Spiral chart: Difference between revisions
Almost all of this text was written by TallKite, credit goes to him, I just added links, categories, headings and such. |
m →Spirals of twelve fifths: make circle of fifths linked earlier in the page |
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The spiral charts for [[31edo]], [[41edo]] and [[53edo]] relate each of those edos to [[12edo]]. Each chart has 12 '''wheel-spokes'''. | The spiral charts for [[31edo]], [[41edo]] and [[53edo]] relate each of those edos to [[12edo]]. Each chart has 12 '''wheel-spokes'''. | ||
The larger edo's spiral of fifths is not really a spiral, it's a larger circle that you break into a chain and make a bunch of smaller 12-note loops with. Then add a few duplicates at each end of the chain, so that you can reconnect the ends mentally and get the original larger circle. | The larger edo's spiral of fifths is not really a spiral, it's a larger [[circle of fifths]] that you break into a chain and make a bunch of smaller 12-note loops with. Then add a few duplicates at each end of the chain, so that you can reconnect the ends mentally and get the original larger circle. | ||
A 12-spoke spiral chart of fifths is only possible if the [[sharpness#dodeca-sharpness|dodeca-sharpness]] (edosteps per [[Pythagorean comma]]) of the larger edo is 1 or -1. | A 12-spoke spiral chart of fifths is only possible if the [[sharpness#dodeca-sharpness|dodeca-sharpness]] (edosteps per [[Pythagorean comma]]) of the larger edo is 1 or -1. | ||