Objectives 4

46.1 Define atonal music, focal pitches, pitch class, set, elements, and subset
46.2 Define integer notation, and be able to list any set of pitch letters as integer notation
46.3 Define cardinality, aggregate, literal complements
46.4 Define, notate and label Octatonic Scales and Whole Tone Scales starting on any pitch
47.1 Calculate addition and subtraction using mod12 arithmetic
47.2 Distinguish between pitch-class, pitch-class-sets, ordered-pitch-intervals, unordered-pitch-intervals, ordered-pitch-class-intervals and unordered-pitch-class-intervals
48.1 Arrange pitch-class sets correctly (ascending order, clockwise, fewest gaps) [Normal Order]
48.2 Use mod12 or clock method to transpose pitch-class-sets
49.1 Calculate ordered-pitch-intervals and unordered-pitch-intervals
49.2 Calculate ordered-pitch-class-intervals and unordered-pitch-class-intervals
49.3 Define and identify interval-classes
50.1 Define and calculate the interval-class-vector for a given set
51.1 Calculate the inversion of an ordered pitch-set
51.2 Calculate the inversion of a pitch-class-set
53.1 Correctly label sets related by transposition with a Tx number, and correctly label sets related by inversion with an index number
54.1 Define set-classes, and identify all possible pitch-class-sets contained within a set-class.
54.2 Calculate prime form of a set-class in integer notation
54.3 Read and locate set-class-labels from Allen-Forte's set-class list
54.4 Use Allen-Forte's set-class list to find complement sets
55.1 Use the Common-Tone-Theorem and Interval-class-vectors to calculate number of common tones between two pitch-class-sets
55.2 Define serialism, set, segment, and element in the context of serial composition
56.1 Define, identify, label, and calculate retrograde of a pitch segment.
56.2 Identify prime form of a pitch segment
56.3 Provide proper labels to the following operations to pitch segments (1) Transpose (2) Retrograde (3) Inversion (4) Retrograde Inversion
57.1 Define twelve-tone-row, and label rows after applying the operations of transposition, inversion, retrograde, and retrograde inversion
57.2 Construct a Row Matrix given a 12 tone row
57.3 Identify the contents of a Row Matrix given its Row-Matrix-Label
58.1 Differentiate between perceived and notated meter in real music examples
58.2 Identify changing meter and polymeter
58.3 Identify asymmetrical meter, ametric music, additive rhythm, and time-line notation in real music examples
59.1 Define the concepts of total serialism and the Fibonacci Series in regards to music composition
59.2 Define and identify metric modulation
59.3 Define and identify minimalism, moment form, and chance music