A117554 Equal divisions of the octave of decreasing 5-limit Pepper ambiguity.

1, 3, 12, 19, 34, 53, 118, 441, 612, 730, 1171, 1783, 2513, 4296, 25164, 52841, 73709, 78005

Offset

0,2

Comments

We may define the p-limit Pepper ambiguity, for any odd prime p, as the maximum of the ratios of the errors of the nearest approximation to the members of the p-limit tonality diamond to the next nearest. In the 5-limit, that means we look at the ratios of the errors for the nearest approximations to 3/2, 5/4 and 5/3 to the next nearest.

The 3-limit version of this is A005664, so in some sense this is a generalization of that. However it is also very closely related to A054540.

Links

Table of n, a(n) for n=0..17.

Wikipedia, Tonality diamond

Crossrefs

Cf. A117555, A117556, A117557, A117558, A117559, A005664, A054540.

Sequence in context: A043877 A217697 A134965 * A049714 A363639 A199129

Adjacent sequences: A117551 A117552 A117553 * A117555 A117556 A117557

Keyword

more,nonn

Author

Gene Ward Smith, Mar 28 2006

Status

approved