Delta-rational chord: Difference between revisions

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 === Facts ===
 ==== Finding a tuning of a MOS scale with an exact DR chord ====
-Let ''a'', ''b'' be positive integers and suppose gcd(''a'', ''b'') = 1. Let ''E'' > 1 be the frequency ratio of the equave. Consider a MOS ''a'''''L'''''b'''''s'''{{angbr|''E''}} with generator range <math>I \subseteq (1, \sqrt{E})</math> (in the linear frequency domain), and consider a triple ('''0''', '''u''', '''v''') (representing a triad in the MOS), '''0''' < '''u''' < '''v'''. Let '''p''', '''g''' be a basis formally representing the MOS scale's period and generator. Write
+Let ''a'', ''b'' be positive integers and suppose gcd(''a'', ''b'') = 1. Let ''E'' > 1 be the frequency ratio of the equave. Consider a MOS ''a'''''L'''''b'''''s'''{{angbr|''E''}} with generator range <math>I \subseteq (1, \sqrt{E})</math> (in the linear frequency domain), and consider a triple ('''0''', '''u''', '''v''') of notes from the root of a given triad in the MOS, '''0''' < '''u''' < '''v'''. Let '''p''', '''g''' be a basis formally representing the MOS scale's period and generator. Write
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