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 A132361 A ten-out-of-twelve fractal substitution sequence based on 7th like chords: 1->{1,5,9,12}->{A,Db,F,Ab}, 3->{3,7,11,2}->{B,E, G,Bb}, 4->{4,8,12,3}->{C,Eb,Ab,B}. 0
 11, 7, 3, 2, 12, 8, 4, 3, 3, 4, 12, 8, 8, 3, 4, 12, 12, 9, 5, 1, 9, 1, 5, 12, 3, 4, 12, 8, 1, 5, 12, 9, 1, 5, 12, 9, 12, 9, 5, 1, 9, 1, 5, 12, 3, 4, 12, 8, 3, 4, 12, 8, 1, 5, 12, 9, 9, 1, 5, 12, 12, 9, 5, 1, 2, 11, 7, 3, 2, 2, 3, 11, 7, 7, 2, 3, 11, 7, 2, 3, 11, 2, 11, 7, 3, 2, 2, 3, 11, 7, 2, 3, 11, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence uses nine basic tones with {2}->Bb as a terminator. If the triad chords are used only it has less of a blue sound and only has nine tones. It also goes from 4!=24 permutations possible to 3!=6: that significantly lowers the possible out comes for automated output. Substitutions with the permutations increase the variability of this type of sequence. LINKS FORMULA Substitution function that skip {6,10} and use {2} as a terminator: s[1] = {12, 9, 5, 1}; s[2] = {2}; s[3] = {11, 7, 3, 2}; s[4] = {12, 8, 4, 3}; s[5] = Permutations[s[1]][[12]]; s[6] = {6}; s[7] = Permutations[s[3]][[12]]; s[8] = Permutations[s[4]][[12]]; s[9] = Permutations[s[1]][[23]]; s[10] = {10}; s[11] = Permutations[s[3]][[23]]; s[12] = Permutations[s[4]][[23]]; Permutations {12,23} are used for spread, but any two combinations of 24:Binomial[24,2]=46 can be used if the first substitutions are the reference state. MATHEMATICA Clear[s] s[1] = {12, 9, 5, 1}; s[2] = {2}; s[3] = {11, 7, 3, 2}; s[4] = {12, 8, 4, 3}; s[5] = Permutations[s[1]][[12]]; s[6] = {6}; s[7] = Permutations[s[3]][[12]]; s[8] = Permutations[s[4]][[12]]; s[9] = Permutations[s[1]][[23]]; s[10] = {10}; s[11] = Permutations[s[3]][[23]]; s[12] = Permutations[s[4]][[23]]; t[a_] := Flatten[s /@ a]; p[0] = {1, 3, 4}; p[1] = t[p[0]]; p[n_] := t[p[n - 1]]; p[3] CROSSREFS Cf. A132150, A132160. Sequence in context: A005603 A109828 A048981 * A236546 A155914 A087896 Adjacent sequences:  A132358 A132359 A132360 * A132362 A132363 A132364 KEYWORD nonn,uned AUTHOR Roger L. Bagula, Nov 08 2007, Nov 09 2007 STATUS approved

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