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)
-== Aureus Pseudo-Meantone + Orwell-related rank-3 temperament + Semisept Lumatone mappings ==
-=== 80edo (demonstrated to work but awaiting approval) ===
-The slightly sharp quasi-meantone ~[[19/17]] as 13\80 (one key down-right) stacks to a mildly sharp classic major third ~[[5/4]] (the aureusma [[1445/1444]] is tempered out), although by itself this generator does not make very well-space [[MOS]] scales. At the same time, as seen in [[Orwell]] temperament, a mildly sharp septimal minor third ~[[7/6]] is an attractive generator for producing well-spaced [[MOS]] scales, but being 18\80 (one key right + one key down-right), it is not co-prime, thereby suffering [[contorsion]]. One way to get around the contorsion problem to use both generators to make a rank-3 temperament. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/lWuqrdSr8pU ''80edo improv''] (2026), with the Lumatone rotated so as to make progression by 13\80 approximately horizontal. Another way to get MOS scales with reasonable spacing is to take the [[octave complement]] of ~[[7/6]] as ~[[12/7]], which is 62\80, and then split it in half to get 31\80 (one key right + two keys down-right), which is the septendecimal subfourth ~[[17/13]], which is the bright generator for an oneirotonic [[5L&nbsp;3s]] scale having a 13:5 step ratio; the downside of this rank-2 temperament is that many generator steps are needed to reach some common consonant intervals. Either way, the range is somewhat under 2½ complete octaves (which slope downwards rather severely, and have only a few repeated notes), with considerable partial octaves in the base and treble chopped off by the upper left and lower right corners, respectively.
-{{Lumatone EDO mapping|n=80|start=6|xstep=5|ystep=8}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:37, 4 July 2026 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:53, 4 July 2026 (UTC)
 == Amity Lumatone mappings ==
@@ Line 87: / Line 76: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 00:07, 4 May 2026 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:29, 6 May 2026 (UTC)
+== Aureus Pseudo-Meantone + Orwell-related rank-3 temperament + Semisept Lumatone mappings ==
+=== 80edo (demonstrated to work) ===
+The slightly sharp quasi-meantone ~[[19/17]] as 13\80 (one key down-right) stacks to a mildly sharp classic major third ~[[5/4]] (the aureusma [[1445/1444]] is tempered out), although by itself this generator does not make very well-space [[MOS]] scales. At the same time, as seen in [[Orwell]] temperament, a mildly sharp septimal minor third ~[[7/6]] is an attractive generator for producing well-spaced [[MOS]] scales, but being 18\80 (one key right + one key down-right), it is not co-prime, thereby suffering [[contorsion]]. One way to get around the contorsion problem to use both generators to make a rank-3 temperament. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/lWuqrdSr8pU ''80edo improv''] (2026), with the Lumatone rotated so as to make progression by 13\80 approximately horizontal. Another way to get MOS scales with reasonable spacing is to take the [[octave complement]] of ~[[7/6]] as ~[[12/7]], which is 62\80, and then split it in half to get 31\80 (one key right + two keys down-right), which is the septendecimal subfourth ~[[17/13]], which is the bright generator for an oneirotonic [[5L&nbsp;3s]] scale having a 13:5 step ratio; the downside of this rank-2 temperament is that many generator steps are needed to reach some common consonant intervals. Either way, the range is somewhat under 2½ complete octaves (which slope downwards rather severely, and have only a few repeated notes), with considerable partial octaves in the base and treble chopped off by the upper left and lower right corners, respectively.
+{{Lumatone EDO mapping|n=80|start=6|xstep=5|ystep=8}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:37, 4 July 2026 (UTC)<br>[[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:43, 6 July 2026 (UTC)[[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:53, 4 July 2026 (UTC)
 == Baldy Lumatone mappings ==