Union
$$A \cup B =$$
{ clarity, completion, creative, entrance, initiative, interval, motion, nominal, ordinal, ratio, receptive, tranquil }
Symmetric Difference
$$A \ominus B =$$
{ clarity, completion, creative, entrance, initiative, interval, motion, nominal, ordinal, ratio, receptive, tranquil }
Difference
$$B - A =$$
{ clarity, completion, creative, entrance, initiative, motion, receptive, tranquil }
Cartesian Product
$$A \times B =$$
{ (interval, clarity),
(interval, completion),
(interval, creative),
(interval, entrance),
(interval, initiative),
(interval, motion),
(interval, receptive),
(interval, tranquil),
(nominal, clarity),
(nominal, completion),
(nominal, creative),
(nominal, entrance),
(nominal, initiative),
(nominal, motion),
(nominal, receptive),
(nominal, tranquil),
(ordinal, clarity),
(ordinal, completion),
(ordinal, creative),
(ordinal, entrance),
(ordinal, initiative),
(ordinal, motion),
(ordinal, receptive),
(ordinal, tranquil),
(ratio, clarity),
(ratio, completion),
(ratio, creative),
(ratio, entrance),
(ratio, initiative),
(ratio, motion),
(ratio, receptive),
(ratio, tranquil) }
Level of measurement