SN scale: Difference between revisions
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b) The existing smallest step at the top or bottom of every larger step: i.e. replacing '''a''' with '''sa''' for every occurrence of any step '''a''' such that '''a''' > '''s''' at the current stage, where '''s''' is the current smallest step. | b) The existing smallest step at the top or bottom of every larger step: i.e. replacing '''a''' with '''sa''' for every occurrence of any step '''a''' such that '''a''' > '''s''' at the current stage, where '''s''' is the current smallest step. | ||
Each iteration of a) | Each iteration of a) increases the rank of the scale by 1. | ||
An SN scale of rank 2, a 2-SN scale, is a [[MOS scale]]. Accordingly, SN scales are a generalization of MOS scales into arbitrary rank. [[ET]]<nowiki/>s can be considered to be 1-SN scales, which can be generated by applying a) once, introducing a step of a single degree of the ET. | An SN scale of rank 2, a 2-SN scale, is a [[MOS scale]]. Accordingly, SN scales are a generalization of MOS scales into arbitrary rank. [[ET]]<nowiki/>s can be considered to be 1-SN scales, which can be generated by applying a) once, introducing a step of a single degree of the ET. | ||