Table of 171edo intervals: Difference between revisions
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add a column with the help of https://scratch.mit.edu/projects/247966069/, but this project only calculates up to 5 digits |
No edit summary |
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| Line 9: | Line 9: | ||
| | 1 | | | 1 | ||
| | 15625/15552 | | | 15625/15552 | ||
| | | | | 225/224 | ||
| | | | | 225/224 | ||
| | | | | 144/143 | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 78732/78125 | | | 78732/78125 | ||
| | | | | 126/125 | ||
| | | | | 100/99 | ||
| | | | | 100/99 | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 81/80 | | | 81/80 | ||
| | | | | 81/80 | ||
| | | | | 81/80 | ||
| | | | | 78/77 | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 3125/3072 | | | 3125/3072 | ||
| | | | | 64/63 | ||
| | | | | 56/55 | ||
| | | | | 56/55 | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | ? | | | ? | ||
| | | | | 49/48 | ||
| | | | | 45/44 | ||
| | | | | 45/44 | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | 128/125 | | | 128/125 | ||
| | | | | 128/125 | ||
| | | | | 128/125 | ||
| | | | | 40/39 | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 250/243 | | | 250/243 | ||
| | | | | 36/35 | ||
| | | | | 36/35 | ||
| | | | | 36/35 | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | ? | | | ? | ||
| | | | | 405/392 | ||
| | | | | 33/32 | ||
| | | | | 33/32 | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 648/625 | | | 648/625 | ||
| | | | | 28/27 | ||
| | | | | 28/27 | ||
| | | | | 27/26 | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 25/24 | | | 25/24 | ||
| | | | | 25/24 | ||
| | | | | 25/24 | ||
| | | | | 25/24 | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | ? | | | ? | ||
| | | | | 256/245 | ||
| | | | | 256/245 | ||
| | | | | 117/112 | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 6561/6250 | | | 6561/6250 | ||
| | | | | 21/20 | ||
| | | | | 21/20 | ||
| | | | | 21/20 | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 135/128 | | | 135/128 | ||
| | | | | 135/128 | ||
| | | | | 128/121 | ||
| | | | | 96/91 | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 62500/59049 | | | 62500/59049 | ||
| | | | | 200/189 | ||
| | | | | 35/33 | ||
| | | | | 35/33 | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 82944/78125 | | | 82944/78125 | ||
| | | | | 625/588 | ||
| | | | | 297/280 | ||
| | | | | 52/49 | ||
|- | |- | ||
| | 16 | | | 16 | ||
| | 16/15 | | | 16/15 | ||
| | | | | 16/15 | ||
| | | | | 16/15 | ||
| | | | | 16/15 | ||
|- | |- | ||
| | 17 | | | 17 | ||
| | 3125/2916 | | | 3125/2916 | ||
| | | | | 15/14 | ||
| | | | | 15/14 | ||
| | | | | 15/14 | ||
|- | |- | ||
| | 18 | | | 18 | ||
| | ? | | | ? | ||
| | | | | 672/625 | ||
| | | | | 275/256 | ||
| | | | | 14/13 | ||
|- | |- | ||
| | 19 | | | 19 | ||
| | 27/25 | | | 27/25 | ||
| | | | | 27/25 | ||
| | | | | 27/25 | ||
| | | | | 27/25 | ||
|- | |- | ||
| | 20 | | | 20 | ||
| | 625/576 | | | 625/576 | ||
| | | | | 243/224 | ||
| | | | | 121/112 | ||
| | | | | 13/12 | ||
|- | |- | ||
| | 21 | | | 21 | ||
| | ? | | | ? | ||
| | | | | 49/45 | ||
| | | | | 12/11 | ||
| | | | | 12/11 | ||
|- | |- | ||
| | 22 | | | 22 | ||
| | 2048/1875 | | | 2048/1875 | ||
| | | | | 35/32 | ||
| | | | | 35/32 | ||
| | | | | 35/32 | ||
|- | |- | ||
| | 23 | | | 23 | ||
| | 800/729 | | | 800/729 | ||
| | | | | 192/175 | ||
| | | | | 192/175 | ||
| | | | | 100/91 | ||
|- | |- | ||
| | 24 | | | 24 | ||
| | ? | | | ? | ||
| | | | | 54/49 | ||
| | | | | 11/10 | ||
| | | | | 11/10 | ||
|- | |- | ||
| | 25 | | | 25 | ||
| | 3456/3125 | | | 3456/3125 | ||
| | | | | 448/405 | ||
| | | | | 256/231 | ||
| | | | | 72/65 | ||
|- | |- | ||
| | 26 | | | 26 | ||
| | 10/9 | | | 10/9 | ||
| | | | | 10/9 | ||
| | | | | 10/9 | ||
| | | | | 10/9 | ||
|- | |- | ||
| | 27 | | | 27 | ||
| | 78125/69984 | | | 78125/69984 | ||
| | | | | 125/112 | ||
| | | | | 125/112 | ||
| | | | | 39/35 | ||
|- | |- | ||
| | 28 | | | 28 | ||
| | 17496/15625 | | | 17496/15625 | ||
| | | | | 28/25 | ||
| | | | | 28/25 | ||
| | | | | 28/25 | ||
|- | |- | ||
| | 29 | | | 29 | ||
| | 9/8 | | | 9/8 | ||
| | | | | 9/8 | ||
| | | | | 9/8 | ||
| | | | | 9/8 | ||
|- | |- | ||
| | 30 | | | 30 | ||
| | 15625/13824 | | | 15625/13824 | ||
| | | | | 640/567 | ||
| | | | | 112/99 | ||
| | | | | 44/39 | ||
|- | |- | ||
| | 31 | | | 31 | ||
| | ? | | | ? | ||
| | | | | 245/216 | ||
| | | | | 25/22 | ||
| | | | | 25/22 | ||
|- | |- | ||
| | 32 | | | 32 | ||
| | 256/225 | | | 256/225 | ||
| | | | | 256/225 | ||
| | | | | 256/225 | ||
| | | | | 91/80 | ||
|- | |- | ||
| | 33 | | | 33 | ||
| | 2500/2187 | | | 2500/2187 | ||
| | | | | 8/7 | ||
| | | | | 8/7 | ||
| | | | | 8/7 | ||
|- | |- | ||
| | 34 | | | 34 | ||
| | ? | | | ? | ||
| | | | | 147/128 | ||
| | | | | 55/48 | ||
| | | | | 55/48 | ||
|- | |- | ||
| | 35 | | | 35 | ||
| | 144/125 | | | 144/125 | ||
| | | | | 144/125 | ||
| | | | | 140/121 | ||
| | | | | 15/13 | ||
|- | |- | ||
| | 36 | | | 36 | ||
| | 125/108 | | | 125/108 | ||
| | | | | 81/70 | ||
| | | | | 81/70 | ||
| | | | | 52/45 | ||
|- | |- | ||
| | 37 | | | 37 | ||
| | ? | | | ? | ||
| | | | | 512/441 | ||
| | | | | 64/55 | ||
| | | | | 64/55 | ||
|- | |- | ||
| | 38 | | | 38 | ||
| | 729/625 | | | 729/625 | ||
| | | | | 7/6 | ||
| | | | | 7/6 | ||
| | | | | 7/6 | ||
|- | |- | ||
| | 39 | | | 39 | ||
| | 75/64 | | | 75/64 | ||
| | | | | 75/64 | ||
| | | | | 75/64 | ||
| | | | | 75/64 | ||
|- | |- | ||
| | 40 | | | 40 | ||
| | ? | | | ? | ||
| | | | | 147/125 | ||
| | | | | 88/75 | ||
| | | | | 88/75 | ||
|- | |- | ||
| | 41 | | | 41 | ||
| | 18432/15625 | | | 18432/15625 | ||
| | | | | 189/160 | ||
| | | | | 33/28 | ||
| | | | | 13/11 | ||
|- | |- | ||
| | 42 | | | 42 | ||
| | 32/27 | | | 32/27 | ||
| | | | | 32/27 | ||
| | | | | 32/27 | ||
| | | | | 32/27 | ||
|- | |- | ||
| | 43 | | | 43 | ||
| | 15625/13122 | | | 15625/13122 | ||
| | | | | 25/21 | ||
| | | | | 25/21 | ||
| | | | | 25/21 | ||
|- | |- | ||
| | 44 | | | 44 | ||
| | 93312/78125 | | | 93312/78125 | ||
| | | | | 448/375 | ||
| | | | | 448/375 | ||
| | | | | 117/98 | ||
|- | |- | ||
| | 45 | | | 45 | ||
| | 6/5 | | | 6/5 | ||
| | | | | 6/5 | ||
| | | | | 6/5 | ||
| | | | | 6/5 | ||
|- | |- | ||
| | 46 | | | 46 | ||
| | 3125/2592 | | | 3125/2592 | ||
| | | | | 135/112 | ||
| | | | | 77/64 | ||
| | | | | 65/54 | ||
|- | |- | ||
| | 47 | | | 47 | ||
| | ? | | | ? | ||
| | | | | 98/81 | ||
| | | | | 40/33 | ||
| | | | | 40/33 | ||
|- | |- | ||
| | 48 | | | 48 | ||
| | 243/200 | | | 243/200 | ||
| | | | | 175/144 | ||
| | | | | 121/100 | ||
| | | | | 91/75 | ||
|- | |- | ||
| | 49 | | | 49 | ||
| | 625/512 | | | 625/512 | ||
| | | | | 128/105 | ||
| | | | | 128/105 | ||
| | | | | 39/32 | ||
|- | |- | ||
| | 50 | | | 50 | ||
| | ? | | | ? | ||
| | | | | 49/40 | ||
| | | | | 11/9 | ||
| | | | | 11/9 | ||
|- | |- | ||
| | 51 | | | 51 | ||
| | 768/625 | | | 768/625 | ||
| | | | | 315/256 | ||
| | | | | 275/224 | ||
| | | | | 16/13 | ||
|- | |- | ||
| | 52 | | | 52 | ||
| | 100/81 | | | 100/81 | ||
| | | | | 100/81 | ||
| | | | | 100/81 | ||
| | | | | 100/81 | ||
|- | |- | ||
| | 53 | | | 53 | ||
| | ? | | | ? | ||
| | | | | 243/196 | ||
| | | | | 99/80 | ||
| | | | | 26/21 | ||
|- | |- | ||
| | 54 | | | 54 | ||
| | 3888/3125 | | | 3888/3125 | ||
| | | | | 56/45 | ||
| | | | | 56/45 | ||
| | | | | 56/45 | ||
|- | |- | ||
| | 55 | | | 55 | ||
| | 5/4 | | | 5/4 | ||
| | | | | 5/4 | ||
| | | | | 5/4 | ||
| | | | | 5/4 | ||
|- | |- | ||
| | 56 | | | 56 | ||
| | 78125/62208 | | | 78125/62208 | ||
| | | | | 784/625 | ||
| | | | | 784/625 | ||
| | | | | 49/39 | ||
|- | |- | ||
| | 57 | | | 57 | ||
| | 19683/15625 | | | 19683/15625 | ||
| | | | | 63/50 | ||
| | | | | 44/35 | ||
| | | | | 44/35 | ||
|- | |- | ||
| | 58 | | | 58 | ||
| | 81/64 | | | 81/64 | ||
| | | | | 81/64 | ||
| | | | | 81/64 | ||
| | | | | 81/64 | ||
|- | |- | ||
| | 59 | | | 59 | ||
| | 15625/12288 | | | 15625/12288 | ||
| | | | | 80/63 | ||
| | | | | 14/11 | ||
| | | | | 14/11 | ||
|- | |- | ||
| | 60 | | | 60 | ||
| | ? | | | ? | ||
| | | | | 125/98 | ||
| | | | | 125/98 | ||
| | | | | 125/98 | ||
|- | |- | ||
| | 61 | | | 61 | ||
| | 32/25 | | | 32/25 | ||
| | | | | 32/25 | ||
| | | | | 32/25 | ||
| | | | | 32/25 | ||
|- | |- | ||
| | 62 | | | 62 | ||
| | 625/486 | | | 625/486 | ||
| | | | | 9/7 | ||
| | | | | 9/7 | ||
| | | | | 9/7 | ||
|- | |- | ||
| | 63 | | | 63 | ||
| | ? | | | ? | ||
| | | | | 1323/1024 | ||
| | | | | 128/99 | ||
| | | | | 84/65 | ||
|- | |- | ||
| | 64 | | | 64 | ||
| | 162/125 | | | 162/125 | ||
| | | | | 35/27 | ||
| | | | | 35/27 | ||
| | | | | 35/27 | ||
|- | |- | ||
| | 65 | | | 65 | ||
| | 125/96 | | | 125/96 | ||
| | | | | 125/96 | ||
| | | | | 125/96 | ||
| | | | | 13/10 | ||
|- | |- | ||
| | 66 | | | 66 | ||
| | ? | | | ? | ||
| | | | | 64/49 | ||
| | | | | 64/49 | ||
| | | | | 64/49 | ||
|- | |- | ||
| | 67 | | | 67 | ||
| | 4096/3125 | | | 4096/3125 | ||
| | | | | 21/16 | ||
| | | | | 21/16 | ||
| | | | | 21/16 | ||
|- | |- | ||
| | 68 | | | 68 | ||
| | 320/243 | | | 320/243 | ||
| | | | | 320/243 | ||
| | | | | 160/121 | ||
| | | | | 120/91 | ||
|- | |- | ||
| | 69 | | | 69 | ||
| | 78125/59049 | | | 78125/59049 | ||
| | | | | 250/189 | ||
| | | | | 33/25 | ||
| | | | | 33/25 | ||
|- | |- | ||
| | 70 | | | 70 | ||
| | 20736/15625 | | | 20736/15625 | ||
| | | | | 896/675 | ||
| | | | | 297/224 | ||
| | | | | 65/49 | ||
|- | |- | ||
| | 71 | | | 71 | ||
| | 4/3 | | | 4/3 | ||
| | | | | 4/3 | ||
| | | | | 4/3 | ||
| | | | | 4/3 | ||
|- | |- | ||
| | 72 | | | 72 | ||
| | 15625/11664 | | | 15625/11664 | ||
| | | | | 75/56 | ||
| | | | | 75/56 | ||
| | | | | 75/56 | ||
|- | |- | ||
| | 73 | | | 73 | ||
| | ? | | | ? | ||
| | | | | 168/125 | ||
| | | | | 168/125 | ||
| | | | | 35/26 | ||
|- | |- | ||
| | 74 | | | 74 | ||
| | 27/20 | | | 27/20 | ||
| | | | | 27/20 | ||
| | | | | 27/20 | ||
| | | | | 27/20 | ||
|- | |- | ||
| | 75 | | | 75 | ||
| | 3125/2304 | | | 3125/2304 | ||
| | | | | 256/189 | ||
| | | | | 224/165 | ||
| | | | | 65/48 | ||
|- | |- | ||
| | 76 | | | 76 | ||
| | ? | | | ? | ||
| | | | | 49/36 | ||
| | | | | 15/11 | ||
| | | | | 15/11 | ||
|- | |- | ||
| | 77 | | | 77 | ||
| | 512/375 | | | 512/375 | ||
| | | | | 175/128 | ||
| | | | | 175/128 | ||
| | | | | 143/105 | ||
|- | |- | ||
| | 78 | | | 78 | ||
| | 1000/729 | | | 1000/729 | ||
| | | | | 48/35 | ||
| | | | | 48/35 | ||
| | | | | 48/35 | ||
|- | |- | ||
| | 79 | | | 79 | ||
| | ? | | | ? | ||
| | | | | 135/98 | ||
| | | | | 11/8 | ||
| | | | | 11/8 | ||
|- | |- | ||
| | 80 | | | 80 | ||
| | 864/625 | | | 864/625 | ||
| | | | | 112/81 | ||
| | | | | 112/81 | ||
| | | | | 18/13 | ||
|- | |- | ||
| | 81 | | | 81 | ||
| | 25/18 | | | 25/18 | ||
| | | | | 25/18 | ||
| | | | | 25/18 | ||
| | | | | 25/18 | ||
|- | |- | ||
| | 82 | | | 82 | ||
| | ? | | | ? | ||
| | | | | 625/448 | ||
| | | | | 384/275 | ||
| | | | | 39/28 | ||
|- | |- | ||
| | 83 | | | 83 | ||
| | 4374/3125 | | | 4374/3125 | ||
| | | | | 7/5 | ||
| | | | | 7/5 | ||
| | | | | 7/5 | ||
|- | |- | ||
| | 84 | | | 84 | ||
| | 45/32 | | | 45/32 | ||
| | | | | 45/32 | ||
| | | | | 45/32 | ||
| | | | | 45/32 | ||
|- | |- | ||
| | 85 | | | 85 | ||
| | 78125/55296 | | | 78125/55296 | ||
| | | | | 343/243 | ||
| | | | | 140/99 | ||
| | | | | 55/39 | ||
|- | |- | ||
| | 86 | | | 86 | ||
| | ? | | | ? | ||
| | | | | 486/343 | ||
| | | | | 99/70 | ||
| | | | | 78/55 | ||
|- | |- | ||
| | 87 | | | 87 | ||
| | 64/45 | | | 64/45 | ||
| | | | | 64/45 | ||
| | | | | 64/45 | ||
| | | | | 64/45 | ||
|- | |- | ||
| | 88 | | | 88 | ||
| | 3125/2187 | | | 3125/2187 | ||
| | | | | 10/7 | ||
| | | | | 10/7 | ||
| | | | | 10/7 | ||
|- | |- | ||
| | 89 | | | 89 | ||
| | ? | | | ? | ||
| | | | | 735/512 | ||
| | | | | 275/192 | ||
| | | | | 56/39 | ||
|- | |- | ||
| | 90 | | | 90 | ||
| | 36/25 | | | 36/25 | ||
| | | | | 36/25 | ||
| | | | | 36/25 | ||
| | | | | 36/25 | ||
|- | |- | ||
| | 91 | | | 91 | ||
| | 625/432 | | | 625/432 | ||
| | | | | 81/56 | ||
| | | | | 81/56 | ||
| | | | | 13/9 | ||
|- | |- | ||
| | 92 | | | 92 | ||
| | ? | | | ? | ||
| | | | | 196/135 | ||
| | | | | 16/11 | ||
| | | | | 16/11 | ||
|- | |- | ||
| | 93 | | | 93 | ||
| | 729/500 | | | 729/500 | ||
| | | | | 35/24 | ||
| | | | | 35/24 | ||
| | | | | 35/24 | ||
|- | |- | ||
| | 94 | | | 94 | ||
| | 375/256 | | | 375/256 | ||
| | | | | 256/175 | ||
| | | | | 256/175 | ||
| | | | | 117/80 | ||
|- | |- | ||
| | 95 | | | 95 | ||
| | ? | | | ? | ||
| | | | | 72/49 | ||
| | | | | 22/15 | ||
| | | | | 22/15 | ||
|- | |- | ||
| | 96 | | | 96 | ||
| | 4608/3125 | | | 4608/3125 | ||
| | | | | 189/128 | ||
| | | | | 165/112 | ||
| | | | | 65/44 | ||
|- | |- | ||
| | 97 | | | 97 | ||
| | 40/27 | | | 40/27 | ||
| | | | | 40/27 | ||
| | | | | 40/27 | ||
| | | | | 40/27 | ||
|- | |- | ||
| | 98 | | | 98 | ||
| | 78125/52488 | | | 78125/52488 | ||
| | | | | 125/84 | ||
| | | | | 125/84 | ||
| | | | | 52/35 | ||
|- | |- | ||
| | 99 | | | 99 | ||
| | 23328/15625 | | | 23328/15625 | ||
| | | | | 112/75 | ||
| | | | | 112/75 | ||
| | | | | 112/75 | ||
|- | |- | ||
| | 100 | | | 100 | ||
| | 3/2 | | | 3/2 | ||
| | | | | 3/2 | ||
| | | | | 3/2 | ||
| | | | | 3/2 | ||
|- | |- | ||
| | 101 | | | 101 | ||
| | 15625/10368 | | | 15625/10368 | ||
| | | | | 675/448 | ||
| | | | | 385/256 | ||
| | | | | 98/65 | ||
|- | |- | ||
| | 102 | | | 102 | ||
| | ? | | | ? | ||
| | | | | 189/125 | ||
| | | | | 50/33 | ||
| | | | | 50/33 | ||
|- | |- | ||
| | 103 | | | 103 | ||
| | 243/160 | | | 243/160 | ||
| | | | | 243/160 | ||
| | | | | 121/80 | ||
| | | | | 91/60 | ||
|- | |- | ||
| | 104 | | | 104 | ||
| | 3125/2048 | | | 3125/2048 | ||
| | | | | 32/21 | ||
| | | | | 32/21 | ||
| | | | | 32/21 | ||
|- | |- | ||
| | 105 | | | 105 | ||
| | ? | | | ? | ||
| | | | | 49/32 | ||
| | | | | 49/32 | ||
| | | | | 49/32 | ||
|- | |- | ||
| | 106 | | | 106 | ||
| | 192/125 | | | 192/125 | ||
| | | | | 192/125 | ||
| | | | | 192/125 | ||
| | | | | 20/13 | ||
|- | |- | ||
| | 107 | | | 107 | ||
| | 125/81 | | | 125/81 | ||
| | | | | 54/35 | ||
| | | | | 54/35 | ||
| | | | | 54/35 | ||
|- | |- | ||
| | 108 | | | 108 | ||
| | ? | | | ? | ||
| | | | | 1215/784 | ||
| | | | | 99/64 | ||
| | | | | 65/42 | ||
|- | |- | ||
| | 109 | | | 109 | ||
| | 972/625 | | | 972/625 | ||
| | | | | 14/9 | ||
| | | | | 14/9 | ||
| | | | | 14/9 | ||
|- | |- | ||
| | 110 | | | 110 | ||
| | 25/16 | | | 25/16 | ||
| | | | | 25/16 | ||
| | | | | 25/16 | ||
| | | | | 25/16 | ||
|- | |- | ||
| | 111 | | | 111 | ||
| | ? | | | ? | ||
| | | | | 196/125 | ||
| | | | | 196/125 | ||
| | | | | 169/108 | ||
|- | |- | ||
| | 112 | | | 112 | ||
| | 19683/12500 | | | 19683/12500 | ||
| | | | | 63/40 | ||
| | | | | 11/7 | ||
| | | | | 11/7 | ||
|- | |- | ||
| | 113 | | | 113 | ||
| | 128/81 | | | 128/81 | ||
| | | | | 128/81 | ||
| | | | | 128/81 | ||
| | | | | 128/81 | ||
|- | |- | ||
| | 114 | | | 114 | ||
| | 31250/19683 | | | 31250/19683 | ||
| | | | | 100/63 | ||
| | | | | 35/22 | ||
| | | | | 35/22 | ||
|- | |- | ||
| | 115 | | | 115 | ||
| | ? | | | ? | ||
| | | | | 625/392 | ||
| | | | | 625/392 | ||
| | | | | 78/49 | ||
|- | |- | ||
| | 116 | | | 116 | ||
| | 8/5 | | | 8/5 | ||
| | | | | 8/5 | ||
| | | | | 8/5 | ||
| | | | | 8/5 | ||
|- | |- | ||
| | 117 | | | 117 | ||
| | 3125/1944 | | | 3125/1944 | ||
| | | | | 45/28 | ||
| | | | | 45/28 | ||
| | | | | 45/28 | ||
|- | |- | ||
| | 118 | | | 118 | ||
| | ? | | | ? | ||
| | | | | 392/243 | ||
| | | | | 160/99 | ||
| | | | | 21/13 | ||
|- | |- | ||
| | 119 | | | 119 | ||
| | 81/50 | | | 81/50 | ||
| | | | | 81/50 | ||
| | | | | 81/50 | ||
| | | | | 81/50 | ||
|- | |- | ||
| | 120 | | | 120 | ||
| | 625/384 | | | 625/384 | ||
| | | | | 512/315 | ||
| | | | | 363/224 | ||
| | | | | 13/8 | ||
|- | |- | ||
| | 121 | | | 121 | ||
| | ? | | | ? | ||
| | | | | 49/30 | ||
| | | | | 18/11 | ||
| | | | | 18/11 | ||
|- | |- | ||
| | 122 | | | 122 | ||
| | 1024/625 | | | 1024/625 | ||
| | | | | 105/64 | ||
| | | | | 105/64 | ||
| | | | | 64/39 | ||
|- | |- | ||
| | 123 | | | 123 | ||
| | 400/243 | | | 400/243 | ||
| | | | | 288/175 | ||
| | | | | 200/121 | ||
| | | | | 150/91 | ||
|- | |- | ||
| | 124 | | | 124 | ||
| | ? | | | ? | ||
| | | | | 81/49 | ||
| | | | | 33/20 | ||
| | | | | 33/20 | ||
|- | |- | ||
| | 125 | | | 125 | ||
| | 5184/3125 | | | 5184/3125 | ||
| | | | | 224/135 | ||
| | | | | 128/77 | ||
| | | | | 108/65 | ||
|- | |- | ||
| | 126 | | | 126 | ||
| | 5/3 | | | 5/3 | ||
| | | | | 5/3 | ||
| | | | | 5/3 | ||
| | | | | 5/3 | ||
|- | |- | ||
| | 127 | | | 127 | ||
| | 78125/46656 | | | 78125/46656 | ||
| | | | | 375/224 | ||
| | | | | 375/224 | ||
| | | | | 117/70 | ||
|- | |- | ||
| | 128 | | | 128 | ||
| | 26244/15625 | | | 26244/15625 | ||
| | | | | 42/25 | ||
| | | | | 42/25 | ||
| | | | | 42/25 | ||
|- | |- | ||
| | 129 | | | 129 | ||
| | 27/16 | | | 27/16 | ||
| | | | | 27/16 | ||
| | | | | 27/16 | ||
| | | | | 27/16 | ||
|- | |- | ||
| | 130 | | | 130 | ||
| | 15625/9216 | | | 15625/9216 | ||
| | | | | 320/189 | ||
| | | | | 56/33 | ||
| | | | | 22/13 | ||
|- | |- | ||
| | 131 | | | 131 | ||
| | ? | | | ? | ||
| | | | | 245/144 | ||
| | | | | 75/44 | ||
| | | | | 75/44 | ||
|- | |- | ||
| | 132 | | | 132 | ||
| | 128/75 | | | 128/75 | ||
| | | | | 128/75 | ||
| | | | | 128/75 | ||
| | | | | 128/75 | ||
|- | |- | ||
| | 133 | | | 133 | ||
| | 1250/729 | | | 1250/729 | ||
| | | | | 12/7 | ||
| | | | | 12/7 | ||
| | | | | 12/7 | ||
|- | |- | ||
| | 134 | | | 134 | ||
| | ? | | | ? | ||
| | | | | 441/256 | ||
| | | | | 55/32 | ||
| | | | | 55/32 | ||
|- | |- | ||
| | 135 | | | 135 | ||
| | 216/125 | | | 216/125 | ||
| | | | | 140/81 | ||
| | | | | 140/81 | ||
| | | | | 45/26 | ||
|- | |- | ||
| | 136 | | | 136 | ||
| | 125/72 | | | 125/72 | ||
| | | | | 125/72 | ||
| | | | | 121/70 | ||
| | | | | 26/15 | ||
|- | |- | ||
| | 137 | | | 137 | ||
| | ? | | | ? | ||
| | | | | 256/147 | ||
| | | | | 96/55 | ||
| | | | | 96/55 | ||
|- | |- | ||
| | 138 | | | 138 | ||
| | 2187/1250 | | | 2187/1250 | ||
| | | | | 7/4 | ||
| | | | | 7/4 | ||
| | | | | 7/4 | ||
|- | |- | ||
| | 139 | | | 139 | ||
| | 225/128 | | | 225/128 | ||
| | | | | 225/128 | ||
| | | | | 225/128 | ||
| | | | | 160/91 | ||
|- | |- | ||
| | 140 | | | 140 | ||
| | ? | | | ? | ||
| | | | | 432/245 | ||
| | | | | 44/25 | ||
| | | | | 44/25 | ||
|- | |- | ||
| | 141 | | | 141 | ||
| | 27648/15625 | | | 27648/15625 | ||
| | | | | 567/320 | ||
| | | | | 99/56 | ||
| | | | | 39/22 | ||
|- | |- | ||
| | 142 | | | 142 | ||
| | 16/9 | | | 16/9 | ||
| | | | | 16/9 | ||
| | | | | 16/9 | ||
| | | | | 16/9 | ||
|- | |- | ||
| | 143 | | | 143 | ||
| | 15625/8748 | | | 15625/8748 | ||
| | | | | 25/14 | ||
| | | | | 25/14 | ||
| | | | | 25/14 | ||
|- | |- | ||
| | 144 | | | 144 | ||
| | ? | | | ? | ||
| | | | | 224/125 | ||
| | | | | 224/125 | ||
| | | | | 70/39 | ||
|- | |- | ||
| | 145 | | | 145 | ||
| | 9/5 | | | 9/5 | ||
| | | | | 9/5 | ||
| | | | | 9/5 | ||
| | | | | 9/5 | ||
|- | |- | ||
| | 146 | | | 146 | ||
| | 3125/1728 | | | 3125/1728 | ||
| | | | | 405/224 | ||
| | | | | 231/128 | ||
| | | | | 65/36 | ||
|- | |- | ||
| | 147 | | | 147 | ||
| | ? | | | ? | ||
| | | | | 49/27 | ||
| | | | | 20/11 | ||
| | | | | 20/11 | ||
|- | |- | ||
| | 148 | | | 148 | ||
| | 729/400 | | | 729/400 | ||
| | | | | 175/96 | ||
| | | | | 175/96 | ||
| | | | | 91/50 | ||
|- | |- | ||
| | 149 | | | 149 | ||
| | 1875/1024 | | | 1875/1024 | ||
| | | | | 64/35 | ||
| | | | | 64/35 | ||
| | | | | 64/35 | ||
|- | |- | ||
| | 150 | | | 150 | ||
| | ? | | | ? | ||
| | | | | 90/49 | ||
| | | | | 11/6 | ||
| | | | | 11/6 | ||
|- | |- | ||
| | 151 | | | 151 | ||
| | 1152/625 | | | 1152/625 | ||
| | | | | 448/243 | ||
| | | | | 224/121 | ||
| | | | | 24/13 | ||
|- | |- | ||
| | 152 | | | 152 | ||
| | 50/27 | | | 50/27 | ||
| | | | | 50/27 | ||
| | | | | 50/27 | ||
| | | | | 50/27 | ||
|- | |- | ||
| | 153 | | | 153 | ||
| | ? | | | ? | ||
| | | | | 625/336 | ||
| | | | | 297/160 | ||
| | | | | 13/7 | ||
|- | |- | ||
| | 154 | | | 154 | ||
| | 5832/3125 | | | 5832/3125 | ||
| | | | | 28/15 | ||
| | | | | 28/15 | ||
| | | | | 28/15 | ||
|- | |- | ||
| | 155 | | | 155 | ||
| | 15/8 | | | 15/8 | ||
| | | | | 15/8 | ||
| | | | | 15/8 | ||
| | | | | 15/8 | ||
|- | |- | ||
| | 156 | | | 156 | ||
| | 78125/41472 | | | 78125/41472 | ||
| | | | | 1176/625 | ||
| | | | | 560/297 | ||
| | | | | 49/26 | ||
|- | |- | ||
| | 157 | | | 157 | ||
| | 59049/31250 | | | 59049/31250 | ||
| | | | | 189/100 | ||
| | | | | 66/35 | ||
| | | | | 66/35 | ||
|- | |- | ||
| | 158 | | | 158 | ||
| | 243/128 | | | 243/128 | ||
| | | | | 243/128 | ||
| | | | | 121/64 | ||
| | | | | 91/48 | ||
|- | |- | ||
| | 159 | | | 159 | ||
| | 12500/6561 | | | 12500/6561 | ||
| | | | | 40/21 | ||
| | | | | 21/11 | ||
| | | | | 21/11 | ||
|- | |- | ||
| | 160 | | | 160 | ||
| | ? | | | ? | ||
| | | | | 245/128 | ||
| | | | | 245/128 | ||
| | | | | 143/75 | ||
|- | |- | ||
| | 161 | | | 161 | ||
| | 48/25 | | | 48/25 | ||
| | | | | 48/25 | ||
| | | | | 48/25 | ||
| | | | | 25/13 | ||
|- | |- | ||
| | 162 | | | 162 | ||
| | 625/324 | | | 625/324 | ||
| | | | | 27/14 | ||
| | | | | 27/14 | ||
| | | | | 27/14 | ||
|- | |- | ||
| | 163 | | | 163 | ||
| | ? | | | ? | ||
| | | | | 784/405 | ||
| | | | | 64/33 | ||
| | | | | 64/33 | ||
|- | |- | ||
| | 164 | | | 164 | ||
| | 243/125 | | | 243/125 | ||
| | | | | 35/18 | ||
| | | | | 35/18 | ||
| | | | | 35/18 | ||
|- | |- | ||
| | 165 | | | 165 | ||
| | 125/64 | | | 125/64 | ||
| | | | | 125/64 | ||
| | | | | 125/64 | ||
| | | | | 39/20 | ||
|- | |- | ||
| | 166 | | | 166 | ||
| | ? | | | ? | ||
| | | | | 49/25 | ||
| | | | | 49/25 | ||
| | | | | 49/25 | ||
|- | |- | ||
| | 167 | | | 167 | ||
| | 6144/3125 | | | 6144/3125 | ||
| | | | | 63/32 | ||
| | | | | 55/28 | ||
| | | | | 55/28 | ||
|- | |- | ||
| | 168 | | | 168 | ||
| | 160/81 | | | 160/81 | ||
| | | | | 160/81 | ||
| | | | | 160/81 | ||
| | | | | 77/39 | ||
|- | |- | ||
| | 169 | | | 169 | ||
| | 78125/39366 | | | 78125/39366 | ||
| | | | | 125/63 | ||
| | | | | 99/50 | ||
| | | | | 99/50 | ||
|- | |- | ||
| | 170 | | | 170 | ||
| | 31104/15625 | | | 31104/15625 | ||
| | | | | 448/225 | ||
| | | | | 448/225 | ||
| | | | | 143/72 | ||
|- | |- | ||
| | 171 | | | 171 | ||
| | 2/1 | | | 2/1 | ||
| | | | | 2/1 | ||
| | | | | 2/1 | ||
| | | | | 2/1 | ||
|} | |} | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
Revision as of 18:31, 26 September 2018
| Step | Five limit | Seven limit | Eleven limit | Thirteen limit |
| 1 | 15625/15552 | 225/224 | 225/224 | 144/143 |
| 2 | 78732/78125 | 126/125 | 100/99 | 100/99 |
| 3 | 81/80 | 81/80 | 81/80 | 78/77 |
| 4 | 3125/3072 | 64/63 | 56/55 | 56/55 |
| 5 | ? | 49/48 | 45/44 | 45/44 |
| 6 | 128/125 | 128/125 | 128/125 | 40/39 |
| 7 | 250/243 | 36/35 | 36/35 | 36/35 |
| 8 | ? | 405/392 | 33/32 | 33/32 |
| 9 | 648/625 | 28/27 | 28/27 | 27/26 |
| 10 | 25/24 | 25/24 | 25/24 | 25/24 |
| 11 | ? | 256/245 | 256/245 | 117/112 |
| 12 | 6561/6250 | 21/20 | 21/20 | 21/20 |
| 13 | 135/128 | 135/128 | 128/121 | 96/91 |
| 14 | 62500/59049 | 200/189 | 35/33 | 35/33 |
| 15 | 82944/78125 | 625/588 | 297/280 | 52/49 |
| 16 | 16/15 | 16/15 | 16/15 | 16/15 |
| 17 | 3125/2916 | 15/14 | 15/14 | 15/14 |
| 18 | ? | 672/625 | 275/256 | 14/13 |
| 19 | 27/25 | 27/25 | 27/25 | 27/25 |
| 20 | 625/576 | 243/224 | 121/112 | 13/12 |
| 21 | ? | 49/45 | 12/11 | 12/11 |
| 22 | 2048/1875 | 35/32 | 35/32 | 35/32 |
| 23 | 800/729 | 192/175 | 192/175 | 100/91 |
| 24 | ? | 54/49 | 11/10 | 11/10 |
| 25 | 3456/3125 | 448/405 | 256/231 | 72/65 |
| 26 | 10/9 | 10/9 | 10/9 | 10/9 |
| 27 | 78125/69984 | 125/112 | 125/112 | 39/35 |
| 28 | 17496/15625 | 28/25 | 28/25 | 28/25 |
| 29 | 9/8 | 9/8 | 9/8 | 9/8 |
| 30 | 15625/13824 | 640/567 | 112/99 | 44/39 |
| 31 | ? | 245/216 | 25/22 | 25/22 |
| 32 | 256/225 | 256/225 | 256/225 | 91/80 |
| 33 | 2500/2187 | 8/7 | 8/7 | 8/7 |
| 34 | ? | 147/128 | 55/48 | 55/48 |
| 35 | 144/125 | 144/125 | 140/121 | 15/13 |
| 36 | 125/108 | 81/70 | 81/70 | 52/45 |
| 37 | ? | 512/441 | 64/55 | 64/55 |
| 38 | 729/625 | 7/6 | 7/6 | 7/6 |
| 39 | 75/64 | 75/64 | 75/64 | 75/64 |
| 40 | ? | 147/125 | 88/75 | 88/75 |
| 41 | 18432/15625 | 189/160 | 33/28 | 13/11 |
| 42 | 32/27 | 32/27 | 32/27 | 32/27 |
| 43 | 15625/13122 | 25/21 | 25/21 | 25/21 |
| 44 | 93312/78125 | 448/375 | 448/375 | 117/98 |
| 45 | 6/5 | 6/5 | 6/5 | 6/5 |
| 46 | 3125/2592 | 135/112 | 77/64 | 65/54 |
| 47 | ? | 98/81 | 40/33 | 40/33 |
| 48 | 243/200 | 175/144 | 121/100 | 91/75 |
| 49 | 625/512 | 128/105 | 128/105 | 39/32 |
| 50 | ? | 49/40 | 11/9 | 11/9 |
| 51 | 768/625 | 315/256 | 275/224 | 16/13 |
| 52 | 100/81 | 100/81 | 100/81 | 100/81 |
| 53 | ? | 243/196 | 99/80 | 26/21 |
| 54 | 3888/3125 | 56/45 | 56/45 | 56/45 |
| 55 | 5/4 | 5/4 | 5/4 | 5/4 |
| 56 | 78125/62208 | 784/625 | 784/625 | 49/39 |
| 57 | 19683/15625 | 63/50 | 44/35 | 44/35 |
| 58 | 81/64 | 81/64 | 81/64 | 81/64 |
| 59 | 15625/12288 | 80/63 | 14/11 | 14/11 |
| 60 | ? | 125/98 | 125/98 | 125/98 |
| 61 | 32/25 | 32/25 | 32/25 | 32/25 |
| 62 | 625/486 | 9/7 | 9/7 | 9/7 |
| 63 | ? | 1323/1024 | 128/99 | 84/65 |
| 64 | 162/125 | 35/27 | 35/27 | 35/27 |
| 65 | 125/96 | 125/96 | 125/96 | 13/10 |
| 66 | ? | 64/49 | 64/49 | 64/49 |
| 67 | 4096/3125 | 21/16 | 21/16 | 21/16 |
| 68 | 320/243 | 320/243 | 160/121 | 120/91 |
| 69 | 78125/59049 | 250/189 | 33/25 | 33/25 |
| 70 | 20736/15625 | 896/675 | 297/224 | 65/49 |
| 71 | 4/3 | 4/3 | 4/3 | 4/3 |
| 72 | 15625/11664 | 75/56 | 75/56 | 75/56 |
| 73 | ? | 168/125 | 168/125 | 35/26 |
| 74 | 27/20 | 27/20 | 27/20 | 27/20 |
| 75 | 3125/2304 | 256/189 | 224/165 | 65/48 |
| 76 | ? | 49/36 | 15/11 | 15/11 |
| 77 | 512/375 | 175/128 | 175/128 | 143/105 |
| 78 | 1000/729 | 48/35 | 48/35 | 48/35 |
| 79 | ? | 135/98 | 11/8 | 11/8 |
| 80 | 864/625 | 112/81 | 112/81 | 18/13 |
| 81 | 25/18 | 25/18 | 25/18 | 25/18 |
| 82 | ? | 625/448 | 384/275 | 39/28 |
| 83 | 4374/3125 | 7/5 | 7/5 | 7/5 |
| 84 | 45/32 | 45/32 | 45/32 | 45/32 |
| 85 | 78125/55296 | 343/243 | 140/99 | 55/39 |
| 86 | ? | 486/343 | 99/70 | 78/55 |
| 87 | 64/45 | 64/45 | 64/45 | 64/45 |
| 88 | 3125/2187 | 10/7 | 10/7 | 10/7 |
| 89 | ? | 735/512 | 275/192 | 56/39 |
| 90 | 36/25 | 36/25 | 36/25 | 36/25 |
| 91 | 625/432 | 81/56 | 81/56 | 13/9 |
| 92 | ? | 196/135 | 16/11 | 16/11 |
| 93 | 729/500 | 35/24 | 35/24 | 35/24 |
| 94 | 375/256 | 256/175 | 256/175 | 117/80 |
| 95 | ? | 72/49 | 22/15 | 22/15 |
| 96 | 4608/3125 | 189/128 | 165/112 | 65/44 |
| 97 | 40/27 | 40/27 | 40/27 | 40/27 |
| 98 | 78125/52488 | 125/84 | 125/84 | 52/35 |
| 99 | 23328/15625 | 112/75 | 112/75 | 112/75 |
| 100 | 3/2 | 3/2 | 3/2 | 3/2 |
| 101 | 15625/10368 | 675/448 | 385/256 | 98/65 |
| 102 | ? | 189/125 | 50/33 | 50/33 |
| 103 | 243/160 | 243/160 | 121/80 | 91/60 |
| 104 | 3125/2048 | 32/21 | 32/21 | 32/21 |
| 105 | ? | 49/32 | 49/32 | 49/32 |
| 106 | 192/125 | 192/125 | 192/125 | 20/13 |
| 107 | 125/81 | 54/35 | 54/35 | 54/35 |
| 108 | ? | 1215/784 | 99/64 | 65/42 |
| 109 | 972/625 | 14/9 | 14/9 | 14/9 |
| 110 | 25/16 | 25/16 | 25/16 | 25/16 |
| 111 | ? | 196/125 | 196/125 | 169/108 |
| 112 | 19683/12500 | 63/40 | 11/7 | 11/7 |
| 113 | 128/81 | 128/81 | 128/81 | 128/81 |
| 114 | 31250/19683 | 100/63 | 35/22 | 35/22 |
| 115 | ? | 625/392 | 625/392 | 78/49 |
| 116 | 8/5 | 8/5 | 8/5 | 8/5 |
| 117 | 3125/1944 | 45/28 | 45/28 | 45/28 |
| 118 | ? | 392/243 | 160/99 | 21/13 |
| 119 | 81/50 | 81/50 | 81/50 | 81/50 |
| 120 | 625/384 | 512/315 | 363/224 | 13/8 |
| 121 | ? | 49/30 | 18/11 | 18/11 |
| 122 | 1024/625 | 105/64 | 105/64 | 64/39 |
| 123 | 400/243 | 288/175 | 200/121 | 150/91 |
| 124 | ? | 81/49 | 33/20 | 33/20 |
| 125 | 5184/3125 | 224/135 | 128/77 | 108/65 |
| 126 | 5/3 | 5/3 | 5/3 | 5/3 |
| 127 | 78125/46656 | 375/224 | 375/224 | 117/70 |
| 128 | 26244/15625 | 42/25 | 42/25 | 42/25 |
| 129 | 27/16 | 27/16 | 27/16 | 27/16 |
| 130 | 15625/9216 | 320/189 | 56/33 | 22/13 |
| 131 | ? | 245/144 | 75/44 | 75/44 |
| 132 | 128/75 | 128/75 | 128/75 | 128/75 |
| 133 | 1250/729 | 12/7 | 12/7 | 12/7 |
| 134 | ? | 441/256 | 55/32 | 55/32 |
| 135 | 216/125 | 140/81 | 140/81 | 45/26 |
| 136 | 125/72 | 125/72 | 121/70 | 26/15 |
| 137 | ? | 256/147 | 96/55 | 96/55 |
| 138 | 2187/1250 | 7/4 | 7/4 | 7/4 |
| 139 | 225/128 | 225/128 | 225/128 | 160/91 |
| 140 | ? | 432/245 | 44/25 | 44/25 |
| 141 | 27648/15625 | 567/320 | 99/56 | 39/22 |
| 142 | 16/9 | 16/9 | 16/9 | 16/9 |
| 143 | 15625/8748 | 25/14 | 25/14 | 25/14 |
| 144 | ? | 224/125 | 224/125 | 70/39 |
| 145 | 9/5 | 9/5 | 9/5 | 9/5 |
| 146 | 3125/1728 | 405/224 | 231/128 | 65/36 |
| 147 | ? | 49/27 | 20/11 | 20/11 |
| 148 | 729/400 | 175/96 | 175/96 | 91/50 |
| 149 | 1875/1024 | 64/35 | 64/35 | 64/35 |
| 150 | ? | 90/49 | 11/6 | 11/6 |
| 151 | 1152/625 | 448/243 | 224/121 | 24/13 |
| 152 | 50/27 | 50/27 | 50/27 | 50/27 |
| 153 | ? | 625/336 | 297/160 | 13/7 |
| 154 | 5832/3125 | 28/15 | 28/15 | 28/15 |
| 155 | 15/8 | 15/8 | 15/8 | 15/8 |
| 156 | 78125/41472 | 1176/625 | 560/297 | 49/26 |
| 157 | 59049/31250 | 189/100 | 66/35 | 66/35 |
| 158 | 243/128 | 243/128 | 121/64 | 91/48 |
| 159 | 12500/6561 | 40/21 | 21/11 | 21/11 |
| 160 | ? | 245/128 | 245/128 | 143/75 |
| 161 | 48/25 | 48/25 | 48/25 | 25/13 |
| 162 | 625/324 | 27/14 | 27/14 | 27/14 |
| 163 | ? | 784/405 | 64/33 | 64/33 |
| 164 | 243/125 | 35/18 | 35/18 | 35/18 |
| 165 | 125/64 | 125/64 | 125/64 | 39/20 |
| 166 | ? | 49/25 | 49/25 | 49/25 |
| 167 | 6144/3125 | 63/32 | 55/28 | 55/28 |
| 168 | 160/81 | 160/81 | 160/81 | 77/39 |
| 169 | 78125/39366 | 125/63 | 99/50 | 99/50 |
| 170 | 31104/15625 | 448/225 | 448/225 | 143/72 |
| 171 | 2/1 | 2/1 | 2/1 | 2/1 |