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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.  


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Line 442: Line 441:
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Line 458: Line 457:
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Line 738: Line 737:
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Line 786: Line 785:
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Line 810: Line 809:
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Line 826: Line 825:
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| (33/29)
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Line 936: Line 935:
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| (''29/25'')
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Line 954: Line 953:
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Line 962: Line 961:
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Line 1,002: Line 1,001:
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Line 1,065: Line 1,064:
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Line 1,082: Line 1,081:
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Line 1,098: Line 1,097:
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Line 1,122: Line 1,121:
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Line 1,130: Line 1,129:
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Line 1,186: Line 1,185:
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Line 1,233: Line 1,232:
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Line 1,258: Line 1,257:
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Line 1,322: Line 1,321:
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Line 1,370: Line 1,369:
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Line 1,378: Line 1,377:
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Line 1,432: Line 1,431:
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Line 1,481: Line 1,480:
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Line 1,498: Line 1,497:
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Line 1,528: Line 1,527:
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Line 1,538: Line 1,537:
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Line 1,642: Line 1,641:
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Line 1,754: Line 1,753:
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Line 1,762: Line 1,761:
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Line 1,848: Line 1,847:
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Line 1,882: Line 1,881:
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Line 1,898: Line 1,897:
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Line 1,962: Line 1,961:
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| 41/30, 56/41
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Line 1,978: Line 1,977:
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Line 1,989: Line 1,988:
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| 547.{{overline|7}}
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Line 2,018: Line 2,017:
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Line 2,056: Line 2,055:
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| (43/31)
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Line 2,098: Line 2,097:
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Line 2,138: Line 2,137:
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Line 2,178: Line 2,177:
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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 2,296: Line 2,295:
|  
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| 49/34
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| (62/43)
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Line 2,338: Line 2,337:
| "
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| 74/51
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Line 2,360: Line 2,359:
|  
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| 51/35
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Line 2,378: Line 2,377:
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| 54/37
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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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| "
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| 37/25
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| 306
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Line 2,474: Line 2,473:
| ?
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| "
| "
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| (43/29)
|-
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| 308
| 308
Line 2,504: Line 2,503:
|  
|  
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| 76/51
| "
| "
| "
| "
Line 2,594: Line 2,593:
| "
| "
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| "
| "
| (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}}
|  
|  
|  
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| ?
| ?
| (44/29)
| (44/29)
| "
| 41/27
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| 326
| 326
Line 2,690: Line 2,689:
| "
| "
| "
| "
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| 43/28, 66/43
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| 335
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Line 2,714: Line 2,713:
| ?
| ?
| "
| "
| "
| 37/24
|-
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| 338
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Line 2,818: Line 2,817:
| "
| "
| "
| "
| "
| (58/37)
|-
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| 351
| 351
Line 2,824: Line 2,823:
|  
|  
|  
|  
| ?
| 80/51
| "
| "
| "
| "
Line 2,858: Line 2,857:
| ?
| ?
| "
| "
| "
| 41/26
|-
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| 356
| 356
Line 2,873: Line 2,872:
|  
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| ?
| ?
| "
| (49/31)
| "
| 68/37
|-
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| 358
| 358
Line 2,920: Line 2,919:
|  
|  
|  
|  
| ?
| 51/32
| "
| "
| "
| "
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 3,121: Line 3,120:
| 242/147
| 242/147
| "
| "
| "
| (51/31)
| "
| "
|-
|-
Line 3,154: Line 3,153:
| "
| "
| "
| "
| "
| 43/26
|-
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| 393
| 393
Line 3,226: Line 3,225:
| ?
| ?
| "
| "
| "
| 82/49
|-
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| 402
| 402
Line 3,234: Line 3,233:
| "
| "
| "
| "
| "
| (62/37), 72/43
|-
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| 403
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Line 3,258: Line 3,257:
| ?
| ?
| "
| "
| "
| 37/22
|-
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| 406
| 406
Line 3,274: Line 3,273:
| ?
| ?
| "
| "
| "
| 86/51
|-
|-
| 408
| 408
Line 3,289: Line 3,288:
|  
|  
| ?
| ?
| "
| (49/29)
| "
| "
|-
|-
Line 3,354: Line 3,353:
| ?
| ?
| "
| "
| "
| 41/24, 70/41
|-
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| 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 3,416: Line 3,415:
|  
|  
|  
|  
| ?
| 88/51
| (''50/29'')
| (''50/29'')
| "
| "
Line 3,522: Line 3,521:
| 100/57
| 100/57
| "
| "
| "
| 86/49
|-
|-
| 439
| 439
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
|-
|-
| 452
| 452
Line 3,650: Line 3,649:
| "
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| "
| "
| "
| 43/24
|-
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| 455
| 455
Line 3,752: Line 3,751:
|  
|  
|  
|  
| ?
| 51/28
| "
| "
| "
| "
Line 3,810: Line 3,809:
| "
| "
| "
| "
| "
| 68/37
|-
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| 475
| 475
Line 3,850: Line 3,849:
| ?
| ?
| "
| "
| "
| 37/20
|-
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| 480
| 480
Line 3,866: Line 3,865:
| ?
| ?
| "
| "
| "
| 76/41
|-
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| 482
| 482
Line 3,890: Line 3,889:
| "
| "
| "
| "
| "
| 80/43
|-
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| 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 3,944: Line 3,943:
|  
|  
|  
|  
| ?
| 92/49
| (62/33)
| (62/33)
| "
| "
Line 3,994: Line 3,993:
| ?
| ?
| "
| "
| "
| 70/37
|-
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| 498
| 498
Line 4,010: Line 4,009:
| ?
| ?
| "
| "
| "
| 74/39
|-
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| 500
| 500
Line 4,026: Line 4,025:
| ?
| ?
| "
| "
| "
| 78/41
|-
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| 502
| 502
Line 4,042: Line 4,041:
| ?
| ?
| "
| "
| "
| 82/43
|-
|-
| 504
| 504
Line 4,088: Line 4,087:
|  
|  
|  
|  
| ?
| 98/51
| "
| "
| "
| "
Line 4,170: Line 4,169:
| ?
| ?
| "
| "
| "
| 37/19
|-
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| 520
| 520
Line 4,186: Line 4,185:
| ?
| ?
| "
| "
| "
| 41/21
|-
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| 522
| 522
Line 4,194: Line 4,193:
| "
| "
| "
| "
| "
| 43/22
|-
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| 523
| 523
Line 4,216: Line 4,215:
|  
|  
|  
|  
| ?
| 51/26
| "
| "
| "
| "
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"