

A083120


Numbers that are congruent to {0, 2, 4, 5, 7, 9, 10} mod 12.


9



0, 2, 4, 5, 7, 9, 10, 12, 14, 16, 17, 19, 21, 22, 24, 26, 28, 29, 31, 33, 34, 36, 38, 40, 41, 43, 45, 46, 48, 50, 52, 53, 55, 57, 58, 60, 62, 64, 65, 67, 69, 70, 72, 74, 76, 77, 79, 81, 82, 84, 86, 88, 89, 91, 93, 94, 96, 98, 100, 101, 103, 105, 106, 108, 110
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

Keynumbers of the pitches of a Mixolydian mode scale on a standard chromatic keyboard, with root = 0. A Mixolydian mode scale can, for example, be played on consecutive white keys of a standard keyboard, starting on the root tone G.


LINKS

Table of n, a(n) for n=1..65.
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,1,1).


FORMULA

G.f. x^2*(2+2*x+x^2+2*x^3+2*x^4+x^5+2*x^6) / ( (x^6+x^5+x^4+x^3+x^2+x+1)*(x1)^2 ).  R. J. Mathar, Oct 08 2011


MATHEMATICA

Select[Range[0, 120], MemberQ[{0, 2, 4, 5, 7, 9, 10}, Mod[#, 12]]&] (* Harvey P. Dale, Feb 20 2011 *)


CROSSREFS

Cf. A083026A083028, A083030, A083031, A083032, A083033, A083034, A082977, A083089
Sequence in context: A121347 A106829 A190228 * A001614 A244222 A050731
Adjacent sequences: A083117 A083118 A083119 * A083121 A083122 A083123


KEYWORD

nonn


AUTHOR

James Ingram (j.ingram(AT)tonline.de), Jun 01 2003


STATUS

approved



