1236edo: Difference between revisions
+prime error table, +links, +category, and misc |
Clarify, simplify comma basis, note it being an atomic system, and replace irrelevant number theory with factorization and subset edos |
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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-limit, with a 17-limit [[comma basis]] of [[2601/2600]], [[ | 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]], [[6656/6655]], [[5832/5831]], [[9801/9800]], 105644/105625}. | ||
1236 = 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. | |||
{{Harmonics in equal|1236}} | {{Harmonics in equal|1236}} | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||