User:Overthink/Table of 311edo intervals: Difference between revisions
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a few updates |
Corrected the step for the Pythagorean Minor Second based on the mappings. |
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| 23 | | 23 | ||
| 88.746 | | 88.746 | ||
| | |Pythagorean minor 2nd | ||
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| 24 | | 24 | ||
| 92.605 | | 92.605 | ||
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Revision as of 00:44, 19 January 2026
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Note: Second, sixth, and seventh names can be derived from the third names.
| Steps | Cents | Name | Approximate Ratios | ||
|---|---|---|---|---|---|
| 13-limit | 23-limit | 41-limit | |||
| 0 | 0.000 | Unison | 1/1 | ||
| 1 | 3.859 | Keenanisma? | |||
| 2 | 7.717 | Kleisma | |||
| 3 | 11.576 | Semicomma | |||
| 4 | 15.434 | Subcomma | |||
| 5 | 19.293 | Quasicomma | |||
| 6 | 23.151 | Comma | 81/80 | ||
| 7 | 27.010 | Superprime? | 64/63 | ||
| 8 | 30.868 | ||||
| 9 | 34.727 | ||||
| 10 | 38.585 | ||||
| 11 | 42.444 | ||||
| 12 | 46.302 | ||||
| 13 | 50.161 | 36/35 | |||
| 14 | 54.019 | 33/32 | |||
| 15 | 57.878 | ||||
| 16 | 61.736 | Subminor 2nd | 28/27 | ||
| 17 | 65.595 | 27/26 | |||
| 18 | 69.453 | 25/24, 26/25 | |||
| 19 | 73.312 | ||||
| 20 | 77.170 | ||||
| 21 | 81.029 | 22/21 | |||
| 22 | 84.887 | 21/20 | |||
| 23 | 88.746 | Pythagorean minor 2nd | |||
| 24 | 92.605 | ||||
| 25 | 96.463 | ||||
| 26 | 100.322 | ||||
| 27 | 104.180 | ||||
| 28 | 108.039 | ||||
| 29 | 111.897 | Classical minor 2nd | 16/15 | ||
| 30 | 115.756 | 2187/2048 | 31/29 | ||
| 31 | 119.614 | 15/14 | |||
| 32 | 123.473 | ||||
| 33 | 127.331 | 14/13 | |||
| 34 | 131.190 | ||||
| 35 | 135.048 | ||||
| 36 | 138.907 | 13/12 | |||
| 37 | 142.765 | ||||
| 38 | 146.624 | ||||
| 39 | 150.482 | 12/11 | |||
| 40 | 154.341 | ||||
| 41 | 158.199 | ||||
| 42 | 162.058 | ||||
| 43 | 165.916 | 11/10 | |||
| 44 | 169.775 | ||||
| 45 | 173.633 | ||||
| 46 | 177.492 | ||||
| 47 | 181.350 | Classical major 2nd | 10/9 | ||
| 48 | 185.209 | ||||
| 49 | 189.068 | 29/26 | |||
| 50 | 192.926 | Mean major 2nd | 19/17 | ||
| 51 | 196.785 | 28/25 | |||
| 52 | 200.643 | ||||
| 53 | 204.502 | Pythagorean major 2nd | 9/8 | ||
| 54 | 208.360 | ||||
| 55 | 212.219 | ||||
| 56 | 216.077 | ||||
| 57 | 219.936 | ||||
| 58 | 223.794 | ||||
| 59 | 227.653 | ||||
| 60 | 231.511 | Supermajor 2nd | 8/7 | ||
| 61 | 235.370 | ||||
| 62 | 239.228 | ||||
| 63 | 243.087 | ||||
| 64 | 246.945 | 15/13 | |||
| 65 | 250.804 | ||||
| 66 | 254.662 | ||||
| 67 | 258.521 | ||||
| 68 | 262.379 | ||||
| 69 | 266.238 | Subminor 3rd | 7/6 | ||
| 70 | 270.096 | ||||
| 71 | 273.955 | ||||
| 72 | 277.814 | ||||
| 73 | 281.672 | Diatismic minor 3rd | |||
| 74 | 285.531 | Pentacircle minor 3rd | 33/28 | ||
| 75 | 289.389 | Major minthmic minor 3rd | 13/11 | ||
| 76 | 293.248 | Pythagorean minor 3rd | 32/27 | ||
| 77 | 297.106 | Boethius minor 3rd | |||
| 78 | 300.965 | Quasi-tempered minor 3rd? | 25/21 | ||
| 79 | 304.823 | ||||
| 80 | 308.682 | ||||
| 81 | 312.540 | ||||
| 82 | 316.399 | Classical minor 3rd | 6/5 | ||
| 83 | 320.257 | Keenanismic minor 3rd | |||
| 84 | 324.116 | Marvelous minor 3rd | |||
| 85 | 327.974 | Undetricesimal supraminor 3rd | 29/24 | ||
| 86 | 331.833 | ||||
| 87 | 335.691 | ||||
| 88 | 339.550 | ||||
| 89 | 343.408 | Tridecimal subneutral 3rd | 39/32 | ||
| 90 | 347.267 | Undecimal artoneutral 3rd | 11/9 | ||
| 91 | 351.125 | Neutral 3rd | |||
| 92 | 354.984 | Undecimal tendoneutral 3rd | 27/22 | ||
| 93 | 358.842 | Tridecimal supraneutral 3rd | 16/13 | ||
| 94 | 362.701 | ||||
| 95 | 366.559 | ||||
| 96 | 370.418 | ||||
| 97 | 374.277 | Undetricesimal submajor 3rd | 36/29 | ||
| 98 | 378.135 | ||||
| 99 | 381.994 | ||||
| 100 | 385.852 | Classical major 3rd | 5/4 | ||
| 101 | 389.711 | ||||
| 102 | 393.569 | ||||
| 103 | 397.428 | ||||
| 104 | 401.286 | ||||
| 105 | 405.145 | Boethius major 3rd | |||
| 106 | 409.003 | Pythagorean major 3rd | |||
| 107 | 412.862 | Major minthmic major 3rd | |||
| 108 | 416.720 | Pentacircle major 3rd | 14/11 | ||
| 109 | 420.579 | Diatismic major 3rd | |||
| 110 | 424.437 | Shrubmajor 3rd | 23/18 | ||
| 111 | 428.296 | ||||
| 112 | 432.154 | Swetismic supermajor 3rd | |||
| 113 | 436.013 | Septimal major 3rd | 9/7 | ||
| 114 | 439.871 | ||||
| 115 | 443.730 | ||||
| 116 | 447.588 | ||||
| 117 | 451.447 | ||||
| 118 | 455.305 | ||||
| 119 | 459.164 | ||||
| 120 | 463.023 | ||||
| 121 | 466.881 | ||||
| 122 | 470.740 | ||||
| 123 | 474.598 | ||||
| 124 | 478.457 | ||||
| 125 | 482.315 | ||||
| 126 | 486.174 | ||||
| 127 | 490.032 | ||||
| 128 | 493.891 | ||||
| 129 | 497.749 | Perfect fourth | 4/3 | ||
| 130 | 501.608 | ||||
| 131 | 505.466 | ||||
| 132 | 509.325 | ||||
| 133 | 513.183 | ||||
| 134 | 517.042 | ||||
| 135 | 520.900 | ||||
| 136 | 524.759 | ||||
| 137 | 528.617 | ||||
| 138 | 532.476 | ||||
| 139 | 536.334 | ||||
| 140 | 540.193 | ||||
| 141 | 544.051 | ||||
| 142 | 547.910 | ||||
| 143 | 551.768 | ||||
| 144 | 555.627 | ||||
| 145 | 559.486 | ||||
| 146 | 563.344 | ||||
| 147 | 567.203 | ||||
| 148 | 571.061 | ||||
| 149 | 574.920 | ||||
| 150 | 578.778 | ||||
| 151 | 582.637 | ||||
| 152 | 586.495 | ||||
| 153 | 590.354 | ||||
| 154 | 594.212 | ||||
| 155 | 598.071 | ||||
| 156 | 601.929 | ||||
| 157 | 605.788 | ||||
| 158 | 609.646 | ||||
| 159 | 613.505 | ||||
| 160 | 617.363 | ||||
| 161 | 621.222 | ||||
| 162 | 625.080 | ||||
| 163 | 628.939 | ||||
| 164 | 632.797 | ||||
| 165 | 636.656 | ||||
| 166 | 640.514 | ||||
| 167 | 644.373 | ||||
| 168 | 648.232 | ||||
| 169 | 652.090 | ||||
| 170 | 655.949 | ||||
| 171 | 659.807 | ||||
| 172 | 663.666 | ||||
| 173 | 667.524 | ||||
| 174 | 671.383 | ||||
| 175 | 675.241 | ||||
| 176 | 679.100 | Grave fifth | |||
| 177 | 682.958 | ||||
| 178 | 686.817 | ||||
| 179 | 690.675 | ||||
| 180 | 694.534 | ||||
| 181 | 698.392 | ||||
| 182 | 702.251 | Perfect fifth | 3/2 | ||
| 183 | 706.109 | ||||
| 184 | 709.968 | ||||
| 185 | 713.826 | ||||
| 186 | 717.685 | ||||
| 187 | 721.543 | ||||
| 188 | 725.402 | ||||
| 189 | 729.260 | ||||
| 190 | 733.119 | ||||
| 191 | 736.977 | ||||
| 192 | 740.836 | ||||
| 193 | 744.695 | ||||
| 194 | 748.553 | ||||
| 195 | 752.412 | ||||
| 196 | 756.270 | ||||
| 197 | 760.129 | ||||
| 198 | 763.987 | ||||
| 199 | 767.846 | ||||
| 200 | 771.704 | ||||
| 201 | 775.563 | ||||
| 202 | 779.421 | ||||
| 203 | 783.280 | ||||
| 204 | 787.138 | ||||
| 205 | 790.997 | ||||
| 206 | 794.855 | ||||
| 207 | 798.714 | ||||
| 208 | 802.572 | ||||
| 209 | 806.431 | ||||
| 210 | 810.289 | ||||
| 211 | 814.148 | ||||
| 212 | 818.006 | ||||
| 213 | 821.865 | ||||
| 214 | 825.723 | ||||
| 215 | 829.582 | ||||
| 216 | 833.441 | ||||
| 217 | 837.299 | ||||
| 218 | 841.158 | ||||
| 219 | 845.016 | ||||
| 220 | 848.875 | ||||
| 221 | 852.733 | ||||
| 222 | 856.592 | ||||
| 223 | 860.450 | ||||
| 224 | 864.309 | ||||
| 225 | 868.167 | ||||
| 226 | 872.026 | ||||
| 227 | 875.884 | ||||
| 228 | 879.743 | ||||
| 229 | 883.601 | ||||
| 230 | 887.460 | ||||
| 231 | 891.318 | ||||
| 232 | 895.177 | ||||
| 233 | 899.035 | ||||
| 234 | 902.894 | ||||
| 235 | 906.752 | ||||
| 236 | 910.611 | ||||
| 237 | 914.469 | ||||
| 238 | 918.328 | ||||
| 239 | 922.186 | ||||
| 240 | 926.045 | ||||
| 241 | 929.904 | ||||
| 242 | 933.762 | ||||
| 243 | 937.621 | ||||
| 244 | 941.479 | ||||
| 245 | 945.338 | ||||
| 246 | 949.196 | ||||
| 247 | 953.055 | ||||
| 248 | 956.913 | ||||
| 249 | 960.772 | ||||
| 250 | 964.630 | ||||
| 251 | 968.489 | ||||
| 252 | 972.347 | ||||
| 253 | 976.206 | ||||
| 254 | 980.064 | ||||
| 255 | 983.923 | ||||
| 256 | 987.781 | ||||
| 257 | 991.640 | ||||
| 258 | 995.498 | ||||
| 259 | 999.357 | ||||
| 260 | 1003.215 | ||||
| 261 | 1007.074 | ||||
| 262 | 1010.932 | ||||
| 263 | 1014.791 | ||||
| 264 | 1018.650 | ||||
| 265 | 1022.508 | ||||
| 266 | 1026.367 | ||||
| 267 | 1030.225 | ||||
| 268 | 1034.084 | ||||
| 269 | 1037.942 | ||||
| 270 | 1041.801 | ||||
| 271 | 1045.659 | ||||
| 272 | 1049.518 | ||||
| 273 | 1053.376 | ||||
| 274 | 1057.235 | ||||
| 275 | 1061.093 | ||||
| 276 | 1064.952 | ||||
| 277 | 1068.810 | ||||
| 278 | 1072.669 | ||||
| 279 | 1076.527 | ||||
| 280 | 1080.386 | ||||
| 281 | 1084.244 | ||||
| 282 | 1088.103 | ||||
| 283 | 1091.961 | ||||
| 284 | 1095.820 | ||||
| 285 | 1099.678 | ||||
| 286 | 1103.537 | ||||
| 287 | 1107.395 | ||||
| 288 | 1111.254 | ||||
| 289 | 1115.113 | ||||
| 290 | 1118.971 | ||||
| 291 | 1122.830 | ||||
| 292 | 1126.688 | ||||
| 293 | 1130.547 | ||||
| 294 | 1134.405 | ||||
| 295 | 1138.264 | ||||
| 296 | 1142.122 | ||||
| 297 | 1145.981 | ||||
| 298 | 1149.839 | ||||
| 299 | 1153.698 | ||||
| 300 | 1157.556 | ||||
| 301 | 1161.415 | ||||
| 302 | 1165.273 | ||||
| 303 | 1169.132 | ||||
| 304 | 1172.990 | ||||
| 305 | 1176.849 | ||||
| 306 | 1180.707 | ||||
| 307 | 1184.566 | ||||
| 308 | 1188.424 | ||||
| 309 | 1192.283 | ||||
| 310 | 1196.141 | ||||
| 311 | 1200.000 | Octave | 2/1 | ||