1171edo: Difference between revisions
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Cmloegcmluin (talk | contribs) hyphenate and link comma-basis |
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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. | ||
Revision as of 22:42, 8 November 2021
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 612 with a lower 5-limit 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.