User:Contribution/17-EDO resources: Difference between revisions
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* Starting from degree 0, the algorithm successively extends the set by applying one of the 17 possible intervals above every degree that has already been generated. | * Starting from degree 0, the algorithm successively extends the set by applying one of the 17 possible intervals above every degree that has already been generated. | ||
* Each interval carries a weight (its Height): more “simple” intervals get larger weights than more remote ones. | * Each interval carries a weight (its Height): more “simple” intervals get larger weights than more remote ones. | ||
* All | * All pitch-class sets obtained this way, modulo the 17-step equave, are grouped into chord classes (up to inversion and transposition). | ||
* Each chord class receives a score, computed from the weights of all the chains of intervals that generate it. | * Each chord class receives a score, computed from the weights of all the chains of intervals that generate it. | ||
* The classes are then sorted from highest to lowest score; only the best-scoring ones for each cardinality are shown in the tables. | * The classes are then sorted from highest to lowest score; only the best-scoring ones for each cardinality are shown in the tables. | ||