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User:Overthink/Table of 311edo intervals: Difference between revisions

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Eufalesio (talk | contribs)
autopatrolled
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more intervals up to 4/3, except for 103\311, 117\311, 128\311 of which I couldn't find good mapping
Overthink (talk | contribs)
autopatrolled
2,963 edits
add more ratios
 
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{{Editable user page}}
{{Editable user page}}


This table assumes the [[41-limit]] [[patent val]] {{Val|311 493 722 873 1076 1151 1271 1321 1407 1511 1541 1620 1666}} of [[311edo]]. Intervals that differ by their assigned steps by more than 50%, but less than 100%, are marked with ''italics''. Intervals that differ by more than 100% are not shown.  
This table assumes the [[41-limit]] [[patent val]] {{Val|311 493 722 873 1076 1151 1271 1321 1407 1511 1541 1620 1666}} of [[311edo]]. Intervals that differ by their assigned steps by more than 50%, but less than 100%, are marked with ''italics''. Intervals that differ by more than 100% are not shown. Since 311edo supports true hemififths, a hemipyth marking is provided.  


{| class="wikitable mw-collapsible right-1 right-2"
{| class="wikitable mw-collapsible right-1 right-2"
Line 25: Line 25:
| 3.859
| 3.859
|  
|  
| [[325/324]], [[352/351]], [[364/363]],<br>[[385/384]], [[441/440]], [[540/539]],<br>[[676/675]], [[729/728]], [[847/845]]
| [[325/324]], [[385/384]]
| ''[[289/288]]'', [[361/360]], [[400/399]],
| [[513/512]], [[715/714]]
[[484/483]], [[513/512]], [[529/528]],
[[561/560]], [[576/575]], [[715/714]]
|
|
|-
|-
Line 34: Line 32:
| 7.717
| 7.717
|  
|  
| [[196/195]], [[225/224]], [[243/242]],<br>''[[351/350]]'', ''[[896/891]]''
| [[196/195]], [[225/224]]
| [[256/255]], ''[[324/323]]''
| [[256/255]]
|
|
|-
|-
Line 41: Line 39:
| 11.576
| 11.576
|  
|  
| [[144/143]], [[169/168]], [[176/175]]
| [[144/143]], [[169/168]]
|
|
|
|
Line 48: Line 46:
| 15.434
| 15.434
|  
|  
| ''[[100/99]]'', [[105/104]], [[121/120]]
| ''[[100/99]]'', [[121/120]]
|
|
|
|
Line 104: Line 102:
| 46.302
| 46.302
|
|
| [[39/38]]
| [[39/38]], [[77/75]]
|
|
| [[37/36]], [[38/37]]
| [[37/36]], [[38/37]]
Line 118: Line 116:
| 54.019
| 54.019
|  
|  
| [[33/32]]
| [[33/32]], [[65/63]]
|  
|  
| [[32/31]]
| [[32/31]]
Line 133: Line 131:
|  
|  
| [[28/27]]
| [[28/27]]
|
|[[57/55]]
| [[29/28]]
| [[29/28]]
|-
|-
Line 139: Line 137:
| 65.595
| 65.595
|
|
| [[27/26]]
| [[27/26]], [[80/77]]
|
|
|
|
Line 176: Line 174:
|[[21/20]]
|[[21/20]]
|
|
|
|[[41/39]]
|-
|-
| 23
| 23
Line 188: Line 186:
| 92.605
| 92.605
|
|
|
|[[135/128]]
|[[19/18]]
|[[19/18]]
|[[58/55]]
|[[39/37]], [[58/55]]
|-
|-
| 25
| 25
Line 202: Line 200:
| 100.322
| 100.322
|
|
|
|[[35/33]]
| [[18/17]]
| [[18/17]]
|
|
Line 265: Line 263:
| 135.048
| 135.048
|
|
|  
| [[27/25]]
|  
|  
|[[40/37]]
|[[40/37]]
Line 280: Line 278:
|
|
|
|
|
|[[25/23]]
|[[38/35]]
|[[38/35]]
|-
|-
Line 286: Line 284:
| 146.624
| 146.624
| n2
| n2
|[[160/147]]
|[[49/45]], [[160/147]]
|
|
|
|[[37/34]]
|-
|-
| 39
| 39
Line 300: Line 298:
| 154.341
| 154.341
|
|
|
|[[35/32]]
|
|
|[[82/75]]
|[[82/75]]
Line 308: Line 306:
|
|
|
|
| colspan="2" |[[23/21]]
| [[23/21]]
| [[34/31]]
|-
|-
| 42
| 42
Line 343: Line 342:
|
|
|
|
|[[41/37]]
|[[31/28]], [[41/37]]
|-
|-
| 47
| 47
Line 355: Line 354:
| 185.209
| 185.209
|
|
|[[49/44]]
|
|
|
| [[69/62]]
|[[69/62]]
|-
|-
| 49
| 49
Line 364: Line 363:
|
|
|
|
|[[29/26]]
| [[29/26]]
|-
|-
| 50
| 50
Line 370: Line 369:
|
|
|
|
|[[19/17]]
| [[19/17]]
|
|
|-
|-
Line 376: Line 375:
| 196.785
| 196.785
|
|
|[[28/25]]
|
|
|[[28/25]]
|
|
|-
|-
Line 383: Line 382:
| 200.643
| 200.643
|
|
|[[55/49]]
| [[55/49]]
| colspan="2" |[[64/57]]
| [[64/57]]
|
|-
|-
| 53
| 53
| 204.502
| 204.502
|M2
| M2
|[[9/8]]
| [[9/8]]
|
|
|
|
Line 396: Line 396:
| 208.360
| 208.360
|
|
|[[44/39]]
| [[44/39]]
|
|  
|[[35/31]]
| [[35/31]]
|-
|-
| 55
| 55
Line 404: Line 404:
|
|
|
|
| colspan="2" |[[26/23]]
|[[26/23]]
|
|-
|-
| 56
| 56
Line 410: Line 411:
|
|
|
|
| colspan="2" |[[17/15]]
|[[17/15]]
|
|-
|-
| 57
| 57
Line 450: Line 452:
| 239.228
| 239.228
|
|
|
|[[147/128]]
|
|
|[[31/27]]
|[[31/27]]
Line 458: Line 460:
|
|
|
|
|[[23/20]]
|[[23/20]], [[38/33]]
|
|
|-
|-
Line 471: Line 473:
| 250.804
| 250.804
|
|
|
|[[52/45]]
|
|
|[[37/32]]
|[[37/32]]
Line 479: Line 481:
|
|
|
|
|[[22/19]]
|[[22/19]], [[80/69]]
|
|
|-
|-
Line 513: Line 515:
| 273.955
| 273.955
|
|
|
|[[75/64]]
|
|
|[[34/29]], [[41/35]]
|[[34/29]], [[41/35]]
Line 548: Line 550:
| 293.248
| 293.248
|m3
|m3
|[[32/27]]
|[[32/27]], [[77/65]]
|
|[[45/38]]
|
|
|-
|-
Line 564: Line 566:
|[[25/21]]
|[[25/21]]
|
|
|
|[[44/37]]
|-
|-
| 79
| 79
Line 571: Line 573:
|
|
|
|
|[[31/26]]
|[[31/26]], [[37/31]]
|-
|-
| 80
| 80
Line 606: Line 608:
|[[135/112]]
|[[135/112]]
|
|
|
|[[35/29]]
|-
|-
| 85
| 85
Line 618: Line 620:
| 331.833
| 331.833
|
|
|[[40/33]]
|[[40/33]], [[63/52]]
|
|[[23/19]]
|
|
|-
|-
Line 632: Line 634:
| 339.550
| 339.550
|
|
|
|[[243/200]]
|[[28/23]]
|[[28/23]]
|
|
Line 639: Line 641:
| 343.408
| 343.408
|
|
|[[39/32]]
|[[39/32]], [[128/105]]
|
|
|
|[[50/41]]
|-
|-
| 90
| 90
Line 674: Line 676:
| 362.701
| 362.701
|
|
|
|[[100/81]]
|
|[[69/56]]
|[[37/30]]
|[[37/30]]
|-
|-
Line 682: Line 684:
|
|
|
|
|[[21/17]]
|[[21/17]], [[68/55]]
|
|
|-
|-
Line 688: Line 690:
| 370.418
| 370.418
|
|
|[[26/21]]
|[[26/21]], [[99/80]]
|
|
|
|[[31/25]]
|-
|-
| 97
| 97
Line 697: Line 699:
|
|
|
|
|[[36/29]]
|[[36/29]], [[41/33]]
|-
|-
| 98
| 98
| 378.135
| 378.135
|
|
|[[56/45]]
|
|
|
|[[46/37]], [[51/41]]
|[[51/41]]
|-
|-
| 99
| 99
Line 724: Line 726:
|
|
|
|
|
|[[114/91]]
|
|
|-
|-
Line 731: Line 733:
|
|
|[[49/39]]
|[[49/39]]
|
|[[64/51]], [[69/55]]
|
|
|-
|-
Line 737: Line 739:
| 397.428
| 397.428
|
|
|
|[[44/35]]
|[[34/27]]
|[[34/27]]
|[[39/31]]
|[[39/31]]
Line 759: Line 761:
|M3
|M3
|[[81/64]]
|[[81/64]]
|
|[[19/15]]
|
|
|-
|-
Line 823: Line 825:
|[[128/99]]
|[[128/99]]
|
|
|
|[[31/24]]
|-
|-
| 116
| 116
| 447.588
| 447.588
|
|
|
|[[35/27]]
|[[22/17]], [[57/44]]
|[[22/17]], [[57/44]]
|
|
Line 835: Line 837:
| 451.447
| 451.447
|
|
|
|[[135/104]]
|
|
|
|
Line 848: Line 850:
| 119
| 119
| 459.164
| 459.164
|
|
|
|[[30/23]]
|[[30/23]]
|
|
|
|-
|-
Line 863: Line 865:
| 466.881
| 466.881
|sA3
|sA3
|[[55/42]]
|[[55/42]], [[72/55]]
|
|
|[[38/29]]
|[[38/29]]
Line 906: Line 908:
|
|
|[[65/49]]
|[[65/49]]
|[[69/52]]
|[[69/52]], [[85/64]]
|
|
|-
|-
Line 947: Line 949:
| 513.183
| 513.183
|
|
|[[35/26]]
|
|
|
|[[39/29]]
|
|-
|-
| 134
| 134
Line 956: Line 958:
|
|
|
|
|
|[[31/23]]
|-
|-
| 135
| 135
Line 963: Line 965:
|[[27/20]]
|[[27/20]]
|
|
|
|[[50/37]]
|-
|-
| 136
| 136
Line 969: Line 971:
|A3
|A3
|
|
|
|[[23/17]]
|
|
|-
|-
Line 976: Line 978:
|
|
|
|
|
|[[19/14]]
|
|
|-
|-
Line 983: Line 985:
|
|
|
|
|
|[[34/25]]
|
|
|-
|-
Line 989: Line 991:
| 536.334
| 536.334
|
|
|
|[[15/11]]
|
|
|
|
Line 998: Line 1,000:
|
|
|
|
|
|[[41/30]]
|-
|-
| 141
| 141
Line 1,004: Line 1,006:
|
|
|
|
|
|[[26/19]]
|
|
|-
|-
Line 1,010: Line 1,012:
| 547.910
| 547.910
|
|
|
|[[48/35]]
|
|
|
|
Line 1,038: Line 1,040:
| 563.344
| 563.344
|
|
|
|[[18/13]]
|
|
|
|
Line 1,045: Line 1,047:
| 567.203
| 567.203
|
|
|
|[[25/18]]
|
|
|
|
Line 1,059: Line 1,061:
| 574.920
| 574.920
|
|
|
|[[39/28]]
|
|
|
|
Line 1,088: Line 1,090:
|
|
|[[45/32]]
|[[45/32]]
|
|[[38/27]]
|
|
|-
|-
Line 1,094: Line 1,096:
| 594.212
| 594.212
|
|
|[[55/39]]
|
|
|
|[[31/22]]
|
|-
|-
| 155
| 155
Line 1,102: Line 1,104:
|
|
|
|
|
|[[24/17]]
|
|[[41/29]]
|-
|-
| 156
| 156
Line 1,109: Line 1,111:
|
|
|
|
|
|[[17/12]]
|
|[[58/41]]
|-
|-
| 157
| 157
| 605.788
| 605.788
|
|
|[[78/55]]
|
|
|
|[[44/31]]
|
|-
|-
| 158
| 158
Line 1,123: Line 1,125:
|
|
|[[64/45]]
|[[64/45]]
|
|[[27/19]]
|
|
|-
|-
Line 1,164: Line 1,166:
| 632.797
| 632.797
|
|
|
|[[36/25]]
|
|
|
|
Line 1,171: Line 1,173:
| 636.656
| 636.656
|
|
|
|[[13/9]]
|
|
|
|
Line 1,199: Line 1,201:
| 652.090
| 652.090
|
|
|
|[[35/24]]
|
|
|
|
Line 1,220: Line 1,222:
| 663.666
| 663.666
|
|
|
|[[22/15]]
|
|
|
|
Line 1,228: Line 1,230:
|
|
|
|
|
|[[25/17]]
|
|
|-
|-
Line 1,235: Line 1,237:
|
|
|
|
|
|[[28/19]]
|
|
|-
|-
Line 1,242: Line 1,244:
|d6
|d6
|
|
|
|[[34/23]]
|
|
|-
|-
Line 1,262: Line 1,264:
| 686.817
| 686.817
|
|
|
|[[52/35]]
|
|
|
|
Line 1,276: Line 1,278:
| 694.534
| 694.534
|
|
|
|[[112/75]]
|
|
|
|
Line 1,297: Line 1,299:
| 706.109
| 706.109
|
|
|
|[[176/117]], [[182/121]]
|
|
|
|
Line 1,305: Line 1,307:
|
|
|
|
|
|[[128/85]]
|
|
|-
|-
Line 1,318: Line 1,320:
| 717.685
| 717.685
|
|
|
|[[50/33]]
|
|
|
|
Line 1,333: Line 1,335:
|
|
|
|
|
|[[38/25]]
|
|
|-
|-
Line 1,346: Line 1,348:
| 733.119
| 733.119
|sd6
|sd6
|[[55/36]], [[84/55]]
|
|
|
|[[29/19]]
|
|-
|-
| 191
| 191
| 736.977
| 736.977
|
|
|
|[[49/32]]
|
|[[26/17]]
|
|
|-
|-
Line 1,361: Line 1,363:
|
|
|
|
|
|[[23/15]]
|
|
|-
|-
Line 1,381: Line 1,383:
| 752.412
| 752.412
|
|
|
|[[54/35]]
|
|[[17/11]]
|
|
|-
|-
Line 1,409: Line 1,411:
| 767.846
| 767.846
|
|
|
|[[120/77]]
|
|
|
|
Line 1,424: Line 1,426:
|
|
|
|
|
|[[36/23]]
|
|
|-
|-
Line 1,431: Line 1,433:
|
|
|
|
|
|[[80/51]]
|
|
|-
|-
Line 1,437: Line 1,439:
| 783.280
| 783.280
|
|
|
|[[11/7]]
|
|
|
|
Line 1,444: Line 1,446:
| 787.138
| 787.138
|
|
|
|[[52/33]]
|
|
|
|
Line 1,452: Line 1,454:
|m6
|m6
|[[128/81]]
|[[128/81]]
|
|[[30/19]]
|
|
|-
|-
Line 1,459: Line 1,461:
|
|
|
|
|
|[[19/12]]
|
|
|-
|-
Line 1,500: Line 1,502:
| 818.006
| 818.006
|A5
|A5
|
|[[77/48]], [[130/81]]
|
|
|
|
Line 1,507: Line 1,509:
| 821.865
| 821.865
|
|
|
|[[45/28]]
|
|
|
|
Line 1,521: Line 1,523:
| 829.582
| 829.582
|
|
|
|[[21/13]], [[160/99]]
|
|
|
|
Line 1,529: Line 1,531:
|
|
|
|
|
|[[34/21]], [[55/34]]
|
|
|-
|-
Line 1,535: Line 1,537:
| 837.299
| 837.299
|
|
|
|[[81/50]]
|
|
|
|
Line 1,549: Line 1,551:
| 845.016
| 845.016
|
|
|
|[[44/27]]
|
|
|
|
Line 1,556: Line 1,558:
| 848.875
| 848.875
|n6
|n6
|
|[[49/30]], [[80/49]]
|
|
|
|
Line 1,563: Line 1,565:
| 852.733
| 852.733
|
|
|
|[[18/11]]
|
|
|
|
Line 1,570: Line 1,572:
| 856.592
| 856.592
|
|
|
|[[64/39]], [[105/64]]
|
|
|
|
Line 1,578: Line 1,580:
|
|
|
|
|
|[[23/12|23/14]]
|
|
|-
|-
Line 1,585: Line 1,587:
|
|
|
|
|
|[[28/17]]
|
|
|-
|-
Line 1,591: Line 1,593:
| 868.167
| 868.167
|
|
|
|[[33/20]], [[104/63]]
|
|[[38/23]]
|
|
|-
|-
Line 1,647: Line 1,649:
| 899.035
| 899.035
|
|
|
|[[42/25]]
|
|
|
|
Line 1,655: Line 1,657:
|
|
|
|
|
|[[32/19]]
|
|
|-
|-
Line 1,844: Line 1,846:
|
|
|
|
|
|[[34/19]]
|
|
|-
|-
Line 1,892: Line 1,894:
| 1034.084
| 1034.084
|
|
|
|[[20/11]]
|
|
|
|
Line 1,941: Line 1,943:
| 1061.093
| 1061.093
|
|
|
|[[24/13]]
|
|
|
|
Line 1,962: Line 1,964:
| 1072.669
| 1072.669
|
|
|
|[[13/7]]
|
|
|
|
Line 2,005: Line 2,007:
|
|
|
|
|
|[[32/17]]
|
|
|-
|-
Line 2,012: Line 2,014:
|
|
|
|
|
|[[17/9]]
|
|
|-
|-
Line 2,026: Line 2,028:
|
|
|
|
|
|[[36/19]]
|
|
|-
|-
Line 2,039: Line 2,041:
| 1115.113
| 1115.113
|
|
|
|[[40/21]]
|
|
|
|
Line 2,046: Line 2,048:
| 1118.971
| 1118.971
|
|
|
|[[21/11]]
|
|
|
|
Line 2,054: Line 2,056:
|
|
|
|
|
|[[44/23]]
|
|
|-
|-
Line 2,061: Line 2,063:
|
|
|
|
|
|[[23/12]]
|
|
|-
|-
Line 2,067: Line 2,069:
| 1130.547
| 1130.547
|
|
|
|[[25/13]], [[48/25]]
|
|
|
|
Line 2,074: Line 2,076:
| 1134.405
| 1134.405
|
|
|
|[[27/13]], [[77/40]]
|
|
|
|
Line 2,081: Line 2,083:
| 1138.264
| 1138.264
|
|
|[[27/14]]
|
|
|
|[[56/29]]
|
|-
|-
| 296
| 296
Line 2,090: Line 2,092:
|
|
|
|
|
|[[29/15]], [[60/31]]
|-
|-
| 297
| 297
| 1145.981
| 1145.981
|
|
|
|[[64/33]]
|
|
|[[31/16]]
|[[31/16]]
Line 2,102: Line 2,104:
| 1149.839
| 1149.839
|
|
|
|[[35/18]]
|
|[[33/17]], [[68/35]]
|
|
|-
|-
Line 2,110: Line 2,112:
|
|
|
|
|
|[[76/39]]
|
|[[37/19]], [[72/37]]
|-
|-
| 300
| 300
| 1157.556
| 1157.556
|
|
|[[39/20]]
|
|
|
|[[41/21]], [[80/41]]
|
|-
|-
| 301
| 301
| 1161.415
| 1161.415
|
|
|
|[[88/45]]
|
|[[45/23]]
|
|
|-
|-
Line 2,130: Line 2,132:
| 1165.273
| 1165.273
|
|
|
|[[49/25]], [[96/49]]
|
|[[51/26]], [[100/51]]
|
|
|-
|-
Line 2,137: Line 2,139:
| 1169.132
| 1169.132
|sA7
|sA7
|
|[[55/28]], [[108/55]]
|
|[[112/57]]
|
|[[57/29]]
|-
|-
| 304
| 304
Line 2,151: Line 2,153:
| 1176.849
| 1176.849
|
|
|
|[[160/81]]
|
|
|
|
Line 2,158: Line 2,160:
| 1180.707
| 1180.707
|
|
|
|[[196/99]]
|
|
|
|
Line 2,165: Line 2,167:
| 1184.566
| 1184.566
|
|
|
|''[[99/50]],'' [[208/105]]
|
|
|
|
Line 2,172: Line 2,174:
| 1188.424
| 1188.424
|
|
|
|[[143/72]]
|
|
|
|
Line 2,179: Line 2,181:
| 1192.283
| 1192.283
|
|
|
|[[448/225]]
|
|[[255/128]]
|
|
|-
|-
Line 2,186: Line 2,188:
| 1196.141
| 1196.141
|
|
|
|[[768/385]]
|
|
|
|
Retrieved from "https://en.xen.wiki/w/User:Overthink/Table_of_311edo_intervals"