User:Lucius Chiaraviglio/Keyboard Layout Lab

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Although I am not an instrument player (although I do admit to having been a bad player of the violin for over 15 years during my early life), I have been intrigued by instrument design from the point of view of usability. So here are various experimental keyboard layouts (currently all Lumatone, but that is due to availability rather than philosophy) that I have collected after seeing them demonstrated by others (with links to demonstration videos whenever possible), plus some that I have created (often inspired by the ones I have collected) in case someone wants to give them a test drive.

Moved here from Musical Mad Science: Lucius Chiaraviglio (talk) 06:54, 28 March 2025 (UTC)

Augmented + Immunity Lumatone mappings

39edo (demonstrated to work)

Bryan Deister has used a Porcupine-inspired layout for 39edo, as demonstrated in 39edo jam (2025). To take advantage of the fact that 39edo is at the intersection of Augmented and Immunity, the rightward generator is 5\39, half of a 6/5 minor third as 12/11 ~ 11/10 (but much closer to 12/11). This enables a MODMOS derived from 1L 6s by shrinking the large step from 9\39 to 8\39 and expanding one of the small steps from 5\39 to 6\39, to enable chords such as 12/11 (somewhat sharp, at 5\39) - 6/5 (slightly flat, at 10\39) - 11/8 (near-just, at 18\39) - 3/2 (mildly sharp, 23\39) - 18/11 (moderately sharp, at 28\39) - 9/5 (near-just, at 33\39). Playing this chord uses almost the same geometry of depressed keys as that for playing a diatonic scale in a diatonic mapping (but has a very different sound effect), save when proceeding to the next octave. The range is slightly over 6 octaves overall (which slant moderately downwards), but with the first and last octaves missing some notes due to clipping in the upper left and lower right corners of the layout.

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Added: Lucius Chiaraviglio (talk) 06:50, 1 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:30, 2 May 2025 (UTC)

Miracle + Ripple (off-beat) Lumatone mappings

83edo (demonstrated to work)

Bryan Deister has used the 10L 1s layout for 83edo, as demonstrated in microtonal improvisation in 83edo (2025). The octaves slant downwards (with a wraparound in the first full octave) while moving to higher pitches, and the contiguous range (with all notes represented at least once, not counting non-contiguous notes in the upper left and lower right corners) is slightly over three octaves (although due to the Lumatone only being set up for a single MIDI channel in this video, the video only demonstrates approximately one and a half octaves). The generator is the semi-flat version of 27/25, as in ripple temperament, although it is necessary to constitute it as (3♭×3♯×3♭)/25 (using both the flat and sharp fifths in alternation) in order to map it correctly. Alternatively, since 83edo is at the intersection of ripple and miracle temperaments, the generator can be constituted as a flat secor (16/15 ~ 15/14), using the 83b val — not in the optimal tuning spectrum of miracle, but only needing to use the flat fifth.

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Added: Lucius Chiaraviglio (talk) 07:21, 21 March 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:43, 29 March 2025 (UTC)

Quasi-Miracle + Ripple Lumatone mappings

71edo (demonstrated to work)

Bryan Deister has used the 10L 1s layout for 71edo, as demonstrated in 71edo improv (2025). At 7\71, the generator is 16/15 ~ 15/14 only if 71b (or 71c, but not 71bc) is used; otherwise, it is necessary to use the mediant ~31/29) for proper mapping, making the temperament a strange mutation of Miracle that intersects with Ripple at 71b, not far from where Ripple intersects with the real Miracle temperament at 83edo (as 83b). Octaves are very close to being horizontal; that said, if one purposely slopes up from bottom to top to make use of vertically repeated notes while going left to right while transversing two octaves, it is possible to play a 20L 1s (4/1-equivalent) scale even as a rapid glissando, as demonstrated in the video (both ascending and descending).

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Added: Lucius Chiaraviglio (talk) 08:28, 7 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 19:54, 8 May 2025 (UTC)

Nessafof (Porwell) mappings

54edo (domonstrated to work)

Bryan Deister has used the Nessafof (Porwell) layout for 54edo, as demonstrated in microtonal improvisation in 54edo (2025). At 7\54, the generator is a near-just septimal neutral second (~35/32), of which 2 make a slightly flat minor third ~6/5 (constituted in 54b), and 11 make a sharp ~8/3 (which corresponds to the 54b flat fifth). The 7L 1s scale (with a step ratio of 7:5) is expanded similar to the expanded Lumatone mapping for porcupine if represented as 7L 1s, but even more expanded. On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with 12edo, although this requires constituting the ~9/8 whole steps as (3♭ × 3♯) / 8. The range is four full octaves.

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Added: Lucius Chiaraviglio (talk) 08:25, 8 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 05:35, 12 May 2025 (UTC)

Passion Lumatone mappings

61edo (proposed and untested)

The generator is a nominal but very flat ~16/15 (5\61, actually closer to 18/17, but only if constituted as (3♯×3♭)/17); this supports a very hard 10L 1s scale, although the color scheme used in the video does not reflect this. The range is a bit under 4 octaves (and the octaves slant up) with provision of repeated notes, or actually a bit over 4 octaves if one is willing to accept some awkward positions in the left and right extremes of the layout.

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Added: Lucius Chiaraviglio (talk) 22:28, 28 March 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 20:42, 3 April 2025 (UTC)

Porcupine Lumatone mappings

50edo (demonstrated to work)

Bryan Deister has used a reverse-chroma expanded Porcupine layout for 50edo, as demonstrated in microtonal improv in 50edo (2025). The range is somewhat over 4 octaves, but the octaves ascend so rapidly as to zigzag. (Note that in the video, the upper left corner and whole right end are cut off due to use of only 1 MIDI channel, and the range shown is considerably less than theoretically possible.)

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Added: Lucius Chiaraviglio (talk) 07:30, 12 April 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 23:02, 13 April 2025 (UTC)

Valentine Lumatone mappings

Due to the dreaded "template include too large" error, these have been moved to their own Valentine Lumatone mappings page.

Contents of this section moved to separate page: Lucius Chiaraviglio (talk) 07:39, 12 April 2025 (UTC)

Other Kit-Bashed Lumatone mappings

28edo (demonstrated to work)

Bryan Deister has used a layout for 28edo that was inspired by the layout for 29edo (rather than being made for any specific temperament), as demonstrated in minuet in 28edo (2025). The right-moving generator is a somewhat sharp Pythagorean whole tone (~9/8, or near-just 17/15, 5\28). The up-moving generator is an almost-just tridecimal supraminor second (~14/13, 3\28). The range is a bit over five octaves, with octaves alternating near/far and middle with an overall small upwards slant. Although this layout was not designed for any particular temperament, it so happens that the right-moving generator matches Machine.

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Added: Lucius Chiaraviglio (talk) 19:35, 26 March 2025 (UTC)
Last Modified: Lucius Chiaraviglio (talk) 21:39, 29 March 2025 (UTC)

30edo (demonstrated to work)

Bryan Deister has used a layout for 30edo that was also inspired by the layout for 29edo (rather than being made for any specific temperament), as demonstrated in minuet in 30edo (2025). The right-moving generator is a somewhat flat Pythagorean whole tone (~9/8, 5\30; and in the video, the row segments that include note 0 are colored solid red). The up-moving generator is a somewhat flat tridecimal supraminor second (~14/13, 3\30); neither would be able access the full gamut on its own, but together they cover the full gamut with a generous allotment of repeated notes (indicating that if this layout was to represent a particular temperament, that would have to be a rank-3 temperament if having an octave period, or a rank-2 temperament dividing the octave into multiple periods). The range is a bit under five octaves, with octaves slanting up (while wrapping around) at the same angle as the right-moving generator.

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Added: Lucius Chiaraviglio (talk) 07:59, 25 March 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:39, 29 March 2025 (UTC)

Unnamed Temperaments

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 but awaiting approval)

Bryan Deister has used a layout for 52edo 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) 06:43, 12 May 2025 (UTC)

97edo (demonstrated to work)

Bryan Deister has used the 16L 1s 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, but 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). Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 09:09, 16 April 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 05:52, 18 April 2025 (UTC)

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