Lumatone mapping for 35edo: Difference between revisions

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There are many conceivable ways to map [[35edo]] 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 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.

== 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 ([[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).

== 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.

[[~~Category~~:~~Lumatone mappings~~]] [[~~Category:~~35edo]]

== Baldy ==

[[Bryan Deister]] has used a [[baldy]] mapping for [[35edo]], with a [[5L 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 — 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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-There are many conceivable ways to map [[35edo]] 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 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}}
+== 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.
 {{Lumatone EDO mapping|n=35|start=19|xstep=2|ystep=7}}
-[[Category:Lumatone mappings]] [[Category:35edo]]
+== 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}}