Two musical orderings

@article{Pendergrass2012TwoMO,
  title={Two musical orderings},
  author={Marcus Pendergrass},
  journal={Journal of Mathematics and Music},
  year={2012},
  volume={8},
  pages={59 - 72}
}
Orderings of one sort or another arise naturally whenever there is a notion of size or precedence among objects in a musical space. Paying attention to the order properties of the space can lead to new musical insights. In this paper, we study two musical orders that illustrate this point. In the first, we show that many of the most familiar chord and scale types in Western music appear as extremal elements in certain partial orders induced by set inclusion on pitch class sets of Tn-type. In… 

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