2072edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|2072}}
{{ED intro}}


2072edo is [[consistent]] in the [[17-odd-limit]], as well as a strong 5-limit tuning, tempering out [[kwazy]], {{monzo|-53 10  16}}, {{monzo|-33 97 -52}}, and [[barium comma]], {{monzo|-225 224 -56}}, equating [[81/80]] to 1/56th of the octave. It provides the [[optimal patent val]] for the [[barium]] temperament in the 13-limit. It tempers out the [[euzenius]] comma in the 7-limit.
2072edo is [[consistent]] in the [[17-odd-limit]], as well as a strong 5-limit tuning, tempering out [[kwazy]], {{monzo|-53 10  16}}, {{monzo|-33 97 -52}}, and [[barium comma]], {{monzo|-225 224 -56}}, equating [[81/80]] to 1/56th of the octave. It provides the [[optimal patent val]] for the [[barium]] temperament in the 13-limit. It tempers out the [[euzenius]] comma in the 7-limit.
2072edo contains the 2.7.11 mapping of [[296edo]].


=== Prime harmonics ===
=== Prime harmonics ===
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 2072 factors as {{Factorization|2072}}, 2072edo has subset edos {{EDOs|1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036}}.
Since 2072 factors as {{Factorization|2072}}, 2072edo has subset edos {{EDOs|1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036}}.