User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions

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 Moved:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:20, 21 June 2025 (UTC)
-== Sensipent (<sup>1</sup>/<sub>5</sub>-Octave) + Malcolmismic Pseudo-Pinetone (<sup>1</sup>/<sub>5</sub>-Octave) Lumatone mappings ==
-[[Bryan Deister]] has demonstrated a rotated [[sensipent]] mapping, in which the [[3L&nbsp;5s]] (10:7 step ratio) scale proceeds up and somewhat right (usually incurring a vertical wraparound), and a [[5L&nbsp;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) 10\65 (which functionas 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)
 == Amity Lumatone mappings ==
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 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)
+== 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&nbsp;5s]] (10:7 step ratio) scale proceeds up and somewhat right (usually incurring a vertical wraparound), and a [[5L&nbsp;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 ==