28742edo: Difference between revisions
Explain its xenharmonic value (not much but it's something) |
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It is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]]. | 28742edo is a strong [[29-limit]] system, [[consistent]] to the [[23-odd-limit]], and except for [[25/23]] and its [[octave complement]], it is consistent to the [[29-odd-limit]]. It also has potential as a no-31 higher-limit system. It is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]]. | ||
== Harmonics = | As an equal temperament, it tempers out [[123201/123200]] in the [[13-limit]]; [[194481/194480]] and [[336141/336140]] in the 17-limit; [[89376/89375]], [[104976/104975]] and [[165376/165375]] in the 19-limit; and [[75141/75140]] among others in the 23-limit. | ||
{{Harmonics in equal|28742}} | |||
=== Prime harmonics === | |||
{{Harmonics in equal|28742|columns=11}} | |||
{{Harmonics in equal|28742|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 28742edo (continued)}} | |||
=== Subsets and supersets === | |||
Since 28742 factors into {{nowrap| 2 × 7 × 2053 }}, 28742edo has subset edos {{EDOs| 2, 7, 14 }}, 2053, 4106, and 14371. | |||