126edo: Difference between revisions
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126edo has a distinctly sharp tendency, with the [[3/1|3]], [[5/1|5]], [[7/1|7]] and [[11/1|11]] all sharp. The equal temperament [[tempering out|tempers out]] [[2048/2025]] in the 5-limit, [[2401/2400]] and [[4375/4374]] in the 7-limit, and [[176/175]], [[896/891]], and 1331/1323 in the 11-limit. It provides the [[optimal patent val]] for 7- and 11-limit [[srutal]] temperament. It also creates an excellent [[Porcupine]][8] scale, mapping the | 126edo has a distinctly sharp tendency, with the [[3/1|3]], [[5/1|5]], [[7/1|7]] and [[11/1|11]] all sharp. The equal temperament [[tempering out|tempers out]] [[2048/2025]] in the 5-limit, [[2401/2400]] and [[4375/4374]] in the 7-limit, and [[176/175]], [[896/891]], and 1331/1323 in the 11-limit. It provides the [[optimal patent val]] for 7- and 11-limit [[srutal]] temperament. It also creates an excellent [[Porcupine]][8] scale, mapping the generators to 17 steps, and the smaller interval to 7, which is the precise amount of tempering needed to make the thirds and fourths equally consonant within a few fractions of a cent. | ||
=== Odd harmonics === | === Odd harmonics === | ||