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59edo: Difference between revisions

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191 edits
Removed 7mus column
Interval table
Line 5: Line 5:
59edo is the 17th [[prime_numbers|prime]] edo.
59edo is the 17th [[prime_numbers|prime]] edo.


{| class="wikitable"
== Intervals ==
{| class="wikitable center-all right-2 left-3 left-4"
|-
|-
! | Degrees
! rowspan="2"| Degrees
! | Cents Value
! rowspan="2"| Cents
! colspan="2"| Approximate Ratios
|-
|-
|0
! 2.9.5.21.11.17 Subgroup
|0
! Full 11-limit in Patent Val
|-
|-
| | 1
| 0
| | 20.339
| 0.000
| [[1/1]]
| [[1/1]]
|-
|-
| | 2
| 1
| | 40.678
| 20.339
| [[81/80]]
| [[50/49]], [[99/98]]
|-
|-
| | 3
| 2
| | 61.017
| 40.678
| [[128/125]]
| [[49/48]]
|-
|-
| | 4
| 3
| | 81.356
| 61.017
| [[648/625]]
| [[25/24]], [[81/80]], [[36/35]], [[33/32]]
|-
|-
| | 5
| 4
| | 101.695
| 81.356
| [[21/20]], [[22/21]]
|
|-
|-
| | 6
| 5
| | 122.034
| 101.695
| [[17/16]], [[18/17]]
| [[16/15]]
|-
|-
| | 7
| 6
| | 142.373
| 122.034
|
| [[15/14]]
|-
|-
| | 8
| 7
| | 162.712
| 142.373
|
|
|-
|-
| | 9
| 8
| | 183.051
| 162.712
| [[11/10]]
| [[10/9]], [[11/10]], [[12/11]]
|-
|-
| | 10
| 9
| | 203.39
| 183.051
| [[10/9]]
|
|-
|-
| | 11
| 10
| | 223.729
| 203.390
| [[9/8]]
|
|-
|-
| | 12
| 11
| | 244.068
| 223.729
|
| [[9/8]], [[8/7]]
|-
|-
| | 13
| 12
| | 264.407
| 244.068
|
|
|-
|-
| | 14
| 13
| | 284.746
| 264.407
|
| [[7/6]]
|-
|-
| | 15
| 14
| | 305.085
| 284.746
| [[20/17]]
|
|-
|-
| | 16
| 15
| | 325.424
| 305.085
|
|
|-
|-
| | 17
| 16
| | 345.763
| 325.424
|
| [[6/5]], [[11/9]]
|-
|-
| | 18
| 17
| | 366.102
| 345.763
| [[11/9]]
|
|-
|-
| | 19
| 18
| | 386.441
| 366.102
| [[21/17]]
|
|-
|-
| | 20
| 19
| | 406.78
| 386.441
| [[5/4]]
| [[5/4]]
|-
|-
| | 21
| 20
| | 427.119
| 406.780
| [[81/64]]
|
|-
|-
| | 22
| 21
| | 447.458
| 427.119
| [[32/25]]
| [[32/25]], [[14/11]]
|-
|-
| | 23
| 22
| | 467.797
| 447.458
| [[22/17]]
| [[9/7]]
|-
|-
| | 24
| 23
| | 488.136
| 467.797
| [[21/16]]
|
|-
|-
| | 25
| 24
| | 508.475
| 488.136
|
| [[4/3]], [[21/16]]
|-
|-
| | 26
| 25
| | 528.814
| 508.475
|
|
|-
|-
| | 27
| 26
| | 549.1525
| 528.814
|
|
|-
|-
| | 28
| 27
| | 569.4915
| 549.153
| [[11/8]]
| [[27/20]], [[11/8]], [[15/11]]
|-
|-
| | 29
| 28
| | 589.8305
| 569.492
| [[25/18]]
|
|-
|-
| | 30
| 29
| | 610.1695
| 589.831
| [[45/32]]
| [[7/5]]
|-
|-
| | 31
| 30
| | 630.5085
| 610.169
| [[64/45]]
| [[10/7]]
|-
|-
| | 32
| 31
| | 650.8475
| 630.508
| [[36/25]]
|
|-
|-
| | 33
| 32
| | 671.186
| 650.847
| [[16/11]]
| [[40/27]], [[16/11]], [[22/15]]
|-
|-
| | 34
| 33
| | 691.525
| 671.186
|
|
|-
|-
| | 35
| 34
| | 711.864
| 691.525
|
|
|-
|-
| | 36
| 35
| | 732.203
| 711.864
|
| [[3/2]], [[32/21]]
|-
|-
| | 37
| 36
| | 752.542
| 732.203
| [[32/21]]
|
|-
|-
| | 38
| 37
| | 772.881
| 752.542
| [[17/11]]
| [[14/9]]
|-
|-
| | 39
| 38
| | 793.22
| 772.881
| [[25/16]]
| [[25/16]], [[11/7]]
|-
|-
| | 40
| 39
| | 813.559
| 793.220
| [[128/81]]
|
|-
|-
| | 41
| 40
| | 833.898
| 813.559
| [[8/5]]
| [[8/5]]
|-
|-
| | 42
| 41
| | 854.237
| 833.898
| [[34/21]]
|
|-
|-
| | 43
| 42
| | 874.576
| 854.237
| [[18/11]]
|
|-
|-
| | 44
| 43
| | 894.915
| 874.576
|
| [[5/3]], [[18/11]]
|-
|-
| | 45
| 44
| | 915.254
| 894.915
|
|
|-
|-
| | 46
| 45
| | 935.593
| 915.254
| [[17/10]]
|
|-
|-
| | 47
| 46
| | 955.932
| 935.593
|
| [[12/7]]
|-
|-
| | 48
| 47
| | 976.271
| 955.932
|
|
|-
|-
| | 49
| 48
| | 996.61
| 976.271
|
| [[16/9]], [[7/4]]
|-
|-
| | 50
| 49
| | 1016.949
| 996.610
| [[16/9]]
|
|-
|-
| | 51
| 50
| | 1037.288
| 1016.949
| [[9/5]]
|
|-
|-
| | 52
| 51
| | 1057.627
| 1037.288
| [[20/11]]
| [[9/5]], [[11/6]], [[20/11]]
|-
|-
| | 53
| 52
| | 1077.966
| 1057.627
|
|
|-
|-
| | 54
| 53
| | 1098.305
| 1077.966
|
| [[28/15]]
|-
|-
| | 55
| 54
| | 1118.644
| 1098.305
| [[17/9]], [[32/17]]
| [[15/8]]
|-
|-
| | 56
| 55
| | 1138.983
| 1118.644
| [[40/21]], [[21/11]]
|
|-
|-
| | 57
| 56
| | 1159.322
| 1138.983
| [[625/324]]
| [[48/25]], [[160/81]], [[35/18]], [[64/33]]
|-
|-
| | 58
| 57
| | 1179.661
| 1159.322
| [[125/64]]
| [[96/49]]
|-
| 58
| 1179.661
| [[160/81]]
| [[49/25]], [[196/99]]
|-
| 59
| 1200.000
| [[2/1]]
| [[2/1]]
|}
|}


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