31edo: Difference between revisions
Reword “relationship to 12” section based on what I learned from TallKite’s user page, to hopefully make this section less potentially misleading and controversial, while preserving the heart of what it’s supposed to be about. Also moved the second chart to the notation section because it seems to belong there rather than where it was. |
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== Relationship to 12edo == | == Relationship to 12edo == | ||
31edo’s [[circle of fifths|circle of 31 fifths]] can be bent into a [[spiral chart|12-spoked spiral of fifths]] | 31edo’s [[circle of fifths|circle of 31 fifths]] can be bent into a [[spiral chart|12-spoked "spiral of fifths"]]. This is possible because 18\31 is on the 7\12 kite in the [[scale tree]]. Stated another way, it is possible because the absolute value of 31edo’s [[sharpness#dodeca-sharpness|dodeca-sharpness]] (edosteps per [[Pythagorean comma]]) is 1. | ||
This "spiral of fifths" can be a useful construct for introducing 31edo to musicians unfamiliar with microtonal music. It may help composers and musicians to make visual sense of the notation, and to understand what size of a jump is likely to land them where compared to 12edo. | This "spiral of fifths" can be a useful construct for introducing 31edo to musicians unfamiliar with microtonal music. It may help composers and musicians to make visual sense of the notation, and to understand what size of a jump is likely to land them where compared to 12edo. | ||