Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #7 Oct 02 2013 16:16:05
%S 1,3,9,27,41,58,87,111,149,217,282,388,1323,1600,2554,17461
%N Equal divisions of the octave with progressively increasing consistency limits and distinct approximations for all the ratios in the tonality diamond of that limit.
%C Since the 1-division is distinct and consistent in the 1-limit, the sequence starts there. From a purely musical point of view one might prefer to begin the sequence at 3. - _Gene Ward Smith_, Mar 29 2006
%e 9-EDO is consistent and distinct through the 5 limit because 6/5, 5/4, 4/3, 3/2, 8/5 and 5/3 map to 2, 3, 4, 5, 6 and 7 steps respectively and all the compositions of those intervals are consistent.
%Y Cf. A116474, A117577, A117578.
%K nonn
%O 1,2
%A _Keenan Pepper_, Mar 17 2006
%E More terms from _Gene Ward Smith_, Mar 29 2006