List of set classes

Sets marked with a "Z" refer to a pair of different set classes with identical interval class content unrelated by inversion, with one of each pair listed at the end of the respective list when they occur.

The ordering of sets in the lists is based on the string of numerals in the interval vector treated as an integer, decreasing in value, following the strategy used by Forte in constructing his numbering system.

There are two slightly different methods of obtaining the prime form—an earlier one by Allen Forte and a later but now generally more popular one by John Rahn—both often confusingly described as "most packed to the left".

[5][6] Donald Martino had produced tables of hexachords, tetrachords, trichords, and pentachords for combinatoriality in his 1961 article, "The Source Set and its Aggregate Formations".

There is an anomaly in Allen Forte's book concerning the numbering of the pair of hexachords 6-Z28, [011232516393], and 6-Z49, [011231437293], where adjacency intervals are shown here by subscripts.

Set 3-1 has three possible versions: [0 1 1 1 2 T ], [0 1 1 T E 1 ], and [0 T T 1 E 1 ], where the subscripts indicate adjacency intervals. The normal form is the smallest "slice of pie" (shaded) or most compact form; in this case, [0 1 1 1 2 T ].