1178edo: Difference between revisions
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{{EDO intro|1178}} | {{EDO intro|1178}} | ||
== Theory == | |||
1178edo is a very strong 19-limit system, and is a [[zeta edo|zeta peak, integral and gap edo]]. It is also [[consistency|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 [[comma]]s is [[2500/2499]], [[3025/3024]], 3250/3249, 4200/4199, [[4375/4374]], [[4914/4913]] and 5985/5984. It [[support]]s and provides a great tuning for [[semihemienneadecal]]. | 1178edo is a very strong 19-limit system, and is a [[zeta edo|zeta peak, integral and gap edo]]. It is also [[consistency|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 [[comma]]s is [[2500/2499]], [[3025/3024]], 3250/3249, 4200/4199, [[4375/4374]], [[4914/4913]] and 5985/5984. It [[support]]s and provides a great tuning for [[semihemienneadecal]]. | ||
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Since 1178 = {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}. | Since 1178 = {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}. | ||
== Music == | |||
[https://www.youtube.com/watch?v=c9e7MTsIDc4 Listening] (2023) | |||
[[Category:Enneadecal]] | [[Category:Enneadecal]] | ||
[[Category:Hemienneadecal]] | [[Category:Hemienneadecal]] | ||
[[Category:Semihemienneadecal]] | [[Category:Semihemienneadecal]] | ||