103169edo: Difference between revisions

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'''103169edo''' is the [[EDO|equal division of the octave]] into 103169 parts of 0.011631401 [[cent]]s each. It provides an extraordinarily strong 7-limit system, tempering out |9 -28 37 -18>, |-92 -17 21 25>, and |110 -71 -11 10>. It maps the starling comma ([[126/125]]) to 1186 steps, the gamelisma (1029/1024) to 725 steps, the marvel comma ([[225/224]]) to 663 steps, the hemifamity comma (5120/5103) to 495 steps, the breedsma ([[2401/2400]]) to 62 steps, and the ragisma ([[4375/4374]]) to 34 steps. The patent val tempers out |20 3 -9 -10 7>, |-29 16 5 -9 5>, |3 -26 13 -7 8>, and |-6 2 -24 11 8> in the 11-limit, and 5767168/5767125, 1610510000/1610497161, 12784876137/12784844800, 26796875000/26796587103, and |-17 -5 -13 0 17 -1> in the 13-limit.

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			{{Infobox ET}}
	'''103169edo''' is the [[EDO\|equal division of the octave]] into 103169 parts of 0.011631401 [[cent]]s each. It provides an extraordinarily strong 7-limit system, tempering out \|9 -28 37 -18>, \|-92 -17 21 25>, and \|110 -71 -11 10>. It maps the starling comma ([[126/125]]) to 1186 steps, the gamelisma (1029/1024) to 725 steps, the marvel comma ([[225/224]]) to 663 steps, the hemifamity comma (5120/5103) to 495 steps, the breedsma ([[2401/2400]]) to 62 steps, and the ragisma ([[4375/4374]]) to 34 steps. The patent val tempers out \|20 3 -9 -10 7>, \|-29 16 5 -9 5>, \|3 -26 13 -7 8>, and \|-6 2 -24 11 8> in the 11-limit, and 5767168/5767125, 1610510000/1610497161, 12784876137/12784844800, 26796875000/26796587103, and \|-17 -5 -13 0 17 -1> in the 13-limit.		'''103169edo''' is the [[EDO\|equal division of the octave]] into 103169 parts of 0.011631401 [[cent]]s each. It provides an extraordinarily strong 7-limit system, tempering out \|9 -28 37 -18>, \|-92 -17 21 25>, and \|110 -71 -11 10>. It maps the starling comma ([[126/125]]) to 1186 steps, the gamelisma (1029/1024) to 725 steps, the marvel comma ([[225/224]]) to 663 steps, the hemifamity comma (5120/5103) to 495 steps, the breedsma ([[2401/2400]]) to 62 steps, and the ragisma ([[4375/4374]]) to 34 steps. The patent val tempers out \|20 3 -9 -10 7>, \|-29 16 5 -9 5>, \|3 -26 13 -7 8>, and \|-6 2 -24 11 8> in the 11-limit, and 5767168/5767125, 1610510000/1610497161, 12784876137/12784844800, 26796875000/26796587103, and \|-17 -5 -13 0 17 -1> in the 13-limit.