493edt: Difference between revisions

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~~{{Stub}}~~

{{Infobox ET

| Consistency = 42

}}

== Harmonics ==

== Theory ==

493edt is related to [[311edo]], but with the [[3/1|twelfth]] rather than the [[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 in equal|493|3|1|start = 12|collapsed = 1|~~intervals~~ = ~~odd~~|~~columns = 16~~}}

=== Harmonics ===

{{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

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-{{Stub}}
+{{Infobox ET
-{{Infobox ET}}
+| Consistency = 42
+}}
 {{ED intro}}
-== Harmonics ==
+== Theory ==
-{{Harmonics in equal|493|3|1|intervals = prime|columns = 9}}
+edt is related to [[311edo]], but with the [[3/1|twelfth]] rather than the [[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 in equal|493|3|1|start = 12|collapsed = 1|intervals = odd|columns = 16}}
+=== Harmonics ===
+{{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)}}
+=== 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