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

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Overthink (talk | contribs)
autopatrolled
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expand earlier section; delete some names
Overthink (talk | contribs)
autopatrolled
2,790 edits
finish replacing names with diatonic interval categories; + some more ratios
Line 1: Line 1:
{{Editable user page}}
{{Editable user page}}
Note: Second, sixth, and seventh names can be derived from the third names.
This table assumes 41-limit patent val of 311edo.
{| class="wikitable mw-collapsible right-1 right-2"
{| class="wikitable mw-collapsible right-1 right-2"
|+ Intervals of 311edo
|+ Intervals of 311edo
Line 23: Line 23:
| 3.859
| 3.859
|  
|  
|  
| [[385/384]]
|  
|  
|  
|  
Line 30: Line 30:
| 7.717
| 7.717
|  
|  
|  
| [[225/224]]
|  
|  
|  
|  
Line 150: Line 150:
|
|
|
|
|
|[[24/23]]
|
|
|-
|-
Line 157: Line 157:
|
|
|
|
|
|[[23/22]]
|
|
|-
|-
Line 177: Line 177:
| 88.746
| 88.746
| m2
| m2
|
|[[256/243]]
|
|[[20/19]]
|
|
|-
|-
Line 185: Line 185:
|
|
|
|
|
|[[19/18]]
|
|
|-
|-
Line 199: Line 199:
|
|
|
|
|
|[[18/17]]
|
|
|-
|-
Line 206: Line 206:
|
|
|
|
|
|[[17/16]]
|
|
|-
|-
Line 225: Line 225:
| 30
| 30
| 115.756
| 115.756
|
|A1
| ''[[2187/2048]]''
| ''[[2187/2048]]''
|
|
Line 337: Line 337:
| 46
| 46
| 177.492
| 177.492
|
|d3
|
|
|
|
Line 344: Line 344:
| 47
| 47
| 181.350
| 181.350
|Classical major 2nd
|
|[[10/9]]
|[[10/9]]
|
|
Line 365: Line 365:
| 50
| 50
| 192.926
| 192.926
|Mean major 2nd
|
|
|
|[[19/17]]
|[[19/17]]
Line 386: Line 386:
| 53
| 53
| 204.502
| 204.502
|Pythagorean major 2nd
|M2
|[[9/8]]
|[[9/8]]
|
|
Line 435: Line 435:
| 60
| 60
| 231.511
| 231.511
|Supermajor 2nd
|
|[[8/7]]
|[[8/7]]
|
|
Line 442: Line 442:
| 61
| 61
| 235.370
| 235.370
|
|sd3
|
|
|
|
Line 473: Line 473:
|
|
|
|
|
|[[37/32]]
|-
|-
| 66
| 66
Line 491: Line 491:
| 68
| 68
| 262.379
| 262.379
|
|sA2
|
|
|
|
Line 498: Line 498:
| 69
| 69
| 266.238
| 266.238
|Subminor 3rd
|
|[[7/6]]
|[[7/6]]
|
|
Line 521: Line 521:
|
|
|
|
|
|[[27/23]]
|
|
|-
|-
| 73
| 73
| 281.672
| 281.672
|Diatismic minor 3rd
|
|
|
|
|[[20/17]]
|
|
|-
|-
| 74
| 74
| 285.531
| 285.531
|Pentacircle minor 3rd
|
|[[33/28]]
|[[33/28]]
|
|
Line 540: Line 540:
| 75
| 75
| 289.389
| 289.389
|Major minthmic minor 3rd
|
|[[13/11]]
|[[13/11]]
|
|
Line 547: Line 547:
| 76
| 76
| 293.248
| 293.248
|Pythagorean minor 3rd
|m3
|[[32/27]]
|[[32/27]]
|
|
Line 554: Line 554:
| 77
| 77
| 297.106
| 297.106
|Boethius minor 3rd
|
|
|
|
|
Line 561: Line 561:
| 78
| 78
| 300.965
| 300.965
|Quasi-tempered minor 3rd?
|
|[[25/21]]
|[[25/21]]
|
|
Line 589: Line 589:
| 82
| 82
| 316.399
| 316.399
|Classical minor 3rd
|
|[[6/5]]
|[[6/5]]
|
|
Line 596: Line 596:
| 83
| 83
| 320.257
| 320.257
|Keenanismic minor 3rd
|A2
|[[77/64]]
|[[77/64]]
|
|
Line 603: Line 603:
| 84
| 84
| 324.116
| 324.116
|Marvelous minor 3rd
|
|[[135/112]]
|[[135/112]]
|
|
Line 610: Line 610:
| 85
| 85
| 327.974
| 327.974
|Undetricesimal supraminor 3rd
|
|
|
|
|29/24
|
|[[29/24]]
|-
|-
| 86
| 86
Line 631: Line 631:
| 88
| 88
| 339.550
| 339.550
|Amity supraminor 3rd
|
|
|
|
|
Line 638: Line 638:
| 89
| 89
| 343.408
| 343.408
|Tridecimal subneutral 3rd
|
|[[39/32]]
|[[39/32]]
|
|
Line 645: Line 645:
| 90
| 90
| 347.267
| 347.267
|Undecimal artoneutral 3rd
|
|[[11/9]]
|[[11/9]]
|
|
Line 652: Line 652:
| 91
| 91
| 351.125
| 351.125
|Neutral 3rd
|n3
|
|[[49/40]], [[60/49]]
|
|
|
|
Line 659: Line 659:
| 92
| 92
| 354.984
| 354.984
|Undecimal tendoneutral 3rd
|
|[[27/22]]
|[[27/22]]
|
|
Line 666: Line 666:
| 93
| 93
| 358.842
| 358.842
|Tridecimal supraneutral 3rd
|
|[[16/13]]
|[[16/13]]
|
|
Line 673: Line 673:
| 94
| 94
| 362.701
| 362.701
|Amity submajor 3rd
|
|
|
|
|
Line 682: Line 682:
|
|
|
|
|
|[[21/17]]
|
|
|-
|-
Line 688: Line 688:
| 370.418
| 370.418
|
|
|
|[[26/21]]
|
|
|
|
Line 694: Line 694:
| 97
| 97
| 374.277
| 374.277
|Undetricesimal submajor 3rd
|
|
|
|
|36/29
|
|[[36/29]]
|-
|-
| 98
| 98
| 378.135
| 378.135
|Marvelous major 3rd
|
|
|
|
|
Line 708: Line 708:
| 99
| 99
| 381.994
| 381.994
|Keenanismic major 3rd
|d4
|
|
|
|
Line 715: Line 715:
| 100
| 100
| 385.852
| 385.852
|Classical major 3rd
|
|[[5/4]]
|[[5/4]]
|
|
Line 750: Line 750:
| 105
| 105
| 405.145
| 405.145
|Boethius major 3rd
|
|
|
|
|
Line 757: Line 757:
| 106
| 106
| 409.003
| 409.003
|Pythagorean major 3rd
|M3
|
|[[81/64]]
|
|
|
|
Line 764: Line 764:
| 107
| 107
| 412.862
| 412.862
|Major minthmic major 3rd
|
|
|[[33/26]]
|
|
|
|
Line 771: Line 771:
| 108
| 108
| 416.720
| 416.720
|Pentacircle major 3rd
|
|[[14/11]]
|[[14/11]]
|
|
Line 778: Line 778:
| 109
| 109
| 420.579
| 420.579
|Diatismic major 3rd
|
|
|
|
|[[51/40]]
|
|
|-
|-
| 110
| 110
| 424.437
| 424.437
|Shrubmajor 3rd?
|
|
|
|[[23/18]]
|[[23/18]]
Line 793: Line 793:
| 428.296
| 428.296
|
|
|[[32/25]], [[50/39]]
|
|
|
|[[41/32]]
|
|-
|-
| 112
| 112
| 432.154
| 432.154
|Swetismic supermajor 3rd
|
|
|
|
|
|
|-
|
| 113
|-
| 436.013
| 113
|Septimal major 3rd
| 436.013
|
|[[9/7]]
|[[9/7]]
|
|
Line 813: Line 813:
| 114
| 114
| 439.871
| 439.871
|
|sD4
|
|
|
|
Line 821: Line 821:
| 443.730
| 443.730
|
|
|
|[[128/99]]
|
|
|
|
Line 842: Line 842:
| 455.305
| 455.305
|
|
|
|[[13/10]]
|
|
|
|
Line 862: Line 862:
| 121
| 121
| 466.881
| 466.881
|
|sA3
|
|
|
|
Line 870: Line 870:
| 470.740
| 470.740
|
|
|
|[[21/16]]
|
|
|
|
Line 918: Line 918:
| 129
| 129
| 497.749
| 497.749
|Perfect fourth
|P4
|[[4/3]]
|[[4/3]]
|
|
Line 961: Line 961:
| 520.900
| 520.900
|
|
|
|[[27/20]]
|
|
|
|
Line 967: Line 967:
| 136
| 136
| 524.759
| 524.759
|
|A3
|
|
|
|
Line 1,017: Line 1,017:
| 551.768
| 551.768
|
|
|
|[[11/8]]
|
|
|
|
Line 1,023: Line 1,023:
| 144
| 144
| 555.627
| 555.627
|
|sA4
|
|
|
|
Line 1,073: Line 1,073:
| 582.637
| 582.637
|
|
|
|[[7/5]]
|
|
|
|
Line 1,079: Line 1,079:
| 152
| 152
| 586.495
| 586.495
|
|d5
|
|[[1024/729]]
|
|
|
|
Line 1,087: Line 1,087:
| 590.354
| 590.354
|
|
|
|[[45/32]]
|
|
|
|
Line 1,122: Line 1,122:
| 609.646
| 609.646
|
|
|
|[[64/45]]
|
|
|
|
Line 1,128: Line 1,128:
| 159
| 159
| 613.505
| 613.505
|
|A4
|
|[[729/512]]
|
|
|
|
Line 1,136: Line 1,136:
| 617.363
| 617.363
|
|
|
|[[10/7]]
|
|
|
|
Line 1,184: Line 1,184:
| 167
| 167
| 644.373
| 644.373
|
|sd5
|
|
|
|
Line 1,192: Line 1,192:
| 648.232
| 648.232
|
|
|
|[[16/11]]
|
|
|
|
Line 1,240: Line 1,240:
| 175
| 175
| 675.241
| 675.241
|
|d6
|
|
|
|
Line 1,247: Line 1,247:
| 176
| 176
| 679.100
| 679.100
|Grave fifth
|
|
|[[40/27]]
|
|
|
|
Line 1,289: Line 1,289:
| 182
| 182
| 702.251
| 702.251
|Perfect fifth
|P5
|[[3/2]]
|[[3/2]]
|
|
Line 1,339: Line 1,339:
| 729.260
| 729.260
|
|
|
|[[32/21]]
|
|
|
|
Line 1,345: Line 1,345:
| 190
| 190
| 733.119
| 733.119
|
|sd6
|
|
|
|
Line 1,367: Line 1,367:
| 744.695
| 744.695
|
|
|
|[[20/13]]
|
|
|
|
Line 1,388: Line 1,388:
| 756.270
| 756.270
|
|
|
|[[99/64]]
|
|
|
|
Line 1,394: Line 1,394:
| 197
| 197
| 760.129
| 760.129
|
|sA5
|
|
|
|
Line 1,402: Line 1,402:
| 763.987
| 763.987
|
|
|
|[[14/9]]
|
|
|
|
Line 1,416: Line 1,416:
| 771.704
| 771.704
|
|
|
|[[25/16]], [[39/25]]
|
|
|
|
Line 1,450: Line 1,450:
| 205
| 205
| 790.997
| 790.997
|
|m6
|
|[[128/81]]
|
|
|
|
Line 1,493: Line 1,493:
| 814.148
| 814.148
|
|
|
|[[8/5]]
|
|
|
|
Line 1,499: Line 1,499:
| 212
| 212
| 818.006
| 818.006
|
|A5
|
|
|
|
Line 1,542: Line 1,542:
| 841.158
| 841.158
|
|
|
|[[13/8]]
|
|
|
|
Line 1,555: Line 1,555:
| 220
| 220
| 848.875
| 848.875
|
|n6
|
|
|
|
Line 1,611: Line 1,611:
| 228
| 228
| 879.743
| 879.743
|
|d7
|
|
|
|
Line 1,619: Line 1,619:
| 883.601
| 883.601
|
|
|
|[[5/3]]
|
|
|
|
Line 1,660: Line 1,660:
| 235
| 235
| 906.752
| 906.752
|
|M6
|
|[[27/16]]
|
|
|
|
Line 1,710: Line 1,710:
| 933.762
| 933.762
|
|
|
|[[12/7]]
|
|
|
|
Line 1,716: Line 1,716:
| 243
| 243
| 937.621
| 937.621
|
|sd7
|
|
|
|
Line 1,740: Line 1,740:
|
|
|
|
|
|[[64/37]]
|-
|-
| 247
| 247
| 953.055
| 953.055
|
|
|
|[[26/15]]
|
|
|
|
Line 1,765: Line 1,765:
| 250
| 250
| 964.630
| 964.630
|
|sA6
|
|
|
|
Line 1,773: Line 1,773:
| 968.489
| 968.489
|
|
|
|[[7/4]]
|
|
|
|
Line 1,821: Line 1,821:
| 258
| 258
| 995.498
| 995.498
|
|m7
|
|[[16/9]]
|
|
|
|
Line 1,864: Line 1,864:
| 1018.650
| 1018.650
|
|
|
|[[9/5]]
|
|
|
|
Line 1,870: Line 1,870:
| 265
| 265
| 1022.508
| 1022.508
|
|A6
|
|
|
|
Line 1,920: Line 1,920:
| 1049.518
| 1049.518
|
|
|
|[[11/6]]
|
|
|
|
Line 1,926: Line 1,926:
| 273
| 273
| 1053.376
| 1053.376
|
|n7
|
|[[90/49]]
|
|
|
|
Line 1,976: Line 1,976:
| 1080.386
| 1080.386
|
|
|
|[[28/15]]
|
|
|
|
Line 1,982: Line 1,982:
| 281
| 281
| 1084.244
| 1084.244
|
|d8
|
|
|
|
Line 1,990: Line 1,990:
| 1088.103
| 1088.103
|
|
|
|[[15/8]]
|
|
|
|
Line 2,031: Line 2,031:
| 288
| 288
| 1111.254
| 1111.254
|
|M7
|
|[[243/128]]
|
|[[19/10]]
|
|
|-
|-
Line 2,087: Line 2,087:
| 296
| 296
| 1142.122
| 1142.122
|
|sd8
|
|
|
|
Line 2,136: Line 2,136:
| 303
| 303
| 1169.132
| 1169.132
|
|sA7
|
|
|
|
Line 2,144: Line 2,144:
| 1172.990
| 1172.990
|
|
|
|[[63/32]]
|
|
|
|
Retrieved from "https://en.xen.wiki/w/User:Overthink/Table_of_311edo_intervals"