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== EFG as combination of CPS's ==
== EFG as combination of CPS's ==


Every pitch in the system is a combination of either zero, one, two, three, or four of 11, 13, 17, or 19, for a total of 1 + 4 + 6 + 4 + 1 = 16 pitches. In other words it is the [[wikipedia:Power_set|powerset]] of {11, 13, 17, 19}. If familiar with [[Erv Wilson|Erv Wilson]]’s [[Combination_product_sets|Combination Product Sets]], or CPS's, it may help to think of an Euler-Fokker Genus as the intersection of the choose-1 tetrany, the choose-2 hexany, and the choose-3 tetrany, plus the unison, plus 11 * 13 * 17 * 19 all together which may be called the aota, an acronym for “all of the above”.
Every pitch in the system is a combination of either zero, one, two, three, or four of 11, 13, 17, or 19, for a total of 1 + 4 + 6 + 4 + 1 = 16 pitches. In other words it is the {{w|power set}} of {11, 13, 17, 19}. If familiar with [[Erv Wilson]]’s [[combination product set]]s, or CPS's, it may help to think of an Euler-Fokker Genus as the intersection of the choose-1 tetrany, the choose-2 hexany, and the choose-3 tetrany, plus the unison, plus 11 * 13 * 17 * 19 all together which may be called the aota, an acronym for “all of the above”.
[[File:EFG as CPSs.png|none|thumb|
[[File:EFG as CPSs.png|none|thumb|
EFG as combination of CPS's
EFG as combination of CPS's
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