MUS 2302 Theory IV - Test #2 Flashcards
Extended Tertian Chords
Counted to the farthest extension (must include every NATURAL extension between)
All extensions add M9, P11, M13 (5th can be omitted)
Altered Tertian Chords
Counted to the farthest NATURAL extension (must include everything between), then alterations listed from highest to lowest
All extensions add M9, P11, M13 (5th can be omitted)
Split-Note Chords
C(3!) = split 3rds; split root C(1!) will always use a root 1/2 step up, 5ths can be split flat or sharp C(5!)
Polychords
Must be separated by either register or voice; written as top chord over bottom chord (inversions not necessary)
Quartal/Quintal Harmony
4ths/5ths (don’t have to be P4s/P5s only)
Quartal/quintal = __number of notes__ x __interval__ on __root__ (e.g. 4x4 on A is a four note quartal chord building up from A)
Secundal Harmony
Also includes 7ths
Tone Clusters
Whole-Tone Chords
Four or five or more notes from the whole tone scale
Open Fifths
Only two pitch classes; only P5
Mixed-Interval Chords
Pitch vs. Pitch Class
C4, C5 = pitch, all C’s included in the pitch class of C
Set vs. Set Class
Set = any set of numbers; set class = sets that share the same cardinality and interval relations??
Interval vs. Interval Class
Interval = an interval between two specific pitches; interval class = the type of interval in half steps (1, 2, 3, 4, 5, 6) reduced to the tritone
Transpositional Equivalence
Inversional Equivalence
Normal Order
Any set rearranged to be ascending or descending
Best Normal Order
Any ascending set rearranged to be the most compact possible
Prime Form
A set in Best Normal Order, reset to begin on zero
Forte Labels
Cardinality
Number of pitch classes in a set
Dyad
Two note chords
Trichord
Three note chords
Tetrachord
Four note chords
Pentachord
Five note chords
Hexachord
Six note chords
Septachord
Seven note chords
Octachord
Eight note chords
Nonachord
Nine note chords
Complementary Sets
All the pitch classes NOT contained in a set
Interval-Class Vector
The inventory of interval classes contained in a set
Z-related sets
Share an interval class vector with another set of the same cardinality
Transpositional Operations (Tn)
Adding n to each pitch in a set, reset to Mod12
Inversional Operations (TnI)
Subtracting each pitch in a set from 12, then performing Tn
Degrees of Symmetry
When a set can be inverted/transposed and the result maps onto itself; every set has at least one: T0
Transpositional Symmetry
When performing Tn results in the same set
Inversional Symmetry
When performing TnI results in the same set
Multiplicative Operations (Mn)
Multiplying each pitch in a set by n, reset to Mod12
Subsets
Any set contained within a larger set (e.g. 237 from 1235678)
Supersets
Any set which contains a smaller set as well as something more (e.g. 1246 is a superset of 146)
All trichord prime forms
012 - ch
013 - oct
014 - hex
015
016 - V.t.
024 - WT
025 - pent
026 - Lyd.
027 - Q
036 - dim
037 - M/m
048 - +