Lucius Chiaraviglio: /* Unnamed temperament 8L 3s (3/2-equivalent) mapping */ Range in fifths, not octaves

2026-10-30T06:49:00Z

Unnamed temperament 8L 3s (3/2-equivalent) mapping: Range in fifths, not octaves

← Older revision		Revision as of 06:49, 30 October 2026
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	== Unnamed temperament 8L 3s (3/2-equivalent) mapping ==		== Unnamed temperament 8L 3s (3/2-equivalent) mapping ==

	[[Bryan Deister]] has demonstrated a mapping of [[89edf]] using an [[8L 3s (3/2-equivalent)]] scale having a 10:3 step ratio, in [https://www.youtube.com/shorts/HB7qLo6Ac8c ''89ed(3/2) groove''] (2026). The rightward generator is a near just pentacircle minor second ~[[22/21]], but also functions as as a mildly sharp greater vicesimotertial semitone ~[[23/22]] (the pittsburghisma [[484/483]] is tempered out). This mapping is maximally efficient, with a range of just over three ~~octaves~~ (which slope upwards very gently), with no missed notes and no repeated notes.		[[Bryan Deister]] has demonstrated a mapping of [[89edf]] using an [[8L 3s (3/2-equivalent)]] scale having a 10:3 step ratio, in [https://www.youtube.com/shorts/HB7qLo6Ac8c ''89ed(3/2) groove''] (2026). The rightward generator is a near just pentacircle minor second ~[[22/21]], but also functions as as a mildly sharp greater vicesimotertial semitone ~[[23/22]] (the pittsburghisma [[484/483]] is tempered out). This mapping is maximally efficient, with a range of just over three fifths (which slope upwards very gently), with no missed notes and no repeated notes.

	{{Lumatone EDO mapping\|n=89\|start=5\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=89\|start=5\|xstep=10\|ystep=-7}}

Lucius Chiaraviglio: Create page, starting with Bryan Deister's maximally efficient mapping for 89edf

2026-10-27T18:05:02Z

Create page, starting with Bryan Deister's maximally efficient mapping for 89edf

New page

Potentially many ways exist to map [[89edf]] to the Lumatone; however, since this is a non-octave tuning, the [[Standard Lumatone mapping for Pythagorean]] is not one of them.

== Unnamed temperament 8L 3s (3/2-equivalent) mapping ==

[[Bryan Deister]] has demonstrated a mapping of [[89edf]] using an [[8L 3s (3/2-equivalent)]] scale having a 10:3 step ratio, in [https://www.youtube.com/shorts/HB7qLo6Ac8c ''89ed(3/2) groove''] (2026). The rightward generator is a near just pentacircle minor second ~[[22/21]], but also functions as as a mildly sharp greater vicesimotertial semitone ~[[23/22]] (the pittsburghisma [[484/483]] is tempered out). This mapping is maximally efficient, with a range of just over three octaves (which slope upwards very gently), with no missed notes and no repeated notes.

{{Lumatone EDO mapping|n=89|start=5|xstep=10|ystep=-7}}

{{todo|complete page|inline=1|comment=Need a Navbox Lumatone that doesn't try to insert Lumatone mapping for non-octave tuning pages into the Lumatone mapping for EDO pages.}}
[[Category:Lumatone mappings]]

Lumatone mapping for 89edf - Revision history

Lucius Chiaraviglio: /* Unnamed temperament 8L 3s (3/2-equivalent) mapping */ Range in fifths, not octaves

Lucius Chiaraviglio: Create page, starting with Bryan Deister's maximally efficient mapping for 89edf