1178edo: Difference between revisions
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{{EDO intro|1178}} | {{EDO intro|1178}} | ||
1178edo is a very strong 19-limit system, and is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak, integral and gap edo]]. It is also distinctly [[consistent]] through to the [[21-odd-limit]], and is the first edo past [[742edo|742]] with a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]]. A basis for its 19-limit commas is 2500/2499, 3025/3024, 3250/3249, 4200/4199, 4375/4374, 4914/4913 and 5985/5984. It supports and provides a great tuning for [[semihemienneadecal]]. | 1178edo is a very strong 19-limit system, and is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak, integral and gap edo]]. It is also distinctly [[consistent]] through to the [[21-odd-limit]], and is the first edo past [[742edo|742]] with a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]]. A basis for its 19-limit commas is [[2500/2499]], [[3025/3024]], 3250/3249, 4200/4199, [[4375/4374]], 4914/4913 and 5985/5984. It supports and provides a great tuning for [[semihemienneadecal]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|1178|columns=11}} | {{Harmonics in equal|1178|columns=11}} | ||
=== | === Subsets and supersets === | ||
Since 1178 = 2 × 19 × 31, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}. | Since 1178 = 2 × 19 × 31, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}. | ||