171edo: Difference between revisions
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171 factors into primes as 3^2 * 19, and it shares the nearly pure 7/6 of [[9edo|9edo]] and the nearly pure 6/5 of [[19edo|19edo]], with every 7-limit interval expressible in terms of 2, 6/5 and 7/6. 171 is much less accurate in the 11-limit, but still quite useful as it is a good tuning (emphasizing accuracy in the 7-limit) for the important rank-three temperament jove, which tempers out 243/242 and 441/440, not to mention 540/539 and 2401/2400. Jove can be extended by adding 364/363 for the 13 limit and 595/594 for the 17 limit, which 171 also supports. | 171 factors into primes as 3^2 * 19, and it shares the nearly pure 7/6 of [[9edo|9edo]] and the nearly pure 6/5 of [[19edo|19edo]], with every 7-limit interval expressible in terms of 2, 6/5 and 7/6. 171 is much less accurate in the 11-limit, but still quite useful as it is a good tuning (emphasizing accuracy in the 7-limit) for the important rank-three temperament jove, which tempers out 243/242 and 441/440, not to mention 540/539 and 2401/2400. Jove can be extended by adding 364/363 for the 13 limit and 595/594 for the 17 limit, which 171 also supports. | ||
Also, see the [[Table of 171edo intervals]]. | |||
=Scales= | =Scales= | ||