1171edo: Difference between revisions

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-The 1171 equal division divides the octave into 1171 parts of size 1.0248 cents each. It is a very strong 5-limit division, being the first one past [[612edo|612]] with a lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]]. It has a 5-limit [[comma basis]] consisting of the monzisma, |54 -37 2&gt; and whoosh, |37 25 -33&gt;. While not a strong higher-limit system, it is uniquely consistent through the 27-limit, and is very strong on the 2.3.5.11 subgroup. We might also note that 1171 is a prime number.
+The '''1171 equal divisions of the octave''' ('''1171edo''') divides the [[octave]] into 1171 parts of size 1.0248 [[cent]]s each. It is a very strong 5-limit division, being the first one past [[612edo|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]]. It has a 5-limit [[comma basis]] consisting of the [[monzisma]], {{monzo| 54 -37 2 }} and whoosh, {{monzo| 37 25 -33 }}. While not a strong higher-limit system, it is uniquely consistent through the [[27-odd-limit]], and is very strong on the 2.3.5.11 subgroup. We might also note that 1171 is a [[prime number]].
+=== Prime harmonics ===
+{{Harmonics in equal|1171}}
+[[Category:Equal divisions of the octave]]