22c Discussion - Finding the Normal Form of a PCS

Normalcy

Normal Form:

  • An ascending arrangement of a PC set in which the outside interval is smallest.
  • We use this to compare with other PC sets.
  • It is like when we put a chord in root position in order to compare it to other chords.
  • Notated with square brackets and commas
  • Ex: [2,6,7]

“What happens when multiple of my PC sets are tied for the smallest outer interval?”

  • Find the set with the smaller interval that is second from the outside. Repeat this process if there are further tie breakers