A117555 Equal divisions of the octave of decreasing seven-limit Pepper ambiguity.

1, 2, 3, 4, 12, 22, 27, 31, 99, 171, 3125, 6691, 11664, 18355, 84814, 103169

Offset

0,2

Comments

We may define the n-limit Pepper ambiguity, for any odd number greater than one n, as the maximum of the ratios of the errors of the nearest approximation to the members of the n-limit tonality diamond to the next nearest. In the 7-limit, that means we look at the ratios of the errors for the nearest approximations to 3/2, 5/4, 5/3, 7/4, 7/5 and 7/6 to the next nearest.

Links

Table of n, a(n) for n=0..15.

Wikipedia, Tonality diamond

Crossrefs

Cf. A117554, A117556, A117557, A117558, A117559, A005664, A117536, A117538.

Sequence in context: A275067 A295620 A007499 * A243392 A239943 A295754

Adjacent sequences: A117552 A117553 A117554 * A117556 A117557 A117558

Keyword

more,nonn

Author

Gene Ward Smith, Mar 28 2006

Status

approved