Lumatone mapping for 88edo: Difference between revisions

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=== Expanded Diatonic ===

~~However, due~~ to the ~~size of the edo~~, ~~this does not cover the whole gamut. You~~ can expand it to the [[7L 5s]] mapping, but this gives octaves a moderate downward slant. Brian Deister uses this mapping in [https://www.youtube.com/watch?v=JQly-kX6kcM ''microtonal improvisation in 88edo''].

If you do want to cover all the notes with no skips and minimal repetition, you can expand it to the [[7L 5s]] mapping, but this gives octaves a moderate downward slant. This is the highest edo in which this mapping gives access to all the notes, higher ones will need to use the even more expanded [[12L 5s]] or [[12L 7s]] MOSes. Brian Deister uses this mapping in [https://www.youtube.com/watch?v=JQly-kX6kcM ''microtonal improvisation in 88edo''].

Keeping the same generator but setting the period to the quarter octave gives you a near equal [[4L 8s]] scale that keeps octaves closer to horizontal and makes chords easy to play

=== Rotated Diatonic ===

Since [[88edo]] is too large for the normal Standard Lumatone Mapping for Pythagorean to get all the notes, while the [[7L 2s]] mapping may cause excessive stretching of the fingers for some people, another possibility is to rotate the Lumatone to make the [[5L 2s]] scale (14:9 step ratio) run down-right and down, as demonstrated in {{W|Nobuo Uematsu}}'s [https://www.youtube.com/shorts/d3v6ji8EqQ8 ''The Extreme''] from ''{{W|Final Fantasy VIII}}'' (1999) – microtonal cover in 88edo by [[Bryan Deister]] (2026). This layout yields just under 2⅛ complete octaves with no missing notes and very few repeated note, although the upper left and lower right corners both have a large number of notes in partial octaves below and above these, due to the lopsidedness of the mapping; if the Lumatone is not rotated, the octaves slope down, but if the Lumatone is rotated 90° left as shown in the video, then the octaves proceed upward with a rightward slant.

== Mothra ==

@@ Line 6: / Line 6: @@
 === Expanded Diatonic ===
-However, due to the size of the edo, this does not cover the whole gamut. You can expand it to the [[7L&nbsp;5s]] mapping, but this gives octaves a moderate downward slant. Brian Deister uses this mapping in [https://www.youtube.com/watch?v=JQly-kX6kcM ''microtonal improvisation in 88edo''].
+If you do want to cover all the notes with no skips and minimal repetition, you can expand it to the [[7L&nbsp;5s]] mapping, but this gives octaves a moderate downward slant. This is the highest edo in which this mapping gives access to all the notes, higher ones will need to use the even more expanded [[12L&nbsp;5s]] or [[12L&nbsp;7s]] MOSes. Brian Deister uses this mapping in [https://www.youtube.com/watch?v=JQly-kX6kcM ''microtonal improvisation in 88edo''].
 {{Lumatone EDO mapping|n=88|start=0|xstep=9|ystep=-4}}
 Keeping the same generator but setting the period to the quarter octave gives you a near equal [[4L&nbsp;8s]] scale that keeps octaves closer to horizontal and makes chords easy to play
 {{Lumatone EDO mapping|n=88|start=79|xstep=7|ystep=1}}
+=== Rotated Diatonic ===
+Since [[88edo]] is too large for the normal Standard Lumatone Mapping for Pythagorean to get all the notes, while the [[7L&nbsp;2s]] mapping may cause excessive stretching of the fingers for some people, another possibility is to rotate the Lumatone to make the [[5L&nbsp;2s]] scale (14:9 step ratio) run down-right and down, as demonstrated in {{W|Nobuo Uematsu}}'s [https://www.youtube.com/shorts/d3v6ji8EqQ8 ''The Extreme''] from ''{{W|Final Fantasy VIII}}'' (1999) – microtonal cover in 88edo by [[Bryan Deister]] (2026). This layout yields just under 2⅛ complete octaves with no missing notes and very few repeated note, although the upper left and lower right corners both have a large number of notes in partial octaves below and above these, due to the lopsidedness of the mapping; if the Lumatone is not rotated, the octaves slope down, but if the Lumatone is rotated 90° left as shown in the video, then the octaves proceed upward with a rightward slant.
+{{Lumatone EDO mapping|n=88|start=9|xstep=5|ystep=9}}
 == Mothra ==