Rothenberg propriety

Rothenberg propriety is a concept in the theory of musical scales.

“Rothenberg calls a scale 'strictly proper' if it possesses a generic ordering, 'proper' if it admits ambiguities but no contradictions, and 'improper' if it admits contradictions.”

Examples

The 7-step diatonic scale of 12edo (2-2-1-2-2-2-1) is "proper" but not strictly proper because of the ambiguities of d5 (1+2+2+1) and A4 (2+2+2) in three-step and five-step intervals.

The 7-step diatonic scale of 19edo (3-3-2-3-3-3-2) is strictly proper.

See also

• Wikipedia: Rothenberg propriety
• MOS scale