1-3-5-7-9-11 eikosany: Difference between revisions
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== Music == | |||
;[[Daniel Corral]] | |||
:[https://www.youtube.com/watch?v=62FggGa9bMg ''Eikosany Study''] (2021) | |||
:[https://soundcloud.com/spinalfrog/sets/1-3-5-7-9-11-eikosany-reference-pitch-rotation-6-and-9 ''1-3-5-7-9-11 Eikosany Reference pitch (Rotation 6 and 9)''] (2025) | |||
;[[Diego Villaseñor]] | |||
:[https://www.youtube.com/watch?v=w2LO5SyieY8 ''Dekany chords in the 1-3-5-7-9-11 Eikosany''] (2021) | |||
[[Category:Eikosanies]] | [[Category:Eikosanies]] | ||
[[Category:20-tone scales]] | [[Category:20-tone scales]] | ||
[[Category:Pages with Scala files]] | [[Category:Pages with Scala files]] | ||
Latest revision as of 06:56, 2 July 2026
The simplest possible eikosany, comprised of three-combination sum products of the first 6 odd numbers. This creates a scale of 1 33/32 21/20 11/10 9/8 7/6 99/80 77/60 21/16 11/8 7/5 231/160 3/2 63/40 77/48 33/20 7/4 9/5 11/6 77/40 2/1, with steps of 33/32 56/55 22/21 45/44 28/27 297/280 28/27 45/44 22/21 56/55 33/32 80/77 21/20 55/54 36/35 35/33 36/35 55/54 21/20 80/77. With largest steps of slightly over 100 cents and smallest ones of 31 cents, this is actually fairly optimal melodically for the number of notes it has and contains many simple familiar chords, making it a good introduction to larger just intonation scales, but is still a significant step upwards in complexity compared to using 12edo and requires a custom instrument to play ergonomically, making it much harder to work in than a hexany or dekany.
! 1-3-5-7-9-11_Eikosany.scl ! 1 3 5 7 9 11 3-combination Eikosany 20 ! 53.272 84.467 165.004 203.910 266.870 368.914 431.875 470.780 551.317 582.512 635.785 701.955 786.422 818.188 866.959 968.825 1017.596 1049.362 1133.830 1200