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= Testing = | = Testing = | ||
{{Collapsed huge table|311edo}} | |||
= Scratchwork = | = Scratchwork = | ||
{{Q-odd-limit intervals|5}} | {{Q-odd-limit intervals|5}} | ||
= Whatever = | = Whatever = | ||
{{Special:RecentChanges}} | {{Special:RecentChanges}} | ||
Revision as of 06:51, 28 December 2025
Testing
| Steps | Cents | Approximate Ratios | Ups and Downs Notation |
|---|---|---|---|
| 0 | 0 | 1/1 | D |
| 1 | 3.859 | ^D, ^8E♭♭ | |
| 2 | 7.717 | ^^D, ^9E♭♭ | |
| 3 | 11.576 | ^3D, ^10E♭♭ | |
| 4 | 15.434 | ^4D, ^11E♭♭ | |
| 5 | 19.293 | ^5D, ^12E♭♭ | |
| 6 | 23.151 | ^6D, ^13E♭♭ | |
| 7 | 27.01 | ^7D, ^14E♭♭ | |
| 8 | 30.868 | ^8D, v15E♭ | |
| 9 | 34.727 | 49/48, 50/49, 51/50, 52/51 | ^9D, v14E♭ |
| 10 | 38.585 | 45/44, 46/45 | ^10D, v13E♭ |
| 11 | 42.444 | 40/39 | ^11D, v12E♭ |
| 12 | 46.302 | 39/38 | ^12D, v11E♭ |
| 13 | 50.161 | 34/33, 35/34, 36/35 | ^13D, v10E♭ |
| 14 | 54.019 | 33/32 | ^14D, v9E♭ |
| 15 | 57.878 | ^15D, v8E♭ | |
| 16 | 61.736 | 28/27 | v14D♯, v7E♭ |
| 17 | 65.595 | 27/26 | v13D♯, v6E♭ |
| 18 | 69.453 | 25/24, 26/25, 51/49 | v12D♯, v5E♭ |
| 19 | 73.312 | 24/23 | v11D♯, v4E♭ |
| 20 | 77.17 | 23/22 | v10D♯, v3E♭ |
| 21 | 81.029 | 22/21 | v9D♯, vvE♭ |
| 22 | 84.887 | 21/20 | v8D♯, vE♭ |
| 23 | 88.746 | 20/19 | v7D♯, E♭ |
| 24 | 92.605 | 19/18 | v6D♯, ^E♭ |
| 25 | 96.463 | v5D♯, ^^E♭ | |
| 26 | 100.322 | 18/17, 35/33 | v4D♯, ^3E♭ |
| 27 | 104.18 | 17/16, 52/49 | v3D♯, ^4E♭ |
| 28 | 108.039 | 49/46 | vvD♯, ^5E♭ |
| 29 | 111.897 | 16/15 | vD♯, ^6E♭ |
| 30 | 115.756 | D♯, ^7E♭ | |
| 31 | 119.614 | 15/14 | ^D♯, ^8E♭ |
| 32 | 123.473 | ^^D♯, ^9E♭ | |
| 33 | 127.331 | 14/13 | ^3D♯, ^10E♭ |
| 34 | 131.19 | ^4D♯, ^11E♭ | |
| 35 | 135.048 | 27/25 | ^5D♯, ^12E♭ |
| 36 | 138.907 | 13/12 | ^6D♯, ^13E♭ |
| 37 | 142.765 | 25/23, 38/35 | ^7D♯, ^14E♭ |
| 38 | 146.624 | 49/45 | ^8D♯, v15E |
| 39 | 150.482 | 12/11 | ^9D♯, v14E |
| 40 | 154.341 | 35/32 | ^10D♯, v13E |
| 41 | 158.199 | 23/21 | ^11D♯, v12E |
| 42 | 162.058 | ^12D♯, v11E | |
| 43 | 165.916 | 11/10 | ^13D♯, v10E |
| 44 | 169.775 | 54/49 | ^14D♯, v9E |
| 45 | 173.633 | 21/19 | ^15D♯, v8E |
| 46 | 177.492 | 51/46 | v14D𝄪, v7E |
| 47 | 181.35 | 10/9 | v13D𝄪, v6E |
| 48 | 185.209 | 49/44 | v12D𝄪, v5E |
| 49 | 189.068 | 39/35 | v11D𝄪, v4E |
| 50 | 192.926 | 19/17 | v10D𝄪, v3E |
| 51 | 196.785 | 28/25 | v9D𝄪, vvE |
| 52 | 200.643 | v8D𝄪, vE | |
| 53 | 204.502 | 9/8 | E |
| 54 | 208.36 | 44/39 | ^E, ^8F♭ |
| 55 | 212.219 | 26/23 | ^^E, ^9F♭ |
| 56 | 216.077 | 17/15 | ^3E, ^10F♭ |
| 57 | 219.936 | 25/22 | ^4E, ^11F♭ |
| 58 | 223.794 | ^5E, ^12F♭ | |
| 59 | 227.653 | ^6E, ^13F♭ | |
| 60 | 231.511 | 8/7 | ^7E, ^14F♭ |
| 61 | 235.37 | ^8E, v15F | |
| 62 | 239.228 | 39/34 | ^9E, v14F |
| 63 | 243.087 | 23/20, 38/33 | ^10E, v13F |
| 64 | 246.945 | 15/13 | ^11E, v12F |
| 65 | 250.804 | 52/45 | ^12E, v11F |
| 66 | 254.662 | 22/19, 51/44 | ^13E, v10F |
| 67 | 258.521 | ^14E, v9F | |
| 68 | 262.379 | ^15E, v8F | |
| 69 | 266.238 | 7/6 | v14E♯, v7F |
| 70 | 270.096 | v13E♯, v6F | |
| 71 | 273.955 | v12E♯, v5F | |
| 72 | 277.814 | 27/23 | v11E♯, v4F |
| 73 | 281.672 | 20/17 | v10E♯, v3F |
| 74 | 285.531 | 33/28, 46/39 | v9E♯, vvF |
| 75 | 289.389 | 13/11 | v8E♯, vF |
| 76 | 293.248 | 32/27, 45/38 | F |
| 77 | 297.106 | 19/16 | ^F, ^8G♭♭ |
| 78 | 300.965 | 25/21 | ^^F, ^9G♭♭ |
| 79 | 304.823 | ^3F, ^10G♭♭ | |
| 80 | 308.682 | ^4F, ^11G♭♭ | |
| 81 | 312.54 | ^5F, ^12G♭♭ | |
| 82 | 316.399 | 6/5 | ^6F, ^13G♭♭ |
| 83 | 320.257 | ^7F, ^14G♭♭ | |
| 84 | 324.116 | ^8F, v15G♭ | |
| 85 | 327.974 | ^9F, v14G♭ | |
| 86 | 331.833 | 23/19, 40/33 | ^10F, v13G♭ |
| 87 | 335.691 | 17/14 | ^11F, v12G♭ |
| 88 | 339.55 | 28/23 | ^12F, v11G♭ |
| 89 | 343.408 | 39/32 | ^13F, v10G♭ |
| 90 | 347.267 | 11/9 | ^14F, v9G♭ |
| 91 | 351.125 | 49/40 | ^15F, v8G♭ |
| 92 | 354.984 | 27/22 | v14F♯, v7G♭ |
| 93 | 358.842 | 16/13 | v13F♯, v6G♭ |
| 94 | 362.701 | v12F♯, v5G♭ | |
| 95 | 366.559 | 21/17 | v11F♯, v4G♭ |
| 96 | 370.418 | 26/21 | v10F♯, v3G♭ |
| 97 | 374.277 | v9F♯, vvG♭ | |
| 98 | 378.135 | v8F♯, vG♭ | |
| 99 | 381.994 | v7F♯, G♭ | |
| 100 | 385.852 | 5/4 | v6F♯, ^G♭ |
| 101 | 389.711 | v5F♯, ^^G♭ | |
| 102 | 393.569 | 49/39 | v4F♯, ^3G♭ |
| 103 | 397.428 | 34/27, 44/35 | v3F♯, ^4G♭ |
| 104 | 401.286 | vvF♯, ^5G♭ | |
| 105 | 405.145 | 24/19 | vF♯, ^6G♭ |
| 106 | 409.003 | 19/15 | F♯, ^7G♭ |
| 107 | 412.862 | 33/26 | ^F♯, ^8G♭ |
| 108 | 416.72 | 14/11 | ^^F♯, ^9G♭ |
| 109 | 420.579 | 51/40 | ^3F♯, ^10G♭ |
| 110 | 424.437 | 23/18 | ^4F♯, ^11G♭ |
| 111 | 428.296 | 32/25, 50/39 | ^5F♯, ^12G♭ |
| 112 | 432.154 | ^6F♯, ^13G♭ | |
| 113 | 436.013 | 9/7 | ^7F♯, ^14G♭ |
| 114 | 439.871 | 49/38 | ^8F♯, v15G |
| 115 | 443.73 | ^9F♯, v14G | |
| 116 | 447.588 | 22/17, 35/27 | ^10F♯, v13G |
| 117 | 451.447 | ^11F♯, v12G | |
| 118 | 455.305 | 13/10 | ^12F♯, v11G |
| 119 | 459.164 | 30/23 | ^13F♯, v10G |
| 120 | 463.023 | 17/13 | ^14F♯, v9G |
| 121 | 466.881 | ^15F♯, v8G | |
| 122 | 470.74 | 21/16 | v14F𝄪, v7G |
| 123 | 474.598 | 25/19, 46/35 | v13F𝄪, v6G |
| 124 | 478.457 | v12F𝄪, v5G | |
| 125 | 482.315 | 33/25 | v11F𝄪, v4G |
| 126 | 486.174 | 45/34 | v10F𝄪, v3G |
| 127 | 490.032 | v9F𝄪, vvG | |
| 128 | 493.891 | v8F𝄪, vG | |
| 129 | 497.749 | 4/3 | G |
| 130 | 501.608 | ^G, ^8A♭♭ | |
| 131 | 505.466 | ^^G, ^9A♭♭ | |
| 132 | 509.325 | 51/38 | ^3G, ^10A♭♭ |
| 133 | 513.183 | 35/26 | ^4G, ^11A♭♭ |
| 134 | 517.042 | ^5G, ^12A♭♭ | |
| 135 | 520.9 | 27/20 | ^6G, ^13A♭♭ |
| 136 | 524.759 | 23/17 | ^7G, ^14A♭♭ |
| 137 | 528.617 | 19/14 | ^8G, v15A♭ |
| 138 | 532.476 | 34/25, 49/36 | ^9G, v14A♭ |
| 139 | 536.334 | 15/11 | ^10G, v13A♭ |
| 140 | 540.193 | ^11G, v12A♭ | |
| 141 | 544.051 | 26/19 | ^12G, v11A♭ |
| 142 | 547.91 | 48/35 | ^13G, v10A♭ |
| 143 | 551.768 | 11/8 | ^14G, v9A♭ |
| 144 | 555.627 | ^15G, v8A♭ | |
| 145 | 559.486 | v14G♯, v7A♭ | |
| 146 | 563.344 | 18/13 | v13G♯, v6A♭ |
| 147 | 567.203 | 25/18 | v12G♯, v5A♭ |
| 148 | 571.061 | 32/23 | v11G♯, v4A♭ |
| 149 | 574.92 | 39/28, 46/33 | v10G♯, v3A♭ |
| 150 | 578.778 | v9G♯, vvA♭ | |
| 151 | 582.637 | 7/5 | v8G♯, vA♭ |
| 152 | 586.495 | v7G♯, A♭ | |
| 153 | 590.354 | 38/27, 45/32 | v6G♯, ^A♭ |
| 154 | 594.212 | v5G♯, ^^A♭ | |
| 155 | 598.071 | 24/17 | v4G♯, ^3A♭ |
| 156 | 601.929 | 17/12 | v3G♯, ^4A♭ |
| 157 | 605.788 | vvG♯, ^5A♭ | |
| 158 | 609.646 | 27/19 | vG♯, ^6A♭ |
| 159 | 613.505 | G♯, ^7A♭ | |
| 160 | 617.363 | 10/7 | ^G♯, ^8A♭ |
| 161 | 621.222 | ^^G♯, ^9A♭ | |
| 162 | 625.08 | 33/23 | ^3G♯, ^10A♭ |
| 163 | 628.939 | 23/16 | ^4G♯, ^11A♭ |
| 164 | 632.797 | 36/25, 49/34 | ^5G♯, ^12A♭ |
| 165 | 636.656 | 13/9 | ^6G♯, ^13A♭ |
| 166 | 640.514 | ^7G♯, ^14A♭ | |
| 167 | 644.373 | ^8G♯, v15A | |
| 168 | 648.232 | 16/11 | ^9G♯, v14A |
| 169 | 652.09 | 35/24, 51/35 | ^10G♯, v13A |
| 170 | 655.949 | 19/13 | ^11G♯, v12A |
| 171 | 659.807 | ^12G♯, v11A | |
| 172 | 663.666 | 22/15 | ^13G♯, v10A |
| 173 | 667.524 | 25/17 | ^14G♯, v9A |
| 174 | 671.383 | 28/19 | ^15G♯, v8A |
| 175 | 675.241 | 34/23 | v14G𝄪, v7A |
| 176 | 679.1 | 40/27 | v13G𝄪, v6A |
| 177 | 682.958 | 49/33 | v12G𝄪, v5A |
| 178 | 686.817 | 52/35 | v11G𝄪, v4A |
| 179 | 690.675 | v10G𝄪, v3A | |
| 180 | 694.534 | v9G𝄪, vvA | |
| 181 | 698.392 | v8G𝄪, vA | |
| 182 | 702.251 | 3/2 | A |
| 183 | 706.109 | ^A, ^8B♭♭ | |
| 184 | 709.968 | ^^A, ^9B♭♭ | |
| 185 | 713.826 | ^3A, ^10B♭♭ | |
| 186 | 717.685 | 50/33 | ^4A, ^11B♭♭ |
| 187 | 721.543 | ^5A, ^12B♭♭ | |
| 188 | 725.402 | 35/23, 38/25 | ^6A, ^13B♭♭ |
| 189 | 729.26 | 32/21 | ^7A, ^14B♭♭ |
| 190 | 733.119 | ^8A, v15B♭ | |
| 191 | 736.977 | 26/17, 49/32 | ^9A, v14B♭ |
| 192 | 740.836 | 23/15 | ^10A, v13B♭ |
| 193 | 744.695 | 20/13 | ^11A, v12B♭ |
| 194 | 748.553 | ^12A, v11B♭ | |
| 195 | 752.412 | 17/11, 54/35 | ^13A, v10B♭ |
| 196 | 756.27 | ^14A, v9B♭ | |
| 197 | 760.129 | ^15A, v8B♭ | |
| 198 | 763.987 | 14/9 | v14A♯, v7B♭ |
| 199 | 767.846 | v13A♯, v6B♭ | |
| 200 | 771.704 | 25/16, 39/25 | v12A♯, v5B♭ |
| 201 | 775.563 | 36/23 | v11A♯, v4B♭ |
| 202 | 779.421 | v10A♯, v3B♭ | |
| 203 | 783.28 | 11/7 | v9A♯, vvB♭ |
| 204 | 787.138 | 52/33 | v8A♯, vB♭ |
| 205 | 790.997 | 30/19 | v7A♯, B♭ |
| 206 | 794.855 | 19/12 | v6A♯, ^B♭ |
| 207 | 798.714 | v5A♯, ^^B♭ | |
| 208 | 802.572 | 27/17, 35/22 | v4A♯, ^3B♭ |
| 209 | 806.431 | 51/32 | v3A♯, ^4B♭ |
| 210 | 810.289 | vvA♯, ^5B♭ | |
| 211 | 814.148 | 8/5 | vA♯, ^6B♭ |
| 212 | 818.006 | A♯, ^7B♭ | |
| 213 | 821.865 | 45/28 | ^A♯, ^8B♭ |
| 214 | 825.723 | ^^A♯, ^9B♭ | |
| 215 | 829.582 | 21/13 | ^3A♯, ^10B♭ |
| 216 | 833.441 | 34/21 | ^4A♯, ^11B♭ |
| 217 | 837.299 | ^5A♯, ^12B♭ | |
| 218 | 841.158 | 13/8 | ^6A♯, ^13B♭ |
| 219 | 845.016 | 44/27 | ^7A♯, ^14B♭ |
| 220 | 848.875 | 49/30 | ^8A♯, v15B |
| 221 | 852.733 | 18/11 | ^9A♯, v14B |
| 222 | 856.592 | ^10A♯, v13B | |
| 223 | 860.45 | 23/14 | ^11A♯, v12B |
| 224 | 864.309 | 28/17 | ^12A♯, v11B |
| 225 | 868.167 | 33/20, 38/23 | ^13A♯, v10B |
| 226 | 872.026 | ^14A♯, v9B | |
| 227 | 875.884 | ^15A♯, v8B | |
| 228 | 879.743 | v14A𝄪, v7B | |
| 229 | 883.601 | 5/3 | v13A𝄪, v6B |
| 230 | 887.46 | v12A𝄪, v5B | |
| 231 | 891.318 | v11A𝄪, v4B | |
| 232 | 895.177 | v10A𝄪, v3B | |
| 233 | 899.035 | 42/25 | v9A𝄪, vvB |
| 234 | 902.894 | 32/19 | v8A𝄪, vB |
| 235 | 906.752 | 27/16 | B |
| 236 | 910.611 | 22/13 | ^B, ^8C♭ |
| 237 | 914.469 | 39/23 | ^^B, ^9C♭ |
| 238 | 918.328 | 17/10 | ^3B, ^10C♭ |
| 239 | 922.186 | 46/27 | ^4B, ^11C♭ |
| 240 | 926.045 | ^5B, ^12C♭ | |
| 241 | 929.904 | ^6B, ^13C♭ | |
| 242 | 933.762 | 12/7 | ^7B, ^14C♭ |
| 243 | 937.621 | ^8B, v15C | |
| 244 | 941.479 | ^9B, v14C | |
| 245 | 945.338 | 19/11 | ^10B, v13C |
| 246 | 949.196 | 45/26 | ^11B, v12C |
| 247 | 953.055 | 26/15 | ^12B, v11C |
| 248 | 956.913 | 33/19, 40/23 | ^13B, v10C |
| 249 | 960.772 | ^14B, v9C | |
| 250 | 964.63 | ^15B, v8C | |
| 251 | 968.489 | 7/4 | v14B♯, v7C |
| 252 | 972.347 | v13B♯, v6C | |
| 253 | 976.206 | v12B♯, v5C | |
| 254 | 980.064 | 44/25 | v11B♯, v4C |
| 255 | 983.923 | 30/17 | v10B♯, v3C |
| 256 | 987.781 | 23/13 | v9B♯, vvC |
| 257 | 991.64 | 39/22 | v8B♯, vC |
| 258 | 995.498 | 16/9 | C |
| 259 | 999.357 | ^C, ^8D♭♭ | |
| 260 | 1003.215 | 25/14 | ^^C, ^9D♭♭ |
| 261 | 1007.074 | 34/19 | ^3C, ^10D♭♭ |
| 262 | 1010.932 | ^4C, ^11D♭♭ | |
| 263 | 1014.791 | ^5C, ^12D♭♭ | |
| 264 | 1018.65 | 9/5 | ^6C, ^13D♭♭ |
| 265 | 1022.508 | ^7C, ^14D♭♭ | |
| 266 | 1026.367 | 38/21 | ^8C, v15D♭ |
| 267 | 1030.225 | 49/27 | ^9C, v14D♭ |
| 268 | 1034.084 | 20/11 | ^10C, v13D♭ |
| 269 | 1037.942 | 51/28 | ^11C, v12D♭ |
| 270 | 1041.801 | 42/23 | ^12C, v11D♭ |
| 271 | 1045.659 | ^13C, v10D♭ | |
| 272 | 1049.518 | 11/6 | ^14C, v9D♭ |
| 273 | 1053.376 | ^15C, v8D♭ | |
| 274 | 1057.235 | 35/19, 46/25 | v14C♯, v7D♭ |
| 275 | 1061.093 | 24/13 | v13C♯, v6D♭ |
| 276 | 1064.952 | 50/27 | v12C♯, v5D♭ |
| 277 | 1068.81 | v11C♯, v4D♭ | |
| 278 | 1072.669 | 13/7 | v10C♯, v3D♭ |
| 279 | 1076.527 | v9C♯, vvD♭ | |
| 280 | 1080.386 | 28/15 | v8C♯, vD♭ |
| 281 | 1084.244 | v7C♯, D♭ | |
| 282 | 1088.103 | 15/8 | v6C♯, ^D♭ |
| 283 | 1091.961 | v5C♯, ^^D♭ | |
| 284 | 1095.82 | 32/17, 49/26 | v4C♯, ^3D♭ |
| 285 | 1099.678 | 17/9 | v3C♯, ^4D♭ |
| 286 | 1103.537 | vvC♯, ^5D♭ | |
| 287 | 1107.395 | 36/19 | vC♯, ^6D♭ |
| 288 | 1111.254 | 19/10 | C♯, ^7D♭ |
| 289 | 1115.113 | 40/21 | ^C♯, ^8D♭ |
| 290 | 1118.971 | 21/11 | ^^C♯, ^9D♭ |
| 291 | 1122.83 | 44/23 | ^3C♯, ^10D♭ |
| 292 | 1126.688 | 23/12 | ^4C♯, ^11D♭ |
| 293 | 1130.547 | 25/13, 48/25 | ^5C♯, ^12D♭ |
| 294 | 1134.405 | 52/27 | ^6C♯, ^13D♭ |
| 295 | 1138.264 | 27/14 | ^7C♯, ^14D♭ |
| 296 | 1142.122 | ^8C♯, v15D | |
| 297 | 1145.981 | ^9C♯, v14D | |
| 298 | 1149.839 | 33/17, 35/18 | ^10C♯, v13D |
| 299 | 1153.698 | ^11C♯, v12D | |
| 300 | 1157.556 | 39/20 | ^12C♯, v11D |
| 301 | 1161.415 | 45/23 | ^13C♯, v10D |
| 302 | 1165.273 | 49/25, 51/26 | ^14C♯, v9D |
| 303 | 1169.132 | ^15C♯, v8D | |
| 304 | 1172.99 | v14C𝄪, v7D | |
| 305 | 1176.849 | v13C𝄪, v6D | |
| 306 | 1180.707 | v12C𝄪, v5D | |
| 307 | 1184.566 | v11C𝄪, v4D | |
| 308 | 1188.424 | v10C𝄪, v3D | |
| 309 | 1192.283 | v9C𝄪, vvD | |
| 310 | 1196.141 | v8C𝄪, vD | |
| 311 | 1200 | 2/1 | D |
Scratchwork
The following tables show how 15-odd-limit intervals are represented in 5edo. Prime harmonics are in bold; inconsistent intervals are in italics.
| Interval and complement | Error (abs, ¢) | Error (rel, %) |
|---|---|---|
| 1/1, 2/1 | 0.000 | 0.0 |
| 15/13, 26/15 | 7.741 | 3.2 |
| 7/4, 8/7 | 8.826 | 3.7 |
| 3/2, 4/3 | 18.045 | 7.5 |
| 13/10, 20/13 | 25.786 | 10.7 |
| 7/6, 12/7 | 26.871 | 11.2 |
| 9/8, 16/9 | 36.090 | 15.0 |
| 9/7, 14/9 | 44.916 | 18.7 |
| 13/11, 22/13 | 49.210 | 20.5 |
| 15/11, 22/15 | 56.951 | 23.7 |
| 9/5, 10/9 | 57.596 | 24.0 |
| 11/7, 14/11 | 62.492 | 26.0 |
| 11/8, 16/11 | 71.318 | 29.7 |
| 11/10, 20/11 | 74.996 | 31.2 |
| 5/3, 6/5 | 75.641 | 31.5 |
| 13/9, 18/13 | 83.382 | 34.7 |
| 11/6, 12/11 | 89.363 | 37.2 |
| 5/4, 8/5 | 93.686 | 39.0 |
| 13/12, 24/13 | 101.427 | 42.3 |
| 7/5, 10/7 | 102.512 | 42.7 |
| 11/9, 18/11 | 107.408 | 44.8 |
| 13/7, 14/13 | 111.702 | 46.5 |
| 15/8, 16/15 | 111.731 | 46.6 |
| 15/14, 28/15 | 119.443 | 49.8 |
| 13/8, 16/13 | 119.472 | 49.8 |
| Interval and complement | Error (abs, ¢) | Error (rel, %) |
|---|---|---|
| 1/1, 2/1 | 0.000 | 0.0 |
| 15/13, 26/15 | 7.741 | 3.2 |
| 7/4, 8/7 | 8.826 | 3.7 |
| 3/2, 4/3 | 18.045 | 7.5 |
| 13/10, 20/13 | 25.786 | 10.7 |
| 7/6, 12/7 | 26.871 | 11.2 |
| 9/8, 16/9 | 36.090 | 15.0 |
| 9/7, 14/9 | 44.916 | 18.7 |
| 9/5, 10/9 | 57.596 | 24.0 |
| 11/7, 14/11 | 62.492 | 26.0 |
| 11/8, 16/11 | 71.318 | 29.7 |
| 5/3, 6/5 | 75.641 | 31.5 |
| 13/9, 18/13 | 83.382 | 34.7 |
| 11/6, 12/11 | 89.363 | 37.2 |
| 5/4, 8/5 | 93.686 | 39.0 |
| 13/12, 24/13 | 101.427 | 42.3 |
| 7/5, 10/7 | 102.512 | 42.7 |
| 11/9, 18/11 | 107.408 | 44.8 |
| 15/8, 16/15 | 111.731 | 46.6 |
| 13/8, 16/13 | 119.472 | 49.8 |
| 15/14, 28/15 | 120.557 | 50.2 |
| 13/7, 14/13 | 128.298 | 53.5 |
| 11/10, 20/11 | 165.004 | 68.8 |
| 15/11, 22/15 | 183.049 | 76.3 |
| 13/11, 22/13 | 190.790 | 79.5 |
Whatever
List of abbreviations:
- N
- This edit created a new page (also see list of new pages)
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- This is a minor edit
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- This edit was performed by a bot
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24 September 2026
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11:39 | 18ifdo 6 changes history +188 [Lucius Chiaraviglio; BudjarnLambeth (5×)] | |||
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11:39 (cur | prev) +638 BudjarnLambeth talk contribs (→Modes: 11/8 is increasingly important in higher octaves as 11/4, 11/2, etc so worth including) | |||
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11:21 (cur | prev) −448 BudjarnLambeth talk contribs (→Modes: highlight only major third not supermajor third cells because supermajor thirds are significantly less consonant) | |||
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11:06 (cur | prev) −16 BudjarnLambeth talk contribs | |||
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11:05 (cur | prev) −946 BudjarnLambeth talk contribs (→Modes: added major sixths and changed colour scheme to loosely reflect consonance) | |||
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10:56 (cur | prev) +790 BudjarnLambeth talk contribs (→Modes) | |||
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06:59 (cur | prev) +170 Lucius Chiaraviglio talk contribs (→Music: Add Claudi Meneghin's ''A 2-in-1 canon in F for organ (short version), in 18-IFDO, for baroque oboe and bassoon'' (2026)) | ||||
| 11:17 | 80/63 diffhist +4 Hotcrystal0 talk contribs (This.) | ||||
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11:13 | User:Hotcrystal0 2 changes history +82 [Hotcrystal0 (2×)] | |||
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11:13 (cur | prev) +30 Hotcrystal0 talk contribs | ||||
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11:13 (cur | prev) +52 Hotcrystal0 talk contribs | ||||
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N 11:13 | User:Hotcrystal0/Proposed search program names 2 changes history +627 [Hotcrystal0 (2×)] | |||
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11:13 (cur | prev) +43 Hotcrystal0 talk contribs | ||||
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11:12 (cur | prev) +584 Hotcrystal0 talk contribs (Created page with "'''Disclaimer: This page is a joke.''' Some search programs for Conway's Game of Life and other cellular automata have names consisting of L's and S's. Since this can be very confusing, I've proposed the following names for them, using MOS scales as the basis: * LLS → Trial/Fibotonic * LSS → Antrial/Lucatonic * LSSS → Antetric * LLSSS → Pentatonic * LLLSSSSSSSS (Lattice Life Logic Slice Satisfiability Search for Smallest Spaceships Supporting Specific Speeds) (...") | |||
| m 10:44 | Monthly Tunings diffhist +161 BudjarnLambeth talk contribs (→2026: add new) | ||||
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10:43 | Gallery of combination product sets 2 changes history +76 [BudjarnLambeth (2×)] | |||
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10:43 (cur | prev) +23 BudjarnLambeth talk contribs (→1.n: add new) | ||||
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03:07 (cur | prev) +53 BudjarnLambeth talk contribs (→In no-3s subgroups: add new) | ||||
| N 08:23 | 1-5-13-17 hexany diffhist +743 Yourmusic Productions talk contribs (Create Page.) | ||||
| 06:46 | Upload log Yourmusic Productions talk contribs uploaded File:1-5-13-17 Hexany.png (Made with [https://nickvuci.github.io/ScaleCircle ''ScaleCircle''] by Nick Vuci.) | ||||
| 05:59 | Xenharmonic Wiki talk:Introduction diffhist +255 BudjarnLambeth talk contribs (Should we link Xen concepts for beginners somewhere on this page?) | ||||
| m 05:53 | Frequently asked questions diffhist +8 BudjarnLambeth talk contribs (→About the wiki) | ||||
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05:30 | 43edo 2 changes history +199 [Lucius Chiaraviglio (2×)] | |||
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05:30 (cur | prev) 0 Lucius Chiaraviglio talk contribs (→Modern renderings: Last entry is actually from 2026, not 2024) | |||
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05:26 (cur | prev) +199 Lucius Chiaraviglio talk contribs (→Modern renderings: Add Modest Mussorgsky's ''«Gnomus» from «Pictures at an Exhibition»'' (1874) – arranged for harpsichord and rendered by Claudi Meneghin (2024)) | ||||
| 05:29 | 41edo/Music diffhist +199 Lucius Chiaraviglio talk contribs (→Modern renderings: Add Modest Mussorgsky's ''«Gnomus» from «Pictures at an Exhibition»'' (1874) – arranged for harpsichord and rendered by Claudi Meneghin (2026)) | ||||
| 05:17 | 31edo/Music diffhist +143 Lucius Chiaraviglio talk contribs (→Modern renderings: Add Ween's ''Birthday Boy'' (1990) – microtonal cover in 31edo by Bryan Deister (2026)) | ||||
| 04:53 | 13edo/Music diffhist +162 Lucius Chiaraviglio talk contribs (→21st century: Add Noah Jordan's ''Microtonal Ambient Music in 13-EDO | Endless Wind Over the Grass (Tottori, Japan)'' (2026)) | ||||
23 September 2026
| 23:14 | Interval family diffhist +703 Currywurst44 talk contribs (Interval set family table completed) | ||||
| m 22:11 | 253389edo diffhist +140 Royalmilktea talk contribs (more harmonics) | ||||
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21:26 | Talk:Minimal consistent EDOs 2 changes history +477 [Currywurst44 (2×)] | |||
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21:26 (cur | prev) +118 Currywurst44 talk contribs (Changes applied) | ||||
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17:15 (cur | prev) +359 Currywurst44 talk contribs (Suggest linking the first mention of each edo in every column) | ||||
| m 21:21 | Minimal consistent EDOs diffhist +49 Currywurst44 talk contribs (Use visual edit to add links to new edos in columns that were mentioned elsewhere but whose previous mention isn't already in the same row.) | ||||
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17:08 | Fluid piano 2 changes history +2,162 [Lucius Chiaraviglio (2×)] | |||
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17:08 (cur | prev) +2,110 Lucius Chiaraviglio talk contribs (Add web site for performer Utsav Lal; add web site for Geoffrey Smith; add the aforementioned Google Gemini search (dynamic output — may change over time)) | ||||
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16:51 (cur | prev) +52 Lucius Chiaraviglio talk contribs (→Description: The old fluid piano web site (dubious to start with, so never linked here) disappeared; Gemini found a new web site for the fluid piano — add link; this also has links to some more performances, although at least one of them duplicates an already-linked video) | ||||
| m 16:21 | History and philosophy of xenharmonic music diffhist −1 Xenjacob talk contribs (→Setting the Stage: it's -> its) | ||||
| m 15:48 | Template:Monzo/doc diffhist −22 FloraC talk contribs (Left-align variable-length table contents) | ||||
| m 15:48 | Template:Val/doc diffhist −22 FloraC talk contribs (Left-align variable-length table contents) | ||||
| 15:47 | User:Lucius Chiaraviglio/Keyboard Layout Lab/Various rank-3 temperament Lumatone mappings diffhist +1,791 Lucius Chiaraviglio talk contribs (→Biyatismic family rank-3 variant with Magic (Witchcraft) generator Lumatone mappings: Insert Porwell Lumatone mappings (temporarily moved up for visibility) above this, starting with Bryan Deister's Lumatone mapping for 84edo) | ||||
| 15:46 | Template:Multival/doc diffhist −181 FloraC talk contribs (Update; left-align variable-length table contents) | ||||
| m 15:46 | Template:Multimonzo/doc diffhist −11 FloraC talk contribs (Left-align variable-length table contents) | ||||
| 15:45 | Lumatone mapping for 84edo diffhist +1,603 Lucius Chiaraviglio talk contribs (→Orwell: Insert Bryan Deister's Porwell mapping after this) | ||||
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15:44 | Template:Multival 2 changes history −109 [FloraC (2×)] | |||
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15:44 (cur | prev) −68 FloraC talk contribs (No longer need the functionality of a legend. Match it with Template: Multimonzo) | ||||
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15:29 (cur | prev) −41 FloraC talk contribs (- badass invalid character; - val class (has no effects)) | ||||
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m 15:42 | Template:Multimonzo 2 changes history −27 [FloraC (2×)] | |||
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15:42 (cur | prev) 0 FloraC talk contribs (There was another decimal HTML) | |||
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15:34 (cur | prev) −27 FloraC talk contribs (- monzo class (has no effects)) | |||
| m 15:40 | Template:Ket/doc diffhist +16 FloraC talk contribs (Partial undo) | ||||
| m 15:39 | Template:Bra/doc diffhist +16 FloraC talk contribs (Partial undo) | ||||
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14:27 | Lumatone mapping for 100edo 3 changes history +2,249 [Lucius Chiaraviglio (3×)] | |||
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14:27 (cur | prev) +17 Lucius Chiaraviglio talk contribs (→Submerged-related rank-2 temperament: Add the interval corresponding to the flat fourth) | |||
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14:25 (cur | prev) +222 Lucius Chiaraviglio talk contribs (→Unnamed rank-2 temperament: --> Submerged-related rank-2 temperament) | ||||
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14:13 (cur | prev) +2,010 Lucius Chiaraviglio talk contribs (→Other Mappings: --> Unnamed rank-2 temperament; flesh out description a bit; insert Bryan Deister's unnamed rank-3 temperament mapping after this) | ||||
| 08:17 | User:Lucius Chiaraviglio/Keyboard Layout Lab/Unnamed rank-3 temperament Lumatone mappings diffhist +120 Lucius Chiaraviglio talk contribs (→100edo (demonstrated to work but awaiting approval): Got approval with instructions to fix note 0 position) | ||||
| 08:04 | Lumatone mapping for 99edo diffhist +675 Lucius Chiaraviglio talk contribs (→Diatonic: Insert Bryan Deister's 49L 1s MOS subset pseudo-isomorphic pseudo-diatonic mapping after this) | ||||