Lumatone mapping for 39edo: Difference between revisions

Add Bryan Deister's 39edo Lumatone mapping; also add text for the diatonic mapping
m Cleanup
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{{Lumatone EDO mapping|n=39|start=6|xstep=7|ystep=-5}}
{{Lumatone EDO mapping|n=39|start=6|xstep=7|ystep=-5}}


== Augmented + Immunity ==
== Augmented + immunity ==
 
[[Bryan Deister]] has used a [[porcupine]]-inspired layout for [[39edo]], as demonstrated in [https://www.youtube.com/watch?v=XLRaG_pBN7k&lc=UgwfjZwncsryQjeNUg14AaABAg.AHVkw8aNSEGAHZU_J2qOPM ''39edo jam''] (2025). To take advantage of the fact that 39edo is at the intersection of [[augmented (temperament)|augmented]] and [[immunity]], the rightward generator is 5\39, half of a [[6/5]] minor third as [[12/11]]~[[11/10]] (but much closer to 12/11). This enables a modmos derived from [[1L 6s]] by shrinking the large step from 9\39 to 8\39 and expanding one of the small steps from 5\39 to 6\39, to enable chords such as 12/11 (somewhat sharp, at 5\39) 6/5 (slightly flat, at 10\39) [[11/8]] (near-just, at 18\39) [[3/2]] (mildly sharp, 23\39) [[18/11]] (moderately sharp, at 28\39) [[9/5]] (near-just, at 33\39). Playing this chord uses almost the same geometry of depressed keys as that for playing a diatonic scale in a diatonic mapping (but has a very different sound effect), save when proceeding to the next octave. The range is slightly over 6 octaves overall (which slant moderately downwards), but with the first and last octaves missing some notes due to clipping in the upper left and lower right corners of the layout.
[[Bryan Deister]] has used a [[Porcupine]]-inspired layout for [[39edo]], as demonstrated in [https://www.youtube.com/watch?v=XLRaG_pBN7k&lc=UgwfjZwncsryQjeNUg14AaABAg.AHVkw8aNSEGAHZU_J2qOPM ''39edo jam''] (2025). To take advantage of the fact that 39edo is at the intersection of [[Augmented]] and [[Immunity]], the rightward generator is 5\39, half of a [[6/5]] minor third as [[12/11]] ~ [[11/10]] (but much closer to 12/11). This enables a MODMOS derived from [[1L 6s]] by shrinking the large step from 9\39 to 8\39 and expanding one of the small steps from 5\39 to 6\39, to enable chords such as 12/11 (somewhat sharp, at 5\39) - 6/5 (slightly flat, at 10\39) - [[11/8]] (near-just, at 18\39) - [[3/2]] (mildly sharp, 23\39) - [[18/11]] (moderately sharp, at 28\39) - [[9/5]] (near-just, at 33\39). Playing this chord uses almost the same geometry of depressed keys as that for playing a diatonic scale in a diatonic mapping (but has a very different sound effect), save when proceeding to the next octave. The range is slightly over 6 octaves overall (which slant moderately downwards), but with the first and last octaves missing some notes due to clipping in the upper left and lower right corners of the layout.


{{Lumatone EDO mapping|n=39|start=34|xstep=5|ystep=3}}
{{Lumatone EDO mapping|n=39|start=34|xstep=5|ystep=3}}
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== Amity ==
== Amity ==
The [[Lumatone mapping for Amity]] is also above average at putting good intervals close together, and makes chromatic runs much easier than the previous two layouts.
The [[Lumatone mapping for amity]] is also above average at putting good intervals close together, and makes chromatic runs much easier than the previous two layouts.
{{Lumatone EDO mapping|n=39|start=0|xstep=6|ystep=-1}}
{{Lumatone EDO mapping|n=39|start=0|xstep=6|ystep=-1}}


== Semiquartal (Immunity) ==
== Semiquartal (immunity) ==
The [[Immunity]] mapping gives excellent range, but the resulting [[5L 4s]] scale has a 7:1 step ratio, which makes it very lopsided.
The [[immunity]] mapping gives excellent range, but the resulting [[5L 4s]] scale has a 7:1 step ratio, which makes it very lopsided.
{{Lumatone EDO mapping|n=39|start=21|xstep=8|ystep=-1}}
{{Lumatone EDO mapping|n=39|start=21|xstep=8|ystep=-1}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}