Generator-offset property: Difference between revisions
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* Given a linear or cyclic word ''S'' with a step size X, define ''E''<sub>X</sub>(''S'') as the scale word resulting from deleting all instances of X from ''S''. | * Given a linear or cyclic word ''S'' with a step size X, define ''E''<sub>X</sub>(''S'') as the scale word resulting from deleting all instances of X from ''S''. | ||
* By a ''subword'', ''substring'', or ''slice'' of a word ''S'', denoted ''S''[''i'' : ''j''] (''j'' > ''i''), we mean ''S''[''i''] ''S''[''i'' + 1] ... ''S''[''j'' − 1]. | * By a ''subword'', ''substring'', or ''slice'' of a word ''S'', denoted ''S''[''i'' : ''j''] (''j'' > ''i''), we mean ''S''[''i''] ''S''[''i'' + 1] ... ''S''[''j'' − 1]. | ||
* Given a mos aX bY, a ''chunk'' of X's is a maximal substring made of X's, bounded by Y's | * Given a mos aX bY, a ''chunk'' of X's is a maximal (possibly length 0) substring made of X's, bounded by Y's. We do not include the boundary Y's. | ||
* ''Length'' is another term for a scale's size. | * ''Length'' is another term for a scale's size. | ||
* A ''projection'' of a ternary scale is the operation of equating two of its step sizes. | * A ''projection'' of a ternary scale is the operation of equating two of its step sizes. | ||