187edt: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | {{ED intro}} | ||
== Harmonics == | == Theory == | ||
{{Harmonics in equal | 187edt is nearly identical to [[118edo]], but with the [[3/1|perfect twelfth]] rather than the [[2/1|octave]] being just. The octave is [[stretched and compressed tuning|stretched]] by about 0.164 cents. Like 118edo, 187edt is [[consistent]] to the [[integer limit|12-integer-limit]]. It preserves the 5-limit [[microtemperament|microtempering]] quality of 118edo, and the approximated [[prime harmonic]]s [[7/1|7]], [[11/1|11]], [[17/1|17]], and [[19/1|19]] are slighly improved. | ||
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| | === Harmonics === | ||
| | {{Harmonics in equal|187|3|1|intervals=integer|columns=11}} | ||
}} | {{Harmonics in equal|187|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 187edt (continued)}} | ||
{{Harmonics in equal | |||
| | === Subsets and supersets === | ||
| | Since 187 factors into primes as {{nowrap| 11 × 17 }}, 187edt contains [[11edt]] and [[17edt]] as subset edts. | ||
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| start = 12 | == See also == | ||
| collapsed = | * [[69edf]] – relative edf | ||
}} | * [[118edo]] – relative edo | ||