118edo: Difference between revisions
No need to remind readers of what a regular temperament is everywhere Tag: Undo |
→Theory: +octave stretch; note prime factorization |
||
| Line 15: | Line 15: | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|118}} | {{Harmonics in equal|118}} | ||
=== Octave stretch === | |||
118edo's approximated harmonics 7, 11, 17 and 19 can be improved by employing a moderate [[stretched and compressed tuning|octave stretch]], using tunings such as [[69edf]] or [[187edt]], only at the cost of a little less accurate 5-limit part. | |||
=== Subsets and supersets === | === Subsets and supersets === | ||
118edo contains [[2edo]] and [[59edo]] as | Since 118 factors into primes as {{nowrap| 2 × 59 }}, 118edo contains [[2edo]] and [[59edo]] as subset edos. Its multiples, [[236edo]], [[354edo]] and [[472edo]] are all of various interests, each providing distinct interpretations of harmonics 7 and 11. See also [[118th-octave temperaments]]. | ||
== Intervals == | == Intervals == | ||