User:Lucius Chiaraviglio/Keyboard Layout Lab/Unnamed temperament Lumatone mappings: Difference between revisions

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46edo (in determination stage): Got approval and found Bison temperament, so moved
Add Bryan Deister's Oneirotonic Lumatone mapping for 33edo
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Moved here from [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone mappings|Various Other Lumatone mappings]]:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:36, 11 October 2025 (UTC)
Moved here from [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone mappings|Various Other Lumatone mappings]]:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:36, 11 October 2025 (UTC)
=== 33edo (demonstrated to work but awaiting approval) ===
[[Bryan Deister]] has demonstrated a [[5L 3s]] (oneirotonic, 6:1 step ratio) mapping for [[33edo]]. (Rest of description goes here.)
{{Lumatone EDO mapping|n=33|start=4|xstep=6|ystep=-5}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:01, 27 October 2025 (UTC)


=== 46edo (demonstrated to work and found Bison temperament) ===
=== 46edo (demonstrated to work and found Bison temperament) ===

Revision as of 20:01, 27 October 2025

Various Kit-Bashed Lumatone mappings

These Lumatone mappings were not created for a particular temperament, but as experiments in modifying the Lumatone mapping of one EDO to work for a nearby size without regard to whether they have any temperaments in common. This is a placeholder section in case more of these are created.

Moved 28edo to new Machine Lumatone mappings section on Various Other Lumatone mappings; moved 30edo to Rank-3 Lumatone mappings page: Lucius Chiaraviglio (talk) 19:35, 23 July 2025 (UTC) Moved this section here: Lucius Chiaraviglio (talk) 08:36, 11 October 2025 (UTC)

Various Unnamed Temperament Lumatone mappings

Various Lumatone mappings that do not match the mapping for another size of EDO, and were not designed for a particular temperament.

Moved here from Various Other Lumatone mappings: Lucius Chiaraviglio (talk) 08:36, 11 October 2025 (UTC)

33edo (demonstrated to work but awaiting approval)

Bryan Deister has demonstrated a 5L 3s (oneirotonic, 6:1 step ratio) mapping for 33edo. (Rest of description goes here.)

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Added: Lucius Chiaraviglio (talk) 20:01, 27 October 2025 (UTC)

46edo (demonstrated to work and found Bison temperament)

Added: Lucius Chiaraviglio (talk) 09:11, 20 October 2025 (UTC)
Moved to Bison (Porwell + Sensi) Lumatone mappings: Lucius Chiaraviglio (talk) 07:15, 23 October 2025 (UTC)

51edo (demonstrated to work)

Bryan Deister has used a flipped antidiatonic layout for 51edo in which the generator is a mid major second at 8\51, which maps in between ~10/9 and ~9/8 and is distinct from both, A possible constitution of this interval in 51edo is the septendecimal major second ~512/459 (~|9 -3 0 0 0 0 -1⟩), which maps correctly to 8\51 and is very close by direct approximation. Two of these generators make a slightly flat ~5/4 Ptolmeic major third, and nine of these generators make a slightly sharp ~8/3 perfect eleventh. Octaves alternate between near and far, but the range is just one missing note #47 short of being 5 full octaves, which compares favorably with the standard Antidiatonic (Mavila/Undecimation) and Porky mappings, and is competitive with the Slendric mapping. (Another possibility would be to move the first note 0 up and left, which would instead put the missing note in the first octave.) The most straightforward scale within an octave is 2L 5s with a step ratio of 8:7, but the octave zigzag could be used to support an 11L 2s (4/1-equivalent) scale, again with a step ratio of 8:7. Graham Breed's x31eq Temperament Finder gives no name for this temperament; it is 19 & 51 in the 2.3.5.17 subgroup, but if this layout was actually adapted to 19edo, L and s steps would exchange size classes to make this a flipped Diatonic layout. This layout is demonstrated in 51edo improv (2025), with some additional notes outside the 5 (almost) full octaves cut off in and near the upper left and lower right corners due to the use of only 2 MIDI channels.

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Added: Lucius Chiaraviglio (talk) 07:21, 5 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:23, 6 May 2025 (UTC)

52edo (demonstrated to work)

Bryan Deister has used a layout for 52edo in which the generator is 9\52, as ~9/8 but mapped by direct approximation rather than as the version mapped by the patent val or by the 52b val, which means that it has to be constituted as (3♭ × 3♯) / 8 to make use of the dual-fifth feature of 52edo. Two of these map to a ~14/11 major third, as in Pentacircle but for the direct approximation mapping of ~9/8. The upward generator is ~16/15. Octaves slant down and then wrap around, but the compass is 5 full octaves, with no missed notes, which is competitive with the Diatonic and Neutral Thirds layouts. This layout is demonstrated in microtonal improvisation in 52edo (2025); in the video, some notes are cut off at the right edge due to the use of only 2 MIDI channels.

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Added: Lucius Chiaraviglio (talk) 09:22, 5 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:03, 6 May 2025 (UTC)

57edo (demonstrated to work)

Bryan Deister has used a layout for 57edo in which the right generator is 9\57 (10/9 ~ 9/8, as in Meantone, but this would be contorted without an additional generator); and the upward generator is 8\57, which maps to a just slightly flat ~11/10 (and not to ~12/11 or ~10/9 in the patent val, thus differing from Porcupine despite producing a rotated but otherwise similar 1L 6s scale). Octaves are nearly level, just barely sloping downwards; the compass is somewhat under 4 octaves. This layout is demonstrated in 57edo improv (2025); in the video, some notes are cut off in the lower and middle left edge and the upper right corner due to the use of only 2 MIDI channels; on the plus side, this shows where to put note 0 on the left side to avoid losing notes in the bottom octave due to running off the edge of the keyboard. Note that down and right proceeds by 1\57, thus making for an easy glissando (also demonstrated in the video).

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Added: Lucius Chiaraviglio (talk) 06:35, 12 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 19:07, 12 May 2025 (UTC)

Added: Lucius Chiaraviglio (talk) 17:43, 31 July 2025 (UTC)

62edo (demonstrated to work)

Accidental duplicate of official semi-Mohajira mapping, removed: Lucius Chiaraviglio (talk) 08:36, 11 October 2025 (UTC)

91edo pseudo-isomorphic (demonstrated to work)

Moved to Non-Isomorphic Lumatone mappings: Lucius Chiaraviglio (talk) 07:29, 20 September 2025 (UTC)

92edo (demonstrated to work)

Bryan Deister has demonstrated an 8L 5s (step ratio 9:4) mapping for 92edo in microtonal improvisation in 92edo (2025). As 9\92, the rightward generator maps to a slightly flat ~31/29, and five of these make the slightly sharp patent fifth ~3/2. The upward generator 5\92 yields ~14/13 by stacking two of these. The down-right generator 4\92 functions as ~33/32, ~34/33, and ~35/34; stacking two of these (8\92) yields ~17/16; stacking six of these (24\92) yields ~6/5; stacking eight of these (32\92) yields ~14/11. The first note 0 can be placed in the lower left corner (as actually used in the demonstration video) to avoid having a little piece of an octave before it, but this results in a vertical wraparound of the octaves, which slant down moderately (over the range of slightly over 2¼ octaves).

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Added: Lucius Chiaraviglio (talk) 01:51, 2 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 15:28, 4 June 2025 (UTC)

97edo (demonstrated to work)

Bryan Deister has used the 16L 1s/15L 7s layout for 97edo, as demonstrated in microtonal improvisation in 97edo (2025). Although 97edo is at the intersection of Immunity and Orson, this layout does not closely match either temperament, instead using a rightward generator 6\97 which is very close to 24/23, and an upward generator 5\97 which is very close to 29/28. The range is less than 2 octaves, and the octaves slant upwards if following the 16L 1s scale but are nearly level if following the 15L 7s scale; all notes are represented at least once (although getting this within a full 0 to 0 octave requires shifting the 0 point 1 key right from Bryan Deister's usual placement in the lower left corner, to avoid cutting off some notes on the left end).

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Added: Lucius Chiaraviglio (talk) 09:09, 16 April 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 20:51, 26 May 2025 (UTC)
Restored: Lucius Chiaraviglio (talk) 13:24, 28 May 2025 (UTC)