A117556 - OEIS

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A117556

Equal divisions of the octave of decreasing nine-limit Pepper ambiguity.

1, 2, 4, 5, 12, 19, 31, 41, 99, 171, 3125, 11664, 18355, 84814, 103169

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

OFFSET

0,2

COMMENTS

We may define the n-limit Pepper ambiguity, for any odd number n greater than one, 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 9-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, 7/6, 9/8, 9/7 and 9/5 to the next nearest.

LINKS

Table of n, a(n) for n=0..14.

Wikipedia, Tonality diamond

CROSSREFS

Cf. A117554, A117555, A117557, A117558, A117559, A005664, A117536, A117538.

Sequence in context: A090847 A318780 A056984 * A091071 A353850 A050599

Adjacent sequences: A117553 A117554 A117555 * A117557 A117558 A117559

KEYWORD

more,nonn

AUTHOR

Gene Ward Smith, Mar 28 2006

STATUS

approved