Table of 105edo intervals: Difference between revisions
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
|Cents | |||
| | Step | | | Step | ||
| | | | | 5-limit | ||
| | | | | 7-limit | ||
| | | | | 11-limit | ||
| | | | | 13-limit | ||
|- | |- | ||
|11.42857143 | |||
| | 1 | | | 1 | ||
| | ? | | | ? | ||
Line 15: | Line 17: | ||
| | 66/65 | | | 66/65 | ||
|- | |- | ||
|22.85714286 | |||
| | 2 | | | 2 | ||
| | ? | | | ? | ||
Line 21: | Line 24: | ||
| | 78/77 | | | 78/77 | ||
|- | |- | ||
|34.28571429 | |||
| | 3 | | | 3 | ||
| | 128/125 | | | 128/125 | ||
Line 27: | Line 31: | ||
| | 36/35 | | | 36/35 | ||
|- | |- | ||
|45.71428571 | |||
| | 4 | | | 4 | ||
| | 3125/3072 | | | 3125/3072 | ||
Line 33: | Line 38: | ||
| | 27/26 | | | 27/26 | ||
|- | |- | ||
|57.14285714 | |||
| | 5 | | | 5 | ||
| | ? | | | ? | ||
Line 39: | Line 45: | ||
| | 121/117 | | | 121/117 | ||
|- | |- | ||
|68.57142857 | |||
| | 6 | | | 6 | ||
| | 16384/15625 | | | 16384/15625 | ||
Line 45: | Line 52: | ||
| | 26/25 | | | 26/25 | ||
|- | |- | ||
|80 | |||
| | 7 | | | 7 | ||
| | 25/24 | | | 25/24 | ||
Line 51: | Line 59: | ||
| | 21/20 | | | 21/20 | ||
|- | |- | ||
|91.42857143 | |||
| | 8 | | | 8 | ||
| | ? | | | ? | ||
Line 57: | Line 66: | ||
| | 55/52 | | | 55/52 | ||
|- | |- | ||
|102.8571429 | |||
| | 9 | | | 9 | ||
| | ? | | | ? | ||
Line 63: | Line 73: | ||
| | 52/49 | | | 52/49 | ||
|- | |- | ||
|114.2857143 | |||
| | 10 | | | 10 | ||
| | 16/15 | | | 16/15 | ||
Line 69: | Line 80: | ||
| | 15/14 | | | 15/14 | ||
|- | |- | ||
|125.7142857 | |||
| | 11 | | | 11 | ||
| | 78125/73728 | | | 78125/73728 | ||
Line 75: | Line 87: | ||
| | 14/13 | | | 14/13 | ||
|- | |- | ||
|137.1428571 | |||
| | 12 | | | 12 | ||
| | ? | | | ? | ||
Line 81: | Line 94: | ||
| | 130/121 | | | 130/121 | ||
|- | |- | ||
|148.5714286 | |||
| | 13 | | | 13 | ||
| | 2048/1875 | | | 2048/1875 | ||
Line 87: | Line 101: | ||
| | 12/11 | | | 12/11 | ||
|- | |- | ||
|160 | |||
| | 14 | | | 14 | ||
| | 625/576 | | | 625/576 | ||
Line 93: | Line 108: | ||
| | 11/10 | | | 11/10 | ||
|- | |- | ||
|171.4285714 | |||
| | 15 | | | 15 | ||
| | ? | | | ? | ||
Line 99: | Line 115: | ||
| | 169/154 | | | 169/154 | ||
|- | |- | ||
|182.8571429 | |||
| | 16 | | | 16 | ||
| | ? | | | ? | ||
Line 105: | Line 122: | ||
| | 39/35 | | | 39/35 | ||
|- | |- | ||
|194.2857143 | |||
| | 17 | | | 17 | ||
| | 9/8 | | | 9/8 | ||
Line 111: | Line 129: | ||
| | 9/8 | | | 9/8 | ||
|- | |- | ||
|205.7142857 | |||
| | 18 | | | 18 | ||
| | ? | | | ? | ||
Line 117: | Line 136: | ||
| | 44/39 | | | 44/39 | ||
|- | |- | ||
|217.1428571 | |||
| | 19 | | | 19 | ||
| | ? | | | ? | ||
Line 123: | Line 143: | ||
| | 169/150 | | | 169/150 | ||
|- | |- | ||
|228.5714286 | |||
| | 20 | | | 20 | ||
| | 144/125 | | | 144/125 | ||
Line 129: | Line 150: | ||
| | 8/7 | | | 8/7 | ||
|- | |- | ||
|240 | |||
| | 21 | | | 21 | ||
| | 9375/8192 | | | 9375/8192 | ||
Line 135: | Line 157: | ||
| | 15/13 | | | 15/13 | ||
|- | |- | ||
|251.4285714 | |||
| | 22 | | | 22 | ||
| | ? | | | ? | ||
Line 141: | Line 164: | ||
| | 121/104 | | | 121/104 | ||
|- | |- | ||
|262.8571429 | |||
| | 23 | | | 23 | ||
| | 18432/15625 | | | 18432/15625 | ||
Line 147: | Line 171: | ||
| | 52/45 | | | 52/45 | ||
|- | |- | ||
|274.2857143 | |||
| | 24 | | | 24 | ||
| | 75/64 | | | 75/64 | ||
Line 153: | Line 178: | ||
| | 7/6 | | | 7/6 | ||
|- | |- | ||
|285.7142857 | |||
| | 25 | | | 25 | ||
| | ? | | | ? | ||
Line 159: | Line 185: | ||
| | 77/65 | | | 77/65 | ||
|- | |- | ||
|297.1428571 | |||
| | 26 | | | 26 | ||
| | ? | | | ? | ||
Line 165: | Line 192: | ||
| | 13/11 | | | 13/11 | ||
|- | |- | ||
|308.5714286 | |||
| | 27 | | | 27 | ||
| | 6/5 | | | 6/5 | ||
Line 171: | Line 199: | ||
| | 6/5 | | | 6/5 | ||
|- | |- | ||
|320 | |||
| | 28 | | | 28 | ||
| | 78125/65536 | | | 78125/65536 | ||
Line 177: | Line 206: | ||
| | 63/52 | | | 63/52 | ||
|- | |- | ||
|331.4285714 | |||
| | 29 | | | 29 | ||
| | ? | | | ? | ||
Line 183: | Line 213: | ||
| | 169/140 | | | 169/140 | ||
|- | |- | ||
|342.8571429 | |||
| | 30 | | | 30 | ||
| | 768/625 | | | 768/625 | ||
Line 189: | Line 220: | ||
| | 27/22 | | | 27/22 | ||
|- | |- | ||
|354.2857143 | |||
| | 31 | | | 31 | ||
| | 625/512 | | | 625/512 | ||
Line 195: | Line 227: | ||
| | 11/9 | | | 11/9 | ||
|- | |- | ||
|365.7142857 | |||
| | 32 | | | 32 | ||
| | ? | | | ? | ||
Line 201: | Line 234: | ||
| | 210/169 | | | 210/169 | ||
|- | |- | ||
|377.1428571 | |||
| | 33 | | | 33 | ||
| | 98304/78125 | | | 98304/78125 | ||
Line 207: | Line 241: | ||
| | 26/21 | | | 26/21 | ||
|- | |- | ||
|388.5714286 | |||
| | 34 | | | 34 | ||
| | 5/4 | | | 5/4 | ||
Line 213: | Line 248: | ||
| | 5/4 | | | 5/4 | ||
|- | |- | ||
|400 | |||
| | 35 | | | 35 | ||
| | ? | | | ? | ||
Line 219: | Line 255: | ||
| | 33/26 | | | 33/26 | ||
|- | |- | ||
|411.4285714 | |||
| | 36 | | | 36 | ||
| | ? | | | ? | ||
Line 225: | Line 262: | ||
| | 169/135 | | | 169/135 | ||
|- | |- | ||
|422.8571429 | |||
| | 37 | | | 37 | ||
| | 32/25 | | | 32/25 | ||
Line 231: | Line 269: | ||
| | 9/7 | | | 9/7 | ||
|- | |- | ||
|434.2857143 | |||
| | 38 | | | 38 | ||
| | 15625/12288 | | | 15625/12288 | ||
Line 237: | Line 276: | ||
| | 50/39 | | | 50/39 | ||
|- | |- | ||
|445.7142857 | |||
| | 39 | | | 39 | ||
| | ? | | | ? | ||
Line 243: | Line 283: | ||
| | 156/121 | | | 156/121 | ||
|- | |- | ||
|457.1428571 | |||
| | 40 | | | 40 | ||
| | 4096/3125 | | | 4096/3125 | ||
Line 249: | Line 290: | ||
| | 13/10 | | | 13/10 | ||
|- | |- | ||
|468.5714286 | |||
| | 41 | | | 41 | ||
| | 125/96 | | | 125/96 | ||
Line 255: | Line 297: | ||
| | 21/16 | | | 21/16 | ||
|- | |- | ||
|480 | |||
| | 42 | | | 42 | ||
| | ? | | | ? | ||
Line 261: | Line 304: | ||
| | 121/91 | | | 121/91 | ||
|- | |- | ||
|491.4285714 | |||
| | 43 | | | 43 | ||
| | ? | | | ? | ||
Line 267: | Line 311: | ||
| | 65/49 | | | 65/49 | ||
|- | |- | ||
|502.8571429 | |||
| | 44 | | | 44 | ||
| | 4/3 | | | 4/3 | ||
Line 273: | Line 318: | ||
| | 4/3 | | | 4/3 | ||
|- | |- | ||
|514.2857143 | |||
| | 45 | | | 45 | ||
| | ? | | | ? | ||
Line 279: | Line 325: | ||
| | 35/26 | | | 35/26 | ||
|- | |- | ||
|525.7142857 | |||
| | 46 | | | 46 | ||
| | ? | | | ? | ||
Line 285: | Line 332: | ||
| | 104/77 | | | 104/77 | ||
|- | |- | ||
|537.1428571 | |||
| | 47 | | | 47 | ||
| | 512/375 | | | 512/375 | ||
Line 291: | Line 339: | ||
| | 15/11 | | | 15/11 | ||
|- | |- | ||
|548.5714286 | |||
| | 48 | | | 48 | ||
| | 3125/2304 | | | 3125/2304 | ||
Line 297: | Line 346: | ||
| | 11/8 | | | 11/8 | ||
|- | |- | ||
|560 | |||
| | 49 | | | 49 | ||
| | ? | | | ? | ||
Line 303: | Line 353: | ||
| | 338/245 | | | 338/245 | ||
|- | |- | ||
|571.4285714 | |||
| | 50 | | | 50 | ||
| | 65536/46875 | | | 65536/46875 | ||
Line 309: | Line 360: | ||
| | 39/28 | | | 39/28 | ||
|- | |- | ||
|582.8571429 | |||
| | 51 | | | 51 | ||
| | 25/18 | | | 25/18 | ||
Line 315: | Line 367: | ||
| | 7/5 | | | 7/5 | ||
|- | |- | ||
|594.2857143 | |||
| | 52 | | | 52 | ||
| | ? | | | ? | ||
Line 321: | Line 374: | ||
| | 55/39 | | | 55/39 | ||
|- | |- | ||
|605.7142857 | |||
| | 53 | | | 53 | ||
| | ? | | | ? | ||
Line 327: | Line 381: | ||
| | 78/55 | | | 78/55 | ||
|- | |- | ||
|617.1428571 | |||
| | 54 | | | 54 | ||
| | 36/25 | | | 36/25 | ||
Line 333: | Line 388: | ||
| | 10/7 | | | 10/7 | ||
|- | |- | ||
|628.5714286 | |||
| | 55 | | | 55 | ||
| | 46875/32768 | | | 46875/32768 | ||
Line 339: | Line 395: | ||
| | 56/39 | | | 56/39 | ||
|- | |- | ||
|640 | |||
| | 56 | | | 56 | ||
| | ? | | | ? | ||
Line 345: | Line 402: | ||
| | 245/169 | | | 245/169 | ||
|- | |- | ||
|651.4285714 | |||
| | 57 | | | 57 | ||
| | 4608/3125 | | | 4608/3125 | ||
Line 351: | Line 409: | ||
| | 13/9 | | | 13/9 | ||
|- | |- | ||
|662.8571429 | |||
| | 58 | | | 58 | ||
| | 375/256 | | | 375/256 | ||
Line 357: | Line 416: | ||
| | 22/15 | | | 22/15 | ||
|- | |- | ||
|674.2857143 | |||
| | 59 | | | 59 | ||
| | ? | | | ? | ||
Line 363: | Line 423: | ||
| | 77/52 | | | 77/52 | ||
|- | |- | ||
|685.7142857 | |||
| | 60 | | | 60 | ||
| | ? | | | ? | ||
Line 369: | Line 430: | ||
| | 52/35 | | | 52/35 | ||
|- | |- | ||
|697.1428571 | |||
| | 61 | | | 61 | ||
| | 3/2 | | | 3/2 | ||
Line 375: | Line 437: | ||
| | 3/2 | | | 3/2 | ||
|- | |- | ||
|708.5714286 | |||
| | 62 | | | 62 | ||
| | ? | | | ? | ||
Line 381: | Line 444: | ||
| | 98/65 | | | 98/65 | ||
|- | |- | ||
|720 | |||
| | 63 | | | 63 | ||
| | ? | | | ? | ||
Line 387: | Line 451: | ||
| | 117/77 | | | 117/77 | ||
|- | |- | ||
|731.4285714 | |||
| | 64 | | | 64 | ||
| | 192/125 | | | 192/125 | ||
Line 393: | Line 458: | ||
| | 32/21 | | | 32/21 | ||
|- | |- | ||
|742.8571429 | |||
| | 65 | | | 65 | ||
| | 3125/2048 | | | 3125/2048 | ||
Line 399: | Line 465: | ||
| | 20/13 | | | 20/13 | ||
|- | |- | ||
|754.2857143 | |||
| | 66 | | | 66 | ||
| | ? | | | ? | ||
Line 405: | Line 472: | ||
| | 121/78 | | | 121/78 | ||
|- | |- | ||
|765.7142857 | |||
| | 67 | | | 67 | ||
| | 24576/15625 | | | 24576/15625 | ||
Line 411: | Line 479: | ||
| | 39/25 | | | 39/25 | ||
|- | |- | ||
|777.1428571 | |||
| | 68 | | | 68 | ||
| | 25/16 | | | 25/16 | ||
Line 417: | Line 486: | ||
| | 11/7 | | | 11/7 | ||
|- | |- | ||
|788.5714286 | |||
| | 69 | | | 69 | ||
| | ? | | | ? | ||
Line 423: | Line 493: | ||
| | 165/104 | | | 165/104 | ||
|- | |- | ||
|800 | |||
| | 70 | | | 70 | ||
| | ? | | | ? | ||
Line 429: | Line 500: | ||
| | 52/33 | | | 52/33 | ||
|- | |- | ||
|811.4285714 | |||
| | 71 | | | 71 | ||
| | 8/5 | | | 8/5 | ||
Line 435: | Line 507: | ||
| | 8/5 | | | 8/5 | ||
|- | |- | ||
|822.8571429 | |||
| | 72 | | | 72 | ||
| | 78125/49152 | | | 78125/49152 | ||
Line 441: | Line 514: | ||
| | 21/13 | | | 21/13 | ||
|- | |- | ||
|834.2857143 | |||
| | 73 | | | 73 | ||
| | ? | | | ? | ||
Line 447: | Line 521: | ||
| | 169/105 | | | 169/105 | ||
|- | |- | ||
|845.7142857 | |||
| | 74 | | | 74 | ||
| | 1024/625 | | | 1024/625 | ||
Line 453: | Line 528: | ||
| | 13/8 | | | 13/8 | ||
|- | |- | ||
|857.1428571 | |||
| | 75 | | | 75 | ||
| | 625/384 | | | 625/384 | ||
Line 459: | Line 535: | ||
| | 33/20 | | | 33/20 | ||
|- | |- | ||
|868.5714286 | |||
| | 76 | | | 76 | ||
| | ? | | | ? | ||
Line 465: | Line 542: | ||
| | 280/169 | | | 280/169 | ||
|- | |- | ||
|880 | |||
| | 77 | | | 77 | ||
| | ? | | | ? | ||
Line 471: | Line 549: | ||
| | 91/55 | | | 91/55 | ||
|- | |- | ||
|891.4285714 | |||
| | 78 | | | 78 | ||
| | 5/3 | | | 5/3 | ||
Line 477: | Line 556: | ||
| | 5/3 | | | 5/3 | ||
|- | |- | ||
|902.8571429 | |||
| | 79 | | | 79 | ||
| | ? | | | ? | ||
Line 483: | Line 563: | ||
| | 22/13 | | | 22/13 | ||
|- | |- | ||
|914.2857143 | |||
| | 80 | | | 80 | ||
| | ? | | | ? | ||
Line 489: | Line 570: | ||
| | 130/77 | | | 130/77 | ||
|- | |- | ||
|925.7142857 | |||
| | 81 | | | 81 | ||
| | 128/75 | | | 128/75 | ||
Line 495: | Line 577: | ||
| | 12/7 | | | 12/7 | ||
|- | |- | ||
|937.1428571 | |||
| | 82 | | | 82 | ||
| | 15625/9216 | | | 15625/9216 | ||
Line 501: | Line 584: | ||
| | 45/26 | | | 45/26 | ||
|- | |- | ||
|948.5714286 | |||
| | 83 | | | 83 | ||
| | ? | | | ? | ||
Line 507: | Line 591: | ||
| | 169/98 | | | 169/98 | ||
|- | |- | ||
|960 | |||
| | 84 | | | 84 | ||
| | 16384/9375 | | | 16384/9375 | ||
Line 513: | Line 598: | ||
| | 26/15 | | | 26/15 | ||
|- | |- | ||
|971.4285714 | |||
| | 85 | | | 85 | ||
| | 125/72 | | | 125/72 | ||
Line 519: | Line 605: | ||
| | 7/4 | | | 7/4 | ||
|- | |- | ||
|982.8571429 | |||
| | 86 | | | 86 | ||
| | ? | | | ? | ||
Line 525: | Line 612: | ||
| | 231/130 | | | 231/130 | ||
|- | |- | ||
|994.2857143 | |||
| | 87 | | | 87 | ||
| | ? | | | ? | ||
Line 531: | Line 619: | ||
| | 39/22 | | | 39/22 | ||
|- | |- | ||
|1005.714286 | |||
| | 88 | | | 88 | ||
| | 9/5 | | | 9/5 | ||
Line 537: | Line 626: | ||
| | 9/5 | | | 9/5 | ||
|- | |- | ||
|1017.142857 | |||
| | 89 | | | 89 | ||
| | ? | | | ? | ||
Line 543: | Line 633: | ||
| | 70/39 | | | 70/39 | ||
|- | |- | ||
|1028.571429 | |||
| | 90 | | | 90 | ||
| | ? | | | ? | ||
Line 549: | Line 640: | ||
| | 308/169 | | | 308/169 | ||
|- | |- | ||
|1040 | |||
| | 91 | | | 91 | ||
| | 1152/625 | | | 1152/625 | ||
Line 555: | Line 647: | ||
| | 20/11 | | | 20/11 | ||
|- | |- | ||
|1051.428571 | |||
| | 92 | | | 92 | ||
| | 1875/1024 | | | 1875/1024 | ||
Line 561: | Line 654: | ||
| | 11/6 | | | 11/6 | ||
|- | |- | ||
|1062.857143 | |||
| | 93 | | | 93 | ||
| | ? | | | ? | ||
Line 567: | Line 661: | ||
| | 121/65 | | | 121/65 | ||
|- | |- | ||
|1074.285714 | |||
| | 94 | | | 94 | ||
| | ? | | | ? | ||
Line 573: | Line 668: | ||
| | 13/7 | | | 13/7 | ||
|- | |- | ||
|1085.714286 | |||
| | 95 | | | 95 | ||
| | 15/8 | | | 15/8 | ||
Line 579: | Line 675: | ||
| | 15/8 | | | 15/8 | ||
|- | |- | ||
|1097.142857 | |||
| | 96 | | | 96 | ||
| | ? | | | ? | ||
Line 585: | Line 682: | ||
| | 49/26 | | | 49/26 | ||
|- | |- | ||
|1108.571429 | |||
| | 97 | | | 97 | ||
| | ? | | | ? | ||
Line 591: | Line 689: | ||
| | 104/55 | | | 104/55 | ||
|- | |- | ||
|1120 | |||
| | 98 | | | 98 | ||
| | 48/25 | | | 48/25 | ||
Line 597: | Line 696: | ||
| | 21/11 | | | 21/11 | ||
|- | |- | ||
|1131.428571 | |||
| | 99 | | | 99 | ||
| | 15625/8192 | | | 15625/8192 | ||
Line 603: | Line 703: | ||
| | 25/13 | | | 25/13 | ||
|- | |- | ||
|1142.857143 | |||
| | 100 | | | 100 | ||
| | ? | | | ? | ||
Line 609: | Line 710: | ||
| | 169/88 | | | 169/88 | ||
|- | |- | ||
|1154.285714 | |||
| | 101 | | | 101 | ||
| | 6144/3125 | | | 6144/3125 | ||
Line 615: | Line 717: | ||
| | 39/20 | | | 39/20 | ||
|- | |- | ||
|1165.714286 | |||
| | 102 | | | 102 | ||
| | 125/64 | | | 125/64 | ||
Line 621: | Line 724: | ||
| | 35/18 | | | 35/18 | ||
|- | |- | ||
|1177.142857 | |||
| | 103 | | | 103 | ||
| | ? | | | ? | ||
Line 627: | Line 731: | ||
| | 77/39 | | | 77/39 | ||
|- | |- | ||
|1188.571429 | |||
| | 104 | | | 104 | ||
| | ? | | | ? | ||
Line 633: | Line 738: | ||
| | 65/33 | | | 65/33 | ||
|- | |- | ||
|1200 | |||
| | 105 | | | 105 | ||
| | 2/1 | | | 2/1 | ||
Line 638: | Line 744: | ||
| | 2/1 | | | 2/1 | ||
| | 2/1 | | | 2/1 | ||
|- | |||
|1211.428571 | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|} | |} | ||
[[Category:Tables of edo intervals]] | [[Category:Tables of edo intervals]] | ||
[[Category:105edo]] | [[Category:105edo]] |