Balanced word: Difference between revisions
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{{distinguish|perfect balance}} | {{distinguish|perfect balance}} | ||
A(n abstract) scale is '''balanced''' if it satisfies a certain (quite strong) restriction on how much the intervals in within any of the scale's interval classes can differ. | A(n abstract) scale is '''balanced''' if it satisfies a certain (quite strong) restriction on how much the intervals in within any of the scale's interval classes can differ; for any step size, balancedness stipulates that no two ''k''-steps can differ too much in how many times the step size occurs in them. | ||
Mathematically, let ''a'' be a letter in a [[word]] or [[necklace]] ''s''. Define | Mathematically, let ''a'' be a letter in a [[word]] or [[necklace]] ''s''. Define | ||