3684edo: Difference between revisions

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{{Infobox ET}}
The '''3684 equal division''' divides the octave into 3684 steps of 0.325733 cents each, which means that one cent is exactly 3.07 steps of 3684 edo. It is an extraordinarily strong 5-limit system, tempering out senior, |-17 62 -35>, gross, |144 -22 -47> and the Kirnberger atom, |161 -84 -12>. It is uniquely consistent through the 9 odd limit, and in the 7-limit, it tempers out the landscape comma, 250047/250000, and so [[support]]s the 7-limit version of the 612&1848 temperament.
The '''3684 equal division''' divides the octave into 3684 steps of 0.325733 cents each, which means that one cent is exactly 3.07 steps of 3684 edo. It is an extraordinarily strong 5-limit system, tempering out senior, |-17 62 -35>, gross, |144 -22 -47> and the Kirnberger atom, |161 -84 -12>. It is uniquely consistent through the 9 odd limit, and in the 7-limit, it tempers out the landscape comma, 250047/250000, and so [[support]]s the 7-limit version of the 612&1848 temperament.