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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

Key-numbers 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 to sequences with 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)*(x-1)^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. A083026-A083028, 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)t-online.de), Jun 01 2003

STATUS

approved

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Last modified November 26 20:19 EST 2014. Contains 250119 sequences.