Table of 198edo intervals: Difference between revisions
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Line 55: | Line 55: | ||
| | | | ||
| [[55/54]], [[56/55]] | | [[55/54]], [[56/55]] | ||
| | | 648/637 | ||
|- | |- | ||
| 6 | | 6 | ||
Line 62: | Line 62: | ||
| [[49/48]], [[50/49]] | | [[49/48]], [[50/49]] | ||
| ? | | ? | ||
| | | 143/140, 729/715 | ||
|- | |- | ||
| 7 | | 7 | ||
Line 69: | Line 69: | ||
| | | | ||
| 352/343 | | 352/343 | ||
| [[40/39]] | | [[40/39]], 351/343 | ||
|- | |- | ||
| 8 | | 8 | ||
Line 76: | Line 76: | ||
| [[36/35]] | | [[36/35]] | ||
| ? | | ? | ||
| | | 147/143 | ||
|- | |- | ||
| 9 | | 9 | ||
Line 83: | Line 83: | ||
| | | | ||
| [[33/32]], 567/550 | | [[33/32]], 567/550 | ||
| [[65/63]] | | [[65/63]], 624/605 | ||
|- | |- | ||
| 10 | | 10 | ||
Line 104: | Line 104: | ||
| 729/700 | | 729/700 | ||
| 126/121 | | 126/121 | ||
| 169/162 | | 169/162, 448/429 | ||
|- | |- | ||
| 13 | | 13 | ||
Line 111: | Line 111: | ||
| | | | ||
| [[22/21]], 288/275 | | [[22/21]], 288/275 | ||
| | | 245/234 | ||
|- | |- | ||
| 14 | | 14 | ||
Line 118: | Line 118: | ||
| [[21/20]], 360/343 | | [[21/20]], 360/343 | ||
| 605/576 | | 605/576 | ||
| 104/99 | | 104/99, 150/143 | ||
|- | |- | ||
| 15 | | 15 | ||
Line 125: | Line 125: | ||
| | | | ||
| 539/512, 625/594 | | 539/512, 625/594 | ||
| 96/91 | | 96/91, 455/432 | ||
|- | |- | ||
| 16 | | 16 | ||
Line 132: | Line 132: | ||
| 200/189, 343/324 | | 200/189, 343/324 | ||
| [[128/121]], 363/343 | | [[128/121]], 363/343 | ||
| 55/52 | | 55/52, 143/135 | ||
|- | |- | ||
| 17 | | 17 | ||
Line 146: | Line 146: | ||
| ? | | ? | ||
| ? | | ? | ||
| 117/110 | | 117/110, 180/169 | ||
|- | |- | ||
| 19 | | 19 | ||
Line 153: | Line 153: | ||
| | | | ||
| 77/72, 294/275 | | 77/72, 294/275 | ||
| 260/243 | | 125/117, 260/243 | ||
|- | |- | ||
| 20 | | 20 | ||
Line 160: | Line 160: | ||
| [[15/14]], 343/320 | | [[15/14]], 343/320 | ||
| 648/605 | | 648/605 | ||
| | | 429/400, 768/715 | ||
|- | |- | ||
| 21 | | 21 | ||
Line 174: | Line 174: | ||
| 175/162 | | 175/162 | ||
| 121/112, 392/363 | | 121/112, 392/363 | ||
| | | 416/385 | ||
|- | |- | ||
| 23 | | 23 | ||
Line 202: | Line 202: | ||
| [[35/32]], 192/175 | | [[35/32]], 192/175 | ||
| ? | | ? | ||
| | | 385/351, 429/392 | ||
|- | |- | ||
| 27 | | 27 | ||
Line 209: | Line 209: | ||
| | | | ||
| [[11/10]] | | [[11/10]] | ||
| 208/189 | | 100/91, 208/189 | ||
|- | |- | ||
| 28 | | 28 | ||
Line 216: | Line 216: | ||
| [[54/49]], 441/400 | | [[54/49]], 441/400 | ||
| 400/363 | | 400/363 | ||
| | | 182/165, 315/286 | ||
|- | |- | ||
| 29 | | 29 | ||
Line 223: | Line 223: | ||
| | | | ||
| 256/231 | | 256/231 | ||
| 72/65 | | 72/65, 637/576 | ||
|- | |- | ||
| 30 | | 30 | ||
Line 244: | Line 244: | ||
| [[28/25]], 384/343 | | [[28/25]], 384/343 | ||
| 121/108 | | 121/108 | ||
| 143/128 | | 143/128, 160/143 | ||
|- | |- | ||
| 33 | | 33 | ||
Line 251: | Line 251: | ||
| | | | ||
| [[55/49]], 432/385 | | [[55/49]], 432/385 | ||
| [[91/81]] | | [[91/81]], 175/156 | ||
|- | |- | ||
| 34 | | 34 | ||
Line 258: | Line 258: | ||
| ''640/567'' | | ''640/567'' | ||
| ? | | ? | ||
| [[44/39]] | | [[44/39]], 260/231 | ||
|- | |- | ||
| 35 | | 35 | ||
Line 265: | Line 265: | ||
| | | | ||
| 112/99, 198/175 | | 112/99, 198/175 | ||
| | | 147/140, 325/288 | ||
|- | |- | ||
| 36 | | 36 | ||
Line 272: | Line 272: | ||
| 245/216, 500/441 | | 245/216, 500/441 | ||
| 363/320, 686/605 | | 363/320, 686/605 | ||
| 162/143, | | 162/143, 143/126 | ||
|- | |- | ||
| 37 | | 37 | ||
Line 279: | Line 279: | ||
| | | | ||
| [[25/22]] | | [[25/22]] | ||
| 91/80, | | 91/80, 338/297 | ||
|- | |- | ||
| 38 | | 38 | ||
Line 293: | Line 293: | ||
| | | | ||
| [[55/48]], 63/55 | | [[55/48]], 63/55 | ||
| 416/363 | | 416/363, 729/637 | ||
|- | |- | ||
| 40 | | 40 | ||
Line 300: | Line 300: | ||
| 147/128, 280/243 | | 147/128, 280/243 | ||
| ? | | ? | ||
| | | 539/468 | ||
|- | |- | ||
| 41 | | 41 | ||
Line 314: | Line 314: | ||
| [[81/70]] | | [[81/70]] | ||
| [[140/121]] | | [[140/121]] | ||
| | | 624/539 | ||
|- | |- | ||
| 43 | | 43 | ||
Line 335: | Line 335: | ||
| | | | ||
| 90/77 | | 90/77 | ||
| 117/100, | | 117/100, 198/169 | ||
|- | |- | ||
| 46 | | 46 | ||
Line 342: | Line 342: | ||
| 147/125, 288/245 | | 147/125, 288/245 | ||
| ? | | ? | ||
| 169/144 | | 168/143, 169/144 | ||
|- | |- | ||
| 47 | | 47 | ||
Line 349: | Line 349: | ||
| | | | ||
| [[33/28]], 324/275 | | [[33/28]], 324/275 | ||
| | | 245/208, 520/441 | ||
|- | |- | ||
| 48 | | 48 | ||
Line 356: | Line 356: | ||
| [[189/160]] | | [[189/160]] | ||
| 605/512 | | 605/512 | ||
| [[13/11]] | | [[13/11]], 77/65 | ||
|- | |- | ||
| 49 | | 49 | ||
Line 363: | Line 363: | ||
| | | | ||
| 196/165, 297/250 | | 196/165, 297/250 | ||
| 108/91 | | 108/91, 208/175 | ||
|- | |- | ||
| 50 | | 50 | ||
Line 370: | Line 370: | ||
| [[25/21]], 343/288 | | [[25/21]], 343/288 | ||
| [[144/121]] | | [[144/121]] | ||
| 495/416 | | 143/120, 495/416 | ||
|- | |- | ||
| 51 | | 51 | ||
Line 384: | Line 384: | ||
| ? | | ? | ||
| 605/504 | | 605/504 | ||
| 832/693 | | 405/338, 832/693 | ||
|- | |- | ||
| 53 | | 53 | ||
Line 391: | Line 391: | ||
| | | | ||
| 77/64, 648/539 | | 77/64, 648/539 | ||
| 65/54 | | 65/54, 125/104 | ||
|- | |- | ||
| 54 | | 54 | ||
Line 398: | Line 398: | ||
| 98/81, ''135/112'' | | 98/81, ''135/112'' | ||
| 121/100 | | 121/100 | ||
| | | 110/91, 864/715 | ||
|- | |- | ||
| 55 | | 55 | ||
Line 405: | Line 405: | ||
| | | | ||
| [[40/33]], 297/245 | | [[40/33]], 297/245 | ||
| [[63/52]] | | [[63/52]], 91/75 | ||
|- | |- | ||
| 56 | | 56 | ||
Line 412: | Line 412: | ||
| 175/144 | | 175/144 | ||
| 147/121 | | 147/121 | ||
| | | 468/385 | ||
|- | |- | ||
| 57 | | 57 | ||
Line 440: | Line 440: | ||
| 216/175 | | 216/175 | ||
| 121/98, 448/363 | | 121/98, 448/363 | ||
| | | 385/312 | ||
|- | |- | ||
| 61 | | 61 | ||
Line 447: | Line 447: | ||
| | | | ||
| 99/80, 245/198 | | 99/80, 245/198 | ||
| [[26/21]] | | [[26/21]], 225/182 | ||
|- | |- | ||
| 62 | | 62 | ||
Line 454: | Line 454: | ||
| [[56/45]], ''243/196'' | | [[56/45]], ''243/196'' | ||
| ? | | ? | ||
| | | 273/220, 715/576 | ||
|- | |- | ||
| 63 | | 63 | ||
Line 461: | Line 461: | ||
| | | | ||
| 96/77, 343/275 | | 96/77, 343/275 | ||
| 81/65 | | 81/65, 156/125 | ||
|- | |- | ||
| 64 | | 64 | ||
Line 468: | Line 468: | ||
| ? | | ? | ||
| 756/605 | | 756/605 | ||
| | | 169/135 | ||
|- | |- | ||
| 65 | | 65 | ||
Line 482: | Line 482: | ||
| [[63/50]], 432/343 | | [[63/50]], 432/343 | ||
| [[121/96]] | | [[121/96]] | ||
| 208/165 | | 180/143, 208/165 | ||
|- | |- | ||
| 67 | | 67 | ||
Line 489: | Line 489: | ||
| | | | ||
| 125/99, 486/385 | | 125/99, 486/385 | ||
| 91/72 | | 91/72, 576/455 | ||
|- | |- | ||
| 68 | | 68 | ||
Line 503: | Line 503: | ||
| | | | ||
| [[14/11]], 275/216 | | [[14/11]], 275/216 | ||
| | | 312/245 | ||
|- | |- | ||
| 70 | | 70 | ||
Line 510: | Line 510: | ||
| 125/98, 245/192 | | 125/98, 245/192 | ||
| ? | | ? | ||
| | | 143/112, 351/275 | ||
|- | |- | ||
| 71 | | 71 | ||
Line 538: | Line 538: | ||
| [[35/27]] | | [[35/27]] | ||
| 363/280, 784/605 | | 363/280, 784/605 | ||
| | | 539/416, 572/441 | ||
|- | |- | ||
| 75 | | 75 | ||
Line 552: | Line 552: | ||
| [[64/49]], 98/75 | | [[64/49]], 98/75 | ||
| ? | | ? | ||
| | | 560/429 | ||
|- | |- | ||
| 77 | | 77 | ||
Line 559: | Line 559: | ||
| | | | ||
|55/42, 72/55 | |55/42, 72/55 | ||
| | | 637/486 | ||
|- | |- | ||
| 78 | | 78 | ||
Line 580: | Line 580: | ||
| 250/189, 324/245 | | 250/189, 324/245 | ||
| 160/121 | | 160/121 | ||
| 143/108 | | 143/108, 189/143 | ||
|- | |- | ||
| 81 | | 81 | ||
Line 587: | Line 587: | ||
| | | | ||
| 175/132, 297/224 | | 175/132, 297/224 | ||
| | | 65/49, 121/91 | ||
|- | |- | ||
| 82 | | 82 | ||
Line 594: | Line 594: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | 693/520 | ||
|- | |- | ||
| 83 | | 83 | ||
Line 601: | Line 601: | ||
| | | | ||
| 147/110, 385/288 | | 147/110, 385/288 | ||
| 243/182 | | 234/175, 243/182 | ||
|- | |- | ||
| 84 | | 84 | ||
Line 608: | Line 608: | ||
| [[75/56|''75/56'']], 168/125 | | [[75/56|''75/56'']], 168/125 | ||
| ? | | ? | ||
| 192/143 | | 169/126, 192/143 | ||
|- | |- | ||
| 85 | | 85 | ||
Line 629: | Line 629: | ||
| | | | ||
| 110/81, 224/165 | | 110/81, 224/165 | ||
| 65/48 | | 65/48, 864/637 | ||
|- | |- | ||
| 88 | | 88 | ||
Line 636: | Line 636: | ||
| [[49/36]], 200/147 | | [[49/36]], 200/147 | ||
| ? | | ? | ||
| | | 143/105, 495/364 | ||
|- | |- | ||
| 89 | | 89 | ||
Line 643: | Line 643: | ||
| | | | ||
| [[15/11]] | | [[15/11]] | ||
| 160/117 | | 160/117, 273/200 | ||
|- | |- | ||
| 90 | | 90 | ||
Line 650: | Line 650: | ||
| [[48/35]], 343/250 | | [[48/35]], 343/250 | ||
| ? | | ? | ||
| | | 196/143 | ||
|- | |- | ||
| 91 | | 91 | ||
Line 657: | Line 657: | ||
| | | | ||
| '''[[11/8]]''', 378/275 | | '''[[11/8]]''', 378/275 | ||
| 260/189 | | 260/189, 832/605 | ||
|- | |- | ||
| 92 | | 92 | ||
Line 685: | Line 685: | ||
| | | | ||
| 88/63, 384/275 | | 88/63, 384/275 | ||
| 39/28 | | 39/28, 363/260 | ||
|- | |- | ||
| 96 | | 96 | ||
Line 692: | Line 692: | ||
| [[7/5]], 480/343 | | [[7/5]], 480/343 | ||
| 605/432 | | 605/432 | ||
| 416/297 | | 200/143, 416/297 | ||
|- | |- | ||
| 97 | | 97 | ||
Line 699: | Line 699: | ||
| | | | ||
| 108/77, 275/196 | | 108/77, 275/196 | ||
| 128/91, | | 128/91, 351/250 | ||
|- | |- | ||
| 98 | | 98 | ||
Line 706: | Line 706: | ||
| 343/243, 800/567 | | 343/243, 800/567 | ||
| 484/343, 512/363 | | 484/343, 512/363 | ||
| 55/39 | | 55/39, 169/120 | ||
|- | |- | ||
| 99 | | 99 | ||
Line 720: | Line 720: | ||
| 486/343, 567/400 | | 486/343, 567/400 | ||
| 343/242, 363/256 | | 343/242, 363/256 | ||
| 78/55 | | 78/55, 240/169 | ||
|- | |- | ||
| 101 | | 101 | ||
Line 727: | Line 727: | ||
| | | | ||
| 77/54, 392/275 | | 77/54, 392/275 | ||
| 91/64, | | 91/64, 500/351 | ||
|- | |- | ||
| 102 | | 102 | ||
Line 734: | Line 734: | ||
| [[10/7]], 343/240 | | [[10/7]], 343/240 | ||
| 864/605 | | 864/605 | ||
| 297/208 | | 143/100, 297/208 | ||
|- | |- | ||
| 103 | | 103 | ||
Line 741: | Line 741: | ||
| | | | ||
| 63/44, 275/192 | | 63/44, 275/192 | ||
| 56/39 | | 56/39, 351/245 | ||
|- | |- | ||
| 104 | | 104 | ||
Line 769: | Line 769: | ||
| | | | ||
| '''[[16/11]]''', 275/189 | | '''[[16/11]]''', 275/189 | ||
| 189/130 | | 189/130, 605/416 | ||
|- | |- | ||
| 108 | | 108 | ||
Line 776: | Line 776: | ||
| [[35/24]], 500/343 | | [[35/24]], 500/343 | ||
| ? | | ? | ||
| | | 143/98 | ||
|- | |- | ||
| 109 | | 109 | ||
Line 783: | Line 783: | ||
| | | | ||
| [[22/15]] | | [[22/15]] | ||
| 117/80 | | 117/80, 343/234 | ||
|- | |- | ||
| 110 | | 110 | ||
Line 790: | Line 790: | ||
| [[72/49]], 147/100 | | [[72/49]], 147/100 | ||
| ? | | ? | ||
| | | 210/143, 715/486 | ||
|- | |- | ||
| 111 | | 111 | ||
Line 797: | Line 797: | ||
| | | | ||
| 81/55, 165/112 | | 81/55, 165/112 | ||
| 96/65 | | 96/65, 637/432 | ||
|- | |- | ||
| 112 | | 112 | ||
Line 818: | Line 818: | ||
| [[112/75|''112/75'']], 125/84 | | [[112/75|''112/75'']], 125/84 | ||
| ? | | ? | ||
| 143/96 | | 143/96, 252/169 | ||
|- | |- | ||
| 115 | | 115 | ||
Line 825: | Line 825: | ||
| | | | ||
| 220/147, 539/360 | | 220/147, 539/360 | ||
| 364/243 | | 175/117, 364/243 | ||
|- | |- | ||
| 116 | | 116 | ||
Line 832: | Line 832: | ||
| ? | | ? | ||
| ? | | ? | ||
| | | 1140/693 | ||
|- | |- | ||
| 117 | | 117 | ||
Line 839: | Line 839: | ||
| | | | ||
| 264/175, 385/256 | | 264/175, 385/256 | ||
| | | 98/65, 182/121 | ||
|- | |- | ||
| 118 | | 118 | ||
Line 846: | Line 846: | ||
| 189/125, 245/162 | | 189/125, 245/162 | ||
| 121/80 | | 121/80 | ||
| 216/143 | | 169/112, 216/143 | ||
|- | |- | ||
| 119 | | 119 | ||
Line 867: | Line 867: | ||
| | | | ||
| 55/36, 84/55 | | 55/36, 84/55 | ||
| | | 972/637 | ||
|- | |- | ||
| 122 | | 122 | ||
Line 874: | Line 874: | ||
| [[49/32]], 75/49 | | [[49/32]], 75/49 | ||
| ? | | ? | ||
| | | 429/280 | ||
|- | |- | ||
| 123 | | 123 | ||
Line 888: | Line 888: | ||
| [[54/35]] | | [[54/35]] | ||
| 560/363, 605/392 | | 560/363, 605/392 | ||
| | | 441/286, 832/539 | ||
|- | |- | ||
| 125 | | 125 | ||
Line 916: | Line 916: | ||
| 196/125, 384/245 | | 196/125, 384/245 | ||
| ? | | ? | ||
| | | 224/143, 550/351 | ||
|- | |- | ||
| 129 | | 129 | ||
Line 923: | Line 923: | ||
| | | | ||
| [[11/7]], 432/275 | | [[11/7]], 432/275 | ||
| | | 245/156 | ||
|- | |- | ||
| 130 | | 130 | ||
Line 937: | Line 937: | ||
| | | | ||
| 198/125, 385/243 | | 198/125, 385/243 | ||
| 144/91 | | 144/91, 455/288 | ||
|- | |- | ||
| 132 | | 132 | ||
Line 944: | Line 944: | ||
| [[100/63]], 343/216 | | [[100/63]], 343/216 | ||
| [[192/121]] | | [[192/121]] | ||
| 165/104 | | 143/90, 165/104 | ||
|- | |- | ||
| 133 | | 133 | ||
Line 958: | Line 958: | ||
| ? | | ? | ||
| 605/378 | | 605/378 | ||
| | | 270/169 | ||
|- | |- | ||
| 135 | | 135 | ||
Line 965: | Line 965: | ||
| | | | ||
| 77/48, 441/275 | | 77/48, 441/275 | ||
| 130/81 | | 125/78, 130/81 | ||
|- | |- | ||
| 136 | | 136 | ||
Line 972: | Line 972: | ||
| [[45/28]], ''392/243'' | | [[45/28]], ''392/243'' | ||
| ? | | ? | ||
| | | 440/273, 1152/715 | ||
|- | |- | ||
| 137 | | 137 | ||
Line 979: | Line 979: | ||
| | | | ||
| 160/99, 396/245 | | 160/99, 396/245 | ||
| [[21/13]] | | [[21/13]], 364/225 | ||
|- | |- | ||
| 138 | | 138 | ||
Line 986: | Line 986: | ||
| 175/108 | | 175/108 | ||
| 196/121, 363/224 | | 196/121, 363/224 | ||
| | | 624/385 | ||
|- | |- | ||
| 139 | | 139 | ||
Line 1,014: | Line 1,014: | ||
| 288/175 | | 288/175 | ||
| 242/147 | | 242/147 | ||
| | | 385/234 | ||
|- | |- | ||
| 143 | | 143 | ||
Line 1,021: | Line 1,021: | ||
| | | | ||
| [[33/20]], 490/297 | | [[33/20]], 490/297 | ||
| [[104/63]] | | [[104/63]], 150/91 | ||
|- | |- | ||
| 144 | | 144 | ||
Line 1,028: | Line 1,028: | ||
| [[81/49]], ''224/135'' | | [[81/49]], ''224/135'' | ||
| 200/121 | | 200/121 | ||
| | | 91/55, 715/432 | ||
|- | |- | ||
| 145 | | 145 | ||
Line 1,035: | Line 1,035: | ||
| | | | ||
| 128/77, 539/324 | | 128/77, 539/324 | ||
| 108/65 | | 108/65, 208/125 | ||
|- | |- | ||
| 146 | | 146 | ||
Line 1,042: | Line 1,042: | ||
| ? | | ? | ||
| 1008/605 | | 1008/605 | ||
| 693/416 | | 676/405, 693/416 | ||
|- | |- | ||
| 147 | | 147 | ||
Line 1,056: | Line 1,056: | ||
| [[42/25]], 576/343 | | [[42/25]], 576/343 | ||
| [[121/72]] | | [[121/72]] | ||
| | | 240/143, 567/338 | ||
|- | |- | ||
| 149 | | 149 | ||
Line 1,063: | Line 1,063: | ||
| | | | ||
| 165/98, 500/297 | | 165/98, 500/297 | ||
| 91/54 | | 91/54, 175/104 | ||
|- | |- | ||
| 150 | | 150 | ||
Line 1,070: | Line 1,070: | ||
| [[320/189]] | | [[320/189]] | ||
| 1024/605 | | 1024/605 | ||
| [[22/13]] | | [[22/13]], 130/77 | ||
|- | |- | ||
| 151 | | 151 | ||
Line 1,077: | Line 1,077: | ||
| | | | ||
| [[56/33]], 275/162 | | [[56/33]], 275/162 | ||
| | | 416/245, 441/260 | ||
|- | |- | ||
| 152 | | 152 | ||
Line 1,084: | Line 1,084: | ||
| 245/144, 250/147 | | 245/144, 250/147 | ||
| ? | | ? | ||
| 288/169 | | 143/84, 288/169 | ||
|- | |- | ||
| 153 | | 153 | ||
Line 1,091: | Line 1,091: | ||
| | | | ||
| 77/45 | | 77/45 | ||
| 200/117 | | 169/99, 200/117 | ||
|- | |- | ||
| 154 | | 154 | ||
Line 1,112: | Line 1,112: | ||
| [[140/81]] | | [[140/81]] | ||
| [[121/70]] | | [[121/70]] | ||
| | | 539/312 | ||
|- | |- | ||
| 157 | | 157 | ||
Line 1,126: | Line 1,126: | ||
| 243/140, 256/147 | | 243/140, 256/147 | ||
| ? | | ? | ||
| | | 936/539 | ||
|- | |- | ||
| 159 | | 159 | ||
Line 1,133: | Line 1,133: | ||
| | | | ||
| [[96/55]], 110/63 | | [[96/55]], 110/63 | ||
| 363/208 | | 363/208, 1274/729 | ||
|- | |- | ||
| 160 | | 160 | ||
Line 1,147: | Line 1,147: | ||
| | | | ||
| [[44/25]] | | [[44/25]] | ||
| 160/91, | | 160/91, 297/169 | ||
|- | |- | ||
| 162 | | 162 | ||
Line 1,161: | Line 1,161: | ||
| | | | ||
| 99/56, 175/99 | | 99/56, 175/99 | ||
| | | 260/147, 576/325 | ||
|- | |- | ||
| 164 | | 164 | ||
Line 1,168: | Line 1,168: | ||
| ''567/320'' | | ''567/320'' | ||
| ? | | ? | ||
| [[39/22]] | | [[39/22]], 231/130 | ||
|- | |- | ||
| 165 | | 165 | ||
Line 1,175: | Line 1,175: | ||
| | | | ||
| [[98/55]], 385/216 | | [[98/55]], 385/216 | ||
| [[162/91]] | | [[162/91]], 312/175 | ||
|- | |- | ||
| 166 | | 166 | ||
Line 1,182: | Line 1,182: | ||
| [[25/14]], 343/192 | | [[25/14]], 343/192 | ||
| 216/121 | | 216/121 | ||
| 256/143 | | 143/80, 256/143 | ||
|- | |- | ||
| 167 | | 167 | ||
Line 1,203: | Line 1,203: | ||
| | | | ||
| 231/128 | | 231/128 | ||
| 65/36 | | 65/36, 1152/637 | ||
|- | |- | ||
| 170 | | 170 | ||
Line 1,210: | Line 1,210: | ||
| [[49/27]], 800/441 | | [[49/27]], 800/441 | ||
| 363/200 | | 363/200 | ||
| | | 165/91, 572/315 | ||
|- | |- | ||
| 171 | | 171 | ||
Line 1,217: | Line 1,217: | ||
| | | | ||
| [[20/11]] | | [[20/11]] | ||
| 189/104 | | 91/50, 189/104 | ||
|- | |- | ||
| 172 | | 172 | ||
Line 1,224: | Line 1,224: | ||
| [[64/35]], 175/96 | | [[64/35]], 175/96 | ||
| ? | | ? | ||
| | | 702/385, 784/429 | ||
|- | |- | ||
| 173 | | 173 | ||
Line 1,252: | Line 1,252: | ||
| 324/175 | | 324/175 | ||
| 224/121, 363/196 | | 224/121, 363/196 | ||
| | | 385/208 | ||
|- | |- | ||
| 177 | | 177 | ||
Line 1,266: | Line 1,266: | ||
| [[28/15]], 640/343 | | [[28/15]], 640/343 | ||
| 605/324 | | 605/324 | ||
| | | 715/384, 800/429 | ||
|- | |- | ||
| 179 | | 179 | ||
Line 1,273: | Line 1,273: | ||
| | | | ||
| 144/77, 275/147 | | 144/77, 275/147 | ||
| 243/130 | | 234/125, 243/130 | ||
|- | |- | ||
| 180 | | 180 | ||
Line 1,280: | Line 1,280: | ||
| ? | | ? | ||
| ? | | ? | ||
| 220/117 | | 169/90, 220/117 | ||
|- | |- | ||
| 181 | | 181 | ||
Line 1,294: | Line 1,294: | ||
| 189/100, 648/343 | | 189/100, 648/343 | ||
| [[121/64]], 686/363 | | [[121/64]], 686/363 | ||
| 104/55 | | 104/55, 270/143 | ||
|- | |- | ||
| 183 | | 183 | ||
Line 1,301: | Line 1,301: | ||
| | | | ||
| 1024/539, 1188/625 | | 1024/539, 1188/625 | ||
| 91/48 | | 91/48, 864/455 | ||
|- | |- | ||
| 184 | | 184 | ||
Line 1,308: | Line 1,308: | ||
| [[40/21]], 343/180 | | [[40/21]], 343/180 | ||
| 1152/605 | | 1152/605 | ||
| 99/52 | | 99/52, 143/75 | ||
|- | |- | ||
| 185 | | 185 | ||
Line 1,315: | Line 1,315: | ||
| | | | ||
| [[21/11]], 275/144 | | [[21/11]], 275/144 | ||
| | | 468/245 | ||
|- | |- | ||
| 186 | | 186 | ||
Line 1,322: | Line 1,322: | ||
| 1400/729 | | 1400/729 | ||
| 121/63 | | 121/63 | ||
| 324/169 | | 324/169, 429/224 | ||
|- | |- | ||
| 187 | | 187 | ||
Line 1,343: | Line 1,343: | ||
| | | | ||
| [[64/33]], 1100/567 | | [[64/33]], 1100/567 | ||
| [[126/65]] | | [[126/65]], 605/312 | ||
|- | |- | ||
| 190 | | 190 | ||
Line 1,350: | Line 1,350: | ||
| [[35/18]] | | [[35/18]] | ||
| ? | | ? | ||
| | | 286/147 | ||
|- | |- | ||
| 191 | | 191 | ||
Line 1,357: | Line 1,357: | ||
| | | | ||
| 343/176 | | 343/176 | ||
| [[39/20]] | | [[39/20]], 686/351 | ||
|- | |- | ||
| 192 | | 192 | ||
Line 1,364: | Line 1,364: | ||
| 49/25, 96/49 | | 49/25, 96/49 | ||
| ? | | ? | ||
| | | 280/143, 1430/729 | ||
|- | |- | ||
| 193 | | 193 | ||
Line 1,371: | Line 1,371: | ||
| | | | ||
| 108/55, 55/27 | | 108/55, 55/27 | ||
| | | 637/324 | ||
|- | |- | ||
| 194 | | 194 |
Revision as of 07:51, 12 November 2020
This article is a work in progress.
11-limit is done.
This table of 198edo intervals assumes 13-limit patent val ⟨198 314 460 556 685 733].
Intervals highlighted in bold are prime harmonics or subharmonics. Note that no 7-limit interval can be represented by odd degrees, so those entries are left blank. 7-limit intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic, for they are consistent under the criterion of 99edo. Intervals otherwise that differ by more than 50%, with odd limit over 729, or with two more simpler mapped to the same degree, are not shown.
# | Cents | 5 limit | 7 limit | 11 limit | 13 limit |
---|---|---|---|---|---|
0 | 0.00 | 1/1 | |||
1 | 6.06 | 385/384, 441/440 | 196/195, 325/324 | ||
2 | 12.12 | ? | 126/125, 225/224 | 121/120 | 144/143, 169/168 |
3 | 18.18 | 99/98, 100/99 | 91/90, 105/104 | ||
4 | 24.24 | 81/80 | 64/63 | 245/242 | 66/65, 78/77 |
5 | 30.30 | 55/54, 56/55 | 648/637 | ||
6 | 36.36 | 128/125 | 49/48, 50/49 | ? | 143/140, 729/715 |
7 | 42.42 | 352/343 | 40/39, 351/343 | ||
8 | 48.48 | 250/243 | 36/35 | ? | 147/143 |
9 | 54.54 | 33/32, 567/550 | 65/63, 624/605 | ||
10 | 60.60 | 648/625 | 28/27 | 363/350 | 91/88 |
11 | 66.66 | 80/77, 343/330 | 26/25, 27/26 | ||
12 | 72.72 | 25/24 | 729/700 | 126/121 | 169/162, 448/429 |
13 | 78.78 | 22/21, 288/275 | 245/234 | ||
14 | 84.84 | 256/243 | 21/20, 360/343 | 605/576 | 104/99, 150/143 |
15 | 90.90 | 539/512, 625/594 | 96/91, 455/432 | ||
16 | 96.96 | 135/128 | 200/189, 343/324 | 128/121, 363/343 | 55/52, 143/135 |
17 | 103.03 | 35/33, 297/280 | 52/49, 441/416 | ||
18 | 109.09 | 16/15 | ? | ? | 117/110, 180/169 |
19 | 115.15 | 77/72, 294/275 | 125/117, 260/243 | ||
20 | 121.21 | ? | 15/14, 343/320 | 648/605 | 429/400, 768/715 |
21 | 127.27 | 264/245, 320/297 | 14/13 | ||
22 | 133.33 | 27/25 | 175/162 | 121/112, 392/363 | 416/385 |
23 | 139.39 | 250/231, 693/640 | 13/12 | ||
24 | 145.45 | 625/576 | 49/45, 160/147 | ? | 99/91 |
25 | 151.51 | 12/11, 275/252 | 567/520 | ||
26 | 157.57 | 800/729 | 35/32, 192/175 | ? | 385/351, 429/392 |
27 | 163.63 | 11/10 | 100/91, 208/189 | ||
28 | 169.69 | ? | 54/49, 441/400 | 400/363 | 182/165, 315/286 |
29 | 175.75 | 256/231 | 72/65, 637/576 | ||
30 | 181.81 | 10/9 | 567/512 | 672/605 | 231/208 |
31 | 187.87 | 49/44, 600/539 | 39/35 | ||
32 | 193.93 | ? | 28/25, 384/343 | 121/108 | 143/128, 160/143 |
33 | 200.00 | 55/49, 432/385 | 91/81, 175/156 | ||
34 | 206.06 | 9/8 | 640/567 | ? | 44/39, 260/231 |
35 | 212.12 | 112/99, 198/175 | 147/140, 325/288 | ||
36 | 218.18 | 256/225 | 245/216, 500/441 | 363/320, 686/605 | 162/143, 143/126 |
37 | 224.24 | 25/22 | 91/80, 338/297 | ||
38 | 230.30 | 729/640 | 8/7, 343/300 | ? | 297/260 |
39 | 236.36 | 55/48, 63/55 | 416/363, 729/637 | ||
40 | 242.42 | 144/125 | 147/128, 280/243 | ? | 539/468 |
41 | 248.48 | 231/200, 343/297 | 15/13, 52/45 | ||
42 | 254.54 | 125/108 | 81/70 | 140/121 | 624/539 |
43 | 260.60 | 64/55, 220/189 | 65/56, 121/104 | ||
44 | 266.66 | ? | 7/6, 400/343 | ? | ? |
45 | 272.72 | 90/77 | 117/100, 198/169 | ||
46 | 278.78 | 75/64 | 147/125, 288/245 | ? | 168/143, 169/144 |
47 | 284.84 | 33/28, 324/275 | 245/208, 520/441 | ||
48 | 290.90 | 32/27 | 189/160 | 605/512 | 13/11, 77/65 |
49 | 296.96 | 196/165, 297/250 | 108/91, 208/175 | ||
50 | 303.03 | ? | 25/21, 343/288 | 144/121 | 143/120, 495/416 |
51 | 309.09 | 176/147 | 117/98, 140/117 | ||
52 | 315.15 | 6/5 | ? | 605/504 | 405/338, 832/693 |
53 | 321.21 | 77/64, 648/539 | 65/54, 125/104 | ||
54 | 327.27 | ? | 98/81, 135/112 | 121/100 | 110/91, 864/715 |
55 | 333.33 | 40/33, 297/245 | 63/52, 91/75 | ||
56 | 339.39 | 243/200 | 175/144 | 147/121 | 468/385 |
57 | 345.45 | 11/9, 336/275 | 39/32 | ||
58 | 351.51 | 768/625 | 49/40, 60/49 | ? | 364/297 |
59 | 357.57 | 27/22, 275/224 | 16/13 | ||
60 | 363.63 | 100/81 | 216/175 | 121/98, 448/363 | 385/312 |
61 | 369.69 | 99/80, 245/198 | 26/21, 225/182 | ||
62 | 375.75 | ? | 56/45, 243/196 | ? | 273/220, 715/576 |
63 | 381.81 | 96/77, 343/275 | 81/65, 156/125 | ||
64 | 387.87 | 5/4 | ? | 756/605 | 169/135 |
65 | 393.93 | 44/35 | 49/39, 351/280 | ||
66 | 400.00 | 512/405 | 63/50, 432/343 | 121/96 | 180/143, 208/165 |
67 | 406.06 | 125/99, 486/385 | 91/72, 576/455 | ||
68 | 412.12 | 81/64 | 80/63, 343/270 | 768/605 | 33/26 |
69 | 418.18 | 14/11, 275/216 | 312/245 | ||
70 | 424.24 | 32/25 | 125/98, 245/192 | ? | 143/112, 351/275 |
71 | 430.30 | 77/60, 440/343 | 50/39, 104/81 | ||
72 | 436.36 | 625/486 | 9/7 | ? | ? |
73 | 442.42 | 128/99, 165/128 | 84/65, 156/121 | ||
74 | 448.48 | 162/125 | 35/27 | 363/280, 784/605 | 539/416, 572/441 |
75 | 454.54 | 100/77, 343/264 | 13/10, 135/104 | ||
76 | 460.60 | 125/96 | 64/49, 98/75 | ? | 560/429 |
77 | 466.66 | 55/42, 72/55 | 637/486 | ||
78 | 472.72 | 320/243 | 21/16, 450/343 | ? | 130/99, 154/117 |
79 | 478.78 | 33/25, 392/297 | 120/91, 416/315 | ||
80 | 484.84 | ? | 250/189, 324/245 | 160/121 | 143/108, 189/143 |
81 | 490.90 | 175/132, 297/224 | 65/49, 121/91 | ||
82 | 496.96 | 4/3 | ? | ? | 693/520 |
83 | 503.03 | 147/110, 385/288 | 234/175, 243/182 | ||
84 | 509.09 | ? | 75/56, 168/125 | ? | 169/126, 192/143 |
85 | 515.15 | 66/49, 400/297 | 35/26, 182/135 | ||
86 | 521.21 | 27/20 | 256/189 | 490/343, 605/448 | 104/77 |
87 | 527.27 | 110/81, 224/165 | 65/48, 864/637 | ||
88 | 533.33 | 512/375 | 49/36, 200/147 | ? | 143/105, 495/364 |
89 | 539.39 | 15/11 | 160/117, 273/200 | ||
90 | 545.45 | 1000/729 | 48/35, 343/250 | ? | 196/143 |
91 | 551.51 | 11/8, 378/275 | 260/189, 832/605 | ||
92 | 557.57 | 864/625 | 112/81, 441/320 | ? | 91/66 |
93 | 563.63 | 320/231, 686/495 | 18/13, 104/75 | ||
94 | 569.69 | 25/18 | 243/175 | 168/121 | 338/243 |
95 | 575.75 | 88/63, 384/275 | 39/28, 363/260 | ||
96 | 581.81 | ? | 7/5, 480/343 | 605/432 | 200/143, 416/297 |
97 | 587.87 | 108/77, 275/196 | 128/91, 351/250 | ||
98 | 593.93 | 45/32 | 343/243, 800/567 | 484/343, 512/363 | 55/39, 169/120 |
99 | 600.00 | 99/70, 140/99 | 147/104, 208/147 | ||
100 | 606.06 | 64/45 | 486/343, 567/400 | 343/242, 363/256 | 78/55, 240/169 |
101 | 612.12 | 77/54, 392/275 | 91/64, 500/351 | ||
102 | 618.18 | ? | 10/7, 343/240 | 864/605 | 143/100, 297/208 |
103 | 624.24 | 63/44, 275/192 | 56/39, 351/245 | ||
104 | 630.30 | 36/25 | 350/243 | 121/84 | 243/169 |
105 | 636.36 | 231/160, 495/343 | 13/9, 75/52 | ||
106 | 642.42 | 625/432 | 81/56, 640/441 | ? | 132/91 |
107 | 648.48 | 16/11, 275/189 | 189/130, 605/416 | ||
108 | 654.54 | 729/500 | 35/24, 500/343 | ? | 143/98 |
109 | 660.60 | 22/15 | 117/80, 343/234 | ||
110 | 666.66 | 375/256 | 72/49, 147/100 | ? | 210/143, 715/486 |
111 | 672.72 | 81/55, 165/112 | 96/65, 637/432 | ||
112 | 678.78 | 40/27 | 189/128 | 363/245, 896/605 | 77/52 |
113 | 684.84 | 49/33, 297/200 | 52/35, 135/91 | ||
114 | 690.90 | ? | 112/75, 125/84 | ? | 143/96, 252/169 |
115 | 696.96 | 220/147, 539/360 | 175/117, 364/243 | ||
116 | 703.03 | 3/2 | ? | ? | 1140/693 |
117 | 709.09 | 264/175, 385/256 | 98/65, 182/121 | ||
118 | 715.15 | ? | 189/125, 245/162 | 121/80 | 169/112, 216/143 |
119 | 721.21 | 50/33, 297/196 | 91/60, 315/208 | ||
120 | 727.27 | 243/160 | 32/21, 343/225 | ? | 99/65, 117/77 |
121 | 733.33 | 55/36, 84/55 | 972/637 | ||
122 | 739.39 | 192/125 | 49/32, 75/49 | ? | 429/280 |
123 | 745.45 | 77/50, 528/343 | 20/13, 208/135 | ||
124 | 751.51 | 125/81 | 54/35 | 560/363, 605/392 | 441/286, 832/539 |
125 | 757.57 | 99/64, 256/165 | 65/42, 121/78 | ||
126 | 763.63 | 972/625 | 14/9 | ? | ? |
127 | 769.69 | 120/77, 343/220 | 39/25, 81/52 | ||
128 | 775.75 | 25/16 | 196/125, 384/245 | ? | 224/143, 550/351 |
129 | 781.81 | 11/7, 432/275 | 245/156 | ||
130 | 787.87 | 128/81 | 63/40, 540/343 | 605/384 | 52/33 |
131 | 793.93 | 198/125, 385/243 | 144/91, 455/288 | ||
132 | 800.00 | 405/256 | 100/63, 343/216 | 192/121 | 143/90, 165/104 |
133 | 806.06 | 35/22 | 78/49, 560/351 | ||
134 | 812.12 | 8/5 | ? | 605/378 | 270/169 |
135 | 818.18 | 77/48, 441/275 | 125/78, 130/81 | ||
136 | 824.24 | ? | 45/28, 392/243 | ? | 440/273, 1152/715 |
137 | 830.30 | 160/99, 396/245 | 21/13, 364/225 | ||
138 | 836.36 | 81/50 | 175/108 | 196/121, 363/224 | 624/385 |
139 | 842.42 | 44/27, 448/275 | 13/8 | ||
140 | 848.48 | 625/384 | 49/30, 80/49 | ? | 297/182 |
141 | 854.54 | 18/11, 275/168 | 64/39 | ||
142 | 860.60 | 400/243 | 288/175 | 242/147 | 385/234 |
143 | 866.66 | 33/20, 490/297 | 104/63, 150/91 | ||
144 | 872.72 | ? | 81/49, 224/135 | 200/121 | 91/55, 715/432 |
145 | 878.78 | 128/77, 539/324 | 108/65, 208/125 | ||
146 | 884.84 | 5/3 | ? | 1008/605 | 676/405, 693/416 |
147 | 890.90 | 147/88 | 117/70, 196/117 | ||
148 | 896.96 | ? | 42/25, 576/343 | 121/72 | 240/143, 567/338 |
149 | 903.03 | 165/98, 500/297 | 91/54, 175/104 | ||
150 | 909.09 | 27/16 | 320/189 | 1024/605 | 22/13, 130/77 |
151 | 915.15 | 56/33, 275/162 | 416/245, 441/260 | ||
152 | 921.21 | 128/75 | 245/144, 250/147 | ? | 143/84, 288/169 |
153 | 927.27 | 77/45 | 169/99, 200/117 | ||
154 | 933.33 | ? | 12/7, 343/200 | ? | ? |
155 | 939.39 | 55/32, 189/110 | 112/65, 208/121 | ||
156 | 945.45 | 216/125 | 140/81 | 121/70 | 539/312 |
157 | 951.51 | 343/198, 400/231 | 26/15, 45/26 | ||
158 | 957.57 | 125/72 | 243/140, 256/147 | ? | 936/539 |
159 | 963.63 | 96/55, 110/63 | 363/208, 1274/729 | ||
160 | 969.69 | 1280/729 | 7/4, 600/343 | ? | 520/297 |
161 | 975.75 | 44/25 | 160/91, 297/169 | ||
162 | 981.81 | 225/128 | 432/245, 441/250 | 605/343, 640/363 | 143/81, 169/96 |
163 | 987.87 | 99/56, 175/99 | 260/147, 576/325 | ||
164 | 993.93 | 16/9 | 567/320 | ? | 39/22, 231/130 |
165 | 1000.00 | 98/55, 385/216 | 162/91, 312/175 | ||
166 | 1006.06 | ? | 25/14, 343/192 | 216/121 | 143/80, 256/143 |
167 | 1012.12 | 88/49, 539/300 | 70/39 | ||
168 | 1018.18 | 9/5 | 1024/567 | 605/336 | 416/231 |
169 | 1024.24 | 231/128 | 65/36, 1152/637 | ||
170 | 1030.30 | ? | 49/27, 800/441 | 363/200 | 165/91, 572/315 |
171 | 1036.36 | 20/11 | 91/50, 189/104 | ||
172 | 1042.42 | 729/400 | 64/35, 175/96 | ? | 702/385, 784/429 |
173 | 1048.48 | 11/6, 504/275 | 1040/567 | ||
174 | 1054.54 | 1152/625 | 90/49, 147/80 | ? | 182/99 |
175 | 1060.60 | 231/125, 1280/693 | 24/13 | ||
176 | 1066.66 | 50/27 | 324/175 | 224/121, 363/196 | 385/208 |
177 | 1072.72 | 245/132, 297/160 | 13/7 | ||
178 | 1078.78 | ? | 28/15, 640/343 | 605/324 | 715/384, 800/429 |
179 | 1084.84 | 144/77, 275/147 | 234/125, 243/130 | ||
180 | 1090.90 | 15/8 | ? | ? | 169/90, 220/117 |
181 | 1096.96 | 66/35, 560/297 | 49/26, 832/441 | ||
182 | 1103.03 | 256/135 | 189/100, 648/343 | 121/64, 686/363 | 104/55, 270/143 |
183 | 1109.09 | 1024/539, 1188/625 | 91/48, 864/455 | ||
184 | 1115.15 | 243/128 | 40/21, 343/180 | 1152/605 | 99/52, 143/75 |
185 | 1121.21 | 21/11, 275/144 | 468/245 | ||
186 | 1127.27 | 48/25 | 1400/729 | 121/63 | 324/169, 429/224 |
187 | 1133.33 | 77/40, 660/343 | 25/13, 52/27 | ||
188 | 1139.39 | 625/324 | 27/14 | 700/363 | 176/91 |
189 | 1145.45 | 64/33, 1100/567 | 126/65, 605/312 | ||
190 | 1151.51 | 243/125 | 35/18 | ? | 286/147 |
191 | 1157.57 | 343/176 | 39/20, 686/351 | ||
192 | 1163.63 | 125/64 | 49/25, 96/49 | ? | 280/143, 1430/729 |
193 | 1169.69 | 108/55, 55/27 | 637/324 | ||
194 | 1175.75 | 160/81 | 63/32 | 484/245 | 65/33, 77/39 |
195 | 1181.81 | 196/99, 99/50 | 180/91, 208/105 | ||
196 | 1187.87 | ? | 125/63, 448/225 | 240/121 | 143/72, 336/169 |
197 | 1193.93 | 539/270, 768/385 | 195/98, 363/182 | ||
198 | 1200.00 | 2/1 |