1236edo: Difference between revisions

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 {{Infobox ET}}
-The '''1236 divisions of the octave''' divides the [[octave]] into 1236 [[equal]] parts of 0.9709 [[cent]]s 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-odd-limit, with a 17-limit [[comma basis]] of {[[2601/2600]], [[4096/4095]], [[5832/5831]], [[6656/6655]], [[9801/9800]], 105644/105625}.
+{{ED intro}}
-= 2<sup>2</sup> × 3 × 103, with subset edos 2, 3, 6, 12, 103, 206, 309, and 618. It is divisible by 12, and is an [[atomic]] system.
+edo is a [[zeta peak edo]], though not [[zeta integral edo|zeta integral]] nor [[zeta gap edo|zeta gap]]. It is a strong 17-limit system and [[consistency|distinctly consistent]] through the [[17-odd-limit]], with a 17-limit [[comma basis]] of {[[2601/2600]], [[4096/4095]], [[5832/5831]], [[6656/6655]], [[9801/9800]], 105644/105625}.
-{{Harmonics in equal|1236}}
+=== Prime harmonics ===
+{{Harmonics in equal|1236|columns=11}}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+=== Subsets and supersets ===
+Since 1236 factors into {{factorization|1236}}, 1236edo has subset edos {{EDOs| 2, 3, 6, 12, 103, 206, 309, and 618 }}. It is divisible by 12, and is an [[atomic]] system.