Generator-offset property: Difference between revisions
Tags: Mobile edit Mobile web edit |
Tags: Mobile edit Mobile web edit |
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== Conjectures == | == Conjectures == | ||
=== Conjecture 2 (falsified) === | === Conjecture 2 (falsified) === | ||
An odd generator-offset scale is | An odd generator-offset scale is SGA. | ||
==== Counterexamples ==== | ==== Counterexamples ==== | ||
This is false for the 5-note scale 0 250 300 700 750 1200 with alternants 700 and 50: the 1-steps form the chain 250 50 400 50 450 and the 2-steps form the chain 300 450 700 250 500. | This is false for the 5-note scale 0 250 300 700 750 1200 with alternants 700 and 50: the 1-steps form the chain 250 50 400 50 450 and the 2-steps form the chain 300 450 700 250 500. | ||