Basic Set Theory
a note with both letter name and register designation: e.g. Bb3
What is pitch?
The distance between two pitches, measured in half-steps; e.g. D4-A6 = +19
What is pitch interval?
A transformation where one note moves by whole step; e.g. CM --> am
What is relative (R)?
Two set-classes that share the same interval-class vector have this relationship
What is Z-related?
A 12x12 grid used to show all 48 possible row forms
What is matrix?
The set of all pitches with the same letter name (in any octave)
What is pitch-class?
The distance between two pitch classes; e.g. D-A = 7; A-D = 5
What is interval?
A transformation where the ROOT of both chords is the same
What is parallel (P)?
The set-class that includes all the pitch-classes NOT found in the referential set
What is literal complement?
A statement of all 12 pitch-classes without repeating a pitch-class
What is 12-tone row?
A collection of all pitch-class sets related by transposition and/or inversion to a given referential set: e.g. 3-1* (012)
What is set-class?
A tally of all the interval classes in a given set class; e.g. <121002>
What is interval-class vector?
A transformation that flips over the minor third; e.g. CEG keeps minor third EG
What is leading-tone exchange (L)?
A set-class and its complement together form this
What is the aggregate?
R and RI forms are read ___ to ____; but they are labeled by their ____ pitch-class.
An unordered collection of pitch-classes
What is pitch-class set?
What is interval class?
An LP chain (e.g. LP^3) creates this collection
What is hexatonic?
Two set-classes that share a subset n-1 have this relationship
What is Rp?
The position of a pitch-class in terms of an unfolding row
What is order number?
A representation of a set-class that is most compacted to the left and transposed to 0
What is prime form?
The interval-class vector for 4-Z29 & 4-Z15
What is <111111>?
When performing an L or P transformation that begins on a minor triad, the note that moves goes this direction; e.g. am [L] --> FM
What is up?
The a and b forms of a non-symmetrical set-class
What is the two Tn (transposition) classes associated with a set-class?
The intervallic-inverse of the row in its various transpositions
What is Inversion (I)?