Glossary
Forte Number
Glossary
Set Theory
Allen Forte assigned every set class (sets of chords and scales with the same interval content) its own number (Forte number). So the major and minor triads have Forte number 3-11, the diminished seventh chord 4-28, etc.
The page 7-35, (013568t), Diatonic represents the set of all twelve transpositions of the diatonic scales. The first part, “7-35” is the the Forte number of the set class: seven for the cardinality or number of distinct pitch classes (note names without regard to octave or duplication) in a given diatonic scale.
The next number, 35, was assigned by Allen Forte (1977) and is basically arbitrary. (The number in parentheses (013568t) is the prime form, or a transposable, numerical representation of the unordered diatonic scale, reduced to its lowest (numerical) form.)
Set Theory
Allen Forte assigned every set class (sets of chords and scales with the same interval content) its own number (Forte number). So the major and minor triads have Forte number 3-11, the diminished seventh chord 4-28, etc.
The page 7-35, (013568t), Diatonic represents the set of all twelve transpositions of the diatonic scales. The first part, “7-35” is the the Forte number of the set class: seven for the cardinality or number of distinct pitch classes (note names without regard to octave or duplication) in a given diatonic scale.
The next number, 35, was assigned by Allen Forte (1977) and is basically arbitrary. (The number in parentheses (013568t) is the prime form, or a transposable, numerical representation of the unordered diatonic scale, reduced to its lowest (numerical) form.)