Table of 103edo intervals: Difference between revisions

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+a ratio and mark italic
Split by prime limit
Line 8: Line 8:
! Cents
! Cents
! Marks
! Marks
! Approximate Ratios
! 5-limit
! 7-limit
! 11-limit
! 13-limit
! Higher Limits
|-
|-
| 0
| 0
| 0.000
| 0.000
| P1
| P1
| 1/1
| 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'', 36/35, 35/34
|
| 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, ''28/27'', 26/25
| 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
Line 58: Line 94:
| 104.854
| 104.854
| m2
| m2
|
|
|
|
| '''17/16'''
| '''17/16'''
|-
|-
Line 63: Line 103:
| 116.505
| 116.505
|  
|  
| 16/15, 15/14
| 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
Line 94: Line 158:
|  
|  
| 10/9
| 10/9
| "
| "
| "
| "
|-
|-
| 17
| 17
Line 99: Line 167:
| M2
| M2
| ''9/8''
| ''9/8''
| "
| "
| "
| "
|-
|-
| 18
| 18
| 209.708
| 209.708
|
|
|
|
|
|  
|  
|-
|-
Line 107: Line 184:
| 221.359
| 221.359
|  
|  
| 25/22, 17/15
|
|
| 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''
| ''52/45''
| "
|-
|-
| 23
| 23
| 267.961
| 267.961
|
|  
|  
| 7/6
| 7/6
| "
| "
| "
|-
|-
| 24
| 24
| 279.712
| 279.712
|
|
|
|
|  
|  
| 20/17
| 20/17
Line 136: Line 237:
| 25
| 25
| 291.262
| 291.262
|
|
|
|  
|  
| 13/11
| 13/11
| "
|-
|-
| 26
| 26
| 303.013
| 303.013
| m3
| m3
| ''32/27''
| 25/21
| 25/21
| "
| "
| "
|-
|-
| 27
| 27
Line 148: Line 257:
|  
|  
| 6/5
| 6/5
| "
| "
| "
| "
|-
|-
| 28
| 28
| 326.214
| 326.214
|
|
|
|  
|  
| ''63/52'', 65/54
| ''63/52'', 65/54
| "
|-
|-
| 29
| 29
| 337.864
| 337.864
|  
|  
| 39/32, 17/14
|
|
|
| 39/32
| 17/14
|-
|-
| 30
| 30
| 349.615
| 349.615
|
|
|  
|  
| 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
Line 178: Line 311:
|  
|  
| '''5/4'''
| '''5/4'''
| "
| "
| "
| "
|-
|-
| 34
| 34
| 396.117
| 396.117
| M3
| M3
|
|
| 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
Line 206: Line 363:
| 39
| 39
| 454.369
| 454.369
|
|
|
|  
|  
| 13/10
| 13/10
| "
|-
|-
| 40
| 40
| 466.019
| 466.019
|  
|  
| 21/16, 17/13
|
| 21/16
| "
| "
| 17/13
|-
|-
| 41
| 41
| 477.670
| 477.670
|
|
|
|
|  
|  
|  
|  
Line 221: Line 390:
| 42
| 42
| 489.320
| 489.320
|
|
|
|  
|  
| 65/49
| 65/49
| "
|-
|-
| 43
| 43
Line 228: Line 401:
| P4
| P4
| '''4/3'''
| '''4/3'''
| "
| "
| "
| "
|-
|-
| 44
| 44
Line 233: Line 410:
|  
|  
| ''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
Line 258: Line 455:
|  
|  
| 25/18
| 25/18
| "
| "
| "
| "
|-
|-
| 50
| 50
| 582.524
| 582.524
|
|  
|  
| 7/5
| 7/5
| "
| "
| "
|-
|-
| 51
| 51
| 594.175
| 594.175
| A4
| A4
|
|
|
|
| 24/17
| 24/17
|-
|-
Line 272: Line 481:
| …
| …
|  
|  
| …
| …
| …
| …
| …
| …
|}
|}

Revision as of 05:29, 29 January 2024

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 Higher Limits
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
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 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 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 7/5 " " "
51 594.175 A4 24/17
… … … … … … …
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