Interleaving: Difference between revisions
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| A scale is an '''interleaving''' if it is (1) made of multiple copies (called ''strands'') of a smaller scale and (2) ''any two copies'' of the smaller scale are interleaved so that any note of the first copy falls strictly between two notes of the other copy.
| | #redirect [[Cross-set#Interleaving]] |
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| An interleaving is defined by the choice of strand scale and the choice of the ''polyoffset'': the offset chord that copies of the strand are placed on. For example, the ternary scale blackdye has strand pyth[5] and polyoffset 9:10 or 5:9. {{adv|A scale that is a union of multiple copies of a smaller scale ''s'' is an interleaving if and only if no interval of the polyoffset (measured from a given root) falls between the smallest ''k''-step of ''s'' and the largest ''k''-step of ''s'' (inclusive) for any ''k'', 1 ≤ ''k'' < size of ''s''.}}
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| [[Category:Scale constructions]]
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Latest revision as of 23:35, 22 December 2025
