1012edo: Difference between revisions

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== Theory ==

It is a strong 13-limit system, distinctly consistent through the 15 limit. It is a [[~~The_Riemann_Zeta_Function_and_Tuning~~#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. A basis for the 13-limit commas is 2401/2400, 4096/4095, 6656/6655, 9801/9800 and {{monzo|2 6 -1 2 0 4}}.

1012edo is a strong 13-limit system, distinctly [[consistent]] through the 15-odd-limit. It is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. A basis for the 13-limit commas is [[2401/2400]], [[4096/4095]], [[6656/6655]], [[9801/9800]] and {{monzo| 2 6 -1 2 0 4 }}.

1012 has divisors {{EDOs|1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506}}.

1012 has divisors {{EDOs| 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506 }}.

In addition to containing 22edo and 23edo, it contains a [[22L 1s~~|quartismoid~~]] scale produced by generator of 45\1012 associated with [[33/32]], and is associated with a 45 & 1012 temperament, making it [[concoctic]]. A comma basis for the 13-limit is 2401/2400, 6656/6655, 123201/123200, {{monzo|18 15 -12 -1 0 -3}}.

In addition to containing 22edo and 23edo, it contains a [[22L 1s]] scale produced by generator of 45\1012 associated with [[33/32]], and is associated with the 45 & 1012 temperament, making it [[concoctic]]. A comma basis for the 13-limit is 2401/2400, 6656/6655, 123201/123200, {{monzo| 18 15 -12 -1 0 -3 }}.

[[Category:Equal divisions of the octave|####]]

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 == Theory ==
-It is a strong 13-limit system, distinctly consistent through the 15 limit. It is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. A basis for the 13-limit commas is 2401/2400, 4096/4095, 6656/6655, 9801/9800 and {{monzo|2 6 -1 2 0 4}}.
+edo is a strong 13-limit system, distinctly [[consistent]] through the 15-odd-limit. It is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]], though not zeta integral nor zeta gap. A basis for the 13-limit commas is [[2401/2400]], [[4096/4095]], [[6656/6655]], [[9801/9800]] and {{monzo| 2 6 -1 2 0 4 }}.
-has divisors {{EDOs|1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506}}.
+has divisors {{EDOs| 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506 }}.
-In addition to containing 22edo and 23edo, it contains a [[22L 1s|quartismoid]] scale produced by generator of 45\1012 associated with [[33/32]], and is associated with a 45 & 1012 temperament, making it [[concoctic]]. A comma basis for the 13-limit is 2401/2400, 6656/6655, 123201/123200, {{monzo|18 15 -12 -1  0 -3}}.
+In addition to containing 22edo and 23edo, it contains a [[22L 1s]] scale produced by generator of 45\1012 associated with [[33/32]], and is associated with the 45 & 1012 temperament, making it [[concoctic]]. A comma basis for the 13-limit is 2401/2400, 6656/6655, 123201/123200, {{monzo| 18 15 -12 -1  0 -3 }}.
 [[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->