940edo: Difference between revisions

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940edo is ~~distinctly~~ [[consistent]] through the [[11-odd-limit]], tempering out [[2401/2400]] in the 7-limit and [[5632/5625]] and [[9801/9800]] in the 11-limit, which means it [[support]]s [[decoid]] and in fact gives an excellent tuning for it. In the 13-limit, it tempers out [[676/675]], [[1001/1000]], [[1716/1715]], [[2080/2079]], [[4096/4095]] and [[4225/4224]], so that it supports and gives the [[optimal patent val]] for 13-limit decoid. It also gives the optimal patent val for the [[greenland]] and [[baffin]] temperaments, and for the rank-5 temperament tempering out 676/675.

940edo is [[consistency|distinctly consistent]] through the [[11-odd-limit]]. The equal temperament [[tempering out|tempers out]] [[2401/2400]] in the 7-limit and [[5632/5625]] and [[9801/9800]] in the 11-limit, which means it [[support]]s [[decoid]] and in fact gives an excellent tuning for it. In the 13-limit, it tempers out [[676/675]], [[1001/1000]], [[1716/1715]], [[2080/2079]], [[4096/4095]] and [[4225/4224]], so that it supports and gives the [[optimal patent val]] for 13-limit decoid. It also gives the optimal patent val for the [[greenland]] and [[baffin]] temperaments, and for the rank-5 temperament tempering out 676/675.

The non-patent val {{val| 940 1491 2184 2638 3254 3481 }} gives a tuning almost identical to the [[POTE tuning]] for the 13-limit [[pele]] temperament, tempering out 196/195, 352/351 and 364/363.

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=== Subsets and supersets ===

940edo has subset edos {{EDOs| 2, 4, 5, 10, 20, 47, 94, 188, 235, 470 }}, of which [[94edo]] is notable.

Since 940 factors into {{factorization|940}}, 940edo has subset edos {{EDOs| 2, 4, 5, 10, 20, 47, 94, 188, 235, 470 }}, of which 94edo is notable.

[[1880edo]], which doubles 940edo, provides good correction for harmonics 5 and 13, though the error of 3 has accumulated to the point of inconsistency in the 9-odd-limit.

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 {{EDO intro|940}}
-edo is distinctly [[consistent]] through the [[11-odd-limit]], tempering out [[2401/2400]] in the 7-limit and [[5632/5625]] and [[9801/9800]] in the 11-limit, which means it [[support]]s [[decoid]] and in fact gives an excellent tuning for it. In the 13-limit, it tempers out [[676/675]], [[1001/1000]], [[1716/1715]], [[2080/2079]], [[4096/4095]] and [[4225/4224]], so that it supports and gives the [[optimal patent val]] for 13-limit decoid. It also gives the optimal patent val for the [[greenland]] and [[baffin]] temperaments, and for the rank-5 temperament tempering out 676/675.
+edo is [[consistency|distinctly consistent]] through the [[11-odd-limit]]. The equal temperament [[tempering out|tempers out]] [[2401/2400]] in the 7-limit and [[5632/5625]] and [[9801/9800]] in the 11-limit, which means it [[support]]s [[decoid]] and in fact gives an excellent tuning for it. In the 13-limit, it tempers out [[676/675]], [[1001/1000]], [[1716/1715]], [[2080/2079]], [[4096/4095]] and [[4225/4224]], so that it supports and gives the [[optimal patent val]] for 13-limit decoid. It also gives the optimal patent val for the [[greenland]] and [[baffin]] temperaments, and for the rank-5 temperament tempering out 676/675.
 The non-patent val {{val| 940 1491 2184 2638 3254 3481 }} gives a tuning almost identical to the [[POTE tuning]] for the 13-limit [[pele]] temperament, tempering out 196/195, 352/351 and 364/363.
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 === Subsets and supersets ===
-edo has subset edos {{EDOs| 2, 4, 5, 10, 20, 47, 94, 188, 235, 470 }}, of which [[94edo]] is notable.
+Since 940 factors into {{factorization|940}}, 940edo has subset edos {{EDOs| 2, 4, 5, 10, 20, 47, 94, 188, 235, 470 }}, of which 94edo is notable.
 [[1880edo]], which doubles 940edo, provides good correction for harmonics 5 and 13, though the error of 3 has accumulated to the point of inconsistency in the 9-odd-limit.