Chapter 3 Terms

Question 1

Pitch Classes

Answer 1

a group of pitches with the same name

Question 2

octave equivalence

Answer 2

does not distinguish between octave related pitches with the same name

Question 3

enharmonic equivalence

Answer 3

for our purposes pitches with different names but the same tone are the same

Question 4

integer notation

Answer 4

notating with numbers instead of pitch names

Question 5

mod 12 arithmetic

Answer 5

using the numbers 0 - 11 to notate pitches

Question 6

pitch class space

Answer 6

intervals in the realm of pitch classes

Question 7

pitch space

Answer 7

the realm of pitches

Question 8

ordered pitch class interval

Answer 8

the distance between two pitch classes considered in a particular order

Question 9

unordered pitch class interval

Answer 9

the order doesn’t matter. the only thing that matters is the shortest span between the two pitches interval class

Question 10

interval class

Answer 10

grouping an interval and its inversion

Question 11

pitch class set

Answer 11

an unordered collection of pitch classes

Question 12

cardinal number

Answer 12

the number of elements in a set

Question 13

tri-chord

Answer 13

a set with a cardinal number 3

Question 14

tetra-chord

Answer 14

a set with a cardinal number 4

Question 15

penta-chord

Answer 15

a set with a cardinal number 5

Question 16

hexa-chord

Answer 16

a set with a cardinal number 6

Question 17

septa-chord

Answer 17

a set with a cardinal number 7

Question 18

octa-chord

Answer 18

a set with a cardinal number 8

Question 19

nona-chord

Answer 19

a set with a cardinal number 9

Question 20

monad and dyad

Answer 20

sets with cardinal numbers 1 and 2

Question 21

normal order

Answer 21

arranging of pitch classes in ascending numerical order in such a way that they cover the shortest possible span

Question 22

rotation

Answer 22

rotating a set (placing the first element last and leaving the remaining elements as they are)

Question 23

transpositional equivalence

Answer 23

first arrange sets in normal order and if they can be mapped out onto another exactly then they are transpositional equivalent

Question 24

adjacency interval series

Answer 24

a set of ordered pitch class intervals between adjacent pitch classes

Question 25

inversion equivalence

Answer 25

if a pitch class set can be mapped onto one another by inversion followed by transposition

Question 26

index number

Answer 26

the transpositional operator applied to an inversions

Question 27

set class

Answer 27

the collection of equivalent forms of a same set

Question 28

prime form

Answer 28

the numerical arrangement of set classes

Question 29

interval class vector

Answer 29

a list of the complete interval class content of a pitch class set

Question 30

list of set classes

Answer 30

prime forms

Question 31

Forte name

Answer 31

a double number assigned by Forte to each set class

Question 32

Z-related sets

Answer 32

nonequivalent sets with identical interval-class vectors

Question 33

invariant tones

Answer 33

common tones

Question 34

index vector

Answer 34

each of the twelve integers represents the number of invariant tones under inversion by the corresponding index number

Question 35

complement

Answer 35

the set formed by all pitch classes not included in the original set

Question 36

aggregate

Answer 36

the union of a set and its complement (all twelve pitch classes)

Question 37

literal complement

Answer 37

the set that contains the actual pitch classes not included in the original set

Question 38

abstract complement

Answer 38

any meter of the set class that includes its literal complement (any member of the set class represented by the prime form of the literal complement)

Question 39

hexa-chordal complementarity

Answer 39

if you refer to the list of set classes you will see that there are 50 different hexa-chordal sets. twenty of them are self complementary

Question 40

subsets

Answer 40

sets contained within a given set

Question 41

superset

Answer 41

the sets that contain the subsets

Question 42

literal subset

Answer 42

a set made up of actual pitch classes included in a given set

Question 43

abstract subset

Answer 43

any member of the set class that includes a literal subset (that is nay member of the set class represented by the prime form of the literal subset)

Question 44

transpositional symmetrical set

Answer 44

can map onto itself under transposition

Question 45

inversion ally symmetrical set

Answer 45

can map onto itself under inversion

Question 46

degree of transpositional symmetry

Answer 46

the number of transpositional levels at which the set maps onto itself

Question 47

degree of inversion symmetry

Answer 47

the number of inversion levels at which the sets maps onto itself