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Equal Divisions of the Triple Octave -- frequency ratio 8/1, aka "Octuple" -- are closely related to Equal Divisions of the Octave -- frequency ratio 2/1, aka "Duple" -- in other words, ED2 or [[EDO]] scales. Given any number which is coprime to 3 for ED2, an ED8 can be generated by taking every third tone of the ED2. For example, given 5ED2 (aka [[5edo]]), three octaves of which, in cents are: | Equal Divisions of the Triple Octave -- frequency ratio [[8/1]], aka "Octuple" -- are closely related to Equal Divisions of the Octave -- frequency ratio 2/1, aka "Duple" -- in other words, ED2 or [[EDO]] scales. Given any number which is coprime to 3 for ED2, an ED8 can be generated by taking every third tone of the ED2. For example, given 5ED2 (aka [[5edo]]), three octaves of which, in cents are: | ||
0 240 480 720 960 1200 1440 1680 1920 2160 2400 2640 2880 3120 3360 3600... | 0 240 480 720 960 1200 1440 1680 1920 2160 2400 2640 2880 3120 3360 3600... | ||