DKW theory: Difference between revisions
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== DKW theory in the 5-limit == | == DKW theory in the 5-limit == | ||
By far the most important three-prime subgroup is the [[5-limit]], i.e. the 2.3.5 subgroup. It turns out that the 2.3.5 tonality diamond's ordering is type ''N-VI'', and that its signature is '''C''' = [[9/8]] : '''B'' = [[16/15]] : '''A''' = [[25/24]]. | By far the most important three-prime subgroup is the [[5-limit]], i.e. the 2.3.5 subgroup. It turns out that the 2.3.5 tonality diamond's ordering is type ''N-VI'', and that its signature is '''C''' = [[9/8]] : '''B''' = [[16/15]] : '''A''' = [[25/24]]. | ||
Below are commas with simple expressions in terms of these intervals, with "complexity" measured as the sum of the absolute values of powers of '''A''', '''B''', and '''C'''. | Below are commas with simple expressions in terms of these intervals, with "complexity" measured as the sum of the absolute values of powers of '''A''', '''B''', and '''C'''. | ||