Lumatone mapping for 21edo: Difference between revisions

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There are several conceivable ways to map [[21edo]] 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 [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale.
{{Lumatone mapping intro}}
 
== Whitewood ==
The [[Whitewood]] mapping is the one that functions in the closest way to the familiar diatonic scale. The actual near-diatonic scale is [[5L 3s]] with a 3:2 step ratio (oneirotonic), and this mapping is demonstrated in [[Stephen Weigel]]'s [https://www.youtube.com/watch?v=hxPJt812VDA''Iridescent Wenge Fugue''] (live performance version, 2026, with oneirotonic colors). Scales [[7L 7s]] (2:1 step ratio) and [[3L 6s]] (3:2 step ratio) are also supported. The range is 4⅓ octaves, and the octaves slope upwards with the rows, or gently downwards with the oneirotonic scale.
{{Lumatone EDO mapping|n=21|start=17|xstep=3|ystep=-1}}
{{Lumatone EDO mapping|n=21|start=17|xstep=3|ystep=-1}}


Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range.
== Gorgo ==
{{Lumatone EDO mapping|n=21|start=3|xstep=4|ystep=1}}
Since the 7th harmonic is the lowest one that is accurately tuned, the [[gorgo]] mapping works well for creating consonant combinations of notes, and also has a wider range (nearly 7¼, with a slight upward slope). [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/9a-nJ_Ml9z8 ''21edo groove''] (2026).
{{Lumatone EDO mapping|n=21|start=10|xstep=4|ystep=1}}
 
Or this inverted version of the above, which is based on the [[4L 5s]] scale:
{{Lumatone EDO mapping|n=21|start=9|xstep=5|ystep=-4}}


{{Lumatone mapping navigation|21}}
== Augmented (August) ==
It is possible to use [[21edo]] for some types of blues music, taking advantage of its highly accurate [[7/1|7th harmonic]], as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/watch?v=1S4C-m_Dcno ''21edo improv''] (2026). The mapping for this uses a sharp septimal minor third ~[[7/6]] as a generator with the octave divided in to three parts as a sharp classic major third ~[[5/4]], making this an [[augmented_(temperament)|augmented temperament]] mapping of the flat fifth ([[august]]) variety, with scales [[3L 3s]] proceeding right and down-right and [[8L 1s (4/1-equivalent)]] proceeding right, with both scales having a 5:2 step ratio. (The ⅓-octave complement of ~[[7/6]] is a mildly-flat septimal diatonic semitone ~[[15/14]], which is one key down-right, a convenient mapping for a diatonic semitone.) The range is about 6¾ octaves, and the octaves slope down considerably (incurring vertical wraparounds mitigated by repeated notes), while the double octaves slope upwards mildly.
{{Lumatone EDO mapping|n=21|start=2|xstep=5|ystep=-3}}


[[Category:Lumatone mappings]] [[Category:21edo]]
{{Navbox Lumatone}}

Latest revision as of 19:28, 27 August 2026

There are many conceivable ways to map 21edo onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Whitewood

The Whitewood mapping is the one that functions in the closest way to the familiar diatonic scale. The actual near-diatonic scale is 5L 3s with a 3:2 step ratio (oneirotonic), and this mapping is demonstrated in Stephen Weigel's Iridescent Wenge Fugue (live performance version, 2026, with oneirotonic colors). Scales 7L 7s (2:1 step ratio) and 3L 6s (3:2 step ratio) are also supported. The range is 4⅓ octaves, and the octaves slope upwards with the rows, or gently downwards with the oneirotonic scale.

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Gorgo

Since the 7th harmonic is the lowest one that is accurately tuned, the gorgo mapping works well for creating consonant combinations of notes, and also has a wider range (nearly 7¼, with a slight upward slope). Bryan Deister demonstrates this mapping in 21edo groove (2026).

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Or this inverted version of the above, which is based on the 4L 5s scale:

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20
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1

Augmented (August)

It is possible to use 21edo for some types of blues music, taking advantage of its highly accurate 7th harmonic, as demonstrated by Bryan Deister in 21edo improv (2026). The mapping for this uses a sharp septimal minor third ~7/6 as a generator with the octave divided in to three parts as a sharp classic major third ~5/4, making this an augmented temperament mapping of the flat fifth (august) variety, with scales 3L 3s proceeding right and down-right and 8L 1s (4/1-equivalent) proceeding right, with both scales having a 5:2 step ratio. (The ⅓-octave complement of ~7/6 is a mildly-flat septimal diatonic semitone ~15/14, which is one key down-right, a convenient mapping for a diatonic semitone.) The range is about 6¾ octaves, and the octaves slope down considerably (incurring vertical wraparounds mitigated by repeated notes), while the double octaves slope upwards mildly.

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