Xenharmonic Wiki

34edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
Wrong comma. Should be 49/48 instead of 50/49
Split ratios of 7 in different mappings
Line 5: Line 5:


== Intervals ==
== Intervals ==
{| class="wikitable center-all right-3 left-4 left-5"
{| class="wikitable center-all right-3 left-4 left-5 left-6"
|-
|-
! Degree
! Degree
Line 11: Line 11:
! Cents
! Cents
! Approx. Ratios of<br>2.3.5.13.17 [[Subgroup]]
! Approx. Ratios of<br>2.3.5.13.17 [[Subgroup]]
! Additional Ratios<br>of 7 and 11
! Additional Ratios of 7, 11<br>Tending Flat (Patent Val)
! Additional Ratios of 7, 11<br>Tending Sharp (34d Val)
! colspan="3" | [[Ups and Downs Notation]]
! colspan="3" | [[Ups and Downs Notation]]
|-
|-
Line 19: Line 20:
| 1/1
| 1/1
|  
|  
|
| P1
| P1
| perfect unison
| perfect unison
Line 27: Line 29:
| 35.294
| 35.294
| [[128/125]], [[51/50]]
| [[128/125]], [[51/50]]
| [[50/49]], [[49/48]]
| [[28/27]], [[64/63]]
| [[36/35]]
| ^1, vm2
| ^1, vm2
| up unison, downminor 2nd
| up unison, downminor 2nd
Line 36: Line 39:
| 70.588
| 70.588
| [[25/24]], [[648/625]]
| [[25/24]], [[648/625]]
|  
| [[21/20]], [[36/35]], [[50/49]], [[33/32]]
| [[28/27]], [[49/48]], [[33/32]]
| m2
| m2
| minor 2nd
| minor 2nd
Line 45: Line 49:
| 105.882
| 105.882
| [[17/16]], [[18/17]], [[16/15]]
| [[17/16]], [[18/17]], [[16/15]]
| 15/14
| [[14/13]]
| [[15/14]], [[21/20]]
| ^m2
| ^m2
| upminor 2nd
| upminor 2nd
Line 54: Line 59:
| 141.176
| 141.176
| [[13/12]]
| [[13/12]]
| [[14/13]], [[12/11]]
| [[15/14]], [[12/11]]
| [[12/11]], [[14/13]]
| ~2
| ~2
| mid 2nd
| mid 2nd
Line 63: Line 69:
| 176.471
| 176.471
| [[10/9]]
| [[10/9]]
| [[11/10]]
| [[11/10]]
| [[11/10]]
| vM2
| vM2
Line 73: Line 80:
| [[9/8]], [[17/15]]
| [[9/8]], [[17/15]]
|  
|  
| [[8/7]]
| M2
| M2
| major 2nd
| major 2nd
Line 81: Line 89:
| 247.059
| 247.059
| [[15/13]]
| [[15/13]]
| [[8/7]]
| [[7/6]], [[8/7]]
|
| ^M2, vm3
| ^M2, vm3
| upmajor 2nd, downminor 3rd
| upmajor 2nd, downminor 3rd
Line 90: Line 99:
| 282.353
| 282.353
| [[20/17]], [[75/64]]
| [[20/17]], [[75/64]]
| [[13/11]]
| [[7/6]], [[13/11]]
| [[7/6]], [[13/11]]
| m3
| m3
Line 98: Line 108:
| me
| me
| 317.647
| 317.647
| 6/5
| [[6/5]]
| [[17/14]]
|
|17/14
| ^m3
| ^m3
| upminor 3rd
| upminor 3rd
Line 108: Line 119:
| 352.941
| 352.941
| [[16/13]]
| [[16/13]]
| [[11/9]]
| [[11/9]], [[27/22]], [[17/14]], [[21/17]]
| [[11/9]], [[27/22]]
| ~3
| ~3
| mid 3rd
| mid 3rd
Line 117: Line 129:
| 388.235
| 388.235
| [[5/4]]
| [[5/4]]
|  
| [[14/11]]
| [[21/17]]
| vM3
| vM3
| downmajor 3rd
| downmajor 3rd
Line 125: Line 138:
| maa
| maa
| 423.529
| 423.529
| [[51/40|51/40]], [[32/25]]
| [[51/40]], [[32/25]]
| [[14/11]], [[9/7]]
|
| [[9/7]], [[14/11]]
| M3
| M3
| major 3rd
| major 3rd
Line 135: Line 149:
| 458.824
| 458.824
| [[13/10]], [[17/13]]
| [[13/10]], [[17/13]]
| [[9/7]], [[21/16]], [[22/17]]
| [[22/17]]
| [[22/17]]
| ^M3, v4
| ^M3, v4
Line 145: Line 160:
| [[4/3]]
| [[4/3]]
|  
|  
| [[21/16]]
| P4
| P4
| 4th
| 4th
Line 153: Line 169:
| 529.412
| 529.412
| [[512/375]], [[34/25]]
| [[512/375]], [[34/25]]
| [[15/11]]
| [[15/11]]
| [[15/11]]
| ^4
| ^4
Line 162: Line 179:
| 564.706
| 564.706
| [[36/25]], [[18/13]]
| [[36/25]], [[18/13]]
| 11/8
| [[11/8]], [[7/5]]
| [[11/8]]
| ~4, d5
| ~4, d5
| mid 4th, dim 5th
| mid 4th, dim 5th
Line 171: Line 189:
| 600<span style="color: #fff;">.000</span>
| 600<span style="color: #fff;">.000</span>
| [[17/12]], [[24/17]]
| [[17/12]], [[24/17]]
|
| [[7/5]], [[10/7]]
| [[7/5]], [[10/7]]
| vA4, ^d5
| vA4, ^d5
Line 180: Line 199:
| 635.294
| 635.294
| [[25/18]], [[13/9]]
| [[25/18]], [[13/9]]
| [[16/11]], [[10/7]]
| [[16/11]]
| [[16/11]]
| A4, ~5
| A4, ~5
Line 189: Line 209:
| 670.588
| 670.588
| [[375/256]], [[25/17]]
| [[375/256]], [[25/17]]
| [[22/15]]
| [[22/15]]
| [[22/15]]
| v5
| v5
Line 199: Line 220:
| [[3/2]]
| [[3/2]]
|  
|  
| [[32/21]]
| P5
| P5
| perfect 5th
| perfect 5th
Line 207: Line 229:
| 741.176
| 741.176
| [[20/13]], [[26/17]]
| [[20/13]], [[26/17]]
| [[17/11]], [[14/9]], [[32/21]]
| [[17/11]]
| [[17/11]]
| ^5, vm6
| ^5, vm6
Line 216: Line 239:
| 776.471
| 776.471
| [[25/16]], [[80/51]]
| [[25/16]], [[80/51]]
| [[14/9]]
|
| [[14/9]], [[11/7]]
| m6
| m6
| minor 6th
| minor 6th
Line 225: Line 249:
| 811.765
| 811.765
| [[8/5]]
| [[8/5]]
|  
| [[11/7]]
| [[34/21]]
| ^m6
| ^m6
| upminor 6th
| upminor 6th
Line 234: Line 259:
| 847.059
| 847.059
| [[13/8]]
| [[13/8]]
| [[18/11]]
| [[18/11]], [[44/27]], [[28/17]], [[34/21]]
| [[18/11]], [[44/27]]
| ~6
| ~6
| mid 6th
| mid 6th
Line 243: Line 269:
| 882.353
| 882.353
| [[5/3]]
| [[5/3]]
|
| [[28/17]]
| [[28/17]]
| vM6
| vM6
Line 252: Line 279:
| 917.647
| 917.647
| [[17/10]]
| [[17/10]]
| [[22/13]]
| [[12/7]], [[22/13]]
| [[12/7]], [[22/13]]
| M6
| M6
Line 261: Line 289:
| 952.941
| 952.941
| [[26/15]]
| [[26/15]]
| [[7/4]]
| [[7/4]], [[12/7]]
|
| ^M6, vm7
| ^M6, vm7
| upmajor 6th, downminor 7th
| upmajor 6th, downminor 7th
Line 271: Line 300:
| [[16/9]], [[30/17]]
| [[16/9]], [[30/17]]
|  
|  
| [[7/4]]
| m7
| m7
| minor 7th
| minor 7th
Line 279: Line 309:
| 1023.529
| 1023.529
| [[9/5]]
| [[9/5]]
| [[20/11]]
| [[20/11]]
| [[20/11]]
| ^m7
| ^m7
Line 288: Line 319:
| 1058.824
| 1058.824
| [[24/13]]
| [[24/13]]
| [[13/7]], [[11/6]]
| [[28/15]], [[11/6]]
| [[11/6]], [[13/7]]
| ~7
| ~7
| mid 7th
| mid 7th
Line 297: Line 329:
| 1094.118
| 1094.118
| [[32/17]], [[17/9]], [[15/8]]
| [[32/17]], [[17/9]], [[15/8]]
| [[28/15]]
| [[13/7]]
| [[28/15]], [[40/21]]
| vM7
| vM7
| downmajor 7th
| downmajor 7th
Line 306: Line 339:
| 1129.412
| 1129.412
| [[48/25]], [[625/324]]
| [[48/25]], [[625/324]]
|  
| [[40/21]], [[35/18]], [[49/25]], [[64/33]]
| [[27/14]], [[96/49]], [[64/33]]
| M7
| M7
| major 7th
| major 7th
Line 315: Line 349:
| 1164.706
| 1164.706
| [[125/64]], [[100/51]]
| [[125/64]], [[100/51]]
| [[49/25]], [[96/49]]
| [[27/14]], [[63/32]]
| [[35/18]]
| ^M7, v8
| ^M7, v8
| upmajor 7th, down 8ve
| upmajor 7th, down 8ve
Line 325: Line 360:
| [[2/1]]
| [[2/1]]
|  
|  
|
| P8
| P8
| 8ve
| 8ve
Line 383: Line 419:
| ''6.021''
| ''6.021''
|-
|-
| '''[[16/13]], [[113/8]]'''
| '''[[16/13]], [[13/8]]'''
| '''6.531'''
| '''6.531'''
|-
|-
Line 445: Line 481:
|-
|-
| '''[[4/3]], [[3/2]]'''
| '''[[4/3]], [[3/2]]'''
| 3.927
| '''3.927'''
|-
|-
| [[13/10]], [[20/13]]
| [[13/10]], [[20/13]]
Retrieved from "https://en.xen.wiki/w/34edo"