] can be used for every [[MOS]] scale in 11edo with {{nowrap|L {{=}} 2\11}} and {{nowrap|s {{=}} 1\11}}, such as [[4L 3s]] and [[5L 1s]].

== Hyperkleismic Lumatone mappings ==

[[Bryan Deister]] has used a [[3L 1s]] (3:2 step ratio) mapping for an unequal derivative of [[11edo]] that stacks sharp (by varying degrees) classic minor thirds to generate the scale (as in [[hyperkleismic]] temperament), in [https://www.youtube.com/shorts/K2QVvaRUXIQ ''<nowiki>[short clip] 11 Tone March</nowiki>''] (2023). In principle, this would also work for vanilla 11edo. (Due to the very large errors that 11edo has for most of its primes, getting the classic major thirds to map correctly as ~[[6/5]] requires use of the 2.9.15 subgroup or an extended version thereof, to constitute the minor thirds initially as 18/15.) The range is eight octaves, which slope very slightly upwards and have a generous number of repeated notes, thereby leaving open the possibility of splitting this layout into multiple manuals with only mild lopsidedness.

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 The following mapping for [[11edo]] can be used for every [[MOS]] scale in 11edo with {{nowrap|L {{=}} 2\11}} and {{nowrap|s {{=}} 1\11}}, such as [[4L&nbsp;3s]] and [[5L&nbsp;1s]].
 {{Lumatone EDO mapping|n=11|start=0|xstep=2|ystep=-1}}
+== Hyperkleismic Lumatone mappings ==
+[[Bryan Deister]] has used a [[3L&nbsp;1s]] (3:2 step ratio) mapping for an unequal derivative of [[11edo]] that stacks sharp (by varying degrees) classic minor thirds to generate the scale (as in [[hyperkleismic]] temperament), in [https://www.youtube.com/shorts/K2QVvaRUXIQ ''<nowiki>[short clip] 11 Tone March</nowiki>''] (2023). In principle, this would also work for vanilla 11edo. (Due to the very large errors that 11edo has for most of its primes, getting the classic major thirds to map correctly as ~[[6/5]] requires use of the 2.9.15 subgroup or an extended version thereof, to constitute the minor thirds initially as 18/15.) The range is eight octaves, which slope very slightly upwards and have a generous number of repeated notes, thereby leaving open the possibility of splitting this layout into multiple manuals with only mild lopsidedness.
+{{Lumatone EDO mapping|n=11|start=9|xstep=3|ystep=-1}}
 {{Navbox Lumatone}}