User:Lucius Chiaraviglio/Keyboard Layout Lab/Marvel and Miracle Lumatone mappings: Difference between revisions

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→84edo (demonstrated to work but awaiting approval): Add septimal chroma as easily reachable with the down-right generator
→84edo (demonstrated to work but awaiting approval): Got approval; make some changes to compare to Orwell mapping that has the same rightward generator; fix range
 
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== Diploid Marvel extension Lumatone mappings ==
== Diploid Marvel extension Lumatone mappings ==


=== 84edo (demonstrated to work but awaiting approval) ===
=== 84edo (demonstrated to work) ===


[[Bryan Deister]] has demonstrated a [[10L 4s]] (8:1 step ratio) mapping for [[84edo]] in [https://www.youtube.com/shorts/Sqkxrmwggr0 ''microtonal improvisation in 84edo''] (2025). The rightward generator 8\84 functions as both ~[[15/14]] and ~[[16/15]], making this a [[Marvel]] temperament; two of these make a slightly flat septimal supermajor second (~[[8/7]]); four of these make a slightly flat Barbados third (~[[13/10]]). However, by itself would produce a [[contorted]] mapping even with the [[semioctave]] [[period]] implied by 10L 4s, so a second generator is required. The down-right generator 1\84 (the small step of the scale) maps as a near-just version of the starling chroma (~[[126/125]]), but also functions as a narrow version of the syntonic chroma (~[[81/80]]), a slightly narrow version of the animist chroma (~[[105/104]]), and as a wide version of the buzurgismic/dhanvantarismic chroma (~[[169/168]]) or the mycunumic chroma (~[[196/195]]); two of these make a near-just septimal chroma (~[[64/63]]); and adding three of these to the aforementioned Barbados third (reached with the rightward generator) yields the very accurate fourth (~[[4/3]]) shared with [[12edo]]. The range would be 3½ octaves with no missed notes if note for a missed note 36 in the highest semioctave; some notes are repeated for ease in vertical transitions; and the octaves are perfectly level.
[[Bryan Deister]] has demonstrated a [[10L 4s]] (8:1 step ratio) mapping for [[84edo]] in [https://www.youtube.com/shorts/Sqkxrmwggr0 ''microtonal improvisation in 84edo''] (2025). The rightward generator 8\84 (shared with the [[Orwell]] mapping) functions as both ~[[15/14]] and ~[[16/15]], making this a [[Marvel]] temperament; two of these make a slightly flat septimal supermajor second (~[[8/7]]); four of these make a slightly flat Barbados third (~[[13/10]]). However, by itself this generator would produce a [[contorted]] mapping even with the [[semioctave]] [[period]] implied by 10L 4s, so a second generator is required. The chroma of the scale (7\84, the upwards generator) is not very convenient as a secondary generator, and also produces a contorted mapping if used alone, so it makes sense to use the down-right generator 1\84 (the small step of the scale) as the secondary generator.  This functions as a near-just version of the starling chroma (~[[126/125]]), but also functions as a narrow version of the syntonic chroma (~[[81/80]]), a slightly narrow version of the animist chroma (~[[105/104]]), and as a wide version of the buzurgismic/dhanvantarismic chroma (~[[169/168]]) or the mycunumic chroma (~[[196/195]]); two of these make a near-just septimal chroma (~[[64/63]]); and adding three of these to the aforementioned Barbados third (reached with the rightward generator) yields the very accurate fourth (~[[4/3]]) at 35\84 (shared with [[12edo]] as 5\12). (Nevertheless, sheer distance may be a problem for people who do not have long fingers — a problem hard to avoid with large EDO sizes, that force octaves to be long to avoid missing notes.) Near-just versions of common intervals are reachable using both generators in combination: three rightward generators minus two down-right generators to get the classic major third ~[[6/5]] at 22\84, and three of each generator to get the classic major third ~[[5/4]] at 27\84. The range would be 2½ octaves with no missed notes if note for a missed note 36 in the highest semioctave; some notes are repeated for ease in vertical transitions; and the octaves are perfectly level.


{{Lumatone EDO mapping|n=84|start=12|xstep=8|ystep=-7}}
{{Lumatone EDO mapping|n=84|start=12|xstep=8|ystep=-7}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:39, 17 July 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:39, 17 July 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:09, 18 July 2025 (UTC)


== Harry + Marvolo (Marvel) + Miracle Lumatone mappings ==
== Harry + Marvolo (Marvel) + Miracle Lumatone mappings ==

Latest revision as of 09:09, 18 July 2025

Miracle and Marvel Lumatone mappings from Bryan Deister's Lumatone wizardry have gotten numerous enough to need their own Marvel and Miracle Lumatone mappings page.

Moved here from the main Keyboard Layout Lab page and the Various other Lumatone mappings page: Lucius Chiaraviglio (talk) 07:04, 31 May 2025 (UTC)

Diploid Marvel extension Lumatone mappings

84edo (demonstrated to work)

Bryan Deister has demonstrated a 10L 4s (8:1 step ratio) mapping for 84edo in microtonal improvisation in 84edo (2025). The rightward generator 8\84 (shared with the Orwell mapping) functions as both ~15/14 and ~16/15, making this a Marvel temperament; two of these make a slightly flat septimal supermajor second (~8/7); four of these make a slightly flat Barbados third (~13/10). However, by itself this generator would produce a contorted mapping even with the semioctave period implied by 10L 4s, so a second generator is required. The chroma of the scale (7\84, the upwards generator) is not very convenient as a secondary generator, and also produces a contorted mapping if used alone, so it makes sense to use the down-right generator 1\84 (the small step of the scale) as the secondary generator. This functions as a near-just version of the starling chroma (~126/125), but also functions as a narrow version of the syntonic chroma (~81/80), a slightly narrow version of the animist chroma (~105/104), and as a wide version of the buzurgismic/dhanvantarismic chroma (~169/168) or the mycunumic chroma (~196/195); two of these make a near-just septimal chroma (~64/63); and adding three of these to the aforementioned Barbados third (reached with the rightward generator) yields the very accurate fourth (~4/3) at 35\84 (shared with 12edo as 5\12). (Nevertheless, sheer distance may be a problem for people who do not have long fingers — a problem hard to avoid with large EDO sizes, that force octaves to be long to avoid missing notes.) Near-just versions of common intervals are reachable using both generators in combination: three rightward generators minus two down-right generators to get the classic major third ~6/5 at 22\84, and three of each generator to get the classic major third ~5/4 at 27\84. The range would be 2½ octaves with no missed notes if note for a missed note 36 in the highest semioctave; some notes are repeated for ease in vertical transitions; and the octaves are perfectly level.

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Added: Lucius Chiaraviglio (talk) 08:39, 17 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 09:09, 18 July 2025 (UTC)

Harry + Marvolo (Marvel) + Miracle Lumatone mappings

72edo (demonstrated to work)

Bryan Deister has demonstrated a mapping of 72edo as nine rings of 8edo going right, offset so as to also produce the scale 11L 9s (4/1-equivalent), in microtonal improvisation in 72edo (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~6/5 as 19\72 and ~5/4 as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~8/7, which corresponds to two generators (~15/14) of Miracle. (It is also the generator of Guiron, Mothra, and Slendric, but 72edo is contorted in those temperaments). Repeating this move twice more yields the highly accurate ~3/2 as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~12/7; from there, moving one key to the right yields the primary generator of Marvel temperament, ~15/8, as 65\72. The down-right generator 5\72 (20/19 ~ 21/20 ~ 22/21) matches Harry and Marvolo.

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Added: Lucius Chiaraviglio (talk) 13:24, 28 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 16:28, 30 May 2025 (UTC) Moved here: Lucius Chiaraviglio (talk) 07:04, 31 May 2025 (UTC)

Miracle (Miraculous) Lumatone mappings

41edo (demonstrated to work)

It is possible to map 41edo as a Miracle (Miraculous) tuning, with a 8L 3s scale (4:3 step ratio), using a secor (~15/14 tempered together with ~16/15) which is in turn tempered together with ~14/13 (as per the Miraculous 13-limit extension). In this mapping, the range is only three octaves, but the octaves are perfectly level, each note is repeated at least twice, with a few being repeated three times, thus enabling the use of two manuals if the layout is offset appropriately. Bryan Deister has used this layout in microtonal dance in 41edo (2023), although without a color scheme that would show the layout.

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Added: Lucius Chiaraviglio (talk) 07:02, 13 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:08, 14 July 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)

95edo (demonstrated to work)

Bryan Deister has used the 10L 1s layout for 95edo, as demonstrated in microtonal improvisation in 95edo (2025). At 9\95, the generator is 16/15 ~ 15/14 only if 95b (or 95c, but not 95bc) 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 95b, not far from where Ripple intersects with the real Miracle temperament at 83edo (as 83b). Octaves alternate between near and far, and the range is two octaves plus the better part of another octave.

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48
57
66
35
44
53
62
71
80
89
3
12
21
30
39
48
57
66
75
84
93
7
16
25
34
43
52
61
70
66
75
84
93
7
16
25
34
43
52
61
70
79
88
2
11
20
29
38
47
56
65
74
88
2
11
20
29
38
47
56
65
74
83
92
6
15
24
33
42
51
60
69
24
33
42
51
60
69
78
87
1
10
19
28
37
46
55
64
73
46
55
64
73
82
91
5
14
23
32
41
50
59
68
77
86
0
9
18
27
36
45
54
63
72
4
13
22
31
40
49
58
67
35
44
53
62
71
57
66

Added: Lucius Chiaraviglio (talk) 22:51, 20 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:09, 22 May 2025 (UTC)

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