User:Lucius Chiaraviglio/Keyboard Layout Lab: Difference between revisions

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 This has proliferated, and thus has been moved to its own [[User:Lucius Chiaraviglio/Keyboard Layout Lab/Devichromic Lumatone mappings|Devichromic Lumatone mappings]] page.
-Moved:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:50, 31 May 2025 (UTC)
+Contents of this section moved to separate page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:50, 31 May 2025 (UTC)
 == Diaschismic Lumatone mappings ==
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 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:00, 24 May 2025 (UTC)
-== Miracle + Ripple (off-beat) Lumatone mappings ==
+== Diatonicized Chromaticism + Kleischismic + Cassandra (Garibaldi) Lumatone mappings ==
-=== 83edo (demonstrated to work) ===
+=== 94edo (demonstrated to work) ===
-[[Bryan Deister]] has used the [[10L&nbsp;1s]] layout for [[83edo]], as demonstrated in [https://www.youtube.com/shorts/vYhK-A74Kpg ''microtonal improvisation in 83edo''] (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of [[27/25]], as in [[ripple]] temperament, although it is necessary to constitute it as (3♭×3♯×3♭)/25 (using both the flat and sharp fifths in alternation) in order to map it correctly. Alternatively, since 83edo is at the intersection of ripple and [[miracle]] temperaments, the generator can be constituted as a flat [[secor]] ([[16/15]] ~ [[15/14]]), using the 83b val &mdash; not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.
+[[Bryan Deister]] has demonstrated the [[11L&nbsp;2s]] mapping of [[94edo]] in [https://www.youtube.com/shorts/Zx4xbJhXmgc ''microtonal improvisation in 94edo''] (2025). In the application of this temperament to this mapping, the rightward step corresponds to a stack of two quite accurate ~[[16/11]] generators (51\94, and the [[octave complement]] is ~[[11/8]], at 43\94) after octave-reduction, making this a mapping closely related to the Diatonicized Chromaticism used extensively by [[Ivan Wyschnegradsky]] in his [[24edo]] compositions. The rightward step can also be made by going down by the octave-complemented generator (39\94, ~11/8) and [[semioctave]]-reducing. This makes it a mapping for 11-limit (or higher) [[Schismatic_family#Kleischismic|Kleischismic]] (substituting the normal generator ~[[35/24]] with the simpler ~11/8, which 94edo represents more accurately), although this yields an extremely soft [[10L&nbsp;2s]] scale (step ratio 8:7, currently off the right edge of the scale tree) instead of 11L&nbsp;2s. Similarly, if one uses the highly accurate ~[[4/3]] (39\94, octave complement ~[[3/2]] as 55\94) and stacks two of these, the result is a rightward double step, making this mapping also work for [[Garibaldi]] and its 11-limit (or higher) extension [[Schismatic_family#Cassandra|Cassandra]] (although with some vertical wraparound challenges as noted following). A diatonic scale, or better yet a Ptolemy's intense diatonic (Zarlino) scale appears possible to do using both hands, although the octave slope causes the wraparound point to change with octave. The range is a bit under three octaves, and the octaves slope up, which puts the third note 0 at the far edge (although it does repeat at the near edge). A possibility for addressing this (not shown here) is to set note 0 is set to a point on the left edge half way between its current location and the lower left corner (to get note 0 two octaves higher to be 3/4 of the way up); this results in a skipped note 1 in the lowest note 0 to note 0 octave, but if one is willing to assign one key to a non-isomorphic position, the note 92 in the lower left corner (from the octave below the lowest note 0) could be reassigned to the missing note 1.
-{{Lumatone EDO mapping|n=83|start=59|xstep=8|ystep=-1}}
-Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:21, 21 March 2025 (UTC)<br>
+{{Lumatone EDO mapping|n=94|start=4|xstep=8|ystep=-5}}
-Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:43, 29 March 2025 (UTC)
-== Quasi-Miracle + Ripple Lumatone mappings ==
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:39, 28 May 2025 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:56, 30 May 2025 (UTC)
+Moved here from [[User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings|Various other Lumatone mappings]] page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:15, 31 May 2025 (UTC)
-=== 71edo (demonstrated to work) ===
+== Miracle and Miracle-related Lumatone mappings ==
-[[Bryan Deister]] has used the [[10L&nbsp;1s]] layout for [[71edo]], as demonstrated in [https://www.youtube.com/shorts/nMMSQdIV30I ''71edo improv''] (2025). At 7\71, the generator is [[16/15]] ~ [[15/14]] only if 71b (or 71c, but not 71bc) is used; otherwise, it is necessary to use the mediant ~[[31/29]]) for proper mapping, making the temperament a strange mutation of [[Miracle]] that intersects with [[Ripple]] at 71b, not far from where Ripple intersects with the real Miracle temperament at [[83edo]] (as 83b). Octaves are very close to being horizontal; that said, if one purposely slopes up from bottom to top to make use of vertically repeated notes while going left to right while transversing two octaves, it is possible to play a [[20L&nbsp;1s (4/1-equivalent)]] scale even as a rapid glissando, as demonstrated in the video (both ascending and descending).
+These have proliferated due to the Lumatone wizardry of [[Bryan Deister]], and have gotten their own [[User:Lucius Chiaraviglio/Keyboard Layout Lab/Marvel and Miracle Lumatone mappings|Marvel and Miracle Lumatone mappings]] page.
-{{Lumatone EDO mapping|n=71|start=59|xstep=7|ystep=-2}}
+Contents of this section moved to separate page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:15, 31 May 2025 (UTC)
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:28, 7 May 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:54, 8 May 2025 (UTC)
-=== 95edo (demonstrated to work) ===
-[[Bryan Deister]] has used the [[10L&nbsp;1s]] layout for [[95edo]], as demonstrated in [https://www.youtube.com/watch?v=io8qp3GA5vU ''microtonal improvisation in 95edo''] (2025).  At 9\95, the  generator is [[16/15]] ~ [[15/14]] only if 95b (or 95c, but not 95bc) is used; otherwise, it is necessary to use the mediant ~[[31/29]]) for proper mapping, making the temperament a strange mutation of [[Miracle]] that intersects with [[Ripple]] at 95b, not far from where Ripple intersects with the real Miracle temperament at [[83edo]] (as 83b). Octaves alternate between near and far, and the range is two octaves plus the better part of another octave.
-{{Lumatone EDO mapping|n=95|start=4|xstep=9|ystep=-5}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 22:51, 20 May 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:09, 22 May 2025 (UTC)
 == Nessafof (Porwell) mappings ==