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User:FloraC/Table of 540edo intervals: Difference between revisions

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This '''table of 540edo intervals''' assumes the [[43-limit]] [[patent val]] of [[540edo]] {{val| 540 856 1254 1516 1868 1998 2207 2294 2443 2623 2675 2813 2893 2930 }}. [[Prime harmonic]]s are in '''bold'''; inconsistently mapped intervals are in ''italic''. As is analysed in the main article, the 2.3.5.7.11.13.19-subgroup of 540edo is the same as 270edo, but primes 17 and 23 are much improved. Furthermore, 540edo can be used in the full 43-limit, but as a no-29 no-31 43-limit system, it is almost consistent to the 45-odd-limit. For this reason, intervals of 29 and 31 are given in parentheses.  
This '''table of 540edo intervals''' assumes the [[43-limit]] [[patent val]] of [[540edo]] {{val| 540 856 1254 1516 1868 1998 2207 2294 2443 2623 2675 2813 2893 2930 }}. [[Prime harmonic]]s are in '''bold'''; inconsistently mapped intervals are in ''italic''. As is analysed in the main article, the 2.3.5.7.11.13.19-subgroup of 540edo is the same as 270edo, but primes 17 and 23 are much improved. Furthermore, 540edo can be used in the full 43-limit, but as a no-29 no-31 43-limit system, it is almost consistent to the 45-odd-limit. For this reason, intervals of 29 and 31 are given in parentheses.  


Line 24: Line 23:
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Line 143: Line 142:
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| 49/48
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Line 162: Line 161:
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| 43/42, 44/43
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Line 170: Line 169:
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| 41/40, 42/41
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| 44.{{overline|4}}
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Line 186: Line 185:
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| 37/36, 38/37
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| 22
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Line 314: Line 313:
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| 43/41
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| 38
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Line 330: Line 329:
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| 41/39
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| 40
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Line 346: Line 345:
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| 39/37
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Line 362: Line 361:
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| 37/35
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| 44
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Line 442: Line 441:
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| 46/43
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| 54
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Line 458: Line 457:
| ?
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| (''29/27'')
| (''29/27'')
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| 44/41
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| 56
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Line 466: Line 465:
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| "
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| 43/40
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| 57
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Line 490: Line 489:
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| 41/38
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| 60
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Line 506: Line 505:
| ?
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| 40/37
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| 62
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Line 546: Line 545:
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| 37/34
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| 67
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Line 602: Line 601:
| ?
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| 45/41
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| 74
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Line 626: Line 625:
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| 43/39
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| 77
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Line 658: Line 657:
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| 41/37
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| 81
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Line 706: Line 705:
| "
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| 48/43
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| 87
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Line 730: Line 729:
| ?
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| "
| "
| "
| 37/33
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|-
| 90
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Line 738: Line 737:
| "
| "
| "
| "
| "
| 46/41
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| 91
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Line 786: Line 785:
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| 43/38
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| 97
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Line 810: Line 809:
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| 42/37
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| 100
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Line 826: Line 825:
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| (33/29)
| (33/29)
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| 41/36
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| 102
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Line 954: Line 953:
| ?
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| (''36/31'')
| (''36/31'')
| "
| 43/37
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| 118
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Line 962: Line 961:
| 57/49
| 57/49
| "
| "
| "
| ''50/43''
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| 119
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Line 1,002: Line 1,001:
| ?
| ?
| "
| "
| "
| 41/35, 48/41
|-
|-
| 124
| 124
Line 1,098: Line 1,097:
| ?
| ?
| "
| "
| "
| 44/37
|-
|-
| 136
| 136
Line 1,122: Line 1,121:
| "
| "
| "
| "
| "
| (37/31), 43/36
|-
|-
| 139
| 139
Line 1,186: Line 1,185:
| 76/63
| 76/63
| "
| "
| "
| 41/34
|-
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| 147
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Line 1,202: Line 1,201:
| "
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| 52/43
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| 149
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Line 1,258: Line 1,257:
| ?
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| "
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| 50/41
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| 156
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Line 1,322: Line 1,321:
| ?
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| "
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| 37/30
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|-
| 164
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Line 1,370: Line 1,369:
| ?
| ?
| (''36/29'')
| (''36/29'')
| "
| 41/33
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| 170
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Line 1,378: Line 1,377:
| "
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| 46/37
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Line 1,482: Line 1,481:
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| 43/34
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Line 1,498: Line 1,497:
| ?
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| 52/41
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| 186
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Line 1,538: Line 1,537:
| "
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| (37/29)
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| 191
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Line 1,642: Line 1,641:
| ?
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| 48/37
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| 204
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Line 1,666: Line 1,665:
| 99/76
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| 43/33, 56/43
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| 207
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Line 1,738: Line 1,737:
| ?
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| (29/22)
| (29/22)
| "
| 54/41
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| 216
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Line 1,754: Line 1,753:
| ?
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| "
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| 37/28
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| 218
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Line 1,762: Line 1,761:
| "
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| (41/31)
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| 219
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Line 1,882: Line 1,881:
| ?
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| (58/43)
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| 234
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Line 1,898: Line 1,897:
| ?
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| 50/37
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Line 1,962: Line 1,961:
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| 41/30, 56/41
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| 244
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Line 1,978: Line 1,977:
| ?
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| 37/27
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| 246
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Line 2,058: Line 2,057:
| ?
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| (43/31)
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| 256
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Line 2,098: Line 2,097:
| "
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| 60/43
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| 261
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Line 2,138: Line 2,137:
| ?
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| 52/37
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| 266
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Line 2,178: Line 2,177:
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| (41/29, 58/41)
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| 271
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Line 2,218: Line 2,217:
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| 37/26
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Line 2,258: Line 2,257:
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| 43/30
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| 281
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Line 2,298: Line 2,297:
| ?
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| (62/43)
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| 286
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Line 2,378: Line 2,377:
| ?
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| 54/37
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| 296
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Line 2,394: Line 2,393:
| ?
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| 41/28, 60/41
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| 298
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Line 2,458: Line 2,457:
| ?
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| 37/25
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| 306
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Line 2,474: Line 2,473:
| ?
| ?
| "
| "
| "
| (43/29)
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| 308
| 308
Line 2,594: Line 2,593:
| "
| "
| "
| "
| "
| (62/41)
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| 323
| 323
Line 2,602: Line 2,601:
| ?
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| "
| "
| "
| 56/37
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| 324
| 324
Line 2,613: Line 2,612:
|-
|-
| 325
| 325
| 721.{{overline|1}}
| 722.{{overline|2}}
|  
|  
|  
|  
| ?
| ?
| (44/29)
| (44/29)
| "
| 41/27
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| 326
| 326
Line 2,690: Line 2,689:
| "
| "
| "
| "
| "
| 43/28, 66/43
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|-
| 335
| 335
Line 2,714: Line 2,713:
| ?
| ?
| "
| "
| "
| 37/24
|-
|-
| 338
| 338
Line 2,818: Line 2,817:
| "
| "
| "
| "
| "
| (58/37)
|-
|-
| 351
| 351
Line 2,858: Line 2,857:
| ?
| ?
| "
| "
| "
| 41/26
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|-
| 356
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Line 2,874: Line 2,873:
| ?
| ?
| "
| "
| "
| 68/37
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|-
| 358
| 358
Line 2,978: Line 2,977:
| "
| "
| "
| "
| "
| 37/23
|-
|-
| 371
| 371
Line 2,986: Line 2,985:
| ?
| ?
| (''29/18'')
| (''29/18'')
| "
| 66/41
|-
|-
| 372
| 372
Line 3,034: Line 3,033:
| ?
| ?
| "
| "
| "
| 60/37
|-
|-
| 378
| 378
Line 3,098: Line 3,097:
| ?
| ?
| "
| "
| "
| 41/25
|-
|-
| 386
| 386
Line 3,154: Line 3,153:
| "
| "
| "
| "
| "
| 43/26
|-
|-
| 393
| 393
Line 3,234: Line 3,233:
| "
| "
| "
| "
| "
| (62/37), 72/43
|-
|-
| 403
| 403
Line 3,258: Line 3,257:
| ?
| ?
| "
| "
| "
| 37/22
|-
|-
| 406
| 406
Line 3,354: Line 3,353:
| ?
| ?
| "
| "
| "
| 41/24, 70/41
|-
|-
| 418
| 418
Line 3,394: Line 3,393:
| "
| "
| "
| "
| "
| ''43/25''
|-
|-
| 423
| 423
Line 3,402: Line 3,401:
| ?
| ?
| (''31/18'')
| (''31/18'')
| "
| 74/43
|-
|-
| 424
| 424
Line 3,530: Line 3,529:
| ?
| ?
| (58/33)
| (58/33)
| "
| 72/41
|-
|-
| 440
| 440
Line 3,546: Line 3,545:
| ?
| ?
| "
| "
| "
| 37/21
|-
|-
| 442
| 442
Line 3,570: Line 3,569:
| "
| "
| "
| "
| "
| 76/43
|-
|-
| 445
| 445
Line 3,618: Line 3,617:
| 57/32
| 57/32
| "
| "
| "
| 41/23
|-
|-
| 451
| 451
Line 3,626: Line 3,625:
| ?
| ?
| "
| "
| "
| 66/37
|-
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| 452
| 452
Line 3,650: Line 3,649:
| "
| "
| "
| "
| "
| 43/24
|-
|-
| 455
| 455
Line 3,754: Line 3,753:
| ?
| ?
| "
| "
| "
| 82/45
|-
|-
| 468
| 468
Line 3,810: Line 3,809:
| "
| "
| "
| "
| "
| 68/37
|-
|-
| 475
| 475
Line 3,850: Line 3,849:
| ?
| ?
| "
| "
| "
| 37/20
|-
|-
| 480
| 480
Line 3,866: Line 3,865:
| ?
| ?
| "
| "
| "
| 76/41
|-
|-
| 482
| 482
Line 3,890: Line 3,889:
| "
| "
| "
| "
| "
| 80/43
|-
|-
| 485
| 485
Line 3,898: Line 3,897:
| ?
| ?
| (''54/29'')
| (''54/29'')
| "
| 41/22
|-
|-
| 486
| 486
Line 3,914: Line 3,913:
| ?
| ?
| "
| "
| "
| 43/23
|-
|-
| 488
| 488
Line 3,994: Line 3,993:
| ?
| ?
| "
| "
| "
| 70/37
|-
|-
| 498
| 498
Line 4,010: Line 4,009:
| ?
| ?
| "
| "
| "
| 74/39
|-
|-
| 500
| 500
Line 4,026: Line 4,025:
| ?
| ?
| "
| "
| "
| 78/41
|-
|-
| 502
| 502
Line 4,042: Line 4,041:
| ?
| ?
| "
| "
| "
| 82/43
|-
|-
| 504
| 504
Line 4,170: Line 4,169:
| ?
| ?
| "
| "
| "
| 37/19
|-
|-
| 520
| 520
Line 4,186: Line 4,185:
| ?
| ?
| "
| "
| "
| 41/21
|-
|-
| 522
| 522
Line 4,194: Line 4,193:
| "
| "
| "
| "
| "
| 43/22
|-
|-
| 523
| 523
Line 4,312: Line 4,311:
|  
|  
|  
|  
| ?
| 255/128
| "
| "
| "
| "
Line 4,328: Line 4,327:
|  
|  
|  
|  
| ?
| ''483/242''
| "
| "
| "
| "
Retrieved from "https://en.xen.wiki/w/User:FloraC/Table_of_540edo_intervals"