29th-octave temperaments: Difference between revisions

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[[29edo]] is notable for being the first equal division to have a more precise [[3/2]] than [[12edo]], and the first tuning to be consistent in the [[15-odd-limit]]. 29th-octave temperaments occur naturally when temperament-merging edos whose greatest common divisor is 29.

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[[Badness]]: 1.020556

== Copper ==

Copper temperament is derived from a 5-limit comma called [[copper comma]], because it is constructed the same way towards 29edo as [[Kirnberger's atom]] is towards 12edo. A fifth of each of these tunings is modified by a tiny amount, then a circle of these fifths is set to close eventually at the octave.

~~Surprisingly,~~ despite 29edo's fifth being closer to 3/2 than 12edo's, copper has a higher TE error than [[atomic]] and is not a [[very high accuracy temperaments|very high accuracy temperament]].

It is worth noting that despite 29edo's fifth being closer to 3/2 than 12edo's, copper has a higher TE error than [[atomic]] and hence is not a [[very high accuracy temperaments|very high accuracy temperament]].

Subgroup: 2.3.5

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-{{Fractional-octave navigation|29}}
+{{Infobox fractional-octave|29}}
 [[29edo]] is notable for being the first equal division to have a more precise [[3/2]] than [[12edo]], and the first tuning to be consistent in the [[15-odd-limit]]. 29th-octave temperaments occur naturally when temperament-merging edos whose greatest common divisor is 29.
@@ Line 20: / Line 20: @@
 [[Badness]]: 1.020556
 == Copper ==
 Copper temperament is derived from a 5-limit comma called [[copper comma]], because it is constructed the same way towards 29edo as [[Kirnberger's atom]] is towards 12edo. A fifth of each of these tunings is modified by a tiny amount, then a circle of these fifths is set to close eventually at the octave.
-Surprisingly, despite 29edo's fifth being closer to 3/2 than 12edo's, copper has a higher TE error than [[atomic]] and is not a [[very high accuracy temperaments|very high accuracy temperament]].
+It is worth noting that despite 29edo's fifth being closer to 3/2 than 12edo's, copper has a higher TE error than [[atomic]] and hence is not a [[very high accuracy temperaments|very high accuracy temperament]].
 Subgroup: 2.3.5