261edo: Difference between revisions

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==~~Theory~~==

261edo is [[consistent]] in the [[7-odd-limit]] and shares its harmonic 3 with [[29edo]], though with a significant error. Like other small EDO multiples of 29, it tunes the [[mystery]] temperament. A comma basis for the 7-limit is {10976/10935, 15625/15552, 2097152/2083725}. It is also [[enfactoring|enfactored]] in the 2.5.11 subgroup, inheriting it from [[87edo]] which it triples.

261edo's patent val supports and is part of the [[optimal ET sequence]] for the [[diatessic]] temperament in the 11- and 13-limit, [[novemkleismic]] in the 7-limit and the 11-limit. 261ccdee val, {{val|261 414 '''605''' '''732''' '''904'''}} supports the [[superkleismic]] temperament.

=== Odd harmonics ===

=== Subsets and supersets ===

Since 261 factors as {{Factorization|261}}, 261edo has subset edos {{EDOs|1, 3, 9, 29, 87}}.

[[783edo]], which divides each edostep in three, provides a strong correction for harmonics 3 and 7.

[[Category:Novemkleismic]]

[[Category:Diatessic]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|261}}
+{{ED intro}}
-==Theory==
-{{Primes in edo|261}}
+edo is [[consistent]] in the [[7-odd-limit]] and shares its harmonic 3 with [[29edo]], though with a significant error. Like other small EDO multiples of 29, it tunes the [[mystery]] temperament. A comma basis for the 7-limit is {10976/10935, 15625/15552, 2097152/2083725}. It is also [[enfactoring|enfactored]] in the 2.5.11 subgroup, inheriting it from [[87edo]] which it triples.
+edo's patent val supports and is part of the [[optimal ET sequence]] for the [[diatessic]] temperament in the 11- and 13-limit, [[novemkleismic]] in the 7-limit and the 11-limit. 261ccdee val, {{val|261 414 '''605''' '''732''' '''904'''}} supports the [[superkleismic]] temperament.
+=== Odd harmonics ===
+{{Harmonics in equal|261}}
+=== Subsets and supersets ===
+Since 261 factors as {{Factorization|261}}, 261edo has subset edos {{EDOs|1, 3, 9, 29, 87}}.
+[[783edo]], which divides each edostep in three, provides a strong correction for harmonics 3 and 7.
+[[Category:Novemkleismic]]
+[[Category:Diatessic]]