User:Overthink/Table of 311edo intervals: Difference between revisions
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{| class="wikitable mw-collapsible right-1 right-2" | {| class="wikitable mw-collapsible right-1 right-2" | ||
|+ Intervals of 311edo | |+ Intervals of 311edo | ||
|- | |- | ||
! rowspan=2 | Steps | ! rowspan="2" | Steps | ||
! rowspan=2 | Cents | ! rowspan="2" | Cents | ||
! rowspan=2 | Name | ! rowspan="2" | Name | ||
! colspan=3 | Approximate Ratios | ! colspan="3" | Approximate Ratios | ||
|- | |- | ||
! 13-limit | ! 13-limit | ||
| Line 13: | Line 14: | ||
| 0 | | 0 | ||
| 0.000 | | 0.000 | ||
| | |Unison | ||
| | |[[1/1]] | ||
| | | | ||
| | | | ||
| Line 20: | Line 21: | ||
| 1 | | 1 | ||
| 3.859 | | 3.859 | ||
| | |Superprime | ||
| | | | ||
| | | | ||
| Line 27: | Line 28: | ||
| 2 | | 2 | ||
| 7.717 | | 7.717 | ||
| | |Kleisma | ||
| | | | ||
| | | | ||
| Line 34: | Line 35: | ||
| 3 | | 3 | ||
| 11.576 | | 11.576 | ||
| | |Semicomma | ||
| | | | ||
| | | | ||
| Line 41: | Line 42: | ||
| 4 | | 4 | ||
| 15.434 | | 15.434 | ||
| | |Subcomma | ||
| | | | ||
| | | | ||
| Line 48: | Line 49: | ||
| 5 | | 5 | ||
| 19.293 | | 19.293 | ||
| | |Quasicomma | ||
| | | | ||
| | | | ||
| Line 55: | Line 56: | ||
| 6 | | 6 | ||
| 23.151 | | 23.151 | ||
| | |Comma | ||
| | |[[81/80]] | ||
| | | | ||
| | | | ||
| Line 62: | Line 63: | ||
| 7 | | 7 | ||
| 27.010 | | 27.010 | ||
| | |Paracomma? | ||
| | |[[64/63]] | ||
| | | | ||
| | | | ||
| Line 105: | Line 106: | ||
| 50.161 | | 50.161 | ||
| | | | ||
| | |[[36/35]] | ||
| | | | ||
| | | | ||
| Line 112: | Line 113: | ||
| 54.019 | | 54.019 | ||
| | | | ||
| | |[[33/32]] | ||
| | | | ||
| | | | ||
| Line 125: | Line 126: | ||
| 16 | | 16 | ||
| 61.736 | | 61.736 | ||
| | |Subminor 2nd | ||
| | |[[28/27]] | ||
| | | | ||
| | | | ||
| Line 133: | Line 134: | ||
| 65.595 | | 65.595 | ||
| | | | ||
| | |[[27/26]] | ||
| | | | ||
| | | | ||
| Line 140: | Line 141: | ||
| 69.453 | | 69.453 | ||
| | | | ||
| | |[[25/24]], [[26/25]] | ||
| | | | ||
| | | | ||
| Line 161: | Line 162: | ||
| 81.029 | | 81.029 | ||
| | | | ||
| | |[[22/21]] | ||
| | | | ||
| | | | ||
| Line 168: | Line 169: | ||
| 84.887 | | 84.887 | ||
| | | | ||
| | |[[21/20]] | ||
| | | | ||
| | | | ||
| Line 217: | Line 218: | ||
| 111.897 | | 111.897 | ||
| | | | ||
| | |[[16/15]] | ||
| | | | ||
| | | | ||
| Line 224: | Line 225: | ||
| 115.756 | | 115.756 | ||
| | | | ||
|''[[2187/2048]]'' | |||
| | | | ||
| | |[[31/29]] | ||
|- | |- | ||
| 31 | | 31 | ||
| 119.614 | | 119.614 | ||
| | | | ||
| | |[[15/14]] | ||
| | | | ||
| | | | ||
| Line 245: | Line 246: | ||
| 127.331 | | 127.331 | ||
| | | | ||
| | |[[14/13]] | ||
| | | | ||
| | | | ||
| Line 266: | Line 267: | ||
| 138.907 | | 138.907 | ||
| | | | ||
| | |[[13/12]] | ||
| | | | ||
| | | | ||
| Line 287: | Line 288: | ||
| 150.482 | | 150.482 | ||
| | | | ||
| | |[[12/11]] | ||
| | | | ||
| | | | ||
| Line 315: | Line 316: | ||
| 165.916 | | 165.916 | ||
| | | | ||
| | |[[11/10]] | ||
| | | | ||
| | | | ||
| Line 342: | Line 343: | ||
| 47 | | 47 | ||
| 181.350 | | 181.350 | ||
| | |Classical major 2nd | ||
| | |[[10/9]] | ||
| | | | ||
| | | | ||
| Line 359: | Line 360: | ||
| | | | ||
| | | | ||
| | |[[29/26]] | ||
|- | |- | ||
| 50 | | 50 | ||
| 192.926 | | 192.926 | ||
|Mean major 2nd | |||
| | | | ||
| | |[[19/17]] | ||
| | | | ||
|- | |- | ||
| Line 372: | Line 373: | ||
| | | | ||
| | | | ||
| | |[[28/25]] | ||
| | | | ||
|- | |- | ||
| Line 384: | Line 385: | ||
| 53 | | 53 | ||
| 204.502 | | 204.502 | ||
| | |Pythagorean major 2nd | ||
| | |[[9/8]] | ||
| | | | ||
| | | | ||
| Line 434: | Line 435: | ||
| 231.511 | | 231.511 | ||
| | | | ||
| | |[[8/7]] | ||
| | | | ||
| | | | ||
| Line 462: | Line 463: | ||
| 246.945 | | 246.945 | ||
| | | | ||
| | |[[15/13]] | ||
| | | | ||
| | | | ||
| Line 497: | Line 498: | ||
| 266.238 | | 266.238 | ||
| | | | ||
| | |[[7/6]] | ||
| | | | ||
| | | | ||
| Line 524: | Line 525: | ||
| 73 | | 73 | ||
| 281.672 | | 281.672 | ||
| | |Paragothic minor 3rd | ||
| | | | ||
| | | | ||
| Line 531: | Line 532: | ||
| 74 | | 74 | ||
| 285.531 | | 285.531 | ||
| | |Neogothic minor 3rd | ||
| | |[[33/28]] | ||
| | | | ||
| | | | ||
| Line 538: | Line 539: | ||
| 75 | | 75 | ||
| 289.389 | | 289.389 | ||
| | |Quasineo minor 3rd | ||
| | |[[13/11]] | ||
| | | | ||
| | | | ||
| Line 545: | Line 546: | ||
| 76 | | 76 | ||
| 293.248 | | 293.248 | ||
| | |Pythagorean minor 3rd | ||
| | |[[32/27]] | ||
| | | | ||
| | | | ||
| Line 560: | Line 561: | ||
| 300.965 | | 300.965 | ||
| | | | ||
| | |[[25/21]] | ||
| | | | ||
| | | | ||
| Line 587: | Line 588: | ||
| 82 | | 82 | ||
| 316.399 | | 316.399 | ||
| | |Classical minor 3rd | ||
| | |[[6/5]] | ||
| | | | ||
| | | | ||
| Line 629: | Line 630: | ||
| 88 | | 88 | ||
| 339.550 | | 339.550 | ||
| | |Acute minor 3rd | ||
| | | | ||
| | | | ||
| Line 636: | Line 637: | ||
| 89 | | 89 | ||
| 343.408 | | 343.408 | ||
| | |Subneutral 3rd | ||
| | |[[39/32]] | ||
| | | | ||
| | | | ||
| Line 643: | Line 644: | ||
| 90 | | 90 | ||
| 347.267 | | 347.267 | ||
| | |Artoneutral 3rd | ||
| | |[[11/9]] | ||
| | | | ||
| | | | ||
| Line 650: | Line 651: | ||
| 91 | | 91 | ||
| 351.125 | | 351.125 | ||
| | |Neutral 3rd | ||
| | | | ||
| | | | ||
| Line 657: | Line 658: | ||
| 92 | | 92 | ||
| 354.984 | | 354.984 | ||
| | |Tendoneutral 3rd | ||
| | |[[27/22]] | ||
| | | | ||
| | | | ||
| Line 664: | Line 665: | ||
| 93 | | 93 | ||
| 358.842 | | 358.842 | ||
| | |Supraneutral 3rd | ||
| | |[[16/13]] | ||
| | | | ||
| | | | ||
| Line 671: | Line 672: | ||
| 94 | | 94 | ||
| 362.701 | | 362.701 | ||
| | |Grave major 3rd | ||
| | | | ||
| | | | ||
| Line 713: | Line 714: | ||
| 100 | | 100 | ||
| 385.852 | | 385.852 | ||
| | |Classical major 3rd | ||
| | |[[5/4]] | ||
| | | | ||
| | | | ||
| Line 734: | Line 735: | ||
| 103 | | 103 | ||
| 397.428 | | 397.428 | ||
| | |Mean major 3rd | ||
| | | | ||
| | | | ||
| Line 748: | Line 749: | ||
| 105 | | 105 | ||
| 405.145 | | 405.145 | ||
| | |Novamajor 3rd | ||
| | | | ||
| | | | ||
| Line 755: | Line 756: | ||
| 106 | | 106 | ||
| 409.003 | | 409.003 | ||
| | |Pythagorean major 3rd | ||
| | | | ||
| | | | ||
| Line 762: | Line 763: | ||
| 107 | | 107 | ||
| 412.862 | | 412.862 | ||
| | |Quasineo major 3rd | ||
| | | | ||
| | | | ||
| Line 769: | Line 770: | ||
| 108 | | 108 | ||
| 416.720 | | 416.720 | ||
| | |Neogothic major 3rd | ||
| | |[[14/11]] | ||
| | | | ||
| | | | ||
| Line 776: | Line 777: | ||
| 109 | | 109 | ||
| 420.579 | | 420.579 | ||
| | |Paragothic major 3rd | ||
| | | | ||
| | | | ||
| Line 783: | Line 784: | ||
| 110 | | 110 | ||
| 424.437 | | 424.437 | ||
|Shrubmajor 3rd | |||
| | | | ||
| | |[[23/18]] | ||
| | | | ||
|- | |- | ||
| Line 797: | Line 798: | ||
| 112 | | 112 | ||
| 432.154 | | 432.154 | ||
| | |Quasisuper major 3rd | ||
| | | | ||
| | | | ||
| Line 804: | Line 805: | ||
| 113 | | 113 | ||
| 436.013 | | 436.013 | ||
| | |Supermajor 3rd | ||
| | |[[9/7]] | ||
| | | | ||
| | | | ||
| Line 916: | Line 917: | ||
| 129 | | 129 | ||
| 497.749 | | 497.749 | ||
| | |Perfect fourth | ||
| | |[[4/3]] | ||
| | | | ||
| | | | ||
| Line 1,245: | Line 1,246: | ||
| 176 | | 176 | ||
| 679.100 | | 679.100 | ||
| | |Grave fifth | ||
| | | | ||
| | | | ||
| Line 1,287: | Line 1,288: | ||
| 182 | | 182 | ||
| 702.251 | | 702.251 | ||
| | |Perfect fifth | ||
| | |[[3/2]] | ||
| | | | ||
| | | | ||
| Line 2,190: | Line 2,191: | ||
| 311 | | 311 | ||
| 1200.000 | | 1200.000 | ||
| | |Octave | ||
| | |[[2/1]] | ||
| | | | ||
| | | | ||
|} | |} | ||