Lumatone mapping for 39edo: Difference between revisions
→Semiquartal (immunity): Add Bryan Deister's Biyatismic mapping |
→Semiquartal (Immunity): Fix scale description and add demo video; also minor fixes to section headings |
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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 + | == 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 (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. | ||
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{{Lumatone EDO mapping|n=39|start=0|xstep=10|ystep=-7}} | {{Lumatone EDO mapping|n=39|start=0|xstep=10|ystep=-7}} | ||
== Semiquartal ( | == Semiquartal (Immunity) == | ||
The [[immunity]] mapping gives excellent range (over 6⅓ octaves), but the resulting [[5L 4s]] scale | The [[immunity]] mapping gives excellent range (over 6⅓ octaves), but the resulting mapping ([[4L 1s]] scale with an 8:7 step ratio and rotated [[5L 4s]] scale with a 7:1 step ratio) is very lopsided; on the other hand, the octaves slope up in this mapping more gently than they slope down on the previous four mappings. [[Bryan Deister]] has used this mapping for [https://www.youtube.com/shorts/oeFI957W-xg ''39edo''] (2023), although not using all of the range due to mapping to a single MIDI channel (and the note 0 position is different). | ||
{{Lumatone EDO mapping|n=39|start=21|xstep=8|ystep=-1}} | {{Lumatone EDO mapping|n=39|start=21|xstep=8|ystep=-1}} | ||