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A117554 Equal divisions of the octave of decreasing 5-limit Pepper ambiguity. 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. +0
5
1, 3, 12, 19, 34, 53, 118, 441, 612, 730, 1171, 1783, 2513, 4296, 25164, 52841, 73709, 78005 (list; graph; listen)
OFFSET

0,2

COMMENT

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

Wikipedia, Tonality diamond

CROSSREFS

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

Sequence in context: A120623 A043877 A134965 this_sequence A049714 A063244 A063102

Adjacent sequences: A117551 A117552 A117553 this_sequence A117555 A117556 A117557

KEYWORD

more,nonn

AUTHOR

Gene Ward Smith (genewardsmith(AT)gmail.com), Mar 28 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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