Wedgie/Archived version: Difference between revisions
m →The procedure: changing POTE to CTE |
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== How the period and generator falls out of a rank-2 wedgie == | == How the period and generator falls out of a rank-2 wedgie == | ||
The following is a procedure for finding a period and a generator for a rank-2 regular temperament on the 2.''q''<sub>1</sub>.(…).''q''<sub>''n''</sub> [[JI subgroup]]<ref>Note that ''q''<sub>1</sub> is not 2, but the next | The following is a procedure for finding a period and a generator for a rank-2 regular temperament on the 2.''q''<sub>1</sub>.(…).''q''<sub>''n''</sub> [[JI subgroup]]<ref>Note that ''q''<sub>1</sub> is not 2, but the next element in the chosen basis of the group</ref>. We also give a (hopefully convincing and enlightening) proof of why the procedure always works. We'll assume that the [[equave]] is the octave, but non-octave JI equaves can be substituted for the octave if needed, by substituting the appropriate JI ratio for 2/1. | ||
The following assumes that: | The following assumes that: | ||