Lumatone mapping for 18edo - Revision history

Lucius Chiaraviglio: /* Flat neutral thirds */ Add Bryan Deister's pseudo-isomorphic pseudo-diatonic mapping

2025-09-27T20:55:44Z

Flat neutral thirds: Add Bryan Deister's pseudo-isomorphic pseudo-diatonic mapping

← Older revision		Revision as of 20:55, 27 September 2025
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	This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.		This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.
	{{Lumatone EDO mapping\|n=18\|start=16\|xstep=5\|ystep=-2}}		{{Lumatone EDO mapping\|n=18\|start=16\|xstep=5\|ystep=-2}}

			== Pseudo-Isomorphic Pseudo-Diatonic ==

			A pseudo-isomorphic pseudo-diatonic mapping for [[18edo]] that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level — it is the [[19edo]] diatonic layout, but with only 18 unique notes per octave. Alternatively, it can be interpreted as the 4L 3s Janko layout above, but with a duplicate of note 0 added, which allows it to support both the 4L 3s scale (3:2 step ratio) and a 5L 1s<sub>1</sub> 1s<sub>2</sub> MODMOS scale (3:2:1 step ratio). This is demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/hNmse4IUWL0 ''18edo improv''] (2025).

			{{Lumatone EDO mapping\|n=19\|start=-2\|xstep=3\|ystep=-1}}

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

Lucius Chiaraviglio: /* Flat neutral thirds */ Add demo video

2025-08-23T22:23:33Z

Flat neutral thirds: Add demo video

← Older revision		Revision as of 22:23, 23 August 2025
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	== Flat neutral thirds ==		== Flat neutral thirds ==
	5\18 produces a [[4L 3s]]-based Jankó mapping.		5\18 produces a [[4L 3s]]-based Jankó mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/c26Yp_aMgDw ''Lament in 18edo''] (2025).
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}

Yourmusic Productions: Add music.

2025-08-17T22:33:21Z

Add music.

← Older revision		Revision as of 22:33, 17 August 2025
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	== Wide fifth ==		== Wide fifth ==
	7\18 produces a [[5L 3s]]-based Jankó mapping.		7\18 produces a [[5L 3s]]-based Jankó mapping. [[Bryan Deister]] uses this mapping in [https://www.youtube.com/shorts/-oi5eJA65Zc Waltz in 18edo].
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}

ArrowHead294 at 16:47, 26 March 2025

2025-03-26T16:47:26Z

← Older revision		Revision as of 16:47, 26 March 2025
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	There are many conceivable ways to map [[18edo]] onto the onto the Lumatone keyboard. However, it has no generators that create a diatonic or antidiatonic scale that covers the whole gamut, so the [[Standard Lumatone mapping ~~for Pythagorean]] is not one of them. Due to its composite nature, only~~ two generators work at all to produce single period mos scales.		{{Lumatone mapping intro}} Only two generators work at all to produce single-period mos scales.

	== Wide fifth ==		== Wide fifth ==
	7/18 produces a [[5L 3s]]-based Jankó mapping.		7\18 produces a [[5L 3s]]-based Jankó mapping.
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}

	~~This can be compressed down to a [[2L 1s]] mapping that is useful for maximising range.~~

			This can be compressed down to a [[2L 1s]] mapping that is useful for maximising range.
	{{Lumatone EDO mapping\|n=18\|start=16\|xstep=7\|ystep=-3}}		{{Lumatone EDO mapping\|n=18\|start=16\|xstep=7\|ystep=-3}}

	== Flat neutral thirds ==		== Flat neutral thirds ==
	5/18 produces a [[4L 3s]]-based Jankó mapping.		5\18 produces a [[4L 3s]]-based Jankó mapping.
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}

	~~This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.~~

			This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.
	{{Lumatone EDO mapping\|n=18\|start=16\|xstep=5\|ystep=-2}}		{{Lumatone EDO mapping\|n=18\|start=16\|xstep=5\|ystep=-2}}

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

Yourmusic Productions: As the highest edo with no diatonic or antidiatonic scale at all, this is a special case that needs its own intro and expansion on how to best span it.

2025-03-26T12:17:15Z

As the highest edo with no diatonic or antidiatonic scale at all, this is a special case that needs its own intro and expansion on how to best span it.

← Older revision		Revision as of 12:17, 26 March 2025
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	{{Lumatone mapping ~~intro}}~~		There are many conceivable ways to map [[18edo]] onto the onto the Lumatone keyboard. However, it has no generators that create a diatonic or antidiatonic scale that covers the whole gamut, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Due to its composite nature, only two generators work at all to produce single period mos scales.

	[[5L~~ ~~3s]]-based Jankó mapping ~~for [[18edo]]:~~		== Wide fifth ==
			7/18 produces a [[5L 3s]]-based Jankó mapping.
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}

			This can be compressed down to a [[2L 1s]] mapping that is useful for maximising range.

	[[4L~~ ~~3s]]-based Jankó mapping ~~for [[18edo]]:~~		{{Lumatone EDO mapping\|n=18\|start=16\|xstep=7\|ystep=-3}}

			== Flat neutral thirds ==
			5/18 produces a [[4L 3s]]-based Jankó mapping.
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}

			This can also be compressed down to a [[3L 1s]] mapping that is useful if you want to keep octaves as close to horizontal as possible.

			{{Lumatone EDO mapping\|n=18\|start=16\|xstep=5\|ystep=-2}}

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

ArrowHead294 at 18:09, 14 March 2025

2025-03-14T18:09:33Z

← Older revision		Revision as of 18:09, 14 March 2025
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	{{Lumatone mapping intro}}		{{Lumatone mapping intro}}

	[[5L 3s]]-based Jankó mapping for [[18edo]]:		[[5L 3s]]-based Jankó mapping for [[18edo]]:
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}

ArrowHead294 at 18:09, 14 March 2025

2025-03-14T18:09:24Z

← Older revision		Revision as of 18:09, 14 March 2025
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			{{Lumatone mapping intro}}
	[[5L 3s]]-based Jankó mapping for [[18edo]]:		[[5L 3s]]-based Jankó mapping for [[18edo]]:
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}

ArrowHead294 at 16:10, 14 March 2025

2025-03-14T16:10:44Z

← Older revision		Revision as of 16:10, 14 March 2025
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	[[5L 3s]]-based Jankó mapping for [[18edo]]:		[[5L 3s]]-based Jankó mapping for [[18edo]]:
			{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}

	~~{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-2}}~~

	[[4L 3s]]-based Jankó mapping for [[18edo]]:		[[4L 3s]]-based Jankó mapping for [[18edo]]:
	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}

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

ArrowHead294 at 16:49, 11 February 2025

2025-02-11T16:49:29Z

← Older revision		Revision as of 16:49, 11 February 2025
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	{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=18\|start=0\|xstep=3\|ystep=-1}}

	{{Lumatone ~~mapping navigation~~}}		{{Navbox Lumatone}}

ArrowHead294: Categories are added automatically now

2024-11-17T01:24:23Z

Categories are added automatically now

← Older revision		Revision as of 01:24, 17 November 2024
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	{{Lumatone mapping navigation}}		{{Lumatone mapping navigation}}

	~~[[Category:Lumatone mappings]]~~