Step-generated scale

A step-generated scale^{[idiosyncratic term]} is a scale, typically a moment of symmetry scale, whose generator is a single step in the scale. These scales are characterized by having the same step size throughout except for one step. Such scales are also called monolarge^{[idiosyncratic term]} or monosmall^{[idiosyncratic term]} scales, for MOS scales with one large step (1L ns) or one small step (nL 1s), respectively.

The phrase "step-generated scale with octave period", abbreviated as "OPSG scale" or "OSG scale", is attributed to the Wikispaces user K9assassin. The terms "monolarge" and "monosmall" were independently coined by Ganaram inukshuk, with the former term being used to refer to the entire family of 1L ns MOS scales.

5-tone scales

• Godzilla[5] - LLLLs (4L 1s) 24 EDO, 19 EDO

6-tone scales

• Machine[6] - LLLLLs (5L 1s) 11 EDO, 17EDO, 22EDO

7-tone scales

• Porcupine[7] - ssssssL (1L 6s) 15 EDO, 22 EDO, 37 EDO

8-tone scales

• Porcupine[8] - LLLLLLLs (7L 1s) 15 EDO, 22 EDO, 37 EDO
• Negri[8] - LLLLLLLs (7L 1s) 19 EDO

9-tone scales

• Negri[9] - LLLLLLLLs (8L 1s) 19 EDO