CLUSTER OF RINGS AT CENTER EQUALS EXPANSION
(Cluster of rings at rim equals contraction).

This drawing shows how the rings from diminishing triangles fall in the spaces between one another Since the hypotenuse can be assumed to extend faster than the side, the rate of speed would appear to be greater in the divisions along the hypotenuse.
Therefore each ring would revolve at a different rate of speed. Also one side would revolve in a counter-clockwise direction to the other side. When one positions the actual ratios of the notes, by doubling on one side and tripling on the other side, the angles appear to be in conjunction with the trianglular divisions until the limit at 256/243 where the angles of the slant becomes greater than a natural trianglular divisions.
Perhaps this is another reason for the limit to occur...


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Web Pages Updated by: Kristi Borst. Ad·Mark·Com