Table of 94edo intervals: Difference between revisions

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Add the column for cents
Extend to 23-limit (turns out there's not many distinct intervals of 23). 28/25 and 25/14 was wrong, removed
Line 1: Line 1:
Assuming 23-limit patent val <94 149 218 264 325 348 384 399 425|.
{| class="wikitable"
{| class="wikitable"
|-
|-
!| Step
!| Step
!| Cents
!| Cents
!| Five limit
!| 5 limit
!| Seven limit
!| 7 limit
!| Eleven limit
!| 11 limit
!| Thirteen limit
!| 13 limit
!17 limit
!19 limit
!23 limit
|-
|-
| | 1
| | 1
Line 13: Line 17:
| | 245/243
| | 245/243
| colspan="2" | 99/98
| colspan="2" | 99/98
| colspan="3" |85/84
|-
|-
| | 2
| | 2
|25.532
|25.532
| | 81/80
| | 81/80
| colspan="3" | 50/49
| colspan="6" | 50/49
|-
|-
| | 3
| | 3
Line 24: Line 29:
| | 49/48
| | 49/48
| | 45/44
| | 45/44
| | 40/39
| colspan="4"| 40/39
|-
|-
| | 4
| | 4
Line 30: Line 35:
| | 128/125
| | 128/125
| | 36/35
| | 36/35
| colspan="2" | 33/32
| colspan="5" | 33/32
|-
|-
| | 5
| | 5
|63.830
|63.830
| colspan="4" | 25/24
| colspan="7" | 25/24
|-
|-
| | 6
| | 6
Line 40: Line 45:
| | 648/625
| | 648/625
| | 256/245
| | 256/245
| colspan="2" | 22/21
| colspan="5" | 22/21
|-
|-
| | 7
| | 7
|89.362
|89.362
| | 135/128
| | 135/128
| colspan="3" | 21/20
| colspan="4" | 21/20
| colspan="2" |19/18
|-
|-
| | 8
| | 8
Line 52: Line 58:
| | 343/324
| | 343/324
| colspan="2" | 35/33
| colspan="2" | 35/33
| colspan="3" |17/16
|-
|-
| | 9
| | 9
|114.894
|114.894
| | 16/15
| | 16/15
| colspan="3" | 15/14
| colspan="6" | 15/14
|-
|-
| | 10
| | 10
Line 63: Line 70:
| | 175/162
| | 175/162
| | 121/112
| | 121/112
| | 14/13
| colspan="4"| 14/13
|-
|-
| | 11
| | 11
|140.426
|140.426
| colspan="3" | 27/25
| colspan="3" | 27/25
| | 13/12
| colspan="4"| 13/12
|-
|-
| | 12
| | 12
Line 74: Line 81:
| | 800/729
| | 800/729
| | 35/32
| | 35/32
| colspan="2" | 12/11
| colspan="5" | 12/11
|-
|-
| | 13
| | 13
Line 80: Line 87:
| | 2048/1875
| | 2048/1875
| | 54/49
| | 54/49
| colspan="2" | 11/10
| colspan="5" | 11/10
|-
|-
| | 14
| | 14
|178.723
|178.723
| colspan="4" | 10/9
| colspan="7" | 10/9
|-
|-
| | 15
| | 15
Line 91: Line 98:
| | 384/343
| | 384/343
| | 49/44
| | 49/44
| | 39/35
| colspan="2"| 39/35
| colspan="2" |19/17
|-
|-
| | 16
| | 16
|204.255
|204.255
| colspan="4" | 9/8
| colspan="7" | 9/8
|-
|-
| | 17
| | 17
|217.021
|217.021
| | 2500/2187
| | 2500/2187
| |28/25
| colspan="3"|25/22
| colspan="2" | 25/22
| colspan="3" |17/15
|-
|-
| | 18
| | 18
|229.787
|229.787
| | 256/225
| | 256/225
| colspan="3" | 8/7
| colspan="6" | 8/7
|-
|-
| | 19
| | 19
Line 113: Line 121:
| | 125/108
| | 125/108
| | 63/55
| | 63/55
| | 15/13
| colspan="4"| 15/13
|-
|-
| | 20
| | 20
Line 120: Line 128:
| colspan="2" | 81/70
| colspan="2" | 81/70
| | 52/45
| | 52/45
|51/44
| colspan="2" |22/19
|-
|-
| | 21
| | 21
|268.085
|268.085
| | 75/64
| | 75/64
| colspan="3" | 7/6
| colspan="6" | 7/6
|-
|-
| | 22
| | 22
Line 131: Line 141:
| | 288/245
| | 288/245
| colspan="2" | 33/28
| colspan="2" | 33/28
| colspan="3" |20/17
|-
|-
| | 23
| | 23
Line 136: Line 147:
| | 32/27
| | 32/27
| colspan="2" | 25/21
| colspan="2" | 25/21
| | 13/11
| colspan="4"| 13/11
|-
|-
| | 24
| | 24
Line 143: Line 154:
| | 343/288
| | 343/288
| colspan="2" | 105/88
| colspan="2" | 105/88
|81/68
|68/57
|55/46
|-
|-
| | 25
| | 25
|319.149
|319.149
| colspan="4" | 6/5
| colspan="7" | 6/5
|-
|-
| | 26
| | 26
Line 153: Line 167:
| | 98/81
| | 98/81
| colspan="2" | 40/33
| colspan="2" | 40/33
| colspan="3" |17/14
|-
|-
| | 27
| | 27
Line 158: Line 173:
| | 243/200
| | 243/200
| | 60/49
| | 60/49
| colspan="2" | 11/9
| colspan="5" | 11/9
|-
|-
| | 28
| | 28
Line 165: Line 180:
| | 49/40
| | 49/40
| | 27/22
| | 27/22
| | 16/13
| colspan="4"| 16/13
|-
|-
| | 29
| | 29
Line 173: Line 188:
| | 99/80
| | 99/80
| | 26/21
| | 26/21
| colspan="3" |21/17
|-
|-
| | 30
| | 30
|382.979
|382.979
| colspan="4" | 5/4
| colspan="7" | 5/4
|-
|-
| | 31
| | 31
Line 183: Line 199:
| | 432/343
| | 432/343
| colspan="2" | 44/35
| colspan="2" | 44/35
| colspan="3" |34/27
|-
|-
| | 32
| | 32
|408.511
|408.511
| | 81/64
| | 81/64
| | 63/50
| colspan="2"| 63/50
| | 63/50
| colspan="2"| 33/26
| | 33/26
| colspan="2" |19/15
|-
|-
| | 33
| | 33
Line 195: Line 212:
| | 625/486
| | 625/486
| | 245/192
| | 245/192
| colspan="2" | 14/11
| colspan="5" | 14/11
|-
|-
| | 34
| | 34
|434.043
|434.043
| | 32/25
| | 32/25
| colspan="3" | 9/7
| colspan="6" | 9/7
|-
|-
| | 35
| | 35
|446.809
|446.809
| | 125/96
| | 125/96
| | 35/27
| colspan="3"| 35/27
| | 35/27
| colspan="3" |22/17
| | 35/27
|-
|-
| | 36
| | 36
Line 214: Line 230:
| | 64/49
| | 64/49
| | 55/42
| | 55/42
| | 13/10
| colspan="4"| 13/10
|-
|-
| | 37
| | 37
|472.340
|472.340
| | 320/243
| | 320/243
| colspan="3" | 21/16
| colspan="6" | 21/16
|-
|-
| | 38
| | 38
Line 225: Line 241:
| | 4096/3125
| | 4096/3125
| | 324/245
| | 324/245
| colspan="2" | 33/25
| colspan="5" | 33/25
|-
|-
| | 39
| | 39
|497.872
|497.872
| colspan="4" | 4/3
| colspan="7" | 4/3
|-
|-
| | 40
| | 40
Line 236: Line 252:
| | 343/256
| | 343/256
| | 66/49
| | 66/49
| | 35/26
| colspan="4"| 35/26
|-
|-
| | 41
| | 41
|523.404
|523.404
| colspan="4" | 27/20
| colspan="5" | 27/20
| colspan="2" |19/14
|-
|-
| | 42
| | 42
Line 246: Line 263:
| | 1000/729
| | 1000/729
| | 49/36
| | 49/36
| colspan="2" | 15/11
| colspan="5" | 15/11
|-
|-
| | 43
| | 43
Line 252: Line 269:
| | 512/375
| | 512/375
| | 48/35
| | 48/35
| colspan="2" | 11/8
| colspan="5" | 11/8
|-
|-
| | 44
| | 44
Line 258: Line 275:
| | 25/18
| | 25/18
| colspan="2" | 25/18
| colspan="2" | 25/18
| | 18/13
| colspan="4"| 18/13
|-
|-
| | 45
| | 45
Line 265: Line 282:
| | 243/175
| | 243/175
| | 88/63
| | 88/63
| | 39/28
| colspan="3"| 39/28
|32/23
|-
|-
| | 46
| | 46
|587.234
|587.234
| | 45/32
| | 45/32
| colspan="3" | 7/5
| colspan="6" | 7/5
|-
|-
| | 47
| | 47
Line 277: Line 295:
| | 343/243
| | 343/243
| colspan="2" | 99/70
| colspan="2" | 99/70
| colspan="3" |17/12
|-
|-
| | 48
| | 48
|612.766
|612.766
| | 64/45
| | 64/45
| colspan="3" | 10/7
| colspan="6" | 10/7
|-
|-
| | 49
| | 49
Line 288: Line 307:
| | 343/240
| | 343/240
| | 63/44
| | 63/44
| | 56/39
| colspan="3"| 56/39
|23/16
|-
|-
| | 50
| | 50
Line 294: Line 314:
| | 36/25
| | 36/25
| colspan="2" | 36/25
| colspan="2" | 36/25
| | 13/9
| colspan="4"| 13/9
|-
|-
| | 51
| | 51
Line 300: Line 320:
| | 375/256
| | 375/256
| | 35/24
| | 35/24
| colspan="2" | 16/11
| colspan="5" | 16/11
|-
|-
| | 52
| | 52
Line 306: Line 326:
| | 729/500
| | 729/500
| | 72/49
| | 72/49
| colspan="2" | 22/15
| colspan="5" | 22/15
|-
|-
| | 53
| | 53
|676.596
|676.596
| colspan="4" | 40/27
| colspan="5" | 40/27
| colspan="2" |28/19
|-
|-
| | 54
| | 54
Line 316: Line 337:
| | 4608/3125
| | 4608/3125
| | 512/343
| | 512/343
| colspan="2" | 49/33
| colspan="5" | 49/33
|-
|-
| | 55
| | 55
|702.128
|702.128
| colspan="4" | 3/2
| colspan="7" | 3/2
|-
|-
| | 56
| | 56
Line 326: Line 347:
| | 3125/2048
| | 3125/2048
| | 245/162
| | 245/162
| colspan="2" | 50/33
| colspan="5" | 50/33
|-
|-
| | 57
| | 57
|727.660
|727.660
| | 243/160
| | 243/160
| colspan="3" | 32/21
| colspan="6" | 32/21
|-
|-
| | 58
| | 58
Line 337: Line 358:
| | 125/81
| | 125/81
| colspan="2" | 49/32
| colspan="2" | 49/32
| | 20/13
| colspan="4"| 20/13
|-
|-
| | 59
| | 59
Line 343: Line 364:
| | 192/125
| | 192/125
| colspan="3" | 54/35
| colspan="3" | 54/35
| colspan="3" |17/11
|-
|-
| | 60
| | 60
|765.957
|765.957
| | 25/16
| | 25/16
| colspan="3" | 14/9
| colspan="6" | 14/9
|-
|-
| | 61
| | 61
Line 353: Line 375:
| | 972/625
| | 972/625
| | 384/245
| | 384/245
| colspan="2" | 11/7
| colspan="5" | 11/7
|-
|-
| | 62
| | 62
Line 359: Line 381:
| | 128/81
| | 128/81
| colspan="2" | 63/40
| colspan="2" | 63/40
| | 52/33
| colspan="2"| 52/33
| colspan="2" |19/12
|-
|-
| | 63
| | 63
Line 366: Line 389:
| | 343/216
| | 343/216
| colspan="2" | 35/22
| colspan="2" | 35/22
| colspan="3" |27/17
|-
|-
| | 64
| | 64
|817.021
|817.021
| colspan="4" | 8/5
| colspan="7" | 8/5
|-
|-
| | 65
| | 65
Line 376: Line 400:
| | 175/108
| | 175/108
| | 121/75
| | 121/75
| | 21/13
| colspan="4"| 21/13
|-
|-
| | 66
| | 66
Line 383: Line 407:
| | 80/49
| | 80/49
| | 44/27
| | 44/27
| | 13/8
| colspan="4"| 13/8
|-
|-
| | 67
| | 67
Line 389: Line 413:
| | 400/243
| | 400/243
| | 49/30
| | 49/30
| colspan="2" | 18/11
| colspan="5" | 18/11
|-
|-
| | 68
| | 68
Line 396: Line 420:
| | 81/49
| | 81/49
| colspan="2" | 33/20
| colspan="2" | 33/20
| colspan="3" |28/17
|-
|-
| | 69
| | 69
|880.851
|880.851
| colspan="4" | 5/3
| colspan="7" | 5/3
|-
|-
| | 70
| | 70
Line 406: Line 431:
| | 576/343
| | 576/343
| | 121/72
| | 121/72
| | 117/70
| colspan="2"| 117/70
| colspan="2" |57/34
|-
|-
| | 71
| | 71
|906.383
|906.383
| colspan="3" | 27/16
| colspan="3" | 27/16
| | 22/13
| colspan="4"| 22/13
|-
|-
| | 72
| | 72
Line 419: Line 445:
| | 56/33
| | 56/33
| | 56/33
| | 56/33
| colspan="3" |17/10
|-
|-
| | 73
| | 73
|931.915
|931.915
| | 128/75
| | 128/75
| colspan="3" | 12/7
| colspan="6" | 12/7
|-
|-
| | 74
| | 74
Line 429: Line 456:
| colspan="2" | 125/72
| colspan="2" | 125/72
| | 121/70
| | 121/70
| | 45/26
| colspan="2"| 45/26
| colspan="2" |19/11
|-
|-
| | 75
| | 75
Line 436: Line 464:
| | 216/125
| | 216/125
| | 110/63
| | 110/63
| | 26/15
| colspan="4"| 26/15
|-
|-
| | 76
| | 76
|970.213
|970.213
| | 225/128
| | 225/128
| colspan="3" | 7/4
| colspan="6" | 7/4
|-
|-
| | 77
| | 77
Line 448: Line 476:
| | 432/245
| | 432/245
| colspan="2" | 44/25
| colspan="2" | 44/25
| colspan="2" |30/17
|23/13
|-
|-
| | 78
| | 78
|995.745
|995.745
| colspan="4" | 16/9
| colspan="7" | 16/9
|-
|-
| | 79
| | 79
|1008.511
|1008.511
| | 3125/1728
| | 3125/1728
| colspan="3" |25/14
|343/192
| colspan="3" |88/49
| colspan="2" |34/19
|-
|-
| | 80
| | 80
|1021.277
|1021.277
| colspan="4" | 9/5
| colspan="7" | 9/5
|-
|-
| | 81
| | 81
Line 466: Line 498:
| | 1875/1024
| | 1875/1024
| | 49/27
| | 49/27
| colspan="2" | 20/11
| colspan="5" | 20/11
|-
|-
| | 82
| | 82
Line 472: Line 504:
| | 729/400
| | 729/400
| | 64/35
| | 64/35
| colspan="2" | 11/6
| colspan="5" | 11/6
|-
|-
| | 83
| | 83
|1059.574
|1059.574
| colspan="3" | 50/27
| colspan="3" | 50/27
| | 24/13
| colspan="4"| 24/13
|-
|-
| | 84
| | 84
Line 484: Line 516:
| | 324/175
| | 324/175
| | 224/121
| | 224/121
| | 13/7
| colspan="4"| 13/7
|-
|-
| | 85
| | 85
|1085.106
|1085.106
| colspan="4" | 15/8
| colspan="7" | 15/8
|-
|-
| | 86
| | 86
Line 496: Line 528:
| | 66/35
| | 66/35
| | 49/26
| | 49/26
| colspan="3" |17/9
|-
|-
| | 87
| | 87
|1110.638
|1110.638
| | 243/128
| | 243/128
| colspan="3" | 40/21
| colspan="4" | 40/21
| colspan="2" |19/10
|-
|-
| | 88
| | 88
Line 506: Line 540:
| | 625/324
| | 625/324
| | 245/128
| | 245/128
| colspan="2" | 21/11
| colspan="5" | 21/11
|-
|-
| | 89
| | 89
|1136.170
|1136.170
| | 48/25
| | 48/25
| colspan="3" | 27/14
| colspan="6" | 27/14
|-
|-
| | 90
| | 90
Line 517: Line 551:
| | 125/64
| | 125/64
| colspan="3" | 35/18
| colspan="3" | 35/18
| colspan="3" |33/17
|-
|-
| | 91
| | 91
Line 523: Line 558:
| | 96/49
| | 96/49
| | 55/28
| | 55/28
| | 39/20
| colspan="4"| 39/20
|-
|-
| | 92
| | 92
|1174.468
|1174.468
| | 160/81
| | 160/81
| colspan="3" | 49/25
| colspan="6" | 49/25
|-
|-
| | 93
| | 93
Line 534: Line 569:
| | 6144/3125
| | 6144/3125
| | 486/245
| | 486/245
| colspan="2" | 99/50
| colspan="4" | 99/50
|91/46
|-
|-
| | 94
| | 94
|1200.000
|1200.000
| colspan="4" | 2/1
| colspan="7" | 2/1
|}
|}
[[Category:11-limit]]
[[Category:11-limit]]

Revision as of 12:52, 12 May 2020

Assuming 23-limit patent val <94 149 218 264 325 348 384 399 425|.

Step Cents 5 limit 7 limit 11 limit 13 limit 17 limit 19 limit 23 limit
1 12.766 3125/3072 245/243 99/98 85/84
2 25.532 81/80 50/49
3 38.298 250/243 49/48 45/44 40/39
4 51.064 128/125 36/35 33/32
5 63.830 25/24
6 76.596 648/625 256/245 22/21
7 89.362 135/128 21/20 19/18
8 102.128 3125/2916 343/324 35/33 17/16
9 114.894 16/15 15/14
10 127.660 625/576 175/162 121/112 14/13
11 140.426 27/25 13/12
12 153.191 800/729 35/32 12/11
13 165.957 2048/1875 54/49 11/10
14 178.723 10/9
15 191.489 3456/3125 384/343 49/44 39/35 19/17
16 204.255 9/8
17 217.021 2500/2187 25/22 17/15
18 229.787 256/225 8/7
19 242.553 125/108 125/108 63/55 15/13
20 255.319 144/125 81/70 52/45 51/44 22/19
21 268.085 75/64 7/6
22 280.851 729/625 288/245 33/28 20/17
23 293.617 32/27 25/21 13/11
24 306.383 3125/2592 343/288 105/88 81/68 68/57 55/46
25 319.149 6/5
26 331.915 625/512 98/81 40/33 17/14
27 344.681 243/200 60/49 11/9
28 357.447 100/81 49/40 27/22 16/13
29 370.213 768/625 216/175 99/80 26/21 21/17
30 382.979 5/4
31 395.745 3888/3125 432/343 44/35 34/27
32 408.511 81/64 63/50 33/26 19/15
33 421.277 625/486 245/192 14/11
34 434.043 32/25 9/7
35 446.809 125/96 35/27 22/17
36 459.574 162/125 64/49 55/42 13/10
37 472.340 320/243 21/16
38 485.106 4096/3125 324/245 33/25
39 497.872 4/3
40 510.638 3125/2304 343/256 66/49 35/26
41 523.404 27/20 19/14
42 536.170 1000/729 49/36 15/11
43 548.936 512/375 48/35 11/8
44 561.702 25/18 25/18 18/13
45 574.468 864/625 243/175 88/63 39/28 32/23
46 587.234 45/32 7/5
47 600.000 3125/2187 343/243 99/70 17/12
48 612.766 64/45 10/7
49 625.532 625/432 343/240 63/44 56/39 23/16
50 638.298 36/25 36/25 13/9
51 651.064 375/256 35/24 16/11
52 663.830 729/500 72/49 22/15
53 676.596 40/27 28/19
54 689.362 4608/3125 512/343 49/33
55 702.128 3/2
56 714.894 3125/2048 245/162 50/33
57 727.660 243/160 32/21
58 740.426 125/81 49/32 20/13
59 753.191 192/125 54/35 17/11
60 765.957 25/16 14/9
61 778.723 972/625 384/245 11/7
62 791.489 128/81 63/40 52/33 19/12
63 804.255 3125/1944 343/216 35/22 27/17
64 817.021 8/5
65 829.787 625/384 175/108 121/75 21/13
66 842.553 81/50 80/49 44/27 13/8
67 855.319 400/243 49/30 18/11
68 868.085 1024/625 81/49 33/20 28/17
69 880.851 5/3
70 893.617 5184/3125 576/343 121/72 117/70 57/34
71 906.383 27/16 22/13
72 919.149 1250/729 245/144 56/33 56/33 17/10
73 931.915 128/75 12/7
74 944.681 125/72 121/70 45/26 19/11
75 957.447 216/125 216/125 110/63 26/15
76 970.213 225/128 7/4
77 982.979 2187/1250 432/245 44/25 30/17 23/13
78 995.745 16/9
79 1008.511 3125/1728 343/192 88/49 34/19
80 1021.277 9/5
81 1034.043 1875/1024 49/27 20/11
82 1046.809 729/400 64/35 11/6
83 1059.574 50/27 24/13
84 1072.340 1152/625 324/175 224/121 13/7
85 1085.106 15/8
86 1097.872 5832/3125 648/343 66/35 49/26 17/9
87 1110.638 243/128 40/21 19/10
88 1123.404 625/324 245/128 21/11
89 1136.170 48/25 27/14
90 1148.936 125/64 35/18 33/17
91 1161.702 243/125 96/49 55/28 39/20
92 1174.468 160/81 49/25
93 1187.234 6144/3125 486/245 99/50 91/46
94 1200.000 2/1
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