228edo: Difference between revisions

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	The ''228 equal division'' divides the octave into 228 equal parts of 5.263 cents each. It tempers out the Pythagorean comma, 531441/524288, in the 3-limit, and 225/224 and 240047/240000 in the 7-limit, so that it ~~supports~~ 7-limit [[Pythagorean_family\|compton temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 225/224, 441/440, 1375/1372 and 4375/4356, so that it supports 11-limit compton. Aside from the Pythagorean comma, the 12-comma, it tempers out the [[enneadeca\|enneadeca]] or 19-tone-comma, and this is reflected in the fact that 228 = 12 * 19.		The ''228 equal division'' divides the octave into 228 equal parts of 5.263 cents each. It tempers out the Pythagorean comma, 531441/524288, in the 3-limit, and 225/224 and 240047/240000 in the 7-limit, so that it [[support]]s 7-limit [[Pythagorean_family\|compton temperament]] and in fact provides the [[Optimal_patent_val\|optimal patent val]]. In the 11-limit it tempers out 225/224, 441/440, 1375/1372 and 4375/4356, so that it supports 11-limit compton. Aside from the Pythagorean comma, the 12-comma, it tempers out the [[enneadeca\|enneadeca]] or 19-tone-comma, and this is reflected in the fact that 228 = 12 * 19.