ComposerTools.com / Theory / Pitch Class Sets / 3. The Prime Form

3         The Prime Form

3.1          Similar Pitch Class Sets:  Set Classes & Prime Forms

 

 

 

3.2          Uses for The Prime Form

3.3          Determining the Prime Form:  The Rigorous Method

 

[0,  4,  6,  8]

[4,  6,  8, 12]

[6,  8, 12, 16]

[8, 12, 16, 18]

 

 

There is a tie!  Versions [0,4,6,8] and [4,6,8,12] both have a minimum distance between first and last of 8

Distances between the first and second numbers:

        So, in our example, [4,6,8,12] is preferred.

3.4          Determining the Prime Form:  Easier Methods

For example, the prime form of [0,8,6,8] is (0,2,4,8); and the prime form of [2,4,8,9] is (01,15,7) :

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



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