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 Wikispace 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.

Properties of OSG Scales

OSG Scales are nearly equal but with one step size being varying in order to complete the octave.

Five Tone OSG

Godzilla[5] - L L L L s 24 EDO, 19 EDO

Six Tone OSG

Machine[6] - L L L L L s 11 EDO, 17EDO, 22EDO

Seven Tone OSG

Porcupine[7] - s s s s s s L 15 EDO, 22 EDO, 37 EDO

Eight Tone OSG

Porcupine[8] - L L L L L L L s 15 EDO, 22 EDO, 37 EDO

Negri[8] - L L L L L L L s 19 EDO

Nine Tone OSG

Negri[9] - L L L L L L L L s 19 EDO