493edt: Difference between revisions

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{{Infobox ET}}
{{Infobox ET
| Consistency = 42
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{{ED intro}}
{{ED intro}}


493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].
== Theory ==
493edt is related to [[311edo]], but with the [[3/1|twelfth]] rather than the [[2/1|octave]] being just. The octave is about 0.187 cents compressed. The patent val matches with 311edo's through the [[43-limit]], maintaining the extremely strong [[consistency]] record through to the [[integer limit|42-integer-limit]]. However, it has a flat-tending tuning profile, with harmonics 1–42 all tuned flat except for [[31/1|31]].  


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|493|3|1|columns=11}}
{{Harmonics in equal|493|3|1|columns=11}}
{{Harmonics in equal|493|3|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 493edt (continued)}}
{{Harmonics in equal|493|3|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 493edt (continued)}}
=== Subsets and supersets ===
Since 493 factors into primes as {{nowrap| 17 × 29 }}, 493edt contiains [[17edt]] and [[29edt]] as its subset edts.
=== See also ===
* [[311edo]] – relative edo