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{{ED intro}} | |||
== Theory == | |||
176edt is closely related to [[111edo]], but with the [[3/1|perfect twelfth]] tuned just instead of the [[2/1|octave]]. The octave is [[stretched and compressed tuning|compressed]] by about 0.472 cents. Like 111edo, 176edt is [[consistent]] to the [[integer limit|22-integer-limit]]. While it tunes 2 and [[11/1|11]] flat, the [[5/1|5]], [[7/1|7]], [[13/1|13]], [[17/1|17]], and [[19/1|19]] remain sharp as in 111edo but significantly less so. The [[23/1|23]], which is flat to begin with, becomes worse. | |||
{{ | === Harmonics === | ||
{{Harmonics in equal|176|3|1|interval=integer|columns=11}} | |||
{{Harmonics in equal|176|3|1|interval=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 176edt (continued)}} | |||
=== Subsets and supersets === | |||
Since 176 factors into primes as {{nowrap| 2<sup>4</sup> × 11 }}, 176edt contains subset edts {{EDs|equave=t| 2, 4, 8, 11, 16, 22, 44, and 88 }}. | |||
== See also == | |||
* [[111edo]] – relative edo | |||
* [[287ed6]] – relative ed6 | |||