Wedgie/Archived version: Difference between revisions
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* you can think of JI ratios as vectors living in the n-dimensional lattice of the "JI subgroup" | * you can think of JI ratios as vectors living in the n-dimensional lattice of the "JI subgroup" | ||
* you know what a "period" and a "generator" of a rank-2 temperament are | * you know what a "period" and a "generator" of a rank-2 temperament are | ||
* you know what a [[val]] is. | * you know what a [[val]] is and how to work with one. | ||
===The procedure=== | ===The procedure=== | ||
Consider the rank-2 temperament a&b, where a and b are two [[val]]s. Then the entries of the wedgie W corresponding to a&b are W(2, q_1), ..., W(2, q_n), and W(q_i, q_j) for i < j, and the entry W(p,q) is given by a(p)b(q) - a(q)b(p). (This is how the wedge product of two 1-forms a and b works.) | Consider the rank-2 temperament a&b, where a and b are two [[val]]s. Then the entries of the wedgie W corresponding to a&b are W(2, q_1), ..., W(2, q_n), and W(q_i, q_j) for i < j, and the entry W(p,q) is given by a(p)b(q) - a(q)b(p). (This is how the wedge product of two 1-forms a and b works.) | ||