Lumatone mapping for 74edo: Difference between revisions
Possible way to get all of the notes in the diatonic mapping, just not all at once. |
Add Bryan Deister's Cantonismic-Werkicsmic rank-3 temperament mapping |
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The [[2L 9s]] mapping is another option, especially if you don't mind using the second best mapping for some notes in larger chords; however, it skips some notes in all octaves, exacerbated in the lower and upper full octaves by the shear inherent in this layout. | The [[2L 9s]] mapping is another option, especially if you don't mind using the second best mapping for some notes in larger chords; however, it skips some notes in all octaves, exacerbated in the lower and upper full octaves by the shear inherent in this layout. | ||
{{Lumatone EDO mapping|n=74|start=27|xstep=4|ystep=15}} | {{Lumatone EDO mapping|n=74|start=27|xstep=4|ystep=15}} | ||
== Cantonismic-Werckismic rank-3 temperament == | |||
[[Bryan Deister]] has demonstrated the [[7L 6s]] mapping of [[74edo]] in [https://www.youtube.com/shorts/ylOGUb395Gg ''microtonal improvisation in 74edo''] (2025). The rightward generator (8\74) functions as ~[[14/13]]; three of them make a classic major third ~[[5/4]] (the [[cantonisma]] 10985/10976 is tempered out); five of them make an essentially-just undecimal subfifth ~[[16/11]]; and eight of them make a highly accurate undecimal supraminor seventh ~[[20/11]]. The upward generator (5\74) functions as ~[[21/20]] and ~[[22/21]] (the Werckisma ([[441/440]] is tempered out); two of these make ~[[11/10]]; five of these make ~[[24/19]] (which is distinguished from ~5/4); and eight of these make ~[[16/11]]. The range is about just over 3 octaves with no missing notes, and the octaves slope down and wrap around vertically. | |||
{{Lumatone EDO mapping|n=74|start=4|xstep=8|ystep=-5}} | |||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||