Polynym Math

set comparison between two polynyms

PMusical Textures ⊥ Pego development


Equality

$$A \neq B$$
A is not equal to B

Subset

$$A \not\subseteq B$$
A is not a subset of or equal to B

Superset

$$A \not\supseteq B$$
A is not a superset of or equal to B

Intersection

$$A \cap B =$$
{ }

Union

$$A \cup B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic, autonomous, conformist, conscientious, impulsive, individualistic, integrated, self-aware, self-protective }

Symmetric Difference

$$A \ominus B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic, autonomous, conformist, conscientious, impulsive, individualistic, integrated, self-aware, self-protective }

Difference

$$A - B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic }

Difference

$$B - A =$$
{ autonomous, conformist, conscientious, impulsive, individualistic, integrated, self-aware, self-protective }

Cartesian Product

$$A \times B =$$
{ (Heterophonic, autonomous),
(Heterophonic, conformist),
(Heterophonic, conscientious),
(Heterophonic, impulsive),
(Heterophonic, individualistic),
(Heterophonic, integrated),
(Heterophonic, self-aware),
(Heterophonic, self-protective),
(Homophonic, autonomous),
(Homophonic, conformist),
(Homophonic, conscientious),
(Homophonic, impulsive),
(Homophonic, individualistic),
(Homophonic, integrated),
(Homophonic, self-aware),
(Homophonic, self-protective),
(Homorhythmic, autonomous),
(Homorhythmic, conformist),
(Homorhythmic, conscientious),
(Homorhythmic, impulsive),
(Homorhythmic, individualistic),
(Homorhythmic, integrated),
(Homorhythmic, self-aware),
(Homorhythmic, self-protective),
(Monophonic, autonomous),
(Monophonic, conformist),
(Monophonic, conscientious),
(Monophonic, impulsive),
(Monophonic, individualistic),
(Monophonic, integrated),
(Monophonic, self-aware),
(Monophonic, self-protective),
(Polyphonic, autonomous),
(Polyphonic, conformist),
(Polyphonic, conscientious),
(Polyphonic, impulsive),
(Polyphonic, individualistic),
(Polyphonic, integrated),
(Polyphonic, self-aware),
(Polyphonic, self-protective) }

Musical Textures

Source
Common Terms
Area
Music Theory
Mode
type
Depth
5
User
dane


vs.

ego development

Source
Jane Loevinger
Area
Psychology
Mode
step
Depth
8
User
scotty
5 types of Musical Textures

8 steps of ego development
Monophonic
Polyphonic
Homophonic
Homorhythmic
Heterophonic

impulsive
self-protective
conformist
self-aware
conscientious
individualistic
autonomous
integrated
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