User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→Bleu + Hemif/Hemififths + Suhajira Lumatone mappings: Insert Bohpier Lumatone mappings after this, starting with Bryan Deister's Lumatone mapping for 41edo |
→87edo (2 mappings demonstrated to work): Fix typos, and put more specific date on demo video for Flipped and Rotated version, because a demo video showed up for a different 87edo mapping, even though it is not on this page |
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=== 87edo (2 mappings demonstrated to work) === | === 87edo (2 mappings demonstrated to work) === | ||
It is possible to lay out [[87edo]] using the generator 14\87, which quasi-meantone ~[[19/17]], which is composed of highly inaccurate harmonics whose errors nearly cancel out, rendering it near-just; two of them make an essentially just classic major third ~[[5/4]]. (In contrast to actual [[meantone]] temperament, 87edo represents ~19/17, ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) | It is possible to lay out [[87edo]] using the generator 14\87, which is the quasi-meantone ~[[19/17]], which is composed of highly inaccurate harmonics whose errors nearly cancel out, rendering it near-just; two of them make an essentially just classic major third ~[[5/4]]. (In contrast to actual [[meantone]] temperament, 87edo represents ~19/17, ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) | ||
==== Flipped and Rotated ==== | ==== Flipped and Rotated ==== | ||
In the flipped and rotated verions with a [[3L 5s]] scale (14:9 step ratio)the above-mentioned 14\87 generator is one key down-right, while key right is 9\87, which functions as a flat tridecimal 2/3-tone ~[[14/13]] and a sharp septimal diatonic semitone ~[[15/14]]. This mapping makes it easy to play melodies that sound very diatonic despite the scale being non-diatonic, with octaves sloping moderately down, and a range of over three octaves (although with large partial octaves chopped off by the upper left and lower right corners), which is a bit too much for 87edo, resulting in some missed notes even in the middle octaves. Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/8mHBYBfRjy4 ''87edo improv''] (2026). | In the flipped and rotated verions with a [[3L 5s]] scale (14:9 step ratio) the above-mentioned 14\87 generator is one key down-right, while key right is 9\87, which functions as a flat tridecimal 2/3-tone ~[[14/13]] and a sharp septimal diatonic semitone ~[[15/14]]. This mapping makes it easy to play melodies that sound very diatonic despite the scale being non-diatonic, with octaves sloping moderately down, and a range of over three octaves (although with large partial octaves chopped off by the upper left and lower right corners), which is a bit too much for 87edo, resulting in some missed notes even in the middle octaves. Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/8mHBYBfRjy4 ''87edo improv''] (2026-07-11). | ||
{{Lumatone EDO mapping|n=87|start=0|xstep=9|ystep=5}} | {{Lumatone EDO mapping|n=87|start=0|xstep=9|ystep=5}} | ||
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Flipped and Rotated version added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:41, 13 July 2026 (UTC)<br> | Flipped and Rotated version added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:41, 13 July 2026 (UTC)<br> | ||
Split generator verision added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:39, 15 November 2025 (UTC)<br> | Split generator verision added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:39, 15 November 2025 (UTC)<br> | ||
Combined | Combined: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:34, 14 July 2026 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:14, 1 October 2026 (UTC) | |||
== Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings == | == Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings == | ||
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Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:04, 10 May 2026 (UTC)<br> | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:04, 10 May 2026 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:02, 28 May 2026 (UTC) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:02, 28 May 2026 (UTC) | ||
== Sensipent (<sup>1</sup>/<sub>5</sub>-Octave) + Malcolmismic Pseudo-Pinetone (<sup>1</sup>/<sub>5</sub>-Octave) Lumatone mappings == | |||
=== 65edo (demonstrated to work) === | |||
[[Bryan Deister]] has demonstrated a rotated [[sensipent]] mapping, in which the [[3L 5s]] (10:7 step ratio) scale proceeds up and somewhat right (usually incurring a vertical wraparound), and a [[5L 5s]] scale (10:3 step ratio) proceeds right and down-right with the <sup>1</sup>/<sub>5</sub> division of the octave (13\65), in [https://www.youtube.com/shorts/pSIT-4VaGD0 ''65edo improv''] (2026). In accordance with sensipent harmony, the <sup>1</sup>/<sub>5</sub> division of the octave (13\65, one key right plus one key down-right) functions as both a near-just (only slightly sharp) tricesimoprimal ultramajor second ~[[31/27]], as well as a near-just (only slightly flat) vicesimotertial inframinor third ~[[23/20]]. The normal 31-limit (or even 2.3.5.31 subgroup) sensipent generator 24\65 functions as both a near-just (practically perfect) tricesimoprimal ultramajor third ~[[31/24]] and a near-just (only slightly sharp) tricesimoprimal supermajor third ~[[40/31]]. This is most simply <sup>1</sup>/<sub>5</sub>-octave-reduced to the familiar near-just (only slightly flat) Pythagorean whole tone ~[[9/8]]. Alternatively (and easier to reach), the generator 10\65 (one key right, functioning as a slightly sharp classic whole tone ~[[10/9]]) can be used as a generator; although it is not co-prime with 65edo, it is co-prime with the <sup>1</sup>/<sub>5</sub>-octave; this is like a weak extension of [[pinetone]] (again with the <sup>1</sup>/<sub>5</sub> division of the octave), but tempering out the malcolmisma [[171/170]] instead of the porcupine comma [[250/243]]. This mapping is maximally efficient, with a range just under 4⅛ octaves with no missed notes and no repeated notes, although the octaves slope down severely and wrap around vertically. | |||
{{Lumatone EDO mapping|n=65|start=4|xstep=10|ystep=-7}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:06, 16 September 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:30, 17 September 2026 (UTC) | |||
== Sephiroth + Variant Orwell + Meansquared Lumatone mappings == | == Sephiroth + Variant Orwell + Meansquared Lumatone mappings == | ||