Lumatone mapping for 26edo - Revision history

Hotcrystal0: why does this have a link

2026-08-25T12:51:41Z

why does this have a link

← Older revision		Revision as of 12:51, 25 August 2026
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	== Diatonic ==		== Diatonic ==
	Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of [[flattone]] itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025) and explains the harmonic characteristics of 26edo (with demonstrations of chord shapes on this layout) in [https://www.youtube.com/watch?v=HrZ-PoUXGTg ''A rough introduction to 26edo on the Lumatone'']. However, being at the flat end of flattone, 26edo does not have very accurate 5-limit approximations, so other options are probably preferable.		Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of [[flattone]] itself, 26edo requires some adjustment to convert common practice music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025) and explains the harmonic characteristics of 26edo (with demonstrations of chord shapes on this layout) in [https://www.youtube.com/watch?v=HrZ-PoUXGTg ''A rough introduction to 26edo on the Lumatone'']. However, being at the flat end of flattone, 26edo does not have very accurate 5-limit approximations, so other options are probably preferable.
	{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}

Lucius Chiaraviglio: Reorganize; fill out descriptions add Bryan Deister's Fifive mapping

2026-08-25T05:16:35Z

Reorganize; fill out descriptions add Bryan Deister's Fifive mapping

← Older revision		Revision as of 05:16, 25 August 2026
Line 2:		Line 2:

	== Diatonic ==		== Diatonic ==
	Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of flattone itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025) and explains the harmonic characteristics of 26edo (with demonstrations of chord shapes on this layout) in [https://www.youtube.com/watch?v=HrZ-PoUXGTg ''A rough introduction to 26edo on the Lumatone''] ~~by [[YoVariable]] (2026)~~.		Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of [[flattone]] itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025) and explains the harmonic characteristics of 26edo (with demonstrations of chord shapes on this layout) in [https://www.youtube.com/watch?v=HrZ-PoUXGTg ''A rough introduction to 26edo on the Lumatone'']. However, being at the flat end of flattone, 26edo does not have very accurate 5-limit approximations, so other options are probably preferable.
	{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}

	== Orgone ==		== Orgone + Superkleismic ==
	~~However, 26edo is a [[flattone]] system that does not have very accurate 5-limit approximations, so other options are probably preferable.~~ If you want to ~~maximise~~ the playable range and put the best consonances close to each other, the [[orgone]] mapping is the clear winner.		If you want to maximize the playable range and put the best consonances close to each other, the [[orgone]] + [[superkleismic]] mapping is the clear winner. These temperaments meet at 26edo; they use a sharp classic minor third ~[[6/5]] (as 7\26) as their generator, which can also be mapped with greater accuracy but much greater complexity as a slightly flat doublewide minor third ~[[35/29]]. Either way, the generator chain is accessed very simply by moving right one key at a time. Two keys right yields a slightly flat undecimal minor fifth ~[[16/11]]; three keys right yields a near-just septimal minor seventh ~[[7/4]]; nine keys right with two octave-reductions (which translates into two keys up and one key right) gives the sharp fourth ~[[4/3]]; and another key right from this gives the very sharp classic minor sixth ~[[8/5]].
	{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}

	== ~~Other mappings~~ ==		== Lemba ==
	The [[~~Lemba~~]] ~~and [[Hendec]] mappings also work particularly~~ well in 26edo.		The [[lemba]] mapping works well in 26edo, as [[Bryan Deister]] has demonstrated in [https://www.youtube.com/shorts/Gw9Fu5MAozs ''Waltz in 26edo''] (2025); he explains that right (which is a near-just septimal major second ~[[8/7]]) and up yields the sharp classic minor third ~[[6/5]] and right three times yields the flat fifth ~[[3/2]] (bypassing the semioctave-reduction). The range is just under six octaves, with a gentle downward slope.

	~~=== Lemba ===~~
	[[Bryan Deister]] has demonstrated ~~this mapping~~ in [https://www.youtube.com/shorts/Gw9Fu5MAozs ''Waltz in 26edo''] (2025)~~, and~~ explains that right and up yields the minor third (~[[6/5]]~~, fairly sharp)~~ and right three times yields the fifth (~[[3/2]], ~~fairly flat)~~.
	{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}

	=== Hendec ===		== Hendec ==
			For those who favor stacking major rather than minor thirds, 26edo offers a good option with [[hendec]], which uses a slightly flat undecimal (pentacircle) major third ~[[14/11]] as its generator, which at 9\26, is reached simply by moving one key right plus one key down-right. Two of these generators make the very sharp classic minor sixth ~[[8/5]]. Five of these generators after octave-reduction (which translates to one key right plus four keys down-right) yields the flat classic major sixth ~[[5/3]]. The octaves still slope downwards gently, with a range a bit less than that of lemba, but in exchange, the diatonic scale is also easily accessible in a way reminiscent of neutral thirds mappings.
	{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}

			== Fifive ==
			With the fifth ~[[3/2]] being divisible by 5 (going from 15\26 down to 3\26, which is a near-just lesser tridecimal neutral second ~[[13/12]]), [[26edo]] supports [[fifive]] temperament, as shown in [[Bryan Deister]]'s [https://www.youtube.com/shorts/WvnJb5VNGj4 ''<nowiki>Caprice in 26edo [short clip]</nowiki>''] (2026). This uses 3\26 as the (rightward) generator, and splits the octave in half. Two of these make a sharp septimal minor third ~[[7/6]] which also functions as a flat tridecimal minor third ~[[13/11]], or a mildly flat diatismic minor third ~[[20/17]]; three of these make a very flat septimal major third ~[[9/7]] or a slightly flat undecimal (pentacircle) major third ~[[14/11]]; four of these make a slightly sharp undecimal major fourth ~[[11/8]]; five of these make a very flat fifth ~3/2 if bypassing the semioctave-reduction, or a very flat al-Farabi quarter tone ~[[33/32]] with the semioctave-reduction. The range is about 4¾ octaves, and the octaves slope upwards so gently that it is tempting to move the note 0 position and use the generous allotment of repeated notes to split this mapping into two manuals.
			{{Lumatone EDO mapping\|n=26\|start=19\|xstep=3\|ystep=1}}

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

Lucius Chiaraviglio: /* Diatonic */ Add video that demonstrates chord shapes with running commentary

2026-07-05T01:54:10Z

Diatonic: Add video that demonstrates chord shapes with running commentary

← Older revision		Revision as of 01:54, 5 July 2026
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	== Diatonic ==		== Diatonic ==
	Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of flattone itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025).		Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of flattone itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025) and explains the harmonic characteristics of 26edo (with demonstrations of chord shapes on this layout) in [https://www.youtube.com/watch?v=HrZ-PoUXGTg ''A rough introduction to 26edo on the Lumatone''] by [[YoVariable]] (2026).
	{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}

Lucius Chiaraviglio: /* Diatonic */ Fix accidentally duplicated symbols

2025-12-26T08:26:24Z

Diatonic: Fix accidentally duplicated symbols

← Older revision		Revision as of 08:26, 26 December 2025
Line 2:		Line 2:

	== Diatonic ==		== Diatonic ==
	Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of flattone itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[[[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025).		Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of flattone itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025).
	{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}

Lucius Chiaraviglio: /* Diatonic */ Add demo video

2025-12-26T08:25:17Z

Diatonic: Add demo video

← Older revision		Revision as of 08:25, 26 December 2025
Line 2:		Line 2:

	== Diatonic ==		== Diatonic ==
			Being in the [[flattone]] part of [[meantone]], and indeed at the flat end of flattone itself, 26edo requires some adjustment to convert [[common practice]] music to sound right, and what is technically a diatonic layout (although fairly extreme in its softness) may require different usage than in a more middle-of-the-road diatonic tuning. [[[[YoVariable]] demonstrates this mapping in [https://www.youtube.com/watch?v=01w70PbbT3o ''Jingle Bells (26edo microtonal Lumatone cover + Mystery Song)''] (2025).
	{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}

Lucius Chiaraviglio: /* Lemba */ Add demo video and Bryan Deister's explanationusage

2025-08-29T08:32:44Z

Lemba: Add demo video and Bryan Deister's explanationusage

← Older revision		Revision as of 08:32, 29 August 2025
Line 12:		Line 12:

	=== Lemba ===		=== Lemba ===
			[[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/Gw9Fu5MAozs ''Waltz in 26edo''] (2025), and explains that right and up yields the minor third (~[[6/5]], fairly sharp) and right three times yields the fifth (~[[3/2]], fairly flat).
	{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}

ArrowHead294 at 14:48, 23 March 2025

2025-03-23T14:48:36Z

← Older revision		Revision as of 14:48, 23 March 2025
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	{{Lumatone mapping intro}}		{{Lumatone mapping intro}}

			== Diatonic ==
	{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}

			== Orgone ==
	However, 26edo is a [[flattone]] system that does not have very accurate 5-limit approximations, so other options are probably preferable. If you want to maximise the playable range and put the best consonances close to each other, the [[orgone]] mapping is the clear winner.		However, 26edo is a [[flattone]] system that does not have very accurate 5-limit approximations, so other options are probably preferable. If you want to maximise the playable range and put the best consonances close to each other, the [[orgone]] mapping is the clear winner.
	{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}

			== Other mappings ==
			The [[Lemba]] and [[Hendec]] mappings also work particularly well in 26edo.

	~~The [[~~Lemba~~]] and [[Hendec]] mappings also work particularly well in 26edo.~~		=== Lemba ===
	{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}

			=== Hendec ===
	{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}

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

ArrowHead294 at 18:15, 14 March 2025

2025-03-14T18:15:04Z

← Older revision		Revision as of 18:15, 14 March 2025
Line 1:		Line 1:
	~~There are many conceivable ways to map [[26edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard~~ Lumatone mapping ~~for Pythagorean]].~~		{{Lumatone mapping intro}}
	{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}


	However, as 26edo's 5-limit ~~performance is not it's best feature~~, other options are probably preferable. If you want to maximise the playable range and put the best consonances close to each other, the [[orgone]] mapping is the clear winner.		However, 26edo is a [[flattone]] system that does not have very accurate 5-limit approximations, so other options are probably preferable. If you want to maximise the playable range and put the best consonances close to each other, the [[orgone]] mapping is the clear winner.
	{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}

ArrowHead294 at 16:12, 14 March 2025

2025-03-14T16:12:35Z

← Older revision		Revision as of 16:12, 14 March 2025
Line 9:		Line 9:
	The [[Lemba]] and [[Hendec]] mappings also work particularly well in 26edo.		The [[Lemba]] and [[Hendec]] mappings also work particularly well in 26edo.
	{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}


	{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}

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

ArrowHead294 at 16:12, 14 March 2025

2025-03-14T16:12:14Z

← Older revision		Revision as of 16:12, 14 March 2025
Line 1:		Line 1:
	There are many conceivable ways to map [[26edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].		There are many conceivable ways to map [[26edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
			{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}

	~~{{Lumatone EDO mapping\|n=26\|start=-4\|xstep=4\|ystep=-1}}~~

	However, as 26edo's 5-limit performance is not it's best feature, other options are probably preferable. If you want to maximise the playable range and put the best consonances close to each other, the [[orgone]] mapping is the clear winner.		However, as 26edo's 5-limit performance is not it's best feature, other options are probably preferable. If you want to maximise the playable range and put the best consonances close to each other, the [[orgone]] mapping is the clear winner.
	{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=17\|xstep=7\|ystep=-2}}


	The [[Lemba]] and [[Hendec]] mappings also work particularly well in 26edo.		The [[Lemba]] and [[Hendec]] mappings also work particularly well in 26edo.
	{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}		{{Lumatone EDO mapping\|n=26\|start=25\|xstep=5\|ystep=-2}}

	{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=26\|start=20\|xstep=4\|ystep=1}}

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