940edo: Difference between revisions

The ''940 equal division'' divides the octave into 940 equal parts of 1.277 cents each. It is uniquely [[consistent|consistent]] through the 11-limit, tempering out 2401/2400 in the 7-limit and 5632/5625 and 9801/9800 in the 11-limit, which means it supports [[Breedsmic_temperaments#Decoid|decoid temperament]] 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|optimal patent val]] for 13-limit decoid. It also gives the optimal patent val for [[The_Archipelago#Rank tree temperaments|greenland]] and [[The_Archipelago#Rank tree temperaments|baffin]] temperaments, and for the rank five temperament temperament tempering out 676/675. The non-patent val <940 1491 2184 2638 3254 3481| gives a tuning almost identical to the POTE tuning for the 13-limit [[Hemifamity_family#Pele|pele temperament]] tempering out 196/195, 352/351 and 364/363.