Set Theory Relationship Calculator




































Forte Number











1. Using the text boxes above, enter up to ten sets of pitches using integers to represent pitches. See below for a guide to integer notation.

Pitch Integer Pitch Integer Pitch Integer
C 0 E 4 G♯/A♭ 8
C♯/D♭ 1 F 5 A 9
D 2 F♯/G♭ 6 A♯/B♭ t
D♯/E♭ 3 G 7 B e

Note: A♯/B♭ and B, which are 10 and 11 respectively, are written as “t” and “e.”

2. In your entries, any extra characters (i.e., anything other than integers, “t,” and “e”) will be eliminated as will repeated pitches. No less than two integers and no more than ten integers can be entered into a text box.

3. The calculator will calculate the normal form and prime form and return the Forte number for each of your entries. It will also return any common supersets and subsets between your entries under “Related Sets.”

4. You can click any Forte number to see supersets and subsets of that particular set displayed in center table.

5. You can hover over any Forte number in the center table to see more information about the set including prime form, interval vector, name, Z-related set, and complement.

6. Questions or comments? Contact Jonathan Caldwell.


Related Sets