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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''. | ||
== | == Condition for floughtenability == | ||
Let: | |||
* ''s'' be a scale with equave ''P'', | |||
* <math>\mathcal{D}_k(s)</math> be the set of all ''k''-step intervals of ''s'', and | |||
* Δ be a chord such that every interval of Δ falls within (0, ''P''). | |||
Then ''s'' can be floughtened with the polyoffset chord Δ if and only if no nonzero interval in Δ falls within | |||
<math>\bigcup_{i=0}^{\mathrm{len}(s) - 1} [\min \mathcal{D}_k(s), \max \mathcal{D}_k(s)].</math> | |||
== Some flought scales == | == Some flought scales == | ||
* strand 5:6:7:8:9:10, offset 10:11 | * strand 5:6:7:8:9:10, offset 10:11 | ||