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by Jeff_Brown
1508 days ago
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> AFAIU, historically 12-TET is really a compromise, sacrificing some harmonicity to simplify and enable having symmetrical 7-note tonality in any traditional mode starting from any point in any scale It is. And it's a surprisingly lucky compromise. By some metrics 19-EDO, 22-EDO and 31-EDO dominate 12-EDO for traditional (5-limit) music theory. (And of course every multiple of 12 does.) But if you want strictly better thirds and fifths, the smallest EDO that qualifies is 41. For anyone interested in big microtonal scales, there's a great website[1] that will render a touchscreen-friendly virtual keyboard with whatever scale and layout (provided it's hexagonal) you want. Don't worry about all the menus to start, just pick something from the first menu, "Tuning\Layout Quick Links". [1] http://terpstrakeyboard.com/web-app/keys.htm |
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