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

m 93edo (demonstrated to work): Fix wording about ratios represented by generator
Unnamed rank-3 temperament Lumatone mappings for 91edo and 93edo moved to Keyboard Layout Lab/Various rank-3 temperament Lumatone mappings
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Due to the dreaded "template include too large" error, moved the Valentine Lumatone mappings here from the main [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab|Keyboard Layout Lab]] page.
Due to the dreaded "template include too large" error, moved the Valentine Lumatone mappings here from the main [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab|Keyboard Layout Lab]] page.
== Moved Lumatone mappings ==
Unnamed rank-3 temperament Lumatone mappings for 91edo and 93edo moved to [[User:Lucius Chiaraviglio/Keyboard_Layout_Lab/Various_rank-3_temperament_Lumatone_mappings|Keyboard Layout Lab/Various rank-3 temperament Lumatone mappings]].
Moved:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:20, 21 June 2025 (UTC)


== Various Kit-Bashed Lumatone mappings ==
== Various Kit-Bashed Lumatone mappings ==
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{{Lumatone EDO mapping|n=92|start=0|xstep=9|ystep=-4}}
{{Lumatone EDO mapping|n=92|start=0|xstep=9|ystep=-4}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:02, 4 June 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:54, 8 June 2025 (UTC)
=== 91edo (demonstrated to work) ===
[[Bryan Deister]] has demonstrated an isomorphic [[9L&nbsp;2s]] mapping for [[91edo]] in [https://www.youtube.com/shorts/z6PeEocYMV8 ''improv 91edo''] (2025). The range is just one note beyond 3 full octaves, with octaves sloping up mildly (which results in a wraparound of note 0). The rightward generator 9\91 is the septimal diatonic semitone ~[[15\14]]. The upward generator 4\91 is a quartertone that functions as ~[[32/31]], ~[[33/32]], ~[[34/33]], and ~[[36/35]]; two of them make the minor diatonic semitone ~[[17/16]]; six of them make a near-just minor third ~[[6/5]]. The use of this generator makes this a mapping for [[Quartkeenlig]]; however, since stacking the upward generator quickly leads to wraparounds, and attempting to get the perfect fifth in 91edo with this generator yields 52\91, which is the [[7edo]] (91bb) fifth. Therefore, this mapping really needs to be treated as a rank-3 temperament mapping; for instance, to get the patent fifth 53\92 (a mildly flat ~[[3/2]], almost exactly [[1/7-comma meantone]]), it is easiest to stack five rightward generators and two upward generators.
{{Lumatone EDO mapping|n=91|start=0|xstep=9|ystep=-4}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:02, 4 June 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:02, 4 June 2025 (UTC)<br>
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 01:51, 2 June 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 01:51, 2 June 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:28, 4 June 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:28, 4 June 2025 (UTC)
=== 93edo (demonstrated to work) ===
(This mapping has been updated with the changes made to the official version by [[User:Yourmusic&nbsp;Productions|Yourmusic&nbsp;Productions]] and [[User:ArrowHead294|ArrowHead294]].)
[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 represents [[21/20]], [[23/22]], and [[25/24]], producing a [[15L&nbsp;1s]] scale as in [[Valentine]], although 93edo is contorted with this scale ({{nowrap|L {{=}} 6}} and {{nowrap|s {{=}} 3}}) and temperament; choosing the scale [[13L&nbsp;3s]] avoids contortion, although neither the bright version (64\93) nor the dark version (29\93) of its generator maps to a convenient ratio, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); {{nowrap|3 right {{=}} ~[[8/7]]}}; {{nowrap|5 right {{=}} ~[[5/4]]}}; and {{nowrap|8 right {{=}} ~[[10/7]]}}. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is −1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.
{{Lumatone EDO mapping|n=93|start=21|xstep=6|ystep=-7}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:43, 31 May 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:57, 14 June 2025 (UTC)


=== 97edo (demonstrated to work) ===
=== 97edo (demonstrated to work) ===