User:Lucius Chiaraviglio/Keyboard Layout Lab: Difference between revisions

Godzilla Lumatone mappings: --> Godzilla-related rank3 Lumatone mappings, because Godzilla by itself is contorted in 62edo; got approval for the mapping itself; added temperament text
Cantonismic-Werckismic rank-3 temperament Lumatone mappings: Transform to Cantonismic, starting with Bryan Deister's Lumatone mapping for 64edo
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Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 2 May 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 2 May 2025 (UTC)


== Cantonismic-Werckismic rank-3 temperament Lumatone mappings ==
== Cantonismic Lumatone mappings ==


Due to this page getting too large, moved these to [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various rank-3 temperament Lumatone mappings|Various rank-3 temperament Lumatone mappings]].
=== 64edo (demonstrated to work but awaiting approval) ===


Contents of this section moved to separate page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:57, 21 June 2025 (UTC)
[[Bryan Deister]] has demonstrated a [[Cantonismic]] mapping of [[64edo]], in which the rightward generator 7\64 is mapped as a slightly sharp tridecimal supraminor second ~[[14/13]], and the [[cantonisma]] (10985/10976) is tempered out, so that three of them make a fairly sharp classic major third ~[[5/4]], and eight of them make a near-just undecimal neutral seventh ~[[11/6]]; note that apart from ~5/4, these ratios depending upon partial cancellation of errors in the harmonics as represented by 64edo. The rightward generator is actually the short step of the easiest scale to play on this layout (provided that the scale is positioned not to go through a vertical wraparound), with the down-right step being 10\64, which corresponds to the [[Patent val|patent]] (not [[direct approximation]]) whole tone ~[[9/8]], thus enabling a rotated diatonic (but not [[Meantone]]) scale. Octaves alternate between near and far superimposed on an overall slant away over the range of three whole octaves plus some fragmented note sequences in the upper left and lower right corners. A side effect of the alternation of octaves is that accessing the fourth and fifth can be easy or hard depending upon not only the root note, but also the octave — for instance, in the middle octave, 27\64 and 37\64 are both easily reached from 0\64, but in the full octaves below and above, they same interval requires a long finger stretch.
 
{{Lumatone EDO mapping|n=64|start=12|xstep=7|ystep=3}}
 
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:51, 26 July 2025 (UTC)


== Compton-related rank 3 temperament Lumatone mappings ==
== Compton-related rank 3 temperament Lumatone mappings ==