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