The Musician's Guide to Theory and Analysis
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WebFacts 1
We can predict the number of intervals in a pcset with the help of a simple formula: (n2 - n) / 2, [comp: set as fraction; see ms.] where n = the number of elements in the pcset. For a tetrachord, the formula yields (16 - 4) / 2, [comp: set as fraction; see ms.] or 6. For a pentachord, it yields (25 - 5) / 2, [comp: set as fraction; see ms.] or 10. You can use this formula to double-check that you have calculated your ic vector correctly. For example, look at the ic vector we calculated for a pentachord: [221311]. If we sum all its elements, we get 10.