/(••)

ǿ

̷/12̷

(Set Theory / Twelve-Tone Theory)

ۼ :

leebaejh@hanmail.net

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ѱ۹

A

abstract relation

߻

addition table

ǥ

aggregate

()

all-combinatorial set

all-combinatoriality

all-interval

()

all-interval series

()

all-interval set

()

all-interval tetrachord

()4

array

associative relationship

հ

atonal music

atonality

axis

axis of inversion

ȸ()

axis of symmetry

Ī

 

B

basic interval pattern (bip)

basic row operations

 

C

canonical form

, ǥ

c-centricity

c-߽ɼ

cardinal number (=cardinality)

centricity

߽ɼ

circular permutation

ȯ

class

(׾)

coherence

collection

ü

combinatorial hexachord

6

combinatorial source set

տõ

combinatoriality

common-tone theorem

Ģ

common tone under inversion

ȸ

common tone under transposition

̵

complement (=complementary set)

complement relation

հ

complement theorem

չĢ

complementary set (=complement)

complete invariance

Һ

composite operation

ռ

composite segment

ռ

composite segmentation

ռ()

compound operation

տ

comprehensibility

contour

,

correspondence

 

D

degree of symmetry

Ī

derivation

()

derived series

()

directed interval (=ordered interval)

(=)

duration series

dyad

2

 

E

enharmonic equivalence

̸

equivalence

equivalent

equivalent relation

equivalent sets

 

F

first-order all-combinatorial set

1

fourth-order all-combinatorial set

4

fragmentation

п

 

G

group composition

۹

 

H

hexachord

6

hexachord theorem

6Ģ

hexachordal combinatoriality

6

hexachordally combinatorial pairs

6() ¦

 

I

identity

ϼ

I-matrix

ȸƮ

imbrication

ħ,

I-related set

ȸ

inclusion relation

԰

index number

εġ

index vector

εԷ

integer

integer notation

integral serialism

intersection

interval

interval class

(=unordered pitch-class interval)

(=񼭿 )

interval-class content

(= interval-class member)

(=)

interval content

interval of transposition

̵ (=̵ġ)

interval succession

interval vector

Է

invariance

Һ

invariant subset

Һκ

invariant subset under inversion

ȸҺκ

invariant subset under transposition

̵Һκ

inversion

ȸ()

inversional axis

ȸ

inversional center

ȸ߽

inversional combinatoriality

ȸ

inversional symmetry

ȸĪ

inversional equivalence

ȸ

inversionally equivalent relation

ȸ()

inversionally symmetrical

ȸĪ()

 

J

 

 

 

K

K-relation

K-

Kh-relation

Kh-

 

L

literal complement

literal inclusion

literal relation

 

M

mapping

matrix

Ʈ, ü

maximum similarity relation

ִ

maximum invariance

ִҺ

member

(=)

membership

׿

minimum invariance

ּҺҺ

minimum similarity relation

ּ

mod 12 system

12ü

modulo 12 (=mod 12)

12

motivic correspondence

motivic recurrence

ȯ

multiple cross-reference

߻ȣ

multiple derived series

multiple motivic correspondence

ߵ

multiplication

±

multiplicity

ߺ

 

N

nexus set

ؼ

nonachord

9

non-combinatoriality

non-combinatorial set

normal form

ǥ

normal order

ǥؼ

null set

numerical notation

ڱ⺸

 

O

octachord

8

octatonic set

8

octave-related pitch

Ÿ

octave equivalence

Ÿ굿

operation

operator

order

order number

ȣ

order relation

ordered interval (=directed interval)

(=)

ordered inversion

ȸ

ordered pitch interval

ordered pitch-class interval

ordered set

ordered transposition

̵

ordinal number

()

original

 

P

palindrome

ȸ()

partition

prime-combinatoriality

pc content

pc-set correspondence

մ

pc-set identity

յϼ

pc-set relation

հ

pentatonic

5

permutation

pitch

pitch centricity

߽ɼ

pitch class (pc)

pitch-class content

pitch-class identity

ϼ

pitch-class interval

pitch-class number

ȣ

pitch-class set

pitch interval (= interval)

(=)

primary segment

ֺ

primary segmentation

ֺ

prime form

 

Q

 

 

 

R

R-related set

referential set

reflexive similarity relation

reordering

retrograde

()

retrograde-combinatoriality

retrograde inversion

ȸ()

retrograde-inversion-combinatoriality

ȸ

rhythmic set

rhythmic series

RI-related set

ȸ

ROPI (= retrograde-related OIP)

(OIP)

rotation

ȸ

rotational array

ȸ迭

row

,

 

S

scale degree

second-order all-combinatorial set

2

secondary set

2

segment

(=)

segmentation

(=)

septachord

7

series

serialism

set

set class

շ

set complex

պü

set member

տ

set name

ո

set table

ո

similarity

similarity relation

SOIP (= symmetrical OIP)

Ī輭(OIP)

source set

õ

staff notation

subset

κ

subset structure

κձ

superset

()

symmetrical all-interval set

Ī ()

symmetrical set

Ī

symmetry

Ī

 

T

tetrachord

4

tetrachordal combinatoriality

4

third-order all-combinatorial set

3

time-point set

ŸƮ

T-matrix

̵Ʈ

total organization

(=total serialization)

ü

(=ȭ)

transposition

̵

transposition number

(=interval of transposition)

̵ġ

(=̵)

transposition operator

̵

transpositional level

̵ܰ

transpositional symmetry

̵Ī

transpositional equivalence

̵

transpositionally equivalent relation

̵()

transpositionally symmetrical

̵Ī() (=̵ Ī)

trichord

3

T-related set

̵

trichordal combinatoriality

3

twelve-tone music

12

 

U

uneven combinatoriality

յ

union

unordered combinatorial hexachord

񼭿6

unordered interval

񼭿

unordered pitch interval

񼭿

unordered pitch-class interval

(= interval class)

񼭿

(=)

unordered set

񼭿

 

V

vector

, Է

 

W

 

 

 

X

 

 

 

Y

 

 

 

Z

Z-relation

Z-

Z-correspondent

Z-

ZC-relation

ZC-