Step pattern product: Difference between revisions

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* Take two scale patterns, for example AABAAAB and BBABBAB.

* Pair up the entries in the scale patterns: (A,B)(A,B)(B,A)(A,B)(A,B)(A,A)(B,B)

* Assign each pair its own new symbol: ~~AABAABC~~.

* Assign each pair its own new symbol: AABAACD.

This construction has an obvious generalization to the product of three or more scales.

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In general mathematical theory (and more advanced pages on the wiki) , what this page refers to as "scale patterns" are called "words", and the "scale pattern product" is a "product word".

It does not matter what symbols are used for the two inputs (which may use different sets of symbols) or the output (in fact, the output is usually written with a different set of symbols to the two inputs~~, but this obscures the relation between the operation and scale patterns~~).

It does not matter what symbols are used for the two inputs (which may use different sets of symbols) or the output (in fact, the output is usually written with a different set of symbols to the two inputs).

== Examples ==

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 * Take two scale patterns, for example AABAAAB and BBABBAB.
 * Pair up the entries in the scale patterns: (A,B)(A,B)(B,A)(A,B)(A,B)(A,A)(B,B)
-* Assign each pair its own new symbol: AABAABC.
+* Assign each pair its own new symbol: AABAACD.
 This construction has an obvious generalization to the product of three or more scales.
@@ Line 17: / Line 17: @@
 In general mathematical theory (and more advanced pages on the wiki) , what this page refers to as "scale patterns" are called "words", and the "scale pattern product" is a "product word".
-It does not matter what symbols are used for the two inputs (which may use different sets of symbols) or the output (in fact, the output is usually written with a different set of symbols to the two inputs, but this obscures the relation between the operation and scale patterns).
+It does not matter what symbols are used for the two inputs (which may use different sets of symbols) or the output (in fact, the output is usually written with a different set of symbols to the two inputs).
 == Examples ==