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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)