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

[[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.