71edo: Difference between revisions
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The 71 equal temperament divides the octave into 71 equal parts of 16.901 cents each. It tempers out 20480/19683 and 393216/390625 in the 5-limit, 875/864, 4000/3969 and 1029/1024 in the 7-limit, 245/242 and 100/99 in the 11-limit, and 91/90 in the 13-limit. In the 13-limit it supplies the optimal patent val for the 29&71 and 34&37 temperaments. | The <b>71 equal temperament</b> or <b>71-EDO</b> divides the octave into 71 equal parts of 16.901 cents each. It tempers out 20480/19683 and 393216/390625 in the 5-limit, 875/864, 4000/3969 and 1029/1024 in the 7-limit, 245/242 and 100/99 in the 11-limit, and 91/90 in the 13-limit. In the 13-limit it supplies the optimal patent val for the 29&71 and 34&37 temperaments. | ||
71edo is the 20th [[prime EDO]]. | 71edo is the 20th [[prime EDO]]. | ||
Revision as of 10:07, 1 January 2019
The 71 equal temperament or 71-EDO divides the octave into 71 equal parts of 16.901 cents each. It tempers out 20480/19683 and 393216/390625 in the 5-limit, 875/864, 4000/3969 and 1029/1024 in the 7-limit, 245/242 and 100/99 in the 11-limit, and 91/90 in the 13-limit. In the 13-limit it supplies the optimal patent val for the 29&71 and 34&37 temperaments.
71edo is the 20th prime EDO.