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

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Created page with "{{Breadcrumb}} 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..."
 
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{{Breadcrumb}}
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 1,593: Line 1,592:
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Line 1,754: Line 1,753:
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Line 1,882: Line 1,881:
| ?
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| (58/43)
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Line 1,898: Line 1,897:
| ?
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| 50/37
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Line 1,913: Line 1,912:
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| (42/31)
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Line 1,928: Line 1,927:
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| ''34/25''
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Line 1,962: Line 1,961:
| ?
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| 41/30, 56/41
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| 244
| 244
Line 1,978: Line 1,977:
| ?
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| 37/27
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Line 1,989: Line 1,988:
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| 547.{{overline|7}}
| 548.{{overline|8}}
|  
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| 70/51
| "
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| "
| "
Line 2,009: Line 2,008:
|  
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| ?
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| (''62/45'')
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Line 2,018: Line 2,017:
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| 51/37
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| 251
Line 2,025: Line 2,024:
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| (29/21, 40/29)
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|-
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| (43/31)
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| 46/33
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Line 2,098: Line 2,097:
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| 60/43
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Line 2,138: Line 2,137:
| ?
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| 52/37
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Line 2,153: Line 2,152:
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| (31/22)
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| (41/29, 58/41)
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Line 2,201: Line 2,200:
|  
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| ?
| "
| (44/31)
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Line 2,218: Line 2,217:
| ?
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| "
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| 37/26
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| 276
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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 2,264: Line 2,263:
|  
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| 33/23
| "
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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 2,329: Line 2,328:
|  
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| "
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| "
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|-
|-
Line 2,338: Line 2,337:
| "
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| "
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| 74/51
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| 291
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Line 2,345: Line 2,344:
|  
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| ?
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| (''45/31'')
| "
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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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| "
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| 41/28, 60/41
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Line 2,424: Line 2,423:
|  
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| ''25/17''
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Line 2,441: Line 2,440:
|  
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| ?
| "
| (31/21)
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Line 2,458: Line 2,457:
| ?
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| 37/25
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Line 2,474: Line 2,473:
| ?
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| "
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| (43/29)
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Line 2,481: Line 2,480:
| 49/33
| 49/33
| "
| "
| "
| (''46/31'')
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Line 2,489: Line 2,488:
|  
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| ?
| ?
| "
| (58/39)
| "
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|-
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Line 2,504: Line 2,503:
|  
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|  
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| 76/51
| "
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| "
Line 2,584: Line 2,583:
|  
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| ''68/45''
| "
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Line 2,594: Line 2,593:
| "
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| (62/41)
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Line 2,602: Line 2,601:
| ?
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| "
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| 56/37
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Line 2,613: Line 2,612:
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| 721.{{overline|1}}
| 722.{{overline|2}}
|  
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| 41/27
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|  
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| 35/23
| "
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Line 2,649: Line 2,648:
|  
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| (29/19)
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Line 2,690: Line 2,689:
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| 43/28, 66/43
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Line 2,714: Line 2,713:
| ?
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| "
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| 37/24
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Line 2,745: Line 2,744:
|  
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| ?
| ?
| "
| (31/20, 48/31)
| "
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Line 2,761: Line 2,760:
|  
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| ?
| ?
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| (''45/29'')
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Line 2,818: Line 2,817:
| "
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| "
| "
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| (58/37)
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| 351
| 351
Line 2,824: Line 2,823:
|  
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| ?
| 80/51
| "
| "
| "
| "
Line 2,858: Line 2,857:
| ?
| ?
| "
| "
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| 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
Line 2,897: Line 2,896:
| 100/63
| 100/63
| "
| "
| "
| (''46/29'')
| "
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|-
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Line 2,904: Line 2,903:
|  
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|  
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| ?
| ''27/17''
| "
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| "
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Line 2,920: Line 2,919:
|  
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| 51/32
| "
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| "
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Line 2,978: Line 2,977:
| "
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| 37/23
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Line 2,985: Line 2,984:
|  
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| (''29/18'')
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| 66/41
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Line 3,001: Line 3,000:
|  
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| "
| (''50/31'')
| "
| "
|-
|-
Line 3,034: Line 3,033:
| ?
| ?
| "
| "
| "
| 60/37
|-
|-
| 378
| 378
Line 3,065: Line 3,064:
|  
|  
| ?
| ?
| "
| (31/19)
| "
| "
|-
|-
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
|-
|-
| 393
| 393
Line 3,160: Line 3,159:
|  
|  
|  
|  
| ?
| (48/29)
| "
| "
| "
| "
Line 3,226: Line 3,225:
| ?
| ?
| "
| "
| "
| 82/49
|-
|-
| 402
| 402
Line 3,234: Line 3,233:
| "
| "
| "
| "
| "
| (62/37), 72/43
|-
|-
| 403
| 403
Line 3,241: Line 3,240:
|  
|  
| ?
| ?
| "
| (52/31)
| "
| "
|-
|-
Line 3,258: Line 3,257:
| ?
| ?
| "
| "
| "
| 37/22
|-
|-
| 406
| 406
Line 3,274: Line 3,273:
| ?
| ?
| "
| "
| "
| 86/51
|-
|-
| 408
| 408
Line 3,289: Line 3,288:
|  
|  
| ?
| ?
| "
| (49/29)
| "
| "
|-
|-
Line 3,304: Line 3,303:
|  
|  
|  
|  
| ?
| 39/23
| "
| "
| "
| "
Line 3,336: Line 3,335:
|  
|  
|  
|  
| ?
| 46/27
| "
| "
| "
| "
Line 3,345: Line 3,344:
| 75/44
| 75/44
| "
| "
| "
| (29/17)
| "
| "
|-
|-
Line 3,354: Line 3,353:
| ?
| ?
| "
| "
| "
| 41/24, 70/41
|-
|-
| 418
| 418
Line 3,394: Line 3,393:
| "
| "
| "
| "
| "
| ''43/25''
|-
|-
| 423
| 423
Line 3,401: Line 3,400:
|  
|  
| ?
| ?
| "
| (''31/18'')
| "
| 74/43
|-
|-
| 424
| 424
Line 3,416: Line 3,415:
|  
|  
|  
|  
| ?
| 88/51
| "
| (''50/29'')
| "
| "
|-
|-
Line 3,480: Line 3,479:
|  
|  
|  
|  
| ?
| 68/39
| "
| (''54/31'')
| "
| "
|-
|-
Line 3,522: Line 3,521:
| 100/57
| 100/57
| "
| "
| "
| 86/49
|-
|-
| 439
| 439
Line 3,529: Line 3,528:
|  
|  
| ?
| ?
| "
| (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:
| "
| "
| "
| "
| "
| 43/24
|-
|-
| 455
| 455
Line 3,657: Line 3,656:
|  
|  
| ?
| ?
| "
| (52/29)
| "
| "
|-
|-
Line 3,705: Line 3,704:
|  
|  
| ?
| ?
| "
| (56/31)
| "
| "
|-
|-
Line 3,752: Line 3,751:
|  
|  
|  
|  
| ?
| 51/28
| "
| "
| "
| "
Line 3,761: Line 3,760:
| 175/96
| 175/96
| "
| "
| "
| (31/17)
| "
| "
|-
|-
Line 3,810: Line 3,809:
| "
| "
| "
| "
| "
| 68/37
|-
|-
| 475
| 475
Line 3,816: Line 3,815:
|  
|  
|  
|  
| ?
| 46/25
| "
| "
| "
| "
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 3,897: Line 3,896:
|  
|  
| ?
| ?
| "
| (''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)
| "
| "
|-
|-
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 4,088: Line 4,087:
|  
|  
|  
|  
| ?
| 98/51
| "
| "
| "
| "
Line 4,095: Line 4,094:
| 1133.{{overline|3}}
| 1133.{{overline|3}}
|  
|  
| 25/13
| ''25/13''
| "
| "
| "
| "
Line 4,121: Line 4,120:
|  
|  
| ?
| ?
| "
| (''29/15'')
| "
| "
|-
|-
Line 4,152: Line 4,151:
|  
|  
|  
|  
| ?
| 33/17
| "
| "
| "
| "
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 4,200: Line 4,199:
|  
|  
|  
|  
| ?
| 45/23
| "
| "
| "
| "
Line 4,216: Line 4,215:
|  
|  
|  
|  
| ?
| 51/26
| "
| "
| "
| "
Line 4,312: Line 4,311:
|  
|  
|  
|  
| ?
| 255/128
| "
| "
| "
| "
Line 4,319: Line 4,318:
| 1195.{{overline|5}}
| 1195.{{overline|5}}
|  
|  
| 648/325
| 351/176
| "
| "
| "
| "
Line 4,328: Line 4,327:
|  
|  
|  
|  
| ?
| ''483/242''
| "
| "
| "
| "
Retrieved from "https://en.xen.wiki/w/User:FloraC/Table_of_540edo_intervals"