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| == Theory versus Math == | | == Theorem 9 (Ternary product words) == |
| An article about a music theory framework merits a ''guarded page''. Guarded pages should stay maximally true to the theory's ontology and terminology. This is because music theory by nature includes the value judgments of the theorist.
| | If a [[product word]] of two MOS words of the same length is ternary, then it is pairwise-MOS. |
| | | === Proof === |
| In contrast, mathematical constructions, even if originally developed in close association with that theory, may be described in a more idiosyncratic style (if necessarily, a more conventionally mathematical one), with the proviso that it must be (accessibly!) transparent as to what the construction is guaranteed to satisfy and what it is not.
| | Assume that the product of two MOS words ''v''('''a''', '''b''') and ''w''('''c''', '''d''') contains exactly three letters, say ('''a''', '''c'''), ('''a''', '''d'''), ('''b''', '''c'''). Equating ('''a''', '''c''') and ('''a''', '''d''') recovers ''v'', and equating ('''a''', '''c''') and ('''b''', '''c''') recovers ''w''. What does equating ('''a''', '''d''') and ('''b''', '''c''') do? |
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| With the theorist's permission, an associated concept may have a non-guarded page, but any sections explaining the significance to that theory itself should be guarded.
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| Example: [[aberrismic theory]] is a guarded page since it's a Theory page, while [[MOS substitution]] is not, since it's a Math page. What about [[blackdye]]?
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