- 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