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Search: id:A131803
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| A131803 |
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A binary Major Minor chord substitution: Chord progression start vector {4, 11, 9, 2, 5, 7} Cmajor, Gminor,Fminor,BbMajor,Dbminor, Ebminor. |
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+0
1
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| 4, 8, 11, 3, 8, 12, 3, 7, 11, 4, 6, 9, 3, 6, 10, 1, 8, 12, 3, 7, 12, 4, 7, 11, 3, 6, 10, 1, 7, 10, 2, 5, 11, 4, 6, 9, 4, 8, 11, 3, 6, 10, 1, 5, 9, 12, 4, 7, 3, 6, 10, 1, 6, 10, 1, 5, 10, 2, 5, 9, 1, 4, 8, 11, 11, 4, 6, 9, 4, 8, 11, 3, 6, 10, 1, 5, 9, 12, 4, 7, 4, 8, 11, 3, 8, 12, 3, 7, 11, 4, 6, 9, 3, 6
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This substitution sequence is very like a Jazz chord progression in major (even) and minor (odd) chords. I call it a melt down.
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FORMULA
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Start vector->{4, 11, 9, 2, 5, 7} 1->{1, 4, 8, 11}, 2->{2, 6, 9, 1}, 3->{3, 6, 10, 1}, 4->{4, 8, 11, 3}, 5->{5, 8, 12, 3}, 6->{6, 10, 1, 5}, 7->{7, 10, 2, 5}, 8->{8, 12, 3, 7}, 9->{9, 12, 4, 7}, 10->{10, 2, 5, 9}, 11->{11, 4, 6, 9}, 12->{12, 4, 7, 11}
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MATHEMATICA
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s0[i_] := {i, If[i + 4 > 12, i - 8, i + 4], If[i + 7 > 12, i - 5, i + 7], If[i + 11 > 12, i - 1, i + 11]}; s1[i_] := {i, If[i + 3 > 12, i - 7, i + 3], If[i + 7 > 12, i - 5, i + 7], If[i + 10 > 12, i - 2, i + 10]}; s[i_] := If[Mod[i, 2] == 0, s0[i], s1[i]] t[a_] := Flatten[s /@ a]; p[0] = {4, 11, 9, 2, 5, 7}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; p[3]
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CROSSREFS
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Cf. A133269, A133270.
Sequence in context: A037004 A136861 A109445 this_sequence A133270 A131517 A076689
Adjacent sequences: A131800 A131801 A131802 this_sequence A131804 A131805 A131806
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 23 2007
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