User:Lucius Chiaraviglio/Keyboard Layout Lab/Non-Isomorphic Lumatone mappings: Difference between revisions

 
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=== 18edo (demonstrated to work) ===
=== 18edo (demonstrated to work) ===


A pseudo-isomorphic pseudo-diatonic mapping for [[18edo]] that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level &mdash; it is the [[19edo]] diatonic layout, but with only 18 unique notes per octave. Alternatively, it can be interpreted as the 4L&nbsp;3s Janko layout, but with a duplicate of note 0 added, which allows it to support both the 4L&nbsp;3s scale (3:2 step ratio) and a 5L&nbsp;1s<sub>1</sub>&nbsp;1s<sub>2</sub> MODMOS scale (3:2:1 step ratio).  This is demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/hNmse4IUWL0 ''18edo improv''] (2025).
A pseudo-isomorphic pseudo-diatonic mapping for [[18edo]] that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level &mdash; it is the [[19edo]] diatonic layout, but with only 18 unique notes per octave. Alternatively, it can be interpreted as the 4L&nbsp;3s Jankó layout, but with a duplicate of note 0 added, which allows it to support both the 4L&nbsp;3s scale (3:2 step ratio) and a 5L&nbsp;1s<sub>1</sub>&nbsp;1s<sub>2</sub> MODMOS scale (3:2:1 step ratio).  This is demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/shorts/hNmse4IUWL0 ''18edo improv''] (2025).


{{Lumatone EDO mapping|n=19|start=-2|xstep=3|ystep=-1}}
{{Lumatone EDO mapping|n=19|start=-2|xstep=3|ystep=-1}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:44, 25 September 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:44, 25 September 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:57, 27 September 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:44, 20 September 2026 (UTC)


=== 32edo (demonstrated to work) ===
=== 32edo (demonstrated to work) ===
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:21, 20 September 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:21, 20 September 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:54, 21 September 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:54, 21 September 2025 (UTC)
=== 63edo (demonstrated to work) ===
[[Bryan Deister]] has used a pseudo-isomorphic pseudo-diatonic mapping laid out as for [[64edo]], but with note 63 actually being a duplicate of note 0 (but it is off the edge, so not visible unless this mapping would be used on a hypothetical XL-sized Lumatone). This is demonstrated in [https://www.youtube.com/shorts/EEAJ0AaWoJM ''63edo improv''] (2025-10-19), with a monochrome color scheme for additional challenge.
{{Lumatone EDO mapping|n=64|start=56|xstep=10|ystep=-3}}
Copied from [[Lumatone mapping for 63edo]] after it was made live there:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:05, 6 August 2026 (UTC)


=== 70edo (demonstrated to work) ===
=== 70edo (demonstrated to work) ===
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=== 91edo (demonstrated to work) ===
=== 91edo (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, 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.
[[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, 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)<br>
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)<br>
Moved here from User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:32, 20 September 2025 (UTC)<br>
Moved here from User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:32, 20 September 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:47, 6 November 2025 (UTC)
 
=== 101edo (demonstrated to work) ===
 
[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for [[101edo]] in [https://www.youtube.com/shorts/qS4fpB_uIyo ''101edo improv''] (2025). This layout is numbered as for [[102edo]], but note 101 (which does not appear here due to missing notes) is actually a duplicate of note 0. Note that the colors in this video are scrambled; however, the sound is recognizably diatonic even though this is not a true diatonic layout for 101edo.
 
{{Lumatone EDO mapping|n=102|start=90|xstep=16|ystep=-5}}
 
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:47, 6 November 2025 (UTC)
 
== MOS and MODMOS Subset Lumatone Mappings ==
 
These work like the pseudo-isomorphic mappings above, but with the additional consideration of deliberately using non-coprime generators on all axes to take a MOS or MODMOS subset of their tuning systems.
 
=== 31edo (2 mappings demonstrated to work) ===
 
==== Right-up 15L&nbsp;1s MOS subset pseudo-antidiatonic ====
 
For playing strictly in the Valentine 15L&nbsp;1s scale (with no accidentals), it is possible to map just the Valentine scale by multiplying the antidiatonic mapping for [[16edo]] by 2 and treating note 31 as a duplicate note 0 (which never actually appears). [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/watch?v=Aiihs4vqyfI ''16 tone improv (31edo)''] (2025). This gives back the range of just under five completely level octaves, and would even allow for division into multiple manuals.
 
{{Lumatone EDO mapping|n=32|start=16|xstep=4|ystep=2}}
 
Added to official Lumatone mapping for 31edo page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:15, 30 October 2025 (UTC)<<br>
Copied here:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:35, 1 November 2025 (UTC)
 
==== Down-right 15L&nbsp;1s MOS subset pseudo-slendric ====
 
Continuing with the concept of only accessing every other note of [[31edo]] (again with a hidden note 31 that duplicates note 0), rotating the [[Valentine]] [[15L&nbsp;1s]] scale to run down-right (instead of right-up) makes for easy playing of diatonic-sounding phrases (although with a rightward generator of 6\31, this is actually more like [[Slendric]]), while in a fairly compact layout having a range of over five octaves which slope mildly upwards. [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/HicjaGSZ83U ''31edo prelude''] (2025).


== MOS Subset Lumatone Mappings ==
{{Lumatone EDO mapping|n=32|start=2|xstep=6|ystep=-4}}


These work like the pseudo-isomorphic mappings above, but with the additional consideration of deliberately using non-coprime generators on all axes to take a MOS subset of their tuning systems.
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:35, 1 November 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:09, 2 November 2025 (UTC)


=== 75edo (demonstrated to work) ===
=== 75edo (demonstrated to work) ===
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:46, 27 September 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:46, 27 September 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:55, 30 September 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:55, 30 September 2025 (UTC)
=== 94edo (demonstrated to work) ===
[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for [[94edo]] in [https://www.youtube.com/shorts/KJ5dbF4aH2A ''Twinleaf Town - Pokémon Diamond and Pearl (microtonal cover in 94edo)''] (2026) that takes a 19 note subset supporting an almost-diatonic scale with a 15:10 step ratio overall, but with one of the steps (which one depends upon choice of root note) always being shortened by 1\94. This layout is numbered as for [[95edo]] and laid out as for [[19edo]], with the potential for two complete manuals and one incomplete manual, with note 94 (which is one of the missing notes) actually being a duplicate of note 0.
{{Lumatone EDO mapping|n=95|start=85|xstep=15|ystep=-5}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:13, 1 March 2026 (UTC)
=== 99edo 49L&nbsp;1s MOS subset pseudo-diatonic (demonstrated to work) ===
[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for a [[49L&nbsp;1]] MOS subset of [[99edo]] in [https://www.youtube.com/shorts/GNio1PMp9BA ''99edo improv''] (2026). Since the step size is quite small, and yet the step ratio is 2:1, this enables playing a highly diatonic sound even though the layout is not truly diatonic, instead approximating a warped version of [[50edo]]. As with the standard diatonic mapping that it approximates, the the range is just short of five octaves, with no notes missing from the 49L&nbsp;1s MOS scale.
{{Lumatone EDO mapping|n=100|start=92|xstep=16|ystep=-6}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:01, 23 September 2026 (UTC)