Lumatone mapping for 74edo: Difference between revisions
Possible way to get all of the notes in the diatonic mapping, just not all at once. |
→Diatonic: Add demo video |
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{{Lumatone mapping intro}} However, due to its size, this mapping does not cover all the notes, although this does not matter in many keys because lower limit harmonics are relatively close together, which opens the possibility that even modulation to remote keys might be accommodated in some cases by the use of Lumatone presets mapping different diatonic subsets of 74edo. | {{Lumatone mapping intro}} However, due to its size, this mapping does not cover all the notes, although this does not matter in many keys because lower limit harmonics are relatively close together, which opens the possibility that even modulation to remote keys might be accommodated in some cases by the use of Lumatone presets mapping different diatonic subsets of 74edo. | ||
== Diatonic == | == Diatonic == | ||
Despite the missing notes, [[Bryan Deister]] has used the diatonic mapping in [https://www.youtube.com/shorts/dB9_3TC3yPo ''Resonance - Home (microtonal cover in 74edo)''] (2026). | |||
{{Lumatone EDO mapping|n=74|start=70|xstep=12|ystep=-5}} | {{Lumatone EDO mapping|n=74|start=70|xstep=12|ystep=-5}} | ||
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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}} | ||