6079edo: Difference between revisions
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The 6079 division divides the octave into 6079 equal parts of 0.1974 cents each. It is a very strong 11 and 13 limit system, with a lower 11 and 13 limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller division. It is also a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]] and distinctly consistent through the 29 limit. A basis for the 11-limit commas is {3294225/3294172, 14348907/14348180, 35156250/35153041, 100663296/100656875}, and for the 13-limit commas, {123201/123200, 1574640/1574573, 1664000/1663893, 1990656/1990625, 3294225/3294172}. | The '''6079 division''' divides the octave into 6079 equal parts of 0.1974 cents each. It is a very strong 11 and 13 limit system, with a lower 11 and 13 limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any smaller division. It is also a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]] and distinctly consistent through the 29 limit. A basis for the 11-limit commas is {3294225/3294172, 14348907/14348180, 35156250/35153041, 100663296/100656875}, and for the 13-limit commas, {123201/123200, 1574640/1574573, 1664000/1663893, 1990656/1990625, 3294225/3294172}. | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | |||
Revision as of 01:34, 4 July 2022
The 6079 division divides the octave into 6079 equal parts of 0.1974 cents each. It is a very strong 11 and 13 limit system, with a lower 11 and 13 limit relative error than any smaller division. It is also a zeta peak edo and distinctly consistent through the 29 limit. A basis for the 11-limit commas is {3294225/3294172, 14348907/14348180, 35156250/35153041, 100663296/100656875}, and for the 13-limit commas, {123201/123200, 1574640/1574573, 1664000/1663893, 1990656/1990625, 3294225/3294172}.