User:Lucius Chiaraviglio/Keyboard Layout Lab/Unnamed temperament Lumatone mappings: Difference between revisions

97edo (demonstrated to work): Insert after this: Bryan Deister's Lumatone mapping for 336edo subset as 7ed(575¢)
336edo (demonstrated to work but awaiting approval): Got approval, with instruction to fix note 0 position
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Restored:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 13:24, 28 May 2025 (UTC)
Restored:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 13:24, 28 May 2025 (UTC)


=== 336edo (demonstrated to work but awaiting approval) ===
=== 336edo (demonstrated to work) ===


The entire gamut of [[336edo]] will not fit on a Lumatone. Nevertheless, a Lumatone can be used to play a subset of it. One of these subsets is 7ed(575{{c}}), 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 [https://www.youtube.com/shorts/kPqYmCzZ8uY ''7ed(575 cents) improv''] (2025). In this, 7ed(575{{c}}) is doubled to 14ed(1150{{c}}), 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{{c}}, which slope gently upwards.
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. One of these subsets is 7ed(575{{c}}), 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 [https://www.youtube.com/shorts/kPqYmCzZ8uY ''7ed(575 cents) improv''] (2025). In this, 7ed(575{{c}}) is doubled to 14ed(1150{{c}}), 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{{c}}, which slope gently upwards.


{{Lumatone EDO mapping|n=336|start=290|xstep=69|ystep=-23}}
{{Lumatone EDO mapping|n=336|start=0|xstep=69|ystep=-23}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 02:48, 3 November 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 02:48, 3 November 2025 (UTC)<br>
Last Modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:23, 3 November 2025 (UTC)