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



Asked by: Marissa Martin

How do you find the prime form of music theory?





The interval between eleven. And two is three semitones the interval between two and three is one semitone the end the interval between 3 and 11 is 8 semitones.

How do I get prime form?

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 an interval 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.

What does Prime mean in music?

Two notes which occupy the same position on the staff share a prime interval. You can also say that they are a first apart, or are in unison. All of these terms mean basically the same thing. So, if you’re reading music and play the note C, but then the next note is also a C, those notes are a prime apart.

What is an interval class music theory?





In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or “(even completely incorrectly) as ‘interval mod 6′” (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch

What is a harmonic interval?

Definition of harmonic interval



: the pitch relation between simultaneous musical tones.

Is an octave a interval?

Many musical scales encompass an octave; in the diatonic scales (major, minor, and modal) of Western music, the octave is an interval of eight notes. It is the only interval to appear as a constant in the musical scales of nearly every culture.

Is Forte a pitch?

In musical set theory, a Forte number is the pair of numbers Allen Forte assigned to the prime form of each pitch class set of three or more members in The Structure of Atonal Music.

What are the three types of intervals?

There are 3 types of interval notation: open interval closed interval, and half-open interval.



How do you find the ordered pitch of a class interval?

Ordered pitch-class intervals measure the distance between pitch classes, always ascending. This is visualized most easily by picturing the twelve tones around a clock face, and measuring the interval by going around the circle clockwise. Thus, from C to E = 4, but E to C = 8 (Example 4).

How do you find the class interval?

What is this? The class interval is the difference between the upper class limit and the lower class limit. For example, the size of the class interval for the first class is 30 – 21 = 9. Similarly, the size of the class interval for the second class is 40 – 31 = 9.

What are the four types of intervals?

There are five different types of quality of interval which are:



  • perfect intervals.
  • major intervals.
  • augmented intervals.
  • minor intervals.
  • diminished intervals.


What interval is a to E?

4th intervals above note E

Short Medium Intervals ‘above’ statement
d4 dim4 The E to Ab interval is diminished 4th
P4 perf4 The E to A interval is perfect 4th
A4 aug4 The E to A# interval is augmented 4th


What interval is a to C?

Between A and C there are 3 semitones — it’s a minor third. 3. We have to decrease the interval because of the sharp sign. The minor third becomes a diminished third.