Revision as of 23:19, 3 November 2025 by Lucius Chiaraviglio(talk | contribs)(Create page, starting with Bryan Deister's Lumatone mapping for subset 7ed(575¢))
By a large margin, the entire gamut of 336edo will not fit on a Lumatone. Nevertheless, a Lumatone can be used to play a musically useful subset of it.
7ed(575¢)
One of these subsets is 7ed(575 ¢), of which each increment corresponds to 23 increments of 336edo. For practical purposes, this is a non-octave tuning, although technically it repeats at the octave at 23 octaves, which would require a hypothetical XXXXL-sized Lumatone to implement and some kind of Shepard tone pattern to be all audible within the range of human hearing. Bryan Deister has demonstrated a mapping of this in 7ed(575 cents) improv (2025). In this, 7ed(575 ¢) is doubled to 14ed(1150 ¢), and then a compressed (non-octave) 4L 1s (3:2 step ratio) scale laid out on it if proceeding right and down, or a compressed 4L 2s (3:1 step ratio) scale if proceeding right and up. The range is over 6¼ instances of 1150 ¢, which slope gently upwards.
