125edo: Difference between revisions
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== Theory == | == Theory == | ||
The equal temperament [[tempering out|tempers out]] [[15625/15552]] in the 5-limit; [[225/224]] and [[4375/4374]] in the 7-limit; [[385/384]] and [[540/539]] in the 11-limit. It defines the [[optimal patent val]] for 7- and 11-limit [[slender]] temperament. In the 13-limit the 125f val {{val| 125 198 290 351 432 462 }} does a better job, where it tempers out [[169/168]], [[325/324]], [[351/350]], [[625/624]] and [[676/675]], providing a good tuning for [[catakleismic]]. | The equal temperament [[tempering out|tempers out]] [[15625/15552]] in the 5-limit; [[225/224]] and [[4375/4374]] in the 7-limit; [[385/384]] and [[540/539]] in the 11-limit. It defines the [[optimal patent val]] for 7- and 11-limit [[slender]] temperament. In the 13-limit the 125f val {{val| 125 198 290 351 432 462 }} does a better job, where it tempers out [[169/168]], [[325/324]], [[351/350]], [[625/624]] and [[676/675]], providing a good tuning for [[catakleismic]]. Among well-known intervals, the approximation of [[10/9]], as 19 steps, is notable for being a strong convergent, within 0.004 cents. | ||
=== Prime harmonics === | === Prime harmonics === | ||