1236edo: Difference between revisions

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The 1236 division of the octave divides it into 1236 equal parts of 0.9709 cents each. It is a  [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. It is a strong 17-limit system and uniquely consistent through the 17-limit, with a 17-limit [[comma-basis]] of 2601/2600, 5832/5831, 9801/9800, 10648/10647, 14875/14872 and 105644/105625. It is divisible by 12, which is also the sum of its digits (1 + 2 + 3 + 6 = 12 * 103 = 1236).
The 1236 division of the octave divides it into 1236 equal parts of 0.9709 cents each. It is a  [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. It is a strong 17-limit system and uniquely consistent through the 17-limit, with a 17-limit [[comma basis]] of 2601/2600, 5832/5831, 9801/9800, 10648/10647, 14875/14872 and 105644/105625. It is divisible by 12, which is also the sum of its digits (1 + 2 + 3 + 6 = 12 * 103 = 1236).

Revision as of 20:17, 12 November 2021

The 1236 division of the octave divides it into 1236 equal parts of 0.9709 cents each. It is a zeta peak edo, though not zeta integral nor zeta gap. It is a strong 17-limit system and uniquely consistent through the 17-limit, with a 17-limit comma basis of 2601/2600, 5832/5831, 9801/9800, 10648/10647, 14875/14872 and 105644/105625. It is divisible by 12, which is also the sum of its digits (1 + 2 + 3 + 6 = 12 * 103 = 1236).