User:Lucius Chiaraviglio/Keyboard Layout Lab/Unnamed temperament Lumatone mappings: Difference between revisions
Add Various Described but Unnamed Temperament Lumatone mappings, starting with one of Bryan Deister's Lumatone mappings for 51edo (19 & 51 in the 2.3.5.17 subgroup — move in here and make a couple of corrections) |
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Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator. | Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator. | ||
=== 23edo: Didacus/Isra-related Machinoid (demonstrated to work) === | |||
[[Bryan Deister]] has demonstrated a [[5L 1s]] (4:3 step ratio) mapping for [[23edo]] in [https://www.youtube.com/shorts/rfkVLuoC2gM ''23edo''] (2023), although with MIDI note numbering offset relative to what is shown here. The rightward generator 4\23 corresponds to a somewhat sharp directly-approximated Pythagorean whole tone ~[[9/8]], as in [[didacus]] and [[isra]]; however, unlike these temperaments, it brings up a different set of intervals, all in the 2.9.15.21.33.13.17 subgroup (same as as used for the table of intervals on the 23edo page, and required to get ~9/8 and most of the following intervals to map correctly). Two of these generators make a near-just undecimal (pentacircle) major third ~[[14/11]]; three of them make a mildly sharp greater septimal tritone ~[[10/7]]; four of them make a somewhat flat lesser tridecimal neutral sixth ~[[13/8]]; and five of them make a mildly flat undecimal neutral seventh ~[[11/6]]. The range is a bit over five octaves, and the octaves slope upwards. | |||
{{Lumatone EDO mapping|n=23|start=15|xstep=4|ystep=-1}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:30, 24 June 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 18:35, 26 June 2026 (UTC) | |||
=== 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) === | === 51edo: 19 & 51 flipped antidiatonic (demonstrated to work) === | ||
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{{Lumatone EDO mapping|n=51|start=32|xstep=8|ystep=-1}} | {{Lumatone EDO mapping|n=51|start=32|xstep=8|ystep=-1}} | ||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:21, 5 May 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:35, 28 May 2026 (UTC) | |||
=== 101edo: Stacked Tricesimoprimal Inframinor Thirds or Tricesimoprimal Ultramajor Seconds (demonstrated to work) === | |||
[[Bryan Deister]] has demonstrated a [[9L 5s]] (9:4 step ratio) mapping for [[101edo]], in [https://www.youtube.com/shorts/FG1XaSP3yhc ''101edo improv''] (2026-10-18). The generator is the somewhat sharp tricesimoprimal inframinor third or tricesimoprimal ultramajor second (both being ~[[36/31]]); this can also function as a very flat septimal minor third ~[[7/6]] if the 101d val is used (for consistency, preferably 101cd). The range is somewhat over 2½ octaves with a few repeated notes, and the octaves slope down gently. | |||
{{Lumatone EDO mapping|n=101|start=2|xstep=9|ystep=-5}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:18, 26 October 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:04, 27 October 2026 (UTC) | |||
== Various Unnamed Temperament Lumatone mappings == | == Various Unnamed Temperament Lumatone mappings == | ||
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Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:27, 3 January 2026 (UTC) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:27, 3 January 2026 (UTC) | ||
=== 52edo (demonstrated to work) === | === 52edo (demonstrated to work, and found Diminished temperament) === | ||
Found Diminished temperament, and moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings|Various other Lumatone mappings]]: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:05, 28 March 2026 (UTC) | Found Diminished temperament, and moved to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings|Various other Lumatone mappings]]: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:05, 28 March 2026 (UTC) | ||
=== 54edo as 108ed4 (demonstrated to work) === | |||
One of the odder ways to map [[54edo]] is to treat it as 108ed4 with a [[2L 8s (4/1-equivalent)]] scale (11:10 step ratio), as demonstrated in [[Bryan Deister's]] [https://www.youtube.com/watch?v=OsfvW25R0Cw ''54edo improv''] (2026). With this mapping, many notes are missing from each octave, but every note is available in some octave. In the linked video, Bryan Deister set all MIDI channels to map to the same octave, so all notes are available within that octave. | |||
{{Lumatone EDO mapping|n=54|start=0|xstep=16|ystep=1}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:57, 17 September 2026 (UTC) | |||
=== 57edo (demonstrated to work) === | === 57edo (demonstrated to work) === | ||