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> and whoosh, \|37 25 -33>. 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 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> and whoosh, \|37 25 -33>. 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.