Terms  Definitions 

Interval Cycle 
A succession of repeated, equal intervals

Cycle 1/11 
Cycle of semitones; divides the octave into twelve equal segments; chromatic scale; only one chromatic scale

Cycle 2/10 
Cycle of whole tones; divides the octave into six equal segments; wholetone scale; two possible scales

Cycle 3/9 
Cycle of minor thirds; divides the octave in four equal segments; fully diminished seventh chord; three possible scales

Cycle 4/8 
Cycle of major 3rds; divides the octave into three equal segments; augmented triad; four possible scales

Cycle 5/7 
Cycle of perfect fourths; divides the octave into twelve equal segments; only one scale

Cycle 6 
Cycle of tritones; divides the octave into two equal segments; six possible tritones

Cell x (0123) 
One of Bartók's three scales; a segment of the chromatic scale

Cell y (0246) 
One of Bartók's three scales; a segment of the wholetone scale

Cell z (0167) 
One of Bartók's three scales; two overlapping tritones

Transpositional combination 
A property that results when a set can be divided into two or more segments related among themselves by transposition

Symmetry around an axis 
A musical structure where the axis is a pitch or pitch class at midpoint between all the notes in the texture, and all the intervals above or below the axis are the same

Whole tone scale 
A scale that divides the octave into six whole tones

Octatonic scale 
An eightnote scale in which semitones and tones alternate

Hexatonic scale 
A sixnote scale in which semitones and minor 3rds alternate

Cardinal Number 
The number of elements in a set

Normal ordering 
An arrangement of pitch classes in ascending numerical succession where they cover the shortest possible span.

Twelvetone row 
An ordering of twelve pitch classes

Order number 
A number in the twelvetone row that shows the position of the specific pitch class

Prime order 
The original order of a row

Inversion order 
The inverted order of a row

Retrograde order 
The reverse order of a row

Retrograde inversion order 
The order of a row that is inverted and reversed

Generative Rhythm 
A rhythm that grows from a small initial segment following a systematic process

Seed 
The initial cell from which a generative rhythm is constructed

Recursive progression 
Results from a seed that generates a larger seed

Progressive rhythm 
Results when an initial seed is changed by a fixed value

Chromatic progression 
The value of a progressive rhythm is added or subtracted by 1

Metric modulation 
Process where music moves from one tempo to another in a series of intermediate steps

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