Interleaving: Difference between revisions
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The term ''flought'' was coined by Inthar by evolving the Old English past participle ''(ġe)flohten'' of the verb ''fleohtan'' 'to weave; to plait' into a hypothetical Modern English word. It is cognate to the Modern English words ''plait'' and ''plexus''. | The term ''flought'' was coined by Inthar by evolving the Old English past participle ''(ġe)flohten'' of the verb ''fleohtan'' 'to weave; to plait' into a hypothetical Modern English word. It is cognate to the Modern English words ''plait'' and ''plexus''. | ||
== Terminology == | == Terminology == | ||
Given an E-equivalent scale, scale s, offsets between 0 and min({step sizes in s}) (equivalently, between max{len(s)-1-steps in s} and E) are called ''small''. Small offsets are significant because it copies the underlying scale structure: if s | Given an E-equivalent scale, scale s, offsets between 0 and min({step sizes in s}) (equivalently, between max{len(s)-1-steps in s} and E) are called ''small''. Small offsets are significant because it copies the underlying scale structure: if s is a circular word w(a1, a2, ..., an) then Fl(s; δ) uses the same circular word but with δ followed by the difference between δ and every step size in w, namely w(δ b1, δ b2, ..., δ bn) where bi = ai - δ. | ||
== Properties == | == Properties == | ||
* A flought scale is not always CS, even when the strand is CS and the scale has an [[AGS]]. One such scale is Fl(Zarlino, 32/25) = 25/24 9/8 75/64 5/4 125/96 4/3 375/256 3/2 25/16 5/3 225/128 15/8 125/64 2/1 which has [[AGS]](32/25 125/96 32/25 5/4). | * A flought scale is not always CS, even when the strand is CS and the scale has an [[AGS]]. One such scale is Fl(Zarlino, 32/25) = 25/24 9/8 75/64 5/4 125/96 4/3 375/256 3/2 25/16 5/3 225/128 15/8 125/64 2/1 which has [[AGS]](32/25 125/96 32/25 5/4). | ||