User:Lucius Chiaraviglio/Keyboard Layout Lab

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)

Cantonismic-Werckismic rank-3 temperament Lumatone mappings

74edo (demonstrated to work but awaiting approval)

Bryan Deister has demonstrated the 7L 6s mapping of 74edo in microtonal improvisation in 74edo (2025). The rightward generator (8\74) functions as ~14/13; three of them make a classic major third ~5/4 (the cantonisma 10985/10976 is tempered out); five of them make an essentially-just undecimal subfifth ~16/11; and eight of them make a highly accurate undecimal supraminor seventh ~20/11. The upward generator (5\74) functions as ~21/20 and ~22/21 (the Werckisma (441/440 is tempered out); two of these make ~11/10; five of these make ~24/19 (which is distinguished from ~5/4); and eight of these make ~16/11. The range is about just over 3 octaves with no missing notes, and the octaves slope downward moderately, resulting in a vertical wraparound.

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Added: Lucius Chiaraviglio (talk) 22:02, 12 June 2025 (UTC) Last Modified: Lucius Chiaraviglio (talk) 22:17, 12 June 2025 (UTC)

Compton-related rank 3 temperament Lumatone mappings

96edo (demonstrated to work)

Bryan Deister has demonstrated a mapping for 96edo in which the rightward generator is 8\96 (~18/17) as in 12edo, while the upward generator is 7\96 (~20/19), in microtonal improvisation in 96edo (2025). The range is just over two octaves, with octaves sloping away and then wrapping around; on the other hand, it is easy to play eight 12edo subsets of 96edo that are displaced slightly from each other, as if one had eight pianos (even if of rather short compass) somehow all in reach at once. (Here, note 0 is in the middle of the left edge instead of Bryan Deister's usual lower left corner, to avoid skipping some of the bottom notes in the lowest note 0 to note 0 octave.) Although not shown in the video, this mapping also enables easy glissandos diagonally up-left or down-right.

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Added: Lucius Chiaraviglio (talk) 07:40, 24 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:33, 26 May 2025 (UTC)

Devichromic Lumatone mappings

This has proliferated, and thus has been moved to its own Devichromic Lumatone mappings page.

Contents of this section moved to separate page: Lucius Chiaraviglio (talk) 06:50, 31 May 2025 (UTC)

Diaschismic Lumatone mappings

70edo (demonstrated to work)

The 6L 4s mapping is meant to get as many notes as possible onto the space available on existing Lumatones, rather than attempting to fit any particular temperament, although it is a type of mapping supported by Diaschismic. This mapping gets three full octaves and the better part of another octave, with no missed notes and a moderate slope. Bryan Deister has demonstrated this mapping in microtonal improvisation in 70edo (2025).

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Added: Lucius Chiaraviglio (talk) 10:55, 22 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:00, 24 May 2025 (UTC)

Diatonicized Chromaticism + Kleischismic + Cassandra (Garibaldi) Lumatone mappings

94edo (demonstrated to work)

Bryan Deister has demonstrated the 11L 2s mapping of 94edo in microtonal improvisation in 94edo (2025). In the application of this temperament to this mapping, the rightward step corresponds to a stack of two quite accurate ~16/11 generators (51\94, and the octave complement is ~11/8, at 43\94) after octave-reduction, making this a mapping closely related to the Diatonicized Chromaticism used extensively by Ivan Wyschnegradsky in his 24edo compositions. The rightward step can also be made by going down by the octave-complemented generator (39\94, ~11/8) and semioctave-reducing. This makes it a mapping for 11-limit (or higher) Kleischismic (substituting the normal generator ~35/24 with the simpler ~11/8, which 94edo represents more accurately), although this yields an extremely soft 10L 2s scale (step ratio 8:7, currently off the right edge of the scale tree) instead of 11L 2s. Similarly, if one uses the highly accurate ~4/3 (39\94, octave complement ~3/2 as 55\94) and stacks two of these, the result is a rightward double step, making this mapping also work for Garibaldi and its 11-limit (or higher) extension Cassandra (although with some vertical wraparound challenges as noted following). A diatonic scale, or better yet a Ptolemy's intense diatonic (Zarlino) scale appears possible to do using both hands, although the octave slope causes the wraparound point to change with octave. The range is a bit under three octaves, and the octaves slope up, which puts the third note 0 at the far edge (although it does repeat at the near edge). A possibility for addressing this (not shown here) is to set note 0 is set to a point on the left edge half way between its current location and the lower left corner (to get note 0 two octaves higher to be 3/4 of the way up); this results in a skipped note 1 in the lowest note 0 to note 0 octave, but if one is willing to assign one key to a non-isomorphic position, the note 92 in the lower left corner (from the octave below the lowest note 0) could be reassigned to the missing note 1.

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Added: Lucius Chiaraviglio (talk) 21:39, 28 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:56, 30 May 2025 (UTC) Moved here from Various other Lumatone mappings page: Lucius Chiaraviglio (talk) 07:15, 31 May 2025 (UTC)

Meantone-related rank-3 Lumatone mappings

74edo (proposed and untested)

An alternate 9L 4s mapping of 74edo is worthy of consideration. The rightward generator (6\74) functions as ~17/16 and ~18/17 (the semitonisma 289/288 is tempered out); two of them make a meantone whole tone (which functions as ~10/9, ~9/8, and ~19/17 — the syntonic comma 81/80, the ganassisma 153/152, and the malcolmisma 171/170 are all tempered out); three of them make the neogothic minor third ~13/11; four of them make the classic major third ~5/4; and six of them make the lesser septimal tritone ~7/5. The down-right generator (5\74) functions as ~21/20 and ~22/21 (the Werckisma (441/440 is tempered out); two of these make ~11/10; five of these make ~24/19 (which is distinguished from ~5/4); and eight of these make ~16/11. The stacking of two or four instances of ~3/2 (43\74) and octave-reducing also yields the same results as two or four instances (respectively) of the rightward generator, making this a meantone mapping as expected for the patent val of 74edo; yet the usefulness of the down-right generator for reaching higher-limit intervals is undeniable, making this a mapping for a Meantone-related rank-3 temperament in the 19-limit that is different from Didymus. The range is about 2⅔ octaves with no missing notes, less than Bryan Deister's Cantonismic-Werckismic detailed above, but the octaves slope downward only very gently, and include a few more duplicate notes which partially alleviate vertical wraparounds (in addition to the useful temperament properties detailed above).

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Added: Lucius Chiaraviglio (talk) 07:00, 12 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 22:17, 12 June 2025 (UTC)

Miracle and Miracle-related Lumatone mappings

These have proliferated due to the Lumatone wizardry of Bryan Deister, and have gotten their own Marvel and Miracle Lumatone mappings page.

Contents of this section moved to separate page: Lucius Chiaraviglio (talk) 07:15, 31 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)

Orwell mappings

53edo Doublethink (demonstrated to work)

(This was copied from Lumatone mapping for 53edo, for comparison with future Orwell mappings.)

The 8L 1s mapping has generator 6\53 (13/12 ~ 14/13), and two of them make a fairly accurate ~7/6; six of them make the very accurate ~8/5; and fourteen of them make the extremely accurate ~3/1, making this an alternative Orwell mapping with the generator ~7/6 split in half, or in other words Doublethink. Bryan Deister has demonstrated this mapping in microtonal improvisation in 53edo (2025). The range is a bit over three and a half octaves (sloping upwards), but in the demonstration video it appears less due to use of only 1 MIDI channel, which cuts off notes at both the left and right margins. If enough MIDI channels are used to accommodate all keys on the Lumatone, no notes are missing until the better part of the way through the top partial (more than half) octave.

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Added: Lucius Chiaraviglio (talk) 20:12, 24 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 19:52, 25 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)

Ratwolfsmic + Sensi Lumatone mappings

73edo (demonstrated to work)

Bryan Deister has demonstrated the 8L 3s mapping of 73edo in microtonal improvisation in 73edo (2025). The rightward generator is an acute minor second that functions as both ~14/13 and ~27/25 (the ratwoflsma (351/350) is tempered out), and two of them make a mildly flat ~7/6 septimal minor third (the buzzurgisma/dhanvantarisma (169/168) and the ragisma (4375/4374) are tempered out), and three of them make a moderately sharp ~5/4 major third (the cantonisma (10985/10976) and the sensipent comma (78732/78125) are tempered out). The range is slightly over three full octaves, which are nearly level and have no missing notes.

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Added: Lucius Chiaraviglio (talk) 16:18, 9 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:21, 11 June 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)

Various other Lumatone mappings

Due to the dreaded "template include too large" error, Other Kit-Bashed Lumatone mappings and Unnamed Temperaments have been moved to their own Various other Lumatone mappings page.

Contents of 2 sections moved to separate page: Lucius Chiaraviglio (talk) 07:01, 12 May 2025 (UTC)