Geometric demonstration of the generalized unique intervallic multiplicity theorem
Brian J. McCartin · International Mathematical Forum · 2014
Copyright c © 2014 Brian J. McCartin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A geometric approach is developed to prove that, up to rotation, re-flection and circle-of-fifths transformation, the diatonic hexachord and septachord are the only musical scales possessing the Generalized Unique Intervallic Multiplicity Property. 1