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Table of 103edo intervals: Difference between revisions

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This '''table of 103edo intervals''' assumes [[13-limit]] [[patent val]] {{val| 103 163 239 289 356 381 }} of [[103edo]].  
This '''table of 103edo intervals''' assumes [[17-limit]] [[patent val]] {{val| 103 163 239 289 356 381 421 }} of [[103edo]].  


Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in ''italic''. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.
Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in ''italic''. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.


{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2 center-3"
|-
|-
! Degree
! Degree
! Cents
! Cents
! Approximate Ratios
! Marks
! 5-limit
! 7-limit
! 11-limit
! 13-limit
! 17-limit
|-
| 0
| 0.000
| P1
| colspan="5" | '''1/1'''
|-
|-
| 1
| 1
| 11.650
| 11.650
| 81/80, 126/125
|  
| ''81/80''
| [[126/125]]
| "
| "
| "
|-
|-
| 2
| 2
| 23.301
| 23.301
|
|
|
|
| 65/64, 66/65, 78/77
| 65/64, 66/65, 78/77
| "
|-
|-
| 3
| 3
| 34.951
| 34.951
| 49/48, 50/49, 64/63
|
|
| 49/48, 50/49, ''64/63''
| "
| "
| "
|-
|-
| 4
| 4
| 46.602
| 46.602
| 33/32, 35/34, 36/35
|  
|
| 36/35
| ''33/32''
| "
| 35/34
|-
|-
| 5
| 5
| 58.252
| 58.252
| 27/26, 34/33
|  
|
|
|
| ''27/26''
| ''34/33''
|-
|-
| 6
| 6
| 69.903
| 69.903
| 25/24, 26/25, 28/27
|
| 25/24
| ''28/27''
| "
| 26/25
| "
|-
|-
| 7
| 7
| 81.553
| 81.553
| 21/20, 22/21
|
|
| 21/20
| 22/21
| "
| "
|-
|-
| 8
| 8
| 93.204
| 93.204
|
|
|
|
|
| 18/17
| 18/17
|-
|-
| 9
| 9
| 104.854
| 104.854
| 17/16
| m2
|
|
|
|
| '''17/16'''
|-
|-
| 10
| 10
| 116.505
| 116.505
| 15/14, 16/15
|
| 16/15
| 15/14
| "
| "
| "
|-
|-
| 11
| 11
| 128.155
| 128.155
|
|
|
|
| 14/13
| 14/13
| "
|-
|-
| 12
| 12
| 139.806
| 139.806
|
|
|
|
| 13/12
| 13/12
| "
|-
|-
| 13
| 13
| 151.456
| 151.456
|
|
|
| 12/11
| 12/11
| "
| "
|-
|-
| 14
| 14
| 163.107
| 163.107
|
|
|
| 11/10
| 11/10
| "
| "
|-
|-
| 15
| 15
| 174.757
| 174.757
|
|
|
|
| 72/65
| 72/65
| "
|-
|-
| 16
| 16
| 186.408
| 186.408
|
| 10/9
| 10/9
| "
| "
| "
| "
|-
|-
| 17
| 17
| 198.058
| 198.058
| 9/8
| M2
| ''9/8''
| "
| "
| "
| "
|-
|-
| 18
| 18
| 209.708
| 209.708
|  
|  
|
|
|
| 44/39
| "
|-
|-
| 19
| 19
| 221.359
| 221.359
| 17/15, 25/22
|
|
|
| 25/22
| "
| 17/15
|-
|-
| 20
| 20
| 233.010
| 233.010
| 8/7
|  
|
| '''8/7'''
| "
| "
| "
|-
|-
| 21
| 21
| 244.660
| 244.660
|
|
|
|
| 15/13
| 15/13
| "
|-
|-
| 22
| 22
| 256.311
| 256.311
|  
|  
|
|
|
| ''52/45''
| "
|-
|-
| 23
| 23
| 267.961
| 267.961
|
|
| 7/6
| 7/6
| "
| "
| "
|-
|-
| 24
| 24
| 279.712
| 279.712
|
|
|
|
|
| 20/17
| 20/17
|-
|-
| 25
| 25
| 291.262
| 291.262
|
|
|
|
| 13/11
| 13/11
| "
|-
|-
| 26
| 26
| 303.013
| 303.013
| m3
| ''32/27''
| 25/21
| 25/21
| "
| "
| "
|-
|-
| 27
| 27
| 314.563
| 314.563
|
| 6/5
| 6/5
| "
| "
| "
| "
|-
|-
| 28
| 28
| 326.214
| 326.214
| 63/52, 65/54
|  
|
|
|
| ''63/52'', 65/54
| "
|-
|-
| 29
| 29
| 337.864
| 337.864
| 17/14, 39/32
|
|
|
|
| 39/32
| 17/14
|-
|-
| 30
| 30
| 349.615
| 349.615
|
|
| 49/40, 60/49
| 11/9, 27/22
| 11/9, 27/22
| "
| "
|-
|-
| 31
| 31
| 361.165
| 361.165
| 16/13, 21/17
|  
|
|
|
| '''16/13'''
| 21/17
|-
|-
| 32
| 32
| 372.816
| 372.816
| 26/21, 81/65
|
|
|
|
| 26/21, ''81/65''
| "
|-
|-
| 33
| 33
| 384.466
| 384.466
| 5/4
|  
| '''5/4'''
| "
| "
| "
| "
|-
|-
| 34
| 34
| 396.117
| 396.117
| M3
|
| 63/50
| 44/35
| 44/35
| "
| "
|-
|-
| 35
| 35
| 407.767
| 407.767
|
|
|
|
| 33/26
| 33/26
| "
|-
|-
| 36
| 36
| 419.417
| 419.417
|
|
|
| 14/11
| 14/11
| "
| "
|-
|-
| 37
| 37
| 431.068
| 431.068
|
|
| 9/7
| 9/7
| "
| "
| "
|-
|-
| 38
| 38
| 442.708
| 442.708
|
|
|
|
|
| 22/17
| 22/17
|-
|-
| 39
| 39
| 454.369
| 454.369
|
|
|
|
| 13/10
| 13/10
| "
|-
|-
| 40
| 40
| 466.019
| 466.019
| 17/13, 21/16
|
|
| 21/16
| "
| "
| 17/13
|-
|-
| 41
| 41
| 477.670
| 477.670
|
|
|
|
|
|  
|  
|-
|-
| 42
| 42
| 489.320
| 489.320
|
|
|
|
| 65/49
| 65/49
| "
|-
|-
| 43
| 43
| 500.971
| 500.971
| 4/3
| P4
| '''4/3'''
| "
| "
| "
| "
|-
|-
| 44
| 44
| 512.621
| 512.621
| 27/20
|  
| ''27/20''
| "
| "
| "
| "
|-
|-
| 45
| 45
| 524.272
| 524.272
|
|
|
|
| 65/48
| 65/48
| "
|-
|-
| 46
| 46
| 535.922
| 535.922
|
|
|
| 15/11
| 15/11
| "
| "
|-
|-
| 47
| 47
| 547.573
| 547.573
| 11/8
|  
|
|
| '''11/8'''
| "
| "
|-
|-
| 48
| 48
| 559.223
| 559.223
|
|
|
|
| 18/13
| 18/13
| "
|-
|-
| 49
| 49
| 570.874
| 570.874
|
| 25/18
| 25/18
| "
| "
| "
| "
|-
|-
| 50
| 50
| 582.524
| 582.524
|
| ''45/32''
| 7/5
| 7/5
| "
| "
| "
|-
|-
| 51
| 51
| 594.175
| 594.175
| A4
|
|
|
|
| 24/17
| 24/17
|-
|-
| …
| 52
| …
| 605.825
| …
| d5
|
|
|
|
| 17/12
|-
| 53
| 617.476
|
| 64/45
| 10/7
| "
| "
| "
|-
| 54
| 629.126
|
| 36/25
| "
| "
| "
| "
|-
| 55
| 640.777
|
|
|
|
| 13/9
| "
|-
| 56
| 652.427
|
|
|
| '''16/11'''
| "
| "
|-
| 57
| 664.078
|
|
|
| 22/15
| "
| "
|-
| 58
| 675.728
|
|
|
|
| 96/65
| "
|-
| 59
| 687.379
|
| 40/27
| "
| "
| "
| "
|-
| 60
| 699.029
| P5
| '''3/2'''
| "
| "
| "
| "
|-
| 61
| 710.680
|
|
|
|
| 98/65
| "
|-
| 62
| 722.330
|
|
|
|
|
|
|-
| 63
| 733.981
|
|
| 32/21
| "
| "
| "
|-
| 64
| 745.631
|
|
|
|
| 20/13
| "
|-
| 65
| 757.282
|
|
|
|
|
| 17/11
|-
| 66
| 768.932
|
|
| 14/9
| "
| "
| "
|-
| 67
| 780.583
|
|
|
| 11/7
| "
| "
|-
| 68
| 792.233
|
|
|
|
| 52/33
| "
|-
| 69
| 803.883
| m6
|
| 100/63
| 35/22
| "
| "
|-
| 70
| 815.534
|
|
| '''8/5'''
| "
| "
| "
|-
| 71
| 827.184
|
|
|
|
| 21/13, 130/81
| "
|-
| 72
| 838.835
|
|
|
|
| '''13/8'''
| 34/21
|-
| 73
| 850.485
|
|
| 49/30, 80/49
| 18/11, 44/27
| "
| "
|-
| 74
| 862.136
|
|
|
|
| 64/39
| 28/17
|-
| 75
| 873.786
|
|
|
|
| ''104/63'', 108/65
| "
|-
| 76
| 885.437
|
|
| 5/3
| "
| "
| "
|-
| 77
| 897.087
| M6
| ''27/16''
| 42/25
| "
| "
| "
|-
| 78
| 908.738
|
|
|
|
| 22/13
| "
|-
| 79
| 920.388
|
|
|
|
|
| 17/10
|-
| 80
| 932.039
|
|
| 12/7
| "
| "
| "
|-
| 81
| 943.689
|
|
|
| 45/26
| "
| "
|-
| 82
| 955.340
|
|
|
| 26/15
| "
| "
|-
| 83
| 966.990
|
|
| '''7/4'''
| "
| "
| "
|-
| 84
| 978.641
|
|
|
| 44/25
| "
| 30/17
|-
| 85
| 990.291
|
|
|
|
| 39/22
| "
|-
| 86
| 1001.942
| m7
| ''16/9''
| "
| "
| "
| "
|-
| 87
| 1013.592
|
| 9/5
| "
| "
| "
| "
|-
| 88
| 1025.243
|
|
|
|
| 65/36
| "
|-
| 89
| 1036.893
|
|
|
| 20/11
| "
| "
|-
| 90
| 1048.544
|
|
|
| 11/6
| "
| "
|-
| 91
| 1060.194
|
|
|
|
| 24/13
| "
|-
| 92
| 1071.845
|
|
|
|
| 13/7
| "
|-
| 93
| 1083.495
|
| 15/8
| 28/15
| "
| "
| "
|-
| 94
| 1095.146
| M7
| "
| "
| "
| "
| '''32/17'''
|-
| 95
| 1106.796
|
|
|
|
|
| 17/9
|-
| 96
| 1118.447
|
|
| 40/21
| 21/11
| "
| "
|-
| 97
| 1130.097
|
| 48/25
| ''27/14''
| "
| 25/13
| "
|-
| 98
| 1141.748
|
|
|
|
| ''52/27''
| ''33/17''
|-
| 99
| 1153.398
|
|
| 35/18
| ''64/33''
| "
| 68/35
|-
| 100
| 1165.049
|
|
| 49/25, ''63/32'', 96/49
| "
| "
| "
|-
| 101
| 1176.699
|
|
|
|
| 65/33, 77/39, 128/65
| "
|-
| 102
| 1188.350
|
| ''160/81''
| 125/63
| "
| "
| "
|-
| 103
| 1200.000
| P8
| colspan="5" | '''2/1'''
|}
|}


[[Category:103edo]]
[[Category:103edo]]
[[Category:Tables of edo intervals]]
[[Category:Tables of edo intervals]]
Retrieved from "https://en.xen.wiki/w/Table_of_103edo_intervals"