Ratio to Interval Table num:den ----------------------- ------- ------------------------ num ------------------------ den __1__ __2__ __3__ __4__ __5__ __6__ __7__ __8__ __9__ 1 0 1200 1902 2400 2786 3102 3369 3600 3804 2 -1200 0 702 1200 1586 1902 2169 2400 2604 3 -1902 -702 0 498 884 1200 1467 1698 1902 4 -2400 -1200 -498 0 386 702 969 1200 1404 5 -2786 -1586 -884 -386 0 316 583 814 1018 6 -3102 -1902 -1200 -702 -316 0 267 498 702 7 -3369 -2169 -1467 -969 -583 -267 0 231 435 8 -3600 -2400 -1698 -1200 -814 -498 -231 0 204 9 -3804 -2604 -1902 -1404 -1018 -702 -435 -204 0 ------------------------ num ------------------------ den __1__ __2__ __3__ __4__ __5__ __6__ __7__ __8__ __9__ 1 0 1200 1902 2400 2786 3102 3369 3600 3804 2 -1200 1:1 702 2:1 1586 3:1 2169 4:1 2604 3 -1902 -702 1:1 498 884 2:1 1467 1698 3:1 4 -2400 1:2 -498 1:1 386 3:2 969 2:1 1404 5 -2786 -1586 -884 -386 1:1 316 583 814 1018 6 -3102 1:3 1:2 2:3 -316 1:1 267 498 3:2 7 -3369 -2169 -1467 -969 -583 -267 1:1 231 435 8 -3600 1:4 -1698 1:2 -814 3:4 -231 1:1 204 9 -3804 -2604 1:3 -1404 -1018 2:3 -435 -204 1:1 Equivalent Ratios ----------------- Interval of -2400 cents = 1:4 = 2:8 Interval of -1902 cents = 1:3 = 2:6 = 3:9 Interval of -1200 cents = 1:2 = 2:4 = 3:6 = 4:8 Interval of -702 cents = 2:3 = 4:6 = 6:9 Interval of -498 cents = 3:4 = 6:8 Interval of 0 cents = 1:1 = 2:2 = 3:3 = 4:4 = 5:5 = 6:6 = 7:7 = 8:8 = 9:9 Interval of 702 cents = 3:2 = 6:4 = 9:6 Interval of 1200 cents = 2:1 = 4:2 = 6:3 = 8:4 Interval of 1902 cents = 3:1 = 6:2 = 9:3 Interval of 2400 cents = 4:1 = 8:2 Interval of 0 cents = 1:1 = 2:2 = 3:3 = 4:4 = 5:5 = 6:6 = 7:7 = 8:8 = 9:9 Interval of -1200 cents = 1:2 = 2:4 = 3:6 = 4:8 Interval of -1902 cents = 1:3 = 2:6 = 3:9 Interval of -2400 cents = 1:4 = 2:8 Interval of 1200 cents = 2:1 = 4:2 = 6:3 = 8:4 Interval of -702 cents = 2:3 = 4:6 = 6:9 Interval of 1902 cents = 3:1 = 6:2 = 9:3 Interval of 702 cents = 3:2 = 6:4 = 9:6 Interval of -498 cents = 3:4 = 6:8 Interval of 2400 cents = 4:1 = 8:2