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)


== Various Unnamed Temperament Lumatone mappings ==
== Various Unnamed Temperament Lumatone mappings ==