Omnitetrachordality: Difference between revisions
Clarify that this doesn't require four-note segments |
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All omnitetrachordal scales are of the form ABA, where A is any word spanning an approximation of 4/3 and B is any word spanning an approximation of 9/8. | All omnitetrachordal scales are of the form ABA, where A is any word spanning an approximation of 4/3 and B is any word spanning an approximation of 9/8. | ||
{{Theorem|contents=All strongly omnitetrachordal scales are of the form ABABA, where A is any [[word]] spanning an approximation of 9/8 and B is any word spanning an approximation of 32/27.}} | {{Theorem|contents=All strongly omnitetrachordal scales are of the form ABABA, where A is any [[word]] (an abstract scale pattern, without regard to relative step sizes) spanning an approximation of 9/8 and B is any word spanning an approximation of 32/27.}} | ||
{{Proof|contents=An OTC scale comprises two iterations of one word - the tetrachord, and one iteration of another - the disjunction. | {{Proof|contents=An OTC scale comprises two iterations of one word - the tetrachord, and one iteration of another - the disjunction. | ||