Table of 103edo intervals: Difference between revisions

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Line 12: Line 12:
! 11-limit
! 11-limit
! 13-limit
! 13-limit
! Higher Limits
! 17-limit
|-
|-
| 0
| 0
Line 23: Line 23:
|  
|  
| ''81/80''
| ''81/80''
| 126/125
| [[126/125]]
| "
| "
| "
| "
Line 178: Line 178:
|  
|  
|  
|  
|  
| 44/39
|  
| "
|-
|-
| 19
| 19
Line 284: Line 284:
|  
|  
|  
|  
|  
| 49/40, 60/49
| 11/9, 27/22
| 11/9, 27/22
| "
| "
Line 320: Line 320:
| M3
| M3
|  
|  
|  
| 63/50
| 44/35
| 44/35
| "
| "
Line 438: Line 438:
|  
|  
|  
|  
| 11/8
| '''11/8'''
| "
| "
| "
| "
Line 463: Line 463:
| 582.524
| 582.524
|  
|  
|  
| ''45/32''
| 7/5
| 7/5
| "
| "
Line 478: Line 478:
| 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]]

Latest revision as of 15:05, 27 May 2026

This table of 103edo intervals assumes 17-limit patent 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.

Degree Cents Marks 5-limit 7-limit 11-limit 13-limit 17-limit
0 0.000 P1 1/1
1 11.650 81/80 126/125 " " "
2 23.301 65/64, 66/65, 78/77 "
3 34.951 49/48, 50/49, 64/63 " " "
4 46.602 36/35 33/32 " 35/34
5 58.252 27/26 34/33
6 69.903 25/24 28/27 " 26/25 "
7 81.553 21/20 22/21 " "
8 93.204 18/17
9 104.854 m2 17/16
10 116.505 16/15 15/14 " " "
11 128.155 14/13 "
12 139.806 13/12 "
13 151.456 12/11 " "
14 163.107 11/10 " "
15 174.757 72/65 "
16 186.408 10/9 " " " "
17 198.058 M2 9/8 " " " "
18 209.708 44/39 "
19 221.359 25/22 " 17/15
20 233.010 8/7 " " "
21 244.660 15/13 "
22 256.311 52/45 "
23 267.961 7/6 " " "
24 279.712 20/17
25 291.262 13/11 "
26 303.013 m3 32/27 25/21 " " "
27 314.563 6/5 " " " "
28 326.214 63/52, 65/54 "
29 337.864 39/32 17/14
30 349.615 49/40, 60/49 11/9, 27/22 " "
31 361.165 16/13 21/17
32 372.816 26/21, 81/65 "
33 384.466 5/4 " " " "
34 396.117 M3 63/50 44/35 " "
35 407.767 33/26 "
36 419.417 14/11 " "
37 431.068 9/7 " " "
38 442.708 22/17
39 454.369 13/10 "
40 466.019 21/16 " " 17/13
41 477.670
42 489.320 65/49 "
43 500.971 P4 4/3 " " " "
44 512.621 27/20 " " " "
45 524.272 65/48 "
46 535.922 15/11 " "
47 547.573 11/8 " "
48 559.223 18/13 "
49 570.874 25/18 " " " "
50 582.524 45/32 7/5 " " "
51 594.175 A4 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 2/1
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