1395edo: Difference between revisions
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The 1395 division divides the octave into 1395 steps of 0.8602 cents each. It is a strong higher-limit system, being a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak, peak integer, integral and gap edo]]. The patent val is the first one after 311 with a lower 37-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]], though it is only consistent through the 21 limit, due to 23 being all of 0.3 cents flat. A comma basis for the 19 limit is 2058/2057, 2401/2400, 4914/4913, 5929/5928, 10985/10982, 12636/12635 and 14875/14872. | The 1395 division divides the octave into 1395 steps of 0.8602 cents each. It is a strong higher-limit system, being a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak, peak integer, integral and gap edo]]. The patent val is the first one after 311 with a lower 37-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]], though it is only consistent through the 21 limit, due to 23 being all of 0.3 cents flat. A comma basis for the 19 limit is 2058/2057, 2401/2400, 4914/4913, 5929/5928, 10985/10982, 12636/12635 and 14875/14872. | ||
{{Primes in edo|1395|prec=3|columns=15}} | |||
Revision as of 02:48, 1 May 2021
The 1395 division divides the octave into 1395 steps of 0.8602 cents each. It is a strong higher-limit system, being a zeta peak, peak integer, integral and gap edo. The patent val is the first one after 311 with a lower 37-limit relative error, though it is only consistent through the 21 limit, due to 23 being all of 0.3 cents flat. A comma basis for the 19 limit is 2058/2057, 2401/2400, 4914/4913, 5929/5928, 10985/10982, 12636/12635 and 14875/14872.
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