Wedgie/Archived version: Difference between revisions
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<math>\langle \langle W(2, 3) \ W(2,5) \ W(2, 7) \ W(3, 5) \ W(3, 7) \ W(5, 7)]].</math> | <math>\langle \langle W(2, 3) \ W(2,5) \ W(2, 7) \ W(3, 5) \ W(3, 7) \ W(5, 7)]].</math> | ||
More generally, if one takes ''r'' independent [[vals]] ''V''<sub>1</sub>, ..., ''V''<sub>''r''</sub> in a rank-''n'' [[JI subgroup]] ''q''<sub>1</sub>.[...].''q''<sub>''n''</sub>, then the wedgie for the rank-r temperament ''V''<sub>1</sub>& ...&''V''<sub>''r''</sub> is defined by: | More generally, if one takes ''r'' independent [[vals]] ''V''<sub>1</sub>, ..., ''V''<sub>''r''</sub> in a rank-''n'' [[JI subgroup]] ''q''<sub>1</sub>.[...].''q''<sub>''n''</sub>, then the wedgie for the rank-''r'' temperament ''V''<sub>1</sub>& ...&''V''<sub>''r''</sub> is defined by: | ||
# taking the [https://en.wikipedia.org/wiki/Wedge_product wedge product] of the vals (called a '''multival'''), and | # taking the [https://en.wikipedia.org/wiki/Wedge_product wedge product] of the vals (called a '''multival'''), and | ||
# dividing out the greatest common divisior of the coefficients, to produce an ''r''-multival. | # dividing out the greatest common divisior of the coefficients, to produce an ''r''-multival. | ||