Go to Set Theory Part II. Linear Sets (Serial Theory) Abdo. see
pitch number div, or directed-interval vector, also interval
string. The distance between successive (ordered) pcs cycling to
an octave. A prime div is the div of a prime form. Forte Prime.
A generalized version of a set that includes its inversion.
Index number. The transposition number, in semitones, above a
reference pc. P5 would be a transposition up 5 semitones from
P0. Interval. The distance between two pitches. In set theory
intervals are measured by the number of semitones. Thus, CE is
not a major third (M3) but 4 semitones, or simply 4. A minor
sixth would be 8. Interval class (ic). The distance between two
pitch classes, measured by the shortest distance. C to G may be
the interval of 7, but its interval class is 5. Thus, the
largest ic is the tritone (6). Interval String. see div Modulo
12 (mod12). An arithmetic system nearly identical to that of a
clock, where 13=1, 14=2 etc. However, in modulo 12 the number
12=0. If we want to know w