MOS substitution: Difference between revisions

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== Formal definition ==

Suppose ''a'', ''b'', and ''c'' are positive integers. Suppose the noncircular word ''t'' is the brightest mode of the MOS scale ''a'''''x'''(''b'' + ''c'')'''X''' when treating '''x''' as larger than '''X''' and the noncircular word ''f'' is one rotation of the MOS scale ''b'''''y'''''c'''''z'''. Then the result of replacing the ''i''th occurrence of '''X''' in ''t'' replaced with the ''i''th letter of ''f'', treated as a circular word, is said to be a ''MOS substitution scale word'' with ''template MOS'' ''a'''''x'''(''b'' + ''c'')'''X''' and ''filling MOS'' ''b'''''y'''''c'''''z''', or in shorthand, a "subst ''a'''''x'''(''b'''''y'''''c'''''z''')".

Suppose ''a'', ''b'', and ''c'' are positive integers. Suppose the noncircular binary word ''t''('''x''', '''X''') is the brightest mode of the MOS scale ''a'''''x'''(''b'' + ''c'')'''X''' when treating '''x''' as larger than '''X''' and the noncircular binary word ''f''('''y''', '''z''') is one rotation of the MOS scale ''b'''''y'''''c'''''z'''. Then the result of replacing the ''i''th occurrence of '''X''' in ''t'' replaced with the ''i''th letter of ''f'', treated as a circular word, is said to be a ''MOS substitution scale word'' with ''template MOS'' ''a'''''x'''(''b'' + ''c'')'''X''' and ''filling MOS'' ''b'''''y'''''c'''''z''', or in shorthand, a "subst ''a'''''x'''(''b'''''y'''''c'''''z''')".

== Original derivation ==

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 == Formal definition ==
-Suppose ''a'', ''b'', and ''c'' are positive integers. Suppose the noncircular word ''t'' is the brightest mode of the MOS scale ''a'''''x'''(''b'' + ''c'')'''X''' when treating '''x''' as larger than '''X''' and the noncircular word ''f'' is one rotation of the MOS scale ''b'''''y'''''c'''''z'''. Then the result of replacing the ''i''th occurrence of '''X''' in ''t'' replaced with the ''i''th letter of ''f'', treated as a circular word, is said to be a ''MOS substitution scale word'' with ''template MOS'' ''a'''''x'''(''b'' + ''c'')'''X''' and ''filling MOS'' ''b'''''y'''''c'''''z''', or in shorthand, a "subst&nbsp;''a'''''x'''(''b'''''y'''''c'''''z''')".
+Suppose ''a'', ''b'', and ''c'' are positive integers. Suppose the noncircular binary word ''t''('''x''', '''X''') is the brightest mode of the MOS scale ''a'''''x'''(''b'' + ''c'')'''X''' when treating '''x''' as larger than '''X''' and the noncircular binary word ''f''('''y''', '''z''') is one rotation of the MOS scale ''b'''''y'''''c'''''z'''. Then the result of replacing the ''i''th occurrence of '''X''' in ''t'' replaced with the ''i''th letter of ''f'', treated as a circular word, is said to be a ''MOS substitution scale word'' with ''template MOS'' ''a'''''x'''(''b'' + ''c'')'''X''' and ''filling MOS'' ''b'''''y'''''c'''''z''', or in shorthand, a "subst&nbsp;''a'''''x'''(''b'''''y'''''c'''''z''')".
 == Original derivation ==