Rank 3 scale: Difference between revisions

Revision as of 01:43, 10 May 2021 view source Lhearne (talk \| contribs) autopatrolled, emailconfirmed 1,636 edits m Added Mike's definition of a rank-3 scale (reworded slightly) and changed subheadings to headings, getting rid of heading 'rank 3 scales' Tag: Visual edit ← Older edit		Revision as of 01:44, 10 May 2021 view source Lhearne (talk \| contribs) autopatrolled, emailconfirmed 1,636 edits mNo edit summary Tag: Visual edit Newer edit →
Line 1:		Line 1:
	A rank-''n'' scale a scale whose intervals (in cents, or any other logarithmic [[interval size measure]]) generate a rank-3 group. Alternatively, a rank-3 scale is a finite set of notes of a rank-''n'' tuning, which is an infinite set of notes that can be generated by ''n'' generators, one of which is taken to be the period, at which any scale of the tuning repeats.		A rank-''n'' scale a scale whose intervals (in cents, or any other logarithmic [[interval size measure]]) generate a rank-''n'' group. Alternatively, a rank-''n'' scale is a finite set of notes of a rank-''n'' tuning, which is an infinite set of notes that can be generated by ''n'' generators, one of which is taken to be the period, at which any scale of the tuning repeats.

	Rank-1 tunings and scales are [[ET]]<nowiki/>s.		Rank-1 tunings and scales are [[ET]]<nowiki/>s.