User:Overthink/Table of 205edo intervals: Difference between revisions
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| Line 17: | Line 17: | ||
| 1 | | 1 | ||
| 5.85 | | 5.85 | ||
| | | ''[[32805/32768]]'' | ||
| [[225/224]] | | [[225/224]] | ||
| | | | ||
| Line 27: | Line 27: | ||
| | | | ||
| | | | ||
| | | [[121/120]] | ||
| | | [[144/143]], [[169/168]], [[196/195]] | ||
| | | | ||
|- | |- | ||
| 3 | | 3 | ||
| 17.56 | | 17.56 | ||
| [[2048/2025]] | |||
| | | | ||
| [[100/99]] | |||
| | | | ||
| | | ''[[85/84]]'' | ||
|- | |- | ||
| 4 | | 4 | ||
| 23.41 | | 23.41 | ||
| [[81/80]] | | [[81/80]] | ||
| [[64/63]] | | ''[[64/63]]'' | ||
| | | | ||
| ''[[66/65]]'', [[78/77]] | |||
| | | | ||
|- | |- | ||
| 5 | | 5 | ||
| 29.27 | | 29.27 | ||
| | | [[3125/3072]] | ||
| | | ''[[50/49]]'' | ||
| | | [[55/54]] | ||
| | | [[65/64]] | ||
| | | | ||
|- | |- | ||
| Line 65: | Line 65: | ||
| 7 | | 7 | ||
| 40.98 | | 40.98 | ||
| | | [[128/125]] | ||
| | | ''[[49/48]]'' | ||
| | | [[45/44]] | ||
| | | | ||
| | | | ||
| Line 74: | Line 74: | ||
| 46.83 | | 46.83 | ||
| | | | ||
| | | [[36/35]] | ||
| | | | ||
| | | | ||
| Line 83: | Line 83: | ||
| | | | ||
| | | | ||
| | | [[33/32]] | ||
| | | | ||
| | | | ||
| Line 98: | Line 98: | ||
| 64.39 | | 64.39 | ||
| | | | ||
| | | [[28/27]] | ||
| | | | ||
| | | | ||
| Line 105: | Line 105: | ||
| 12 | | 12 | ||
| 70.24 | | 70.24 | ||
| | | [[25/24]] | ||
| | | | ||
| | | | ||
| Line 129: | Line 129: | ||
| 15 | | 15 | ||
| 87.80 | | 87.80 | ||
| | | [[256/243]] | ||
| ''[[21/20]]'' | | ''[[21/20]]'' | ||
| | | | ||
| Line 348: | Line 348: | ||
| | | | ||
| | | | ||
| | | [[15/13]] | ||
| | | | ||
|- | |- | ||
| Line 356: | Line 356: | ||
| | | | ||
| | | | ||
| | | [[52/45]] | ||
| | | | ||
|- | |- | ||
| Line 377: | Line 377: | ||
| 46 | | 46 | ||
| 269.27 | | 269.27 | ||
| | | [[7/6]] | ||
| | | | ||
| | | | ||
| Line 395: | Line 395: | ||
| | | | ||
| | | | ||
| ''[[33/28]]'' | |||
| | | | ||
| | | [[20/17]] | ||
|- | |- | ||
| 49 | | 49 | ||
| Line 409: | Line 409: | ||
| 50 | | 50 | ||
| 292.68 | | 292.68 | ||
| [[32/27]] | |||
| | | | ||
| | | | ||
| | | ''[[13/11]]'' | ||
| | | | ||
|- | |- | ||
| Line 421: | Line 421: | ||
| | | | ||
| | | | ||
| | | [[19/16]] | ||
|- | |- | ||
| 52 | | 52 | ||
| Line 441: | Line 441: | ||
| 54 | | 54 | ||
| 316.10 | | 316.10 | ||
| | | [[6/5]] | ||
| | | | ||
| | | | ||
| Line 450: | Line 450: | ||
| 321.95 | | 321.95 | ||
| | | | ||
| | | [[135/112]] | ||
| | | [[77/64]] | ||
| | | | ||
| | | | ||
| Line 467: | Line 467: | ||
| | | | ||
| | | | ||
| | | [[40/33]] | ||
| | | [[63/52]] | ||
| | | [[17/14]] | ||
|- | |- | ||
| 58 | | 58 | ||
| Line 483: | Line 483: | ||
| | | | ||
| | | | ||
| | | [[11/9]] | ||
| | | [[39/32]] | ||
| | | | ||
|- | |- | ||
| Line 499: | Line 499: | ||
| | | | ||
| | | | ||
| | | [[27/22]] | ||
| | | [[16/13]] | ||
| | | | ||
|- | |- | ||
| Line 515: | Line 515: | ||
| | | | ||
| | | | ||
| | | [[99/80]] | ||
| | | [[26/21]] | ||
| | | [[21/17]] | ||
|- | |- | ||
| 64 | | 64 | ||
| Line 530: | Line 530: | ||
| 380.49 | | 380.49 | ||
| | | | ||
| | | [[56/45]] | ||
| | | [[96/77]] | ||
| | | | ||
| | | | ||
| Line 537: | Line 537: | ||
| 66 | | 66 | ||
| 386.34 | | 386.34 | ||
| | | [[5/4]] | ||
| | | | ||
| | | | ||
| Line 547: | Line 547: | ||
| | | | ||
| | | | ||
| | | ''[[44/35]]'' | ||
| | | | ||
| | | | ||
| Line 557: | Line 557: | ||
| | | | ||
| | | | ||
| | | [[34/27]] | ||
|- | |- | ||
| 69 | | 69 | ||
| Line 565: | Line 565: | ||
| | | | ||
| | | | ||
| | | [[24/19]] | ||
|- | |- | ||
| 70 | | 70 | ||
| 409.76 | | 409.76 | ||
| [[81/64]] | |||
| ''[[80/63]]'' | |||
| | | | ||
| | | ''[[33/26]]'' | ||
| | | | ||
|- | |- | ||
| Line 587: | Line 587: | ||
| | | | ||
| | | | ||
| | | ''[[14/11]]'' | ||
| | | | ||
| | | | ||
| Line 602: | Line 602: | ||
| 433.17 | | 433.17 | ||
| | | | ||
| | | [[9/7]] | ||
| | | | ||
| | | | ||
| Line 636: | Line 636: | ||
| | | | ||
| | | | ||
| | | [[13/10]] | ||
| | | | ||
|- | |- | ||
| Line 658: | Line 658: | ||
| 474.15 | | 474.15 | ||
| | | | ||
| | | ''[[21/16]]'' | ||
| | | | ||
| | | | ||
| Line 689: | Line 689: | ||
| 85 | | 85 | ||
| 497.56 | | 497.56 | ||
| | | [[4/3]] | ||
| | | | ||
| | | | ||
| Line 721: | Line 721: | ||
| 89 | | 89 | ||
| 520.98 | | 520.98 | ||
| | | [[27/20]] | ||
| | | | ||
| | | | ||
| Line 747: | Line 747: | ||
| | | | ||
| | | | ||
| | | [[15/11]] | ||
| | | | ||
| | | | ||
| Line 763: | Line 763: | ||
| | | | ||
| | | | ||
| | | [[11/8]] | ||
| | | | ||
| | | | ||
| Line 780: | Line 780: | ||
| | | | ||
| | | | ||
| | | [[18/13]] | ||
| | | | ||
|- | |- | ||
| Line 796: | Line 796: | ||
| | | | ||
| | | | ||
| | | [[39/28]] | ||
| | | | ||
|- | |- | ||
| Line 809: | Line 809: | ||
| 100 | | 100 | ||
| 585.37 | | 585.37 | ||
| [[1024/729]] | |||
| | | | ||
| | | [[7/5]] | ||
| | | | ||
| | | | ||
| Line 821: | Line 821: | ||
| | | | ||
| | | | ||
| | | [[38/27]] | ||
|- | |- | ||
| 102 | | 102 | ||
| Line 829: | Line 829: | ||
| | | | ||
| | | | ||
| | | [[24/17]] | ||
|- | |- | ||
| 103 | | 103 | ||
| Line 837: | Line 837: | ||
| | | | ||
| | | | ||
| | | [[17/12]] | ||
|- | |- | ||
| 104 | | 104 | ||
| Line 845: | Line 845: | ||
| | | | ||
| | | | ||
| | | [[27/19]] | ||
|- | |- | ||
| 105 | | 105 | ||
| 614.63 | | 614.63 | ||
| [[729/512]] | |||
| | | | ||
| | | [[10/7]] | ||
| | | | ||
| | | | ||
| Line 937: | Line 937: | ||
| 116 | | 116 | ||
| 679.02 | | 679.02 | ||
| | | [[40/27]] | ||
| | | | ||
| | | | ||
| Line 969: | Line 969: | ||
| 120 | | 120 | ||
| 702.44 | | 702.44 | ||
| | | [[3/2]] | ||
| | | | ||
| | | | ||
| Line 1,002: | Line 1,002: | ||
| 725.85 | | 725.85 | ||
| | | | ||
| | | ''[[32/21]]'' | ||
| | | | ||
| | | | ||
Revision as of 22:07, 8 April 2026
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This table assumes the 19-limit patent val of 205edo.
| # | Cents | 5-limit | 7-limit | 11-limit | 13-limit | Higher limits |
|---|---|---|---|---|---|---|
| 0 | 0.00 | 1/1 | ||||
| 1 | 5.85 | 32805/32768 | 225/224 | |||
| 2 | 11.71 | 121/120 | 144/143, 169/168, 196/195 | |||
| 3 | 17.56 | 2048/2025 | 100/99 | 85/84 | ||
| 4 | 23.41 | 81/80 | 64/63 | 66/65, 78/77 | ||
| 5 | 29.27 | 3125/3072 | 50/49 | 55/54 | 65/64 | |
| 6 | 35.12 | |||||
| 7 | 40.98 | 128/125 | 49/48 | 45/44 | ||
| 8 | 46.83 | 36/35 | ||||
| 9 | 52.68 | 33/32 | ||||
| 10 | 58.54 | |||||
| 11 | 64.39 | 28/27 | ||||
| 12 | 70.24 | 25/24 | ||||
| 13 | 76.10 | 22/21 | ||||
| 14 | 81.95 | |||||
| 15 | 87.80 | 256/243 | 21/20 | 20/19 | ||
| 16 | 93.66 | 19/18 | ||||
| 17 | 99.51 | 18/17 | ||||
| 18 | 105.37 | 17/16 | ||||
| 19 | 111.22 | 16/15 | ||||
| 20 | 117.07 | 15/14 | ||||
| 21 | 122.93 | |||||
| 22 | 128.78 | 14/13 | ||||
| 23 | 134.63 | 27/25 | ||||
| 24 | 140.49 | 13/12 | ||||
| 25 | 146.34 | |||||
| 26 | 152.20 | 12/11 | ||||
| 27 | 158.05 | |||||
| 28 | 163.90 | 11/10 | ||||
| 29 | 169.76 | |||||
| 30 | 175.61 | 21/19 | ||||
| 31 | 181.46 | 10/9 | ||||
| 32 | 187.32 | |||||
| 33 | 193.17 | 19/17 | ||||
| 34 | 199.02 | |||||
| 35 | 204.88 | 9/8 | ||||
| 36 | 210.73 | |||||
| 37 | 216.59 | 17/15 | ||||
| 38 | 222.44 | |||||
| 39 | 228.29 | 8/7 | ||||
| 40 | 234.15 | |||||
| 41 | 240.00 | |||||
| 42 | 245.85 | 15/13 | ||||
| 43 | 251.71 | 52/45 | ||||
| 44 | 257.56 | |||||
| 45 | 263.41 | |||||
| 46 | 269.27 | 7/6 | ||||
| 47 | 275.12 | |||||
| 48 | 280.98 | 33/28 | 20/17 | |||
| 49 | 286.83 | |||||
| 50 | 292.68 | 32/27 | 13/11 | |||
| 51 | 298.54 | 19/16 | ||||
| 52 | 304.39 | |||||
| 53 | 310.24 | |||||
| 54 | 316.10 | 6/5 | ||||
| 55 | 321.95 | 135/112 | 77/64 | |||
| 56 | 327.80 | |||||
| 57 | 333.66 | 40/33 | 63/52 | 17/14 | ||
| 58 | 339.51 | |||||
| 59 | 345.37 | 11/9 | 39/32 | |||
| 60 | 351.22 | |||||
| 61 | 357.07 | 27/22 | 16/13 | |||
| 62 | 362.93 | |||||
| 63 | 368.78 | 99/80 | 26/21 | 21/17 | ||
| 64 | 374.63 | |||||
| 65 | 380.49 | 56/45 | 96/77 | |||
| 66 | 386.34 | 5/4 | ||||
| 67 | 392.20 | 44/35 | ||||
| 68 | 398.05 | 34/27 | ||||
| 69 | 403.90 | 24/19 | ||||
| 70 | 409.76 | 81/64 | 80/63 | 33/26 | ||
| 71 | 415.61 | |||||
| 72 | 421.46 | 14/11 | ||||
| 73 | 427.32 | |||||
| 74 | 433.17 | 9/7 | ||||
| 75 | 439.02 | |||||
| 76 | 444.88 | |||||
| 77 | 450.73 | |||||
| 78 | 456.59 | 13/10 | ||||
| 79 | 462.44 | |||||
| 80 | 468.29 | |||||
| 81 | 474.15 | 21/16 | ||||
| 82 | 480.00 | |||||
| 83 | 485.85 | |||||
| 84 | 491.71 | |||||
| 85 | 497.56 | 4/3 | ||||
| 86 | 503.41 | |||||
| 87 | 509.27 | |||||
| 88 | 515.12 | |||||
| 89 | 520.98 | 27/20 | ||||
| 90 | 526.83 | |||||
| 91 | 532.68 | |||||
| 92 | 538.54 | 15/11 | ||||
| 93 | 544.39 | |||||
| 94 | 550.24 | 11/8 | ||||
| 95 | 556.10 | |||||
| 96 | 561.95 | 18/13 | ||||
| 97 | 567.80 | |||||
| 98 | 573.66 | 39/28 | ||||
| 99 | 579.51 | |||||
| 100 | 585.37 | 1024/729 | 7/5 | |||
| 101 | 591.22 | 38/27 | ||||
| 102 | 597.07 | 24/17 | ||||
| 103 | 602.93 | 17/12 | ||||
| 104 | 608.78 | 27/19 | ||||
| 105 | 614.63 | 729/512 | 10/7 | |||
| 106 | 620.49 | |||||
| 107 | 626.34 | |||||
| 108 | 632.20 | |||||
| 109 | 638.05 | |||||
| 110 | 643.90 | |||||
| 111 | 649.76 | |||||
| 112 | 655.61 | |||||
| 113 | 661.46 | |||||
| 114 | 667.32 | |||||
| 115 | 673.17 | |||||
| 116 | 679.02 | 40/27 | ||||
| 117 | 684.88 | |||||
| 118 | 690.73 | |||||
| 119 | 696.59 | |||||
| 120 | 702.44 | 3/2 | ||||
| 121 | 708.29 | |||||
| 122 | 714.15 | |||||
| 123 | 720.00 | |||||
| 124 | 725.85 | 32/21 | ||||
| 125 | 731.71 | |||||
| 126 | 737.56 | |||||
| 127 | 743.41 | |||||
| 128 | 749.27 | |||||
| 129 | 755.12 | |||||
| 130 | 760.98 | |||||
| 131 | 766.83 | |||||
| 132 | 772.68 | |||||
| 133 | 778.54 | |||||
| 134 | 784.39 | |||||
| 135 | 790.24 | |||||
| 136 | 796.10 | |||||
| 137 | 801.95 | |||||
| 138 | 807.80 | |||||
| 139 | 813.66 | |||||
| 140 | 819.51 | |||||
| 141 | 825.37 | |||||
| 142 | 831.22 | |||||
| 143 | 837.07 | |||||
| 144 | 842.93 | |||||
| 145 | 848.78 | |||||
| 146 | 854.63 | |||||
| 147 | 860.49 | |||||
| 148 | 866.34 | |||||
| 149 | 872.20 | |||||
| 150 | 878.05 | |||||
| 151 | 883.90 | |||||
| 152 | 889.76 | |||||
| 153 | 895.61 | |||||
| 154 | 901.46 | |||||
| 155 | 907.32 | |||||
| 156 | 913.17 | |||||
| 157 | 919.02 | |||||
| 158 | 924.88 | |||||
| 159 | 930.73 | |||||
| 160 | 936.59 | |||||
| 161 | 942.44 | |||||
| 162 | 948.29 | |||||
| 163 | 954.15 | |||||
| 164 | 960.00 | |||||
| 165 | 965.85 | |||||
| 166 | 971.71 | |||||
| 167 | 977.56 | |||||
| 168 | 983.41 | |||||
| 169 | 989.27 | |||||
| 170 | 995.12 | |||||
| 171 | 1000.98 | |||||
| 172 | 1006.83 | |||||
| 173 | 1012.68 | |||||
| 174 | 1018.54 | |||||
| 175 | 1024.39 | |||||
| 176 | 1030.24 | |||||
| 177 | 1036.10 | |||||
| 178 | 1041.95 | |||||
| 179 | 1047.80 | |||||
| 180 | 1053.66 | |||||
| 181 | 1059.51 | |||||
| 182 | 1065.37 | |||||
| 183 | 1071.22 | |||||
| 184 | 1077.07 | |||||
| 185 | 1082.93 | |||||
| 186 | 1088.78 | |||||
| 187 | 1094.63 | |||||
| 188 | 1100.49 | |||||
| 189 | 1106.34 | |||||
| 190 | 1112.20 | |||||
| 191 | 1118.05 | |||||
| 192 | 1123.90 | |||||
| 193 | 1129.76 | |||||
| 194 | 1135.61 | |||||
| 195 | 1141.46 | |||||
| 196 | 1147.32 | |||||
| 197 | 1153.17 | |||||
| 198 | 1159.02 | |||||
| 199 | 1164.88 | |||||
| 200 | 1170.73 | |||||
| 201 | 1176.59 | |||||
| 202 | 1182.44 | |||||
| 203 | 1188.29 | |||||
| 204 | 1194.15 | |||||
| 205 | 1200.00 | 2/1 | ||||