User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→91edo (both mappings): Got approval with instructions where to put note 0; still need to add description |
→91edo (both mappings): Filled out description and identified temperament |
||
| Line 54: | Line 54: | ||
=== 91edo pseudo-isomorphic (demonstrated to work) === | === 91edo pseudo-isomorphic (demonstrated to work) === | ||
[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[91edo]] in [https://www.youtube.com/shorts/HaYUAg30298 ''microtonal improvisation in 91edo''] (2025). This layout is numbered as for [[92edo]], but note 91 is actually a duplicate of note 0. The range is just one note short of 3 full octaves, with octaves sloping down gently. | [[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[91edo]] in [https://www.youtube.com/shorts/HaYUAg30298 ''microtonal improvisation in 91edo''] (2025). This layout is numbered as for [[92edo]], but note 91 is actually a duplicate of note 0. The range is just one note short of 3 full octaves, with octaves sloping down gently, unlike the fully isomorphic version below, which avoids the interruption from the duplicated note 0 and has slightly greater range, but at the cost of greater (and opposite) octave slope and a vertical wraparound of note 0 with ascending octaves (as well as producing a discontinuity in scales). This mapping has the same generators as the fully isomorphic version, as described below. | ||
{{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) | 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) === | === 91edo (demonstrated to work) === | ||
[[Bryan Deister]] has demonstrated an isomorphic 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). ( | [[Bryan Deister]] has demonstrated an isomorphic [[9L 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}} | {{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) | 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) | |||
=== 92edo (demonstrated to work) === | === 92edo (demonstrated to work) === | ||