Lumatone mapping for 88edo - Revision history

Lucius Chiaraviglio: /* Expanded Diatonic */ Insert Bryan Deister's rotated diatonic mapping after this

2026-07-14T06:08:56Z

Expanded Diatonic: Insert Bryan Deister's rotated diatonic mapping after this

← Older revision		Revision as of 06:08, 14 July 2026
Line 10:		Line 10:
	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		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
	{{Lumatone EDO mapping\|n=88\|start=79\|xstep=7\|ystep=1}}		{{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 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.
			{{Lumatone EDO mapping\|n=88\|start=9\|xstep=5\|ystep=9}}

	== Mothra ==		== Mothra ==

Yourmusic Productions: Copypasting the same line twice in quick succession looks clunky as hell.

2026-05-22T10:01:46Z

Copypasting the same line twice in quick succession looks clunky as hell.

← Older revision		Revision as of 10:01, 22 May 2026
Line 6:		Line 6:

	=== Expanded Diatonic ===		=== 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''].
	{{Lumatone EDO mapping\|n=88\|start=0\|xstep=9\|ystep=-4}}		{{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 8s]] scale that keeps octaves closer to horizontal and makes chords easy to play		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

Lucius Chiaraviglio: /* Diatonic */ Add demo video for non-expanded mapping

2026-05-22T03:26:56Z

Diatonic: Add demo video for non-expanded mapping

← Older revision		Revision as of 03:26, 22 May 2026
Line 2:		Line 2:

	== Diatonic ==		== Diatonic ==
			However, due to the size of the edo, this does not cover the whole gamut, although for a meantone mapping, this is not necessarily a show-stopper. Despite the missing notes, [[Bryan Deister]] uses this mapping in [https://www.youtube.com/shorts/g55YTKvWyK4 ''March in 88edo''] (2026).
	{{Lumatone EDO mapping\|n=88\|start=80\|xstep=14\|ystep=-5}}		{{Lumatone EDO mapping\|n=88\|start=80\|xstep=14\|ystep=-5}}

			=== 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''].		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''].
	{{Lumatone EDO mapping\|n=88\|start=0\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=88\|start=0\|xstep=9\|ystep=-4}}

Lucius Chiaraviglio: Change spaces in scale specifications to non-breaking spaces to comply with the standard for other pages

2025-08-12T19:41:31Z

Change spaces in scale specifications to non-breaking spaces to comply with the standard for other pages

← Older revision		Revision as of 19:41, 12 August 2025
Line 3:		Line 3:
	== Diatonic ==		== Diatonic ==
	{{Lumatone EDO mapping\|n=88\|start=80\|xstep=14\|ystep=-5}}		{{Lumatone EDO mapping\|n=88\|start=80\|xstep=14\|ystep=-5}}
	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''].		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''].
	{{Lumatone EDO mapping\|n=88\|start=0\|xstep=9\|ystep=-4}}		{{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 8s]] scale that keeps octaves closer to horizontal and makes chords easy to play		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
	{{Lumatone EDO mapping\|n=88\|start=79\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=88\|start=79\|xstep=7\|ystep=1}}

Yourmusic Productions: Add link to video

2025-08-12T11:18:33Z

Add link to video

← Older revision		Revision as of 11:18, 12 August 2025
Line 3:		Line 3:
	== Diatonic ==		== Diatonic ==
	{{Lumatone EDO mapping\|n=88\|start=80\|xstep=14\|ystep=-5}}		{{Lumatone EDO mapping\|n=88\|start=80\|xstep=14\|ystep=-5}}
	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.		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''].
	{{Lumatone EDO mapping\|n=88\|start=0\|xstep=9\|ystep=-4}}		{{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 8s]] scale that keeps octaves closer to horizontal and makes chords easy to play		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

Lucius Chiaraviglio: /* Other Mappings */ Fix typo

2025-07-22T08:53:14Z

Other Mappings: Fix typo

← Older revision		Revision as of 08:53, 22 July 2025
Line 18:		Line 18:

	== Other Mappings ==		== Other Mappings ==
	To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[9L 2s]] (step ratio 9:-1) scale which is not particularly intuitive to play.		To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[9L 2s]] (step ratio 10:-1) scale which is not particularly intuitive to play.
	{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}		{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}


	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Lucius Chiaraviglio: /* Other Mappings */ Make negative step ratio clear

2025-07-22T08:36:08Z

Other Mappings: Make negative step ratio clear

← Older revision		Revision as of 08:36, 22 July 2025
Line 18:		Line 18:

	== Other Mappings ==		== Other Mappings ==
	To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[9L 2s]] scale which is not particularly intuitive to play.		To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[9L 2s]] (step ratio 9:-1) scale which is not particularly intuitive to play.
	{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}		{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}


	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Yourmusic Productions: Not a typo, count the numbers. It's actually a 9L -2s scale, not a 9L 2s scale, but the linking system doesn't allow that.

2025-07-22T07:33:41Z

Not a typo, count the numbers. It's actually a 9L -2s scale, not a 9L 2s scale, but the linking system doesn't allow that.

← Older revision		Revision as of 07:33, 22 July 2025
Line 18:		Line 18:

	== Other Mappings ==		== Other Mappings ==
	To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[7L 2s]] scale which is not particularly intuitive to play.		To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[9L 2s]] scale which is not particularly intuitive to play.
	{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}		{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}


	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Lucius Chiaraviglio: /* Other Mappings */ Fix typo (88EDO does not appear in 9L 2s; appears in 8L 2s only by contortion under 44edo; appears in 7L 2s with 10:9 step ratio)

2025-07-21T09:32:11Z

Other Mappings: Fix typo (88EDO does not appear in 9L 2s; appears in 8L 2s only by contortion under 44edo; appears in 7L 2s with 10:9 step ratio)

← Older revision		Revision as of 09:32, 21 July 2025
Line 18:		Line 18:

	== Other Mappings ==		== Other Mappings ==
	To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[9L 2s]] scale which is not particularly intuitive to play.		To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[7L 2s]] scale which is not particularly intuitive to play.
	{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}		{{Lumatone EDO mapping\|n=88\|start=5\|xstep=10\|ystep=-11}}


	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Yourmusic Productions: Fix copy-pasting error.

2025-07-19T21:58:33Z

Fix copy-pasting error.

← Older revision		Revision as of 21:58, 19 July 2025
Line 8:		Line 8:
	{{Lumatone EDO mapping\|n=88\|start=79\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=88\|start=79\|xstep=7\|ystep=1}}

	== ~~Rodan~~ ==		== Mothra ==
	The [[Mothra]] mapping is also a good option, as 88edo is its higher limit optimal patent val. However, it has similar problems to the meantone mapping in that you have to choose between not having access to all the notes or heavily slanted octaves.		The [[Mothra]] mapping is also a good option, as 88edo is its higher limit optimal patent val. However, it has similar problems to the meantone mapping in that you have to choose between not having access to all the notes or heavily slanted octaves.
	=== 1L 4s ===		=== 1L 4s ===