Xenharmonic Wiki

51edo: Difference between revisions

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m →Intervals: formatting
→Intervals: ratios
Line 27: Line 27:
! rowspan="2" colspan="3" | [[Ups and downs notation]]
! rowspan="2" colspan="3" | [[Ups and downs notation]]
|-
|-
! 2.3.7.13 subgroup
! 2.3.7.13<br>subgroup
! Ratios of 5 and 11<br>tending flat (51 val)
! Ratios of 5 and 11<br>tending flat (51 val)
! Ratios of 5 and 11<br>tending sharp (51ce val)
! Ratios of 5 and 11<br>tending sharp (51ce val)
Line 43: Line 43:
| 23.5
| 23.5
| [[64/63]], ''[[49/48]]''
| [[64/63]], ''[[49/48]]''
|
| ''40/39''
|[[81/80]]
| [[81/80]]
| Up 1sn
| Up 1sn
| ^1
| ^1
Line 52: Line 52:
| 47.1
| 47.1
| ''[[28/27]]''
| ''[[28/27]]''
|
| [[33/32]], ''25/24'', ''81/80''
|[[36/35]], [[40/39]]
| [[36/35]], [[40/39]]
| Downminor 2nd
| Downminor 2nd
| vm2
| vm2
Line 61: Line 61:
| 70.6
| 70.6
| [[27/26]]
| [[27/26]]
|
| ''36/35''
|
| ''21/20'', ''33/32''
| Minor 2nd
| Minor 2nd
| m2
| m2
Line 70: Line 70:
| 94.1
| 94.1
|  
|  
|[[135/128]]
| [[21/20]]
|
| ''16/15'', ''25/24''
| Upminor 2nd
| Upminor 2nd
| ^m2
| ^m2
Line 79: Line 79:
| 117.6
| 117.6
| [[14/13]]
| [[14/13]]
|[[16/15]]
| [[15/14]], [[16/15]]
|
|  
| Downmid 2nd
| Downmid 2nd
| v~2
| v~2
Line 89: Line 89:
| [[13/12]]
| [[13/12]]
|
|
|[[12/11]]
| [[12/11]], ''15/14''
| Mid 2nd
| Mid 2nd
| ~2
| ~2
Line 97: Line 97:
| 164.7
| 164.7
|
|
|[[11/10]]
| [[11/10]], ''10/9'', ''12/11''
|11/10
| 11/10
| Upmid 2nd
| Upmid 2nd
| ^~2
| ^~2
Line 107: Line 107:
|  
|  
|
|
|[[10/9]]
| [[10/9]]
| Downmajor 2nd
| Downmajor 2nd
| vM2
| vM2
Line 124: Line 124:
| 235.3
| 235.3
| [[8/7]]
| [[8/7]]
|
| ''15/13''
|
|  
| Upmajor 2nd
| Upmajor 2nd
| ^M2
| ^M2
Line 133: Line 133:
| 258.8
| 258.8
| [[7/6]]
| [[7/6]]
|
|  
|
| [[15/13]]
| Downminor 3rd
| Downminor 3rd
| vm3
| vm3
Line 143: Line 143:
| ''[[32/27]]''
| ''[[32/27]]''
|
|
|[[13/11]]
| [[13/11]]
| Minor 3rd
| Minor 3rd
| m3
| m3
Line 151: Line 151:
| 305.9
| 305.9
|  
|  
|
| ''13/11''
|[[6/5]]
| [[6/5]]
| Upminor 3rd
| Upminor 3rd
| ^m3
| ^m3
Line 159: Line 159:
| 14
| 14
| 329.4
| 329.4
|
| [[63/52]]
|[[40/33]]
| ''6/5'', ''11/9''
|40/33
|
| Downmid 3rd
| Downmid 3rd
| v~3
| v~3
Line 169: Line 169:
| 352.9
| 352.9
| [[16/13]], [[39/32]]
| [[16/13]], [[39/32]]
|
|  
|
| 11/9, 27/22
| Mid 3rd
| Mid 3rd
| ~3
| ~3
Line 178: Line 178:
| 376.5
| 376.5
| [[26/21]]
| [[26/21]]
|[[5/4]]
| [[5/4]], ''27/22''
|
|  
| Upmid 3rd
| Upmid 3rd
| ^~3
| ^~3
Line 187: Line 187:
| 400.0
| 400.0
|  
|  
|
|  
|''5/4''
| ''5/4'', ''14/11''
| Downmajor 3rd
| Downmajor 3rd
| vM3
| vM3
Line 196: Line 196:
| 423.5
| 423.5
| ''[[81/64]]''
| ''[[81/64]]''
|[[14/11]]
| [[14/11]]
|
|
| Major 3rd
| Major 3rd
Line 206: Line 206:
| ''[[9/7]]''
| ''[[9/7]]''
|
|
|[[13/10]]
| [[13/10]]
| Upmajor 3rd
| Upmajor 3rd
| ^M3
| ^M3
Line 214: Line 214:
| 470.6
| 470.6
| [[21/16]]
| [[21/16]]
|
| ''13/10''
|
|
| Down 4th
| Down 4th
Line 233: Line 233:
|  
|  
|
|
|[[27/20]]
| [[27/20]]
| Up 4th
| Up 4th
| ^4
| ^4
Line 241: Line 241:
| 541.2
| 541.2
|
|
|[[11/8]], [[15/11]]
| [[11/8]], [[15/11]], ''27/20''
|15/11
| 15/11
| Downdim 5th
| Downdim 5th
| vd5
| vd5
Line 251: Line 251:
| [[18/13]]
| [[18/13]]
|
|
|''11/8''
| ''7/5'', ''11/8''
| Dim 5th
| Dim 5th
| d5
| d5
Line 259: Line 259:
| 588.2
| 588.2
| [[39/28]]
| [[39/28]]
|[[7/5]]
| [[7/5]]
|
|
| Updim 5th
| Updim 5th
Line 268: Line 268:
| 611.8
| 611.8
| [[56/39]]
| [[56/39]]
|[[10/7]]
| [[10/7]]
|
|
| Downaug 4th
| Downaug 4th
Line 278: Line 278:
| [[13/9]]
| [[13/9]]
|
|
|''16/11''
| ''10/7'', ''16/11''
| Aug 4th
| Aug 4th
| A4
| A4
Line 286: Line 286:
| 658.8
| 658.8
|
|
|[[16/11]], [[22/15]]
| [[16/11]], [[22/15]], ''40/27''
|22/15
| 22/15
| Upaug 4th
| Upaug 4th
| ^A4
| ^A4
Line 296: Line 296:
|  
|  
|
|
|[[40/27]]
| [[40/27]]
| Down 5th
| Down 5th
| v5
| v5
Line 313: Line 313:
| 729.4
| 729.4
| [[32/21]]
| [[32/21]]
|
| ''20/13''
|
|
| Up 5th
| Up 5th
Line 323: Line 323:
| ''[[14/9]]''
| ''[[14/9]]''
|
|
|[[20/13]]
| [[20/13]]
| Downminor 6th
| Downminor 6th
| vm6
| vm6
Line 331: Line 331:
| 776.5
| 776.5
| ''[[128/81]]''
| ''[[128/81]]''
|[[11/7]]
| [[11/7]]
|
|
| Minor 6th
| Minor 6th
Line 341: Line 341:
|  
|  
|
|
|''8/5''
| ''8/5'', ''11/7''
| Upminor 6th
| Upminor 6th
| ^m6
| ^m6
Line 349: Line 349:
| 823.5
| 823.5
| [[21/13]]
| [[21/13]]
|[[8/5]]
| [[8/5]], ''44/27''
|
|  
| Downmid 6th
| Downmid 6th
| v~6
| v~6
Line 358: Line 358:
| 847.1
| 847.1
| [[13/8]], [[64/39]]
| [[13/8]], [[64/39]]
|
|  
|
| [[18/11]], [[44/27]]
| Mid 6th
| Mid 6th
| ~6
| ~6
Line 366: Line 366:
| 37
| 37
| 870.6
| 870.6
|
| [[104/63]]
|[[33/20]]
| ''5/3'', ''18/11''
|33/20
|
| Upmid 6th
| Upmid 6th
| ^~6
| ^~6
Line 376: Line 376:
| 894.1
| 894.1
|  
|  
|
| ''22/13''
|[[5/3]]
| [[5/3]]
| Downmajor 6th
| Downmajor 6th
| vM6
| vM6
Line 386: Line 386:
| ''[[27/16]]''
| ''[[27/16]]''
|
|
|[[22/13]]
| [[22/13]]
| Major 6th
| Major 6th
| M6
| M6
Line 394: Line 394:
| 941.2
| 941.2
| [[12/7]]
| [[12/7]]
|
|  
|
| [[26/15]]
| Upmajor 6th
| Upmajor 6th
| ^M6
| ^M6
Line 403: Line 403:
| 964.7
| 964.7
| [[7/4]]
| [[7/4]]
|
| ''26/15''
|
|  
| Downminor 7th
| Downminor 7th
| vm7
| vm7
Line 422: Line 422:
|  
|  
|
|
|[[9/5]]
| [[9/5]]
| Upminor 7th
| Upminor 7th
| ^m7
| ^m7
Line 430: Line 430:
| 1035.3
| 1035.3
|
|
|[[20/11]]
| [[20/11]]
|20/11
| 20/11, ''9/5'', ''11/6''
| Downmid 7th
| Downmid 7th
| v~7
| v~7
Line 440: Line 440:
| [[24/13]]
| [[24/13]]
|
|
|[[11/6]]
| [[11/6]], ''28/15''
| Mid 7th
| Mid 7th
| ~7
| ~7
Line 448: Line 448:
| 1082.4
| 1082.4
| [[13/7]]
| [[13/7]]
|[[15/8]]
| [[15/8]], [[28/15]]
|
|
| Upmid 7th
| Upmid 7th
Line 457: Line 457:
| 1105.9
| 1105.9
|  
|  
|[[256/135]]
| [[40/21]]
|
| ''15/8'', ''48/25''
| Downmajor 7th
| Downmajor 7th
| vM7
| vM7
Line 466: Line 466:
| 1129.4
| 1129.4
| [[52/27]]
| [[52/27]]
|
| ''35/18''
|
| ''40/21'', ''64/33''
| Major 7th
| Major 7th
| M7
| M7
Line 475: Line 475:
| 1152.9
| 1152.9
| ''[[27/14]]''
| ''[[27/14]]''
|
| [[64/33]], ''48/25'', ''160/81''
|[[35/18]], [[39/20]]
| [[35/18]], [[39/20]]
| Upmajor 7th
| Upmajor 7th
| ^M7
| ^M7
Line 484: Line 484:
| 1176.5
| 1176.5
| [[63/32]], ''[[96/49]]''
| [[63/32]], ''[[96/49]]''
|
| ''39/20''
|[[160/81]]
| [[160/81]]
| Down 8ve
| Down 8ve
| v8
| v8
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