Suggested Learning Resources
- Analyze the set’s ordered pitch intervals (number of half steps between notes,
also indicating direction)
- Choose a beginning pitch for your inverted set
- Notate the remaining pitches using the ordered pitch-interval sequence, but with
the direction of each sign reversed.
- Example an ordered pitch interval set of +2, +2, -1, +2 is inverted to -2, -2,
+1, -2
- Example: Let's find the inversion of the ordered-pitch-set
- First: calculate the intervals between each pitch in the set ... +7 -1 +7
- Second: change the direction of the pluses and minuses ... -7 +1 -7
- Third: determine the starting pitch (same as the original pitch). Using integer
notation in this example, the starting pitch is 5
- Fourth: apply the inverted intervals to obtain the other pitches. The full inversion
in integer notation is <5,t,e,4>
https://youtu.be/KgELJOpLNaE
Objective 51.1: Calculate the inversion of an ordered pitch-set