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, archetypical, empirical, scientific }
Symmetric Difference
$$A \ominus B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic, archetypical, empirical, scientific }
Difference
$$A - B =$$
{ archetypical, empirical, scientific }
Difference
$$B - A =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic }
Cartesian Product
$$A \times B =$$
{ (archetypical, Heterophonic),
(archetypical, Homophonic),
(archetypical, Homorhythmic),
(archetypical, Monophonic),
(archetypical, Polyphonic),
(empirical, Heterophonic),
(empirical, Homophonic),
(empirical, Homorhythmic),
(empirical, Monophonic),
(empirical, Polyphonic),
(scientific, Heterophonic),
(scientific, Homophonic),
(scientific, Homorhythmic),
(scientific, Monophonic),
(scientific, Polyphonic) }