111edo: Difference between revisions
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In fact in the [[7-limit]] it tempers out [[1728/1715]], [[3136/3125]], and [[5120/5103]], and in the 11-limit, 176/175, [[540/539]], 1331/1323, [[1375/1372]], and notably the [[quartisma]]. | In fact in the [[7-limit]] it tempers out [[1728/1715]], [[3136/3125]], and [[5120/5103]], and in the 11-limit, 176/175, [[540/539]], 1331/1323, [[1375/1372]], and notably the [[quartisma]]. | ||
It is a particularly good tuning for the 11- or 13-limit versions of [[semisept]], the 31 & 80 temperament, and [[buzzard]], the 53 & 58 temperament. [[Gene Ward Smith]]'s trio in [[#Music]] section is in [[Orwellismic family #Guanyin|guanyin temperament]], the [[planar temperament]] [[tempering out]] 176/175 and 540/539, for which 111 also provides the optimal patent val. | It is a particularly good tuning for the 11- or 13-limit versions of [[semisept]], the {{nowrap|31 & 80}} temperament, and [[buzzard]], the {{nowrap|53 & 58}} temperament. [[Gene Ward Smith]]'s trio in [[#Music]] section is in [[Orwellismic family #Guanyin|guanyin temperament]], the [[planar temperament]] [[tempering out]] 176/175 and 540/539, for which 111 also provides the optimal patent val. | ||
=== Prime harmonics === | === Prime harmonics === | ||