Lumatone mapping for 35edo: Difference between revisions

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{{Lumatone mapping intro}} The most sensible option is probably to combine the [[5edo]] and [[7edo]] rings, with the vertical axis splitting the difference.
There are many conceivable ways to map [[35edo]] onto the onto the Lumatone keyboard. However, the 35edo [[patent val]] (flat fifth shared with [[7edo]]) has five mutually-exclusive rings of fifths, and the 35b (sharp fifth shared with [[5edo]]) val has seven mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] is not one of them.
 
== Combined [[Blackwood]] and [[Whitewood]] ==
The most sensible option is probably to combine the [[5edo]] and [[7edo]] rings, with the vertical axis splitting the difference.
{{Lumatone EDO mapping|n=35|start=23|xstep=7|ystep=-2}}
{{Lumatone EDO mapping|n=35|start=23|xstep=7|ystep=-2}}


== Whitewood + Sensi/Sentry ==
[[Bryan Deister]] has used a [[whitewood]] mapping for [[35edo]] which also functions for an [[3L&nbsp;5s]] scale (5:4 step ratio) for a 2.5/3.9/7 version of [[sensi]] temperament ([[subgroup_temperaments#Sentry|sentry]]), or a 2.3.5.13 version of it if using the 35f [[val]], in [''Whistling Like An Oberon - 35edo'' (2026) ([https://www.youtube.com/shorts/rTkr2YHDvZM <nowiki>[short 1]</nowiki>], [https://www.youtube.com/shorts/AvIGI8TG9_8 <nowiki>[short 2]</nowiki>]). The very sharp major third generator 13\35 (one key right plus two keys down-right) can be taken as 9/7 in the former version of the temperament ([[fractional subgroup]]), or as 13/10 in the latter version (35f). The range is the range is just over 4½ octaves, which slope upwards with the rows (as expected for a whitewood mapping).
{{Lumatone EDO mapping|n=35|start=23|xstep=5|ystep=-1}}


== Muggles ==
If you want a heptatonic scale with distinct step sizes that makes fingering 5-limit chords easier, the [[muggles]] mapping is functional, if somewhat uneven.
If you want a heptatonic scale with distinct step sizes that makes fingering 5-limit chords easier, the [[muggles]] mapping is functional, if somewhat uneven.
{{Lumatone EDO mapping|n=35|start=19|xstep=2|ystep=7}}
{{Lumatone EDO mapping|n=35|start=19|xstep=2|ystep=7}}
== Baldy ==
[[Bryan Deister]] has used a [[baldy]] mapping for [[35edo]], with a [[5L&nbsp;1s]] scale (6:5 step ratio), in [https://www.youtube.com/shorts/6X1-692axAk ''35edo''] (2025). Baldy is like [[Garibaldi]], but only uses every other generator increment &mdash; thus using the Pythagorean major second ~[[9/8]], which is very accurate in 35edo, instead of the fifth~[[3/2]], which is very inaccurate in 35edo (with both possible values being just outside diatonic range). The range is just under 5½ octaves, and the octaves slope upwards moderately.
{{Lumatone EDO mapping|n=35|start=19|xstep=6|ystep=-1}}


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

Latest revision as of 23:08, 21 January 2026

There are many conceivable ways to map 35edo onto the onto the Lumatone keyboard. However, the 35edo patent val (flat fifth shared with 7edo) has five mutually-exclusive rings of fifths, and the 35b (sharp fifth shared with 5edo) val has seven mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Combined Blackwood and Whitewood

The most sensible option is probably to combine the 5edo and 7edo rings, with the vertical axis splitting the difference.

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Whitewood + Sensi/Sentry

Bryan Deister has used a whitewood mapping for 35edo which also functions for an 3L 5s scale (5:4 step ratio) for a 2.5/3.9/7 version of sensi temperament (sentry), or a 2.3.5.13 version of it if using the 35f val, in [Whistling Like An Oberon - 35edo (2026) ([short 1], [short 2]). The very sharp major third generator 13\35 (one key right plus two keys down-right) can be taken as 9/7 in the former version of the temperament (fractional subgroup), or as 13/10 in the latter version (35f). The range is the range is just over 4½ octaves, which slope upwards with the rows (as expected for a whitewood mapping).

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Muggles

If you want a heptatonic scale with distinct step sizes that makes fingering 5-limit chords easier, the muggles mapping is functional, if somewhat uneven.

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Baldy

Bryan Deister has used a baldy mapping for 35edo, with a 5L 1s scale (6:5 step ratio), in 35edo (2025). Baldy is like Garibaldi, but only uses every other generator increment — thus using the Pythagorean major second ~9/8, which is very accurate in 35edo, instead of the fifth~3/2, which is very inaccurate in 35edo (with both possible values being just outside diatonic range). The range is just under 5½ octaves, and the octaves slope upwards moderately.

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