Lumatone mapping for 21edo - Revision history

Lucius Chiaraviglio: /* Gorgo */ Add demo video; move note 0 to maximize note 0 to note 0 octaves, but with a compromise to avoid forcing an early vertical wraparound

2026-06-02T03:48:41Z

Gorgo: Add demo video; move note 0 to maximize note 0 to note 0 octaves, but with a compromise to avoid forcing an early vertical wraparound

← Older revision		Revision as of 03:48, 2 June 2026
Line 6:		Line 6:

	== Gorgo ==		== Gorgo ==
	Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.		Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range (nearly 7¼, with a slight upward slope). [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/9a-nJ_Ml9z8 ''21edo groove''] (2026).
	{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=21\|start=10\|xstep=4\|ystep=1}}

	Or this inverted version of the above, which is based on the [[4L 5s]] scale:		Or this inverted version of the above, which is based on the [[4L 5s]] scale:

Lucius Chiaraviglio: /* Gorgo */ Insert Bryan Deister's Augmented (August) mapping after this

2026-06-02T03:32:43Z

Gorgo: Insert Bryan Deister's Augmented (August) mapping after this

← Older revision		Revision as of 03:32, 2 June 2026
Line 8:		Line 8:
	Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.		Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.
	{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}


	Or this inverted version of the above, which is based on the [[4L 5s]] scale:		Or this inverted version of the above, which is based on the [[4L 5s]] scale:
	{{Lumatone EDO mapping\|n=21\|start=9\|xstep=5\|ystep=-4}}		{{Lumatone EDO mapping\|n=21\|start=9\|xstep=5\|ystep=-4}}

			== Augmented (August) ==
			It is possible to use [[21edo]] for some types of blues music, taking advantage of its highly accurate [[7/1\|7th harmonic]], as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/watch?v=1S4C-m_Dcno ''21edo improv''] (2026). The mapping for this uses a sharp septimal minor third ~[[7/6]] as a generator with the octave divided in to three parts as a sharp classic major third ~[[5/4]], making this an [[augmented_(temperament)\|augmented temperament]] mapping of the flat fifth ([[august]]) variety, with scales [[3L 3s]] proceeding right and down-right and [[8L 1s (4/1-equivalent)]] proceeding right, with both scales having a 5:2 step ratio. (The ⅓-octave complement of ~[[7/6]] is a mildly-flat septimal diatonic semitone ~[[15/14]], which is one key down-right, a convenient mapping for a diatonic semitone.) The range is about 6¾ octaves, and the octaves slope down considerably (incurring vertical wraparounds mitigated by repeated notes), while the double octaves slope upwards mildly.
			{{Lumatone EDO mapping\|n=21\|start=2\|xstep=5\|ystep=-3}}

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

ArrowHead294 at 14:43, 23 March 2025

2025-03-23T14:43:15Z

← Older revision		Revision as of 14:43, 23 March 2025
Line 1:		Line 1:
	{{Lumatone mapping intro}}		{{Lumatone mapping intro}}

			== Whitewood ==
	The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.		The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.
	{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}

			== Gorgo ==
	Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.		Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.
	{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}


			Or this inverted version of the above, which is based on the [[4L 5s]] scale:
			{{Lumatone EDO mapping\|n=21\|start=9\|xstep=5\|ystep=-4}}

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

ArrowHead294 at 18:12, 14 March 2025

2025-03-14T18:12:13Z

← Older revision		Revision as of 18:12, 14 March 2025
Line 1:		Line 1:
	{{Lumatone mapping intro}} The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.		{{Lumatone mapping intro}}

			The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.
	{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}

ArrowHead294 at 18:12, 14 March 2025

2025-03-14T18:12:02Z

← Older revision		Revision as of 18:12, 14 March 2025
Line 1:		Line 1:
	~~There are several conceivable ways to map [[21edo]] onto the Lumatone keyboard. However, as it has multiple small rings of 5ths, the [[Standard~~ Lumatone mapping ~~for Pythagorean]] is not one of them.~~ The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.		{{Lumatone mapping intro}} The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.
	{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}

ArrowHead294 at 16:11, 14 March 2025

2025-03-14T16:11:11Z

← Older revision		Revision as of 16:11, 14 March 2025
Line 1:		Line 1:
	There are several conceivable ways to map [[21edo]] onto the Lumatone keyboard. However, as it has multiple small rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.		There are several conceivable ways to map [[21edo]] onto the Lumatone keyboard. However, as it has multiple small rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.
	{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}		{{Lumatone EDO mapping\|n=21\|start=17\|xstep=3\|ystep=-1}}


	Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.		Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.

ArrowHead294 at 16:49, 11 February 2025

2025-02-11T16:49:36Z

← Older revision		Revision as of 16:49, 11 February 2025
Line 5:		Line 5:
	{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}

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

ArrowHead294: Categories are added automatically now

2024-11-17T01:25:09Z

Categories are added automatically now

← Older revision		Revision as of 01:25, 17 November 2024
Line 6:		Line 6:

	{{Lumatone mapping navigation}}		{{Lumatone mapping navigation}}

	~~[[Category:Lumatone mappings]] [[Category:21edo]]~~

ArrowHead294: Template works without needing argument now

2024-11-17T01:21:04Z

Template works without needing argument now

← Older revision		Revision as of 01:21, 17 November 2024
Line 5:		Line 5:
	{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}

	{{Lumatone mapping navigation~~\|21~~}}		{{Lumatone mapping navigation}}

	[[Category:Lumatone mappings]] [[Category:21edo]]		[[Category:Lumatone mappings]] [[Category:21edo]]

BudjarnLambeth at 00:55, 17 November 2024

2024-11-17T00:55:25Z

← Older revision		Revision as of 00:55, 17 November 2024
Line 4:		Line 4:
	Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.		Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.
	{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=21\|start=3\|xstep=4\|ystep=1}}

			{{Lumatone mapping navigation\|21}}

	[[Category:Lumatone mappings]] [[Category:21edo]]		[[Category:Lumatone mappings]] [[Category:21edo]]