Lumatone mapping for 65edo: Difference between revisions

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Note that since 65edo is a [[schismatic]] tuning, the best approximation to [[5/4]] is the diminished fourth. Due to the size of the edo, this mapping does not cover all the notes. Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/UJZw9NQuGnY ''Zanarkand - Nobuo Uematsu (microtonal cover in 65edo)''] (2026).

== Squirrel ==

It is possible to map [[65edo]] with [[squirrel]] temperament, using as a generator the near-just undecimal submajor second ~[[11/10]], reminiscent of [[tetracot]] but producing a a [[1L 6s]] scale (11:9 step ratio) instead of [[6L 1s]]. Three of these generators make the near-just perfect fourth ~[[4/3]]; six of them make the near-just Pythagorean.minor seventh ~[[16/9]]; nine of them (with octave reduction) make the slightly flat otonal (undevesimal) minor third ~[[19/16]]; and twenty-one of them (with more octave reduction) make the near-just classic major seventh ~[[15/8]]. Unfortunately, this mapping does not cover all of the notes in the range of over 4½ octaves; even so, [Bryan Deister]] has used this mapping in [[https://www.youtube.com/shorts/OtbEDFhjNkc ''65edo prelude''] (2026).

This can be expanded to a [[7L 1s]] scale (9:2 step ratio) that does cover the full gamut in the middle octaves, but has a range of slightly less than 4 octaves and a stronger upward slant.

== Sensipent ==

The [[Sensipent]] mapping ~~does cover~~ the whole gamut, keeps 5-limit chords fairly easy to play, and has ~~only~~ a slightly ~~smaller~~ range.

The [[5L 3s]] [[Sensipent]] mapping also covers the whole gamut, keeps 5-limit chords fairly easy to play, and has a slightly wider range where it covers all the notes (due to being chopped by the left and right edges, the first note 0 to note 0 octave is missing notes 5 and 8, while the last is missing notes 43, 53, 56, 60, and 63; apart from this, each octave has one repeated note). [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/zxgVvwXnIGQ ''Waltz in 65edo''] (2026).

== Würschmidt (divided generator) ==

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 Note that since 65edo is a [[schismatic]] tuning, the best approximation to [[5/4]] is the diminished fourth. Due to the size of the edo, this mapping does not cover all the notes.  Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/UJZw9NQuGnY ''Zanarkand - Nobuo Uematsu (microtonal cover in 65edo)''] (2026).
 {{Lumatone EDO mapping|n=65|start=2|xstep=11|ystep=-6}}
+== Squirrel ==
+It is possible to map [[65edo]] with [[squirrel]] temperament, using as a generator the near-just undecimal submajor second ~[[11/10]], reminiscent of [[tetracot]] but producing a a [[1L&nbsp;6s]] scale (11:9 step ratio) instead of [[6L&nbsp;1s]]. Three of these generators make the near-just perfect fourth ~[[4/3]]; six of them make the near-just Pythagorean.minor seventh ~[[16/9]]; nine of them (with octave reduction) make the slightly flat otonal (undevesimal) minor third ~[[19/16]]; and twenty-one of them (with more octave reduction) make the near-just classic major seventh ~[[15/8]]. Unfortunately, this mapping does not cover all of the notes in the range of over 4½ octaves; even so, [Bryan Deister]] has used this mapping in [[https://www.youtube.com/shorts/OtbEDFhjNkc ''65edo prelude''] (2026).
+{{Lumatone EDO mapping|n=65|start=26|xstep=9|ystep=2}}
+This can be expanded to a [[7L 1s]] scale (9:2 step ratio) that does cover the full gamut in the middle octaves, but has a range of slightly less than 4 octaves and a stronger upward slant.
+{{Lumatone EDO mapping|n=65|start=13|xstep=9|ystep=-7}}
 == Sensipent ==
-The [[Sensipent]] mapping does cover the whole gamut, keeps 5-limit chords fairly easy to play, and has only a slightly smaller range.
+The [[5L 3s]] [[Sensipent]] mapping also covers the whole gamut, keeps 5-limit chords fairly easy to play, and has a slightly wider range where it covers all the notes (due to being chopped by the left and right edges, the first note 0 to note 0 octave is missing notes 5 and 8, while the last is missing notes 43, 53, 56, 60, and 63; apart from this, each octave has one repeated note). [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/zxgVvwXnIGQ ''Waltz in 65edo''] (2026).
-{{Lumatone EDO mapping|n=65|start=52|xstep=7|ystep=3}}
+{{Lumatone EDO mapping|n=65|start=28|xstep=7|ystep=3}}
 == Würschmidt (divided generator) ==