Is there a way to determine a set's prime form when given its interval vector?

1. How do you find the prime form of a song?
2. How do you find the interval of a vector?
3. How do you find the interval class in music theory?

How do you find the prime form of a song?

Prime form is the version of the set that is transposed to zero and is most compact to the left (compared with its inversion.) You can find prime form mathematically or by using the clock face.

How do you find the interval of a vector?

First, after determing normal form, measure from the first note to all the other notes. Second, measure from the second note to all higher notes (not back or down to the first note). Continue measuring from each successive note to the notes following and you will have completed the interval vector.

How do you find the interval class in music theory?

Unordered intervals represent the shortest distance between two pitches or pitch classes, without any reference to the order they are in. To determine the unordered interval, simply find the shortest distance between two pitches. The unordered pitch interval from G4 to A-sharp5 is 15.