

A132160


Ten tone fractal jazz substitution with {5,10} left out and spacing of either 3 or 4 notes( major or minor ).


1



1, 4, 6, 9, 4, 7, 8, 1, 12, 6, 11, 2, 3, 9, 6, 12, 1, 4, 7, 8, 1, 12, 7, 11, 3, 4, 8, 4, 11, 12, 1, 4, 6, 9, 12, 3, 4, 8, 9, 6, 11, 2, 3, 11, 7, 8, 2, 3, 2, 6, 11, 3, 6, 7, 11, 12, 9, 6, 12, 1, 6, 11, 2, 3, 12, 3, 4, 8, 9, 1, 4, 6, 9, 4, 7, 8, 1, 12, 7, 11, 3, 4, 8, 4, 11, 12, 1, 4, 6, 9, 12, 3, 4, 8, 9
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OFFSET

1,2


COMMENTS

This substitution is an alternative to the algorithmic function inspired by Oscar Peterson's piano Jazz and in practice can fugue with it ( I've done fugues several times with it).


LINKS

Table of n, a(n) for n=1..95.


FORMULA

1> {1, 4, 6, 9}; 2> {2, 6, 11}; 3> {3, 6, 7, 11, 12}; 4> {4, 7, 8, 1, 12}; 5> {5}; ( since the substitution starts at {1,4,6,9} and none of them contain 5 or 10, those notes are left out) 6>{6, 11, 2, 3}; 7> {7, 11, 3, 4}; 8> {8, 4, 11, 12}; 9> {9, 6, 12, 1}; 10> {10}; 11> {11, 7, 8, 2, 3}; 12> {12, 3, 4, 8, 9};


MATHEMATICA

Clear[s] s[1] = {1, 4, 6, 9}; s[2] = {2, 6, 11}; s[3] = {3, 6, 7, 11, 12}; s[4] = {4, 7, 8, 1, 12}; s[5] = {5}; s[6] = {6, 11, 2, 3}; s[7] = {7, 11, 3, 4}; s[8] = {8, 4, 11, 12}; s[9] = {9, 6, 12, 1}; s[10] = {10}; s[11] = {11, 7, 8, 2, 3}; s[12] = {12, 3, 4, 8, 9}; t[a_] := Flatten[s /@ a]; p[0] = s[1]; p[1] = t[p[0]]; p[n_] := t[p[n  1]]; p[3]


CROSSREFS

Sequence in context: A076418 A059910 A019837 * A021217 A103550 A321092
Adjacent sequences: A132157 A132158 A132159 * A132161 A132162 A132163


KEYWORD

nonn,uned


AUTHOR

Roger L. Bagula, Nov 02 2007


STATUS

approved



