User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions

[[Bryan Deister]] has demonstrated a mapping for [[93edo]] in [https://www.youtube.com/shorts/eknKeDeRlQs ''microtonal improvisation in 93edo''] (2025). The rightward generator 6\93 represents [[21/20]], [[23/22]], and [[25/24]], producing a [[15L 1s]] scale as in [[Valentine]], although 93edo is contorted with this scale ({{nowrap|L {{=}} 6}} and {{nowrap|s {{=}} 3}}) and temperament; choosing the scale [[13L 3s]] avoids contortion, although its generator (64\93 bright or 29\93 dark) do not map to convenient ratios, so the following discussion instead uses the generators for the mapping itself. Going right 2 keys makes a ~[[35/32]] neutral second (abundantly used in the later part of the video); {{nowrap|3 right {{=}} ~[[8/7]]}}; {{nowrap|5 right {{=}} ~[[5/4]]}}; and {{nowrap|8 right {{=}} ~[[10/7]]}}. To avoid contortion, it is necessary to use a second generator, making this a rank-3 temperament mapping; the upward generator 7\93 is ~[[20/19]]; 4 steps up makes ~[[16/13]]; 5 steps up makes ~[[13/10]], and 9 steps up (which always involves a vertical wraparound) makes ~[[8/5]]. Down-right is −1\93, enabling easy glissandos (demonstrated in the beginning of the video). In order to avoid having notes of the first note 0 to note 0 octave chopped off at the left edge, the first note 5 is placed half way down the left edge, and note 0 is 5 down-right from that. The range is just over an octave and a half, and the octaves slope from near to far.

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 02:17, 2 June 2025 (UTC)