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

Undo revision 217415 by Lucius Chiaraviglio (talk) Had the right idea for 9L 5s (4/1-equivalent), but wrong implementation — actually uses unnamed temperament isomorphic mapping
Tag: Undo
 
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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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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:47, 6 November 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:47, 6 November 2025 (UTC)


== MOS Subset Lumatone Mappings ==
== 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 subset of their tuning systems.
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 (demonstrated to work) ===
=== 31edo (2 mappings demonstrated to work) ===


==== Right-up 15L&nbsp;1s MOS subset pseudo-antidiatonic ====
==== Right-up 15L&nbsp;1s MOS subset pseudo-antidiatonic ====
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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)