User:Inthar/MV3: Difference between revisions
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A gen chain g1...g1g1' [assuming this word is not multiperiod] detempers to G1i(1)G1i(2)...G1i(n-1)G13, where i(t) is in {1,2} and n = len(S). This word must be MV3, since otherwise the original scale wouldn't be MV3. Similarly, g2...g2g2' detempers to G2j(1)...G2j(n-1)G23, and g3...g3g3' detempers to G3k(1)...G3k(n-1)G33.--> | A gen chain g1...g1g1' [assuming this word is not multiperiod] detempers to G1i(1)G1i(2)...G1i(n-1)G13, where i(t) is in {1,2} and n = len(S). This word must be MV3, since otherwise the original scale wouldn't be MV3. Similarly, g2...g2g2' detempers to G2j(1)...G2j(n-1)G23, and g3...g3g3' detempers to G3k(1)...G3k(n-1)G33.--> | ||
=== AG implies "ax by bz" === | ==== AG implies "ax by bz" ==== | ||
'''Assuming the alternating generator property''', we have two chains of generator g0 (going right). The two cases are: | '''Assuming the alternating generator property''', we have two chains of generator g0 (going right). The two cases are: | ||
O-O-...-O (m notes) | O-O-...-O (m notes) | ||