Lumatone mapping for 38edo - Revision history

Lucius Chiaraviglio: /* Bison + Hemikleismic + Divination + Hocus Lumatone mappings */ Fix heading; insert Bryan Deister's Bison + Hemisensi + Hemikleismic mapping before this

2026-01-28T07:51:56Z

Bison + Hemikleismic + Divination + Hocus Lumatone mappings: Fix heading; insert Bryan Deister's Bison + Hemisensi + Hemikleismic mapping before this

← Older revision		Revision as of 07:51, 28 January 2026
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	{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}

	== Bison + Hemikleismic + Divination + Hocus ~~Lumatone mappings~~ ==		== Bison + Hemisensi + Hemikleismic ==
			It is possible to map [[38edo\|38df]] to support scales [[4L 2s]] (7:5 step ratio, and proceeding overall down-right) and [[7L 1s]] (5:3 step ratio, with the small step proceeding right + up-right), supporting temperaments [[Sensipent_family#Bison\|bison]], [[Kleismic_family#Hemisensi\|hemisensi]], and [[Kleismic_family#Hemikleismic\|hemikleismic]]. [[Bryan Deister]] has demonstrated this layout in [https://www.youtube.com/shorts/Gdx4hk7FKU0 ''<nowiki>waltz in 38edo [short]</nowiki>''] (2026), motivated by the wish to reverse major and minor thirds but without needing a super-flat fifth. This yields a range of a bit over 4¾ octaves, but with a severe downwards slope that incurs vertical wraparounds.
			{{Lumatone EDO mapping\|n=38\|start=17\|xstep=5\|ystep=2}}

			== Bison + Hemikleismic + Divination + Hocus ==
	[[Bryan Deister]] has demonstrated a [[2L 4s]] (step ratio 7:6) mapping for [[38edo]] in [https://www.youtube.com/shorts/QcFEW45uxHY ''38edo improv''] (2025) that functions for [[Sensipent_family#Bison\|Bison]], [[Kleismic_family#Hemikleismic\|Hemikleismic]], [[Magic_family#Divination\|Divination]], and [[Magic_family#Hocus\|Hocus]] temperaments. The range is just under 5½ octaves, and the octaves slope down only slightly.		[[Bryan Deister]] has demonstrated a [[2L 4s]] (step ratio 7:6) mapping for [[38edo]] in [https://www.youtube.com/shorts/QcFEW45uxHY ''38edo improv''] (2025) that functions for [[Sensipent_family#Bison\|Bison]], [[Kleismic_family#Hemikleismic\|Hemikleismic]], [[Magic_family#Divination\|Divination]], and [[Magic_family#Hocus\|Hocus]] temperaments. The range is just under 5½ octaves, and the octaves slope down only slightly.
	{{Lumatone EDO mapping\|n=38\|start=19\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=38\|start=19\|xstep=6\|ystep=1}}

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

Lucius Chiaraviglio: Add 2 mappings by Bryan Deister; touch up descriptions of some of the other mappings

2025-10-09T19:01:41Z

Add 2 mappings by Bryan Deister; touch up descriptions of some of the other mappings

← Older revision		Revision as of 19:01, 9 October 2025
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	{{Lumatone mapping intro}} Even the b val does not generate a diatonic or antidiatonic scale~~, and the~~ bb~~ ~~val is very flat indeed.		{{Lumatone mapping intro}} Even the b val does not generate a diatonic or antidiatonic scale.

			== Antidiatonic/Balzano ==
			The bb val fifth is very flat indeed, generating a very lopsided [[2L 5s]] scale having a 9:4 step ratio or a [[2L 7s]] scale (with backtracking) having a 5:4 step ratio.
	{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}		{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}

	== Neutral thirds ==		== Neutral thirds ==
	Instead, as slicing the perfect fifth in two results in an essentially perfect [[11/9]], it makes a lot of sense to use ~~the~~ [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].		Instead, as slicing the perfect fifth in two results in an essentially perfect [[11/9]], it makes a lot of sense to use a [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]]. The versions below present a tradeoff familiar for Neutral Thirds mappings, between rotating the notes of the diatonic scale or incurring a considerable slope of the octaves that causes vertical wraparounds.

			=== Rotated (Opossum + Ptolemy) ===
			A rotated version yields a range of five octaves but for a few missing notes in the bottom octave (or top octave, depending upon the placement of note 0), with octaves sloping down mildly. This version lends itself to [[Porcupine_family#Opossum\|Opossum]] and [[Rastmic_clan#Ptolemy\|Ptolemy]].
	{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}		{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}

			=== Non-Rotated (Opossum + Hemisensi + Ptolemy) ===
			[[Bryan Deister]] has demonstrated a [[3L 4s]] (6:5 step ratio) layout for [[38edo]] in [https://www.youtube.com/shorts/rewy-32BfRs ''Spirit of the Night - Secret of Mana (microtonal cover in 38edo)''] (2025). The range is a bit over five octaves, although at the cost of octaves sloping down severely enough to incur two vertical wraparounds. This mapping lends itself to [[Porcupine_family#Opossum\|Opossum]], [[Sensipent_family#Hemisensi\|Hemisensi]], and [[Rastmic_clan#Ptolemy\|Ptolemy]].
			{{Lumatone EDO mapping\|n=38\|start=30\|xstep=6\|ystep=-1}}

	== Astrology ==		== Astrology ==
	Or if you want greater range while still reaching a lot of good intervals in few steps, the [[Astrology]] mapping works well:		Or if you want greater range while still reaching a lot of good intervals in few steps while only incurring a gentle downward slope of octaves, the [[Astrology]] mapping works well.
	{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}

			== Bison + Hemikleismic + Divination + Hocus Lumatone mappings ==
			[[Bryan Deister]] has demonstrated a [[2L 4s]] (step ratio 7:6) mapping for [[38edo]] in [https://www.youtube.com/shorts/QcFEW45uxHY ''38edo improv''] (2025) that functions for [[Sensipent_family#Bison\|Bison]], [[Kleismic_family#Hemikleismic\|Hemikleismic]], [[Magic_family#Divination\|Divination]], and [[Magic_family#Hocus\|Hocus]] temperaments. The range is just under 5½ octaves, and the octaves slope down only slightly.
			{{Lumatone EDO mapping\|n=38\|start=19\|xstep=6\|ystep=1}}

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

ArrowHead294 at 15:07, 23 March 2025

2025-03-23T15:07:22Z

← Older revision		Revision as of 15:07, 23 March 2025
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	{{Lumatone mapping intro}} Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.		{{Lumatone mapping intro}} Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.
	{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}		{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}

			== Neutral thirds ==
	Instead, as slicing the perfect fifth in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].		Instead, as slicing the perfect fifth in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].
	{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}		{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}

			== Astrology ==
	Or if you want greater range while still reaching a lot of good intervals in few steps the [[~~astrology~~]] mapping works well.		Or if you want greater range while still reaching a lot of good intervals in few steps, the [[Astrology]] mapping works well:
	{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}

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

ArrowHead294 at 18:20, 14 March 2025

2025-03-14T18:20:25Z

← Older revision		Revision as of 18:20, 14 March 2025
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	~~[[38edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo\|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard~~ Lumatone mapping ~~for Pythagorean]] only reaches [[19edo]] intervals.~~ Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.		{{Lumatone mapping intro}} Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.
	{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}		{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}


	Instead, as slicing the perfect ~~5th~~ in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].		Instead, as slicing the perfect fifth in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].
	{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}		{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}

ArrowHead294 at 16:55, 11 February 2025

2025-02-11T16:55:47Z

← Older revision		Revision as of 16:55, 11 February 2025
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	[[38edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo\|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[19edo]] intervals. Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.		[[38edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo\|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[19edo]] intervals. Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.
	{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}		{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}


	Instead, as slicing the perfect 5th in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].		Instead, as slicing the perfect 5th in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].
	{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}		{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}


	Or if you want greater range while still reaching a lot of good intervals in few steps the [[astrology]] mapping works well.		Or if you want greater range while still reaching a lot of good intervals in few steps the [[astrology]] mapping works well.
	{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}

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

ArrowHead294: Template adds categories automatically

2024-11-17T01:36:31Z

Template adds categories automatically

← Older revision		Revision as of 01:36, 17 November 2024
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	{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}		{{Lumatone EDO mapping\|n=38\|start=10\|xstep=4\|ystep=5}}

	Instead, as slicing the perfect 5th in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the neutral thirds mapping ~~to represent 38edo~~.		Instead, as slicing the perfect 5th in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the [[Lumatone mapping for neutral thirds scales\|neutral thirds mapping]].
	{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}		{{Lumatone EDO mapping\|n=38\|start=31\|xstep=5\|ystep=1}}

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

	~~[[Category:Lumatone mappings]] [[Category:38edo]]~~

BudjarnLambeth at 01:28, 17 November 2024

2024-11-17T01:28:59Z

← Older revision		Revision as of 01:28, 17 November 2024
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	Or if you want greater range while still reaching a lot of good intervals in few steps the [[astrology]] mapping works well.		Or if you want greater range while still reaching a lot of good intervals in few steps the [[astrology]] mapping works well.
	{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}		{{Lumatone EDO mapping\|n=38\|start=35\|xstep=7\|ystep=-2}}

			{{Lumatone mapping navigation}}

	[[Category:Lumatone mappings]] [[Category:38edo]]		[[Category:Lumatone mappings]] [[Category:38edo]]

Yourmusic Productions: Create Page.

2023-07-20T08:37:26Z

Create Page.

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[[38edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[19edo]] intervals. Even the b val does not generate a diatonic or antidiatonic scale, and the bb val is very flat indeed.
{{Lumatone EDO mapping|n=38|start=10|xstep=4|ystep=5}}

Instead, as slicing the perfect 5th in two results in an essentially perfect [[11/9]], it makes a lot of sense to use the neutral thirds mapping to represent 38edo.
{{Lumatone EDO mapping|n=38|start=31|xstep=5|ystep=1}}

Or if you want greater range while still reaching a lot of good intervals in few steps the [[astrology]] mapping works well.
{{Lumatone EDO mapping|n=38|start=35|xstep=7|ystep=-2}}

[[Category:Lumatone mappings]] [[Category:38edo]]