Step pattern product: Difference between revisions

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A '''word''' is a sequence of letters from some finite alphabet. Words can be used to represent scales; for example "aabaaab" represents the ([[Meantone|meantone]]) major scale if 'a' represents a whole step and 'b' a half step.
A [[word]] is a sequence of letters from some finite alphabet. Words can be used to represent scales, or families of scales; for example "aabaaab" represents the major scale if 'a' represents a whole step and 'b' a half step.


Given two words of the same length ("factors"), their '''product word''' is the word whose alphabet consists of ordered pairs of the alphabets of its factor words, and whose ''n''th letter is the ordered pair of the ''n''th letters of its factors.
Given two words of the same length ("factors"), their '''product word''' is the word whose alphabet consists of ordered pairs of the alphabets of its factor words, and whose ''n''th letter is the ordered pair of the ''n''th letters of its factors.