Table of 159edo Intervals: Difference between revisions

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intro with link to 159edo
Remove words on italics since there's no such instances. Remove "?" in 5-limit entries for degrees other than multiples of 3 since that's impossible
Line 1: Line 1:
This '''table of [[159edo]] intervals''' assumes 17-limit patent val <159 252 369 446 550 588 650|. Intervals highlighted in '''bold''' are prime harmonics or subharmonics, while other well-known intervals will likely have links to their respective pages. In addition, intervals that differ from the nearest step by more than 3.5 cents will be in ''italics'', while intervals that differ from assigned steps by a rate of 50% or more, multiples of such intervals, or else, intervals that have an odd limit higher than 1024, will not be included in the chart at all. Furthermore, when multiple well-known intervals for a given prime-limit share a step size, they may share a cell in the chart; conversely, a "?" in the chart means that no known interval meets the criteria for inclusion.
This '''table of [[159edo]] intervals''' assumes 17-limit patent val {{val|159 252 369 446 550 588 650}}.  
{| class="wikitable"
 
Intervals highlighted in '''bold''' are prime harmonics or subharmonics, while other well-known intervals will likely have links to their respective pages. In addition, intervals that differ from assigned steps by more than 50%, multiples of such intervals, and intervals of odd limit higher than 1024, are not shown. Furthermore, when multiple well-known intervals for a given prime-limit share a step size, they may share a cell in the chart; conversely, a "?" in the chart means that no known interval meets the criteria for inclusion. Note that no 5-limit intervals can be represented by degrees other than multiples of 3, so those entries are left blank.  
 
{| class="wikitable center-1"
|-
|-
!| Step
! Step
!| Cents
! Cents
!| 5 limit
! 5 limit
!| 7 limit
! 7 limit
!| 11 limit
! 11 limit
!| 13 limit
! 13 limit
!| 17 limit
! 17 limit
|-
|-
| 0
| 0
Line 16: Line 19:
| 1
| 1
| 7.5471698
| 7.5471698
| ?
|  
| [[225/224]]
| [[225/224]]
| [[243/242]]
| [[243/242]]
Line 24: Line 27:
| 2
| 2
| 15.0943396
| 15.0943396
| ?
|  
| ?
| ?
| [[121/120]], [[100/99]]
| [[121/120]], [[100/99]]
Line 40: Line 43:
| 4
| 4
| 30.1886792
| 30.1886792
| ?
|  
| [[64/63]]
| [[64/63]]
| [[56/55]], [[55/54]]
| [[56/55]], [[55/54]]
Line 48: Line 51:
| 5
| 5
| 37.7358491
| 37.7358491
| ?
|  
| ?
| ?
| [[45/44]]
| [[45/44]]
Line 64: Line 67:
| 7
| 7
| 52.8301887
| 52.8301887
| ?
|  
| ?
| ?
| [[33/32]]
| [[33/32]]
Line 72: Line 75:
| 8
| 8
| 60.3773585
| 60.3773585
| ?
|  
| [[28/27]]
| [[28/27]]
| ?
| ?
Line 88: Line 91:
| 10
| 10
| 75.4716981
| 75.4716981
| ?
|  
| ?
| ?
| ?
| ?
Line 96: Line 99:
| 11
| 11
| 83.0188679
| 83.0188679
| ?
|  
| [[21/20]]
| [[21/20]]
| [[22/21]]
| [[22/21]]
Line 112: Line 115:
| 13
| 13
| 98.1132075
| 98.1132075
| ?
|  
| ?
| ?
| [[128/121]]
| [[128/121]]
Line 120: Line 123:
| 14
| 14
| 105.6603774
| 105.6603774
| ?
|  
| ?
| ?
| ?
| ?
Line 136: Line 139:
| 16
| 16
| 120.7547170
| 120.7547170
| ?
|  
| [[15/14]]
| [[15/14]]
| 275/256
| 275/256
Line 144: Line 147:
| 17
| 17
| 128.3018868
| 128.3018868
| ?
|  
| ?
| ?
| ?
| ?
Line 160: Line 163:
| 19
| 19
| 143.3962264
| 143.3962264
| ?
|  
| ?
| ?
| [[88/81]]
| [[88/81]]
Line 168: Line 171:
| 20
| 20
| 150.9433962
| 150.9433962
| ?
|  
| ?
| ?
| [[12/11]]
| [[12/11]]
Line 184: Line 187:
| 22
| 22
| 166.0377358
| 166.0377358
| ?
|  
| ?
| ?
| [[11/10]]
| [[11/10]]
Line 192: Line 195:
| 23
| 23
| 173.5849057
| 173.5849057
| ?
|  
| 567/512
| 567/512
| 243/220
| 243/220
Line 208: Line 211:
| 25
| 25
| 188.6792458
| 188.6792458
| ?
|  
| ?
| ?
| ?
| ?
Line 216: Line 219:
| 26
| 26
| 196.2264151
| 196.2264151
| ?
|  
| [[28/25]]
| [[28/25]]
| ?
| ?
Line 232: Line 235:
| 28
| 28
| 211.3207547
| 211.3207547
| ?
|  
| ?
| ?
| ?
| ?
Line 240: Line 243:
| 29
| 29
| 218.8679245
| 218.8679245
| ?
|  
| ?
| ?
| ?
| ?
Line 256: Line 259:
| 31
| 31
| 233.9622642
| 233.9622642
| ?
|  
| '''[[8/7]]'''
| '''[[8/7]]'''
| [[55/48]]
| [[55/48]]
Line 264: Line 267:
| 32
| 32
| 241.5094340
| 241.5094340
| ?
|  
| ?
| ?
| 1024/891
| 1024/891
Line 280: Line 283:
| 34
| 34
| 256.6037736
| 256.6037736
| ?
|  
| ?
| ?
| 297/256
| 297/256
Line 288: Line 291:
| 35
| 35
| 264.1509434
| 264.1509434
| ?
|  
| [[7/6]]
| [[7/6]]
| [[64/55]]
| [[64/55]]
Line 304: Line 307:
| 37
| 37
| 279.2452830
| 279.2452830
| ?
|  
| ?
| ?
| ?
| ?
Line 312: Line 315:
| 38
| 38
| 286.7924528
| 286.7924528
| ?
|  
| ?
| ?
| [[33/28]]
| [[33/28]]
Line 328: Line 331:
| 40
| 40
| 301.8867925
| 301.8867925
| ?
|  
| [[25/21]]
| [[25/21]]
| ?
| ?
Line 336: Line 339:
| 41
| 41
| 309.4339622
| 309.4339622
| ?
|  
| ?
| ?
| ?
| ?
Line 352: Line 355:
| 43
| 43
| 324.5283019
| 324.5283019
| ?
|  
| ?
| ?
| ?
| ?
Line 360: Line 363:
| 44
| 44
| 332.0754717
| 332.0754717
| ?
|  
| ?
| ?
| ?
| ?
Line 376: Line 379:
| 46
| 46
| 347.1698113
| 347.1698113
| ?
|  
| ?  
| ?  
| [[11/9]]
| [[11/9]]
Line 384: Line 387:
| 47
| 47
| 354.7169811
| 354.7169811
| ?
|  
| ?
| ?
| [[27/22]]
| [[27/22]]
Line 400: Line 403:
| 49
| 49
| 369.8113208
| 369.8113208
| ?
|  
| ?
| ?
| ?
| ?
Line 408: Line 411:
| 50
| 50
| 377.3584906
| 377.3584906
| ?
|  
| ?
| ?
| 1024/825
| 1024/825
Line 424: Line 427:
| 52
| 52
| 392.4528302
| 392.4528302
| ?
|  
| ?
| ?
| ?
| ?
Line 432: Line 435:
| 53
| 53
| 400
| 400
| ?
|  
| [[63/50]]
| [[63/50]]
| ?
| ?
Line 448: Line 451:
| 55
| 55
| 415.0943396
| 415.0943396
| ?
|  
| ?
| ?
| [[14/11]]
| [[14/11]]
Line 456: Line 459:
| 56
| 56
| 422.6415094
| 422.6415094
| ?
|  
| ?
| ?
| ?
| ?
Line 472: Line 475:
| 58
| 58
| 437.7358491
| 437.7358491
| ?
|  
| [[9/7]]
| [[9/7]]
| [[165/128]]
| [[165/128]]
Line 480: Line 483:
| 59
| 59
| 445.2830189
| 445.2830189
| ?
|  
| ?
| ?
| [[128/99]]
| [[128/99]]
Line 496: Line 499:
| 61
| 61
| 460.3773585
| 460.3773585
| ?
|  
| ?
| ?
| 176/135
| 176/135
Line 504: Line 507:
| 62
| 62
| 467.9245283
| 467.9245283
| ?
|  
| [[21/16]]
| [[21/16]]
| ?
| ?
Line 520: Line 523:
| 64
| 64
| 483.0188679
| 483.0188679
| ?
|  
| ?
| ?
| [[33/25]]
| [[33/25]]
Line 528: Line 531:
| 65
| 65
| 490.5660377
| 490.5660377
| ?
|  
| ?
| ?
| ?
| ?
Line 544: Line 547:
| 67
| 67
| 505.6603774
| 505.6603774
| ?
|  
| [[75/56]]
| [[75/56]]
| ?
| ?
Line 552: Line 555:
| 68
| 68
| 513.2075472
| 513.2075472
| ?
|  
| ?
| ?
| [[121/90]]
| [[121/90]]
Line 568: Line 571:
| 70
| 70
| 528.3018868
| 528.3018868
| ?
|  
| ?
| ?
| [[110/81]]
| [[110/81]]
Line 576: Line 579:
| 71
| 71
| 535.8490566
| 535.8490566
| ?
|  
| ?
| ?
| [[15/11]]
| [[15/11]]
Line 592: Line 595:
| 73
| 73
| 550.9433962
| 550.9433962
| ?
|  
| ?
| ?
| '''[[11/8]]'''
| '''[[11/8]]'''
Line 600: Line 603:
| 74
| 74
| 558.4905660
| 558.4905660
| ?
|  
| [[112/81]]
| [[112/81]]
| ?
| ?
Line 616: Line 619:
| 76
| 76
| 573.5849057
| 573.5849057
| ?
|  
| ?
| ?
| ?
| ?
Line 624: Line 627:
| 77
| 77
| 581.1320755
| 581.1320755
| ?
|  
| [[7/5]]
| [[7/5]]
| ?
| ?
Line 640: Line 643:
| 79
| 79
| 596.2264151
| 596.2264151
| ?
|  
| ?
| ?
| ?
| ?
Line 648: Line 651:
| 80
| 80
| 603.7735849
| 603.7735849
| ?
|  
| ?
| ?
| ?
| ?
Line 664: Line 667:
| 82
| 82
| 618.8679245
| 618.8679245
| ?
|  
| [[10/7]]
| [[10/7]]
| ?
| ?
Line 672: Line 675:
| 83
| 83
| 626.4150943
| 626.4150943
| ?
|  
| ?
| ?
| ?
| ?
Line 688: Line 691:
| 85
| 85
| 641.5094340
| 641.5094340
| ?
|  
| [[81/56]]
| [[81/56]]
| ?
| ?
Line 696: Line 699:
| 86
| 86
| 649.0566038
| 649.0566038
| ?
|  
| ?
| ?
| '''[[16/11]]'''
| '''[[16/11]]'''
Line 712: Line 715:
| 88
| 88
| 664.1509434
| 664.1509434
| ?
|  
| ?
| ?
| [[22/15]]
| [[22/15]]
Line 720: Line 723:
| 89
| 89
| 671.6981132
| 671.6981132
| ?
|  
| ?
| ?
| [[81/55]]
| [[81/55]]
Line 736: Line 739:
| 91
| 91
| 686.7924528
| 686.7924528
| ?
|  
| ?
| ?
| [[180/121]]
| [[180/121]]
Line 744: Line 747:
| 92
| 92
| 694.3396226
| 694.3396226
| ?
|  
| [[112/75]]
| [[112/75]]
| ?
| ?
Line 760: Line 763:
| 94
| 94
| 709.4339622
| 709.4339622
| ?
|  
| ?
| ?
| ?
| ?
Line 768: Line 771:
| 95
| 95
| 716.9811321
| 716.9811321
| ?
|  
| ?
| ?
| [[50/33]]
| [[50/33]]
Line 784: Line 787:
| 97
| 97
| 732.0754717
| 732.0754717
| ?
|  
| [[32/21]]
| [[32/21]]
| ?
| ?
Line 792: Line 795:
| 98
| 98
| 739.6226415
| 739.6226415
| ?
|  
| ?
| ?
| 135/88
| 135/88
Line 808: Line 811:
| 100
| 100
| 754.7169811
| 754.7169811
| ?
|  
| ?
| ?
| [[99/64]]
| [[99/64]]
Line 816: Line 819:
| 101
| 101
| 762.2641509
| 762.2641509
| ?
|  
| [[14/9]]
| [[14/9]]
| [[256/165]]
| [[256/165]]
Line 832: Line 835:
| 103
| 103
| 777.3584906
| 777.3584906
| ?
|  
| ?
| ?
| ?
| ?
Line 840: Line 843:
| 104
| 104
| 784.9056604
| 784.9056604
| ?
|  
| ?
| ?
| [[11/7]]
| [[11/7]]
Line 856: Line 859:
| 106
| 106
| 800
| 800
| ?
|  
| [[100/63]]
| [[100/63]]
| ?
| ?
Line 864: Line 867:
| 107
| 107
| 807.5471698
| 807.5471698
| ?
|  
| ?
| ?
| ?
| ?
Line 880: Line 883:
| 109
| 109
| 822.6415094
| 822.6415094
| ?
|  
| ?
| ?
| 825/512
| 825/512
Line 888: Line 891:
| 110
| 110
| 830.1886792
| 830.1886792
| ?
|  
| ?
| ?
| ?
| ?
Line 904: Line 907:
| 112
| 112
| 845.2830189
| 845.2830189
| ?
|  
| ?
| ?
| [[44/27]]
| [[44/27]]
Line 912: Line 915:
| 113
| 113
| 852.8301887
| 852.8301887
|
| ?
| ?
| ?
| [[18/11]]
| [[18/11]]
| ?
| ?
| ?  
| ?
|-
|-
| 114
| 114
Line 928: Line 931:
| 115
| 115
| 867.9245283
| 867.9245283
| ?
|  
| ?
| ?
| ?
| ?
Line 936: Line 939:
| 116
| 116
| 875.4716981
| 875.4716981
| ?
|  
| ?
| ?
| ?
| ?
Line 952: Line 955:
| 118
| 118
| 890.5660377
| 890.5660377
| ?
|  
| ?
| ?
| ?
| ?
Line 960: Line 963:
| 119
| 119
| 898.1132075
| 898.1132075
| ?
|  
| [[42/25]]
| [[42/25]]
| ?
| ?
Line 976: Line 979:
| 121
| 121
| 913.2075472
| 913.2075472
| ?
|  
| ?
| ?
| [[56/33]]
| [[56/33]]
Line 984: Line 987:
| 122
| 122
| 920.7547170
| 920.7547170
| ?
|  
| ?
| ?
| ?
| ?
Line 1,000: Line 1,003:
| 124
| 124
| 935.8490566
| 935.8490566
| ?
|  
| [[12/7]]
| [[12/7]]
| [[55/32]]
| [[55/32]]
Line 1,008: Line 1,011:
| 125
| 125
| 943.3962264
| 943.3962264
| ?
|  
| ?
| ?
| 512/297
| 512/297
Line 1,024: Line 1,027:
| 127
| 127
| 958.4905660
| 958.4905660
| ?
|  
| ?
| ?
| 891/512
| 891/512
Line 1,032: Line 1,035:
| 128
| 128
| 966.0377358
| 966.0377358
| ?
|  
| '''[[7/4]]'''
| '''[[7/4]]'''
| [[96/55]]
| [[96/55]]
Line 1,048: Line 1,051:
| 130
| 130
| 981.1320755
| 981.1320755
| ?
|  
| ?
| ?
| ?
| ?
Line 1,056: Line 1,059:
| 131
| 131
| 988.6792458
| 988.6792458
| ?
|  
| ?
| ?
| ?
| ?
Line 1,072: Line 1,075:
| 133
| 133
| 1003.7735849
| 1003.7735849
| ?
|  
| [[25/14]]
| [[25/14]]
| ?
| ?
Line 1,080: Line 1,083:
| 134
| 134
| 1011.3207547
| 1011.3207547
| ?
|  
| ?
| ?
| ?
| ?
Line 1,096: Line 1,099:
| 136
| 136
| 1026.4150943
| 1026.4150943
| ?
|  
| 1024/567
| 1024/567
| 440/243
| 440/243
Line 1,104: Line 1,107:
| 137
| 137
| 1033.9622642
| 1033.9622642
| ?
|  
| ?
| ?
| [[20/11]]
| [[20/11]]
Line 1,120: Line 1,123:
| 139
| 139
| 1049.0566038
| 1049.0566038
| ?
|  
| ?
| ?
| [[11/6]]
| [[11/6]]
Line 1,128: Line 1,131:
| 140
| 140
| 1056.6037736
| 1056.6037736
| ?
|  
| ?
| ?
| [[81/44]]
| [[81/44]]
Line 1,144: Line 1,147:
| 142
| 142
| 1071.6981132
| 1071.6981132
| ?
|  
| ?
| ?
| ?
| ?
Line 1,152: Line 1,155:
| 143
| 143
| 1079.2452830
| 1079.2452830
| ?
|  
| [[28/15]]
| [[28/15]]
| 512/275
| 512/275
Line 1,168: Line 1,171:
| 145
| 145
| 1094.3396226
| 1094.3396226
| ?
|  
| ?
| ?
| ?
| ?
Line 1,176: Line 1,179:
| 146
| 146
| 1101.8867925
| 1101.8867925
| ?
|  
| ?
| ?
| [[121/64]]
| [[121/64]]
Line 1,192: Line 1,195:
| 148
| 148
| 1116.9811321
| 1116.9811321
| ?
|  
| [[40/21]]
| [[40/21]]
| [[21/11]]
| [[21/11]]
Line 1,200: Line 1,203:
| 149
| 149
| 1124.5283019
| 1124.5283019
| ?
|  
| ?
| ?
| ?
| ?
Line 1,216: Line 1,219:
| 151
| 151
| 1139.6226415
| 1139.6226415
| ?
|  
| [[27/14]]
| [[27/14]]
| ?
| ?
Line 1,224: Line 1,227:
| 152
| 152
| 1147.1698113
| 1147.1698113
| ?
|  
| ?
| ?
| [[64/33]]
| [[64/33]]
Line 1,240: Line 1,243:
| 154
| 154
| 1162.2641509
| 1162.2641509
| ?
|  
| ?
| ?
| [[88/45]]
| [[88/45]]
Line 1,248: Line 1,251:
| 155
| 155
| 1169.8113208
| 1169.8113208
| ?
|  
| [[63/32]]
| [[63/32]]
| [[55/28]], [[108/55]]
| [[55/28]], [[108/55]]
Line 1,264: Line 1,267:
| 157
| 157
| 1184.9056604
| 1184.9056604
| ?
|  
| ?
| ?
| [[240/121]], [[99/50]]
| [[240/121]], [[99/50]]
Line 1,272: Line 1,275:
| 158
| 158
| 1192.4528302
| 1192.4528302
| ?
|  
| [[448/225]]
| [[448/225]]
| [[484/243]]
| [[484/243]]

Revision as of 11:25, 28 October 2020

This table of 159edo intervals assumes 17-limit patent val ⟨159 252 369 446 550 588 650].

Intervals highlighted in bold are prime harmonics or subharmonics, while other well-known intervals will likely have links to their respective pages. In addition, intervals that differ from assigned steps by more than 50%, multiples of such intervals, and intervals of odd limit higher than 1024, are not shown. Furthermore, when multiple well-known intervals for a given prime-limit share a step size, they may share a cell in the chart; conversely, a "?" in the chart means that no known interval meets the criteria for inclusion. Note that no 5-limit intervals can be represented by degrees other than multiples of 3, so those entries are left blank.

Step Cents 5 limit 7 limit 11 limit 13 limit 17 limit
0 0 1/1
1 7.5471698 225/224 243/242 351/350 256/255
2 15.0943396 ? 121/120, 100/99 144/143 120/119
3 22.6415094 81/80 ? ? 78/77 85/84
4 30.1886792 64/63 56/55, 55/54 ? 52/51
5 37.7358491 ? 45/44 ? 51/50
6 45.2830189 ? ? ? 40/39 192/187
7 52.8301887 ? 33/32 ? 34/33
8 60.3773585 28/27 ? ? 88/85
9 67.9245283 25/24 ? ? 26/25, 27/26 ?
10 75.4716981 ? ? ? 160/153
11 83.0188679 21/20 22/21 ? ?
12 90.5660377 256/243, 135/128 ? ? ? ?
13 98.1132075 ? 128/121 ? 18/17
14 105.6603774 ? ? ? 17/16
15 113.2075472 16/15 ? ? ? ?
16 120.7547170 15/14 275/256 ? ?
17 128.3018868 ? ? 14/13 128/119
18 135.8490566 27/25 ? ? 13/12 ?
19 143.3962264 ? 88/81 ? ?
20 150.9433962 ? 12/11 ? ?
21 158.4905660 ? ? ? 128/117 561/512, 1024/935
22 166.0377358 ? 11/10 ? ?
23 173.5849057 567/512 243/220 ? 425/384
24 181.1320755 10/9 ? 256/231 ? ?
25 188.6792458 ? ? 143/128 512/459
26 196.2264151 28/25 ? ? ?
27 203.7735849 9/8 ? ? ? ?
28 211.3207547 ? ? ? 289/256
29 218.8679245 ? ? ? 17/15
30 226.4150943 256/225 ? ? ? ?
31 233.9622642 8/7 55/48 ? ?
32 241.5094340 ? 1024/891 ? ?
33 249.0566038 ? ? ? 15/13 ?
34 256.6037736 ? 297/256 ? ?
35 264.1509434 7/6 64/55 ? ?
36 271.6981132 75/64 ? ? ? ?
37 279.2452830 ? ? ? 20/17
38 286.7924528 ? 33/28 13/11 85/72
39 294.3396226 32/27 ? ? ? ?
40 301.8867925 25/21 ? ? ?
41 309.4339622 ? ? 512/429 153/128
42 316.9811321 6/5 ? 77/64 ? ?
43 324.5283019 ? ? ? 512/425
44 332.0754717 ? ? ? 144/119, 165/136
45 339.6226415 ? ? ? 39/32 ?
46 347.1698113 ? 11/9 ? ?
47 354.7169811 ? 27/22 ? ?
48 362.2641509 ? ? ? 16/13 ?
49 369.8113208 ? ? ? 68/55
50 377.3584906 ? 1024/825 ? ?
51 384.9056604 5/4 ? 96/77 ? ?
52 392.4528302 ? ? ? 64/51
53 400 63/50 ? ? ?
54 407.5471698 81/64 ? ? ? ?
55 415.0943396 ? 14/11 33/26 108/85
56 422.6415094 ? ? ? 51/40
57 430.1886792 32/25 ? ? ? ?
58 437.7358491 9/7 165/128 ? ?
59 445.2830189 ? 128/99 ? ?
60 452.8301887 ? ? ? 13/10 ?
61 460.3773585 ? 176/135 ? ?
62 467.9245283 21/16 ? ? ?
63 475.4716981 320/243, 675/512 ? ? ? ?
64 483.0188679 ? 33/25 ? 45/34
65 490.5660377 ? ? ? 85/64
66 498.1132075 4/3 ? ? ? ?
67 505.6603774 75/56 ? ? ?
68 513.2075472 ? 121/90 ? ?
69 520.7547170 27/20 ? ? ? ?
70 528.3018868 ? 110/81 ? ?
71 535.8490566 ? 15/11 ? ?
72 543.3962264 ? ? ? ? 256/187
73 550.9433962 ? 11/8 ? ?
74 558.4905660 112/81 ? ? ?
75 566.0377358 25/18 ? ? ? ?
76 573.5849057 ? ? ? 357/256
77 581.1320755 7/5 ? ? ?
78 588.6792458 1024/729, 45/32 ? ? ? ?
79 596.2264151 ? ? ? 24/17
80 603.7735849 ? ? ? 17/12
81 611.3207547 729/512, 64/45 ? ? ? ?
82 618.8679245 10/7 ? ? ?
83 626.4150943 ? ? ? 512/357
84 633.9622642 36/25 ? ? ? ?
85 641.5094340 81/56 ? ? ?
86 649.0566038 ? 16/11 ? ?
87 656.6037736 ? ? ? ? 187/128
88 664.1509434 ? 22/15 ? ?
89 671.6981132 ? 81/55 ? ?
90 679.2452830 40/27 ? ? ? ?
91 686.7924528 ? 180/121 ? ?
92 694.3396226 112/75 ? ? ?
93 701.8867925 3/2 ? ? ? ?
94 709.4339622 ? ? ? 128/85
95 716.9811321 ? 50/33 ? 68/45
96 724.5283019 243/160, 1024/675 ? ? ? ?
97 732.0754717 32/21 ? ? ?
98 739.6226415 ? 135/88 ? ?
99 747.1698113 ? ? ? 20/13 ?
100 754.7169811 ? 99/64 ? ?
101 762.2641509 14/9 256/165 ? ?
102 769.8113208 25/16 ? ? ? ?
103 777.3584906 ? ? ? 80/51
104 784.9056604 ? 11/7 52/33 85/54
105 792.4528302 128/81 ? ? ? ?
106 800 100/63 ? ? ?
107 807.5471698 ? ? ? 51/32
108 815.0943396 8/5 ? 77/48 ? ?
109 822.6415094 ? 825/512 ? ?
110 830.1886792 ? ? ? 55/34
111 837.7358491 ? ? ? 13/8 ?
112 845.2830189 ? 44/27 ? ?
113 852.8301887 ? 18/11 ? ?
114 860.3773585 ? ? ? 64/39 ?
115 867.9245283 ? ? ? 119/72, 272/165
116 875.4716981 ? ? ? 425/256
117 883.0188679 5/3 ? 128/77 ? ?
118 890.5660377 ? ? 429/256 256/153
119 898.1132075 42/25 ? ? ?
120 905.6603774 27/16 ? ? ? ?
121 913.2075472 ? 56/33 22/13 144/85
122 920.7547170 ? ? ? 17/10
123 928.3018868 128/75 ? ? ? ?
124 935.8490566 12/7 55/32 ? ?
125 943.3962264 ? 512/297 ? ?
126 950.9433962 ? ? ? 26/15 ?
127 958.4905660 ? 891/512 ? ?
128 966.0377358 7/4 96/55 ? ?
129 973.5849057 225/128 ? ? ? ?
130 981.1320755 ? ? ? 30/17
131 988.6792458 ? ? ? 512/289
132 996.2264151 16/9 ? ? ? ?
133 1003.7735849 25/14 ? ? ?
134 1011.3207547 ? ? 256/143 459/256
135 1018.8679245 9/5 ? 231/128 ? ?
136 1026.4150943 1024/567 440/243 ? 768/425
137 1033.9622642 ? 20/11 ? ?
138 1041.5094340 ? ? ? 117/64 1024/561, 935/512
139 1049.0566038 ? 11/6 ? ?
140 1056.6037736 ? 81/44 ? ?
141 1064.1509434 50/27 ? ? 24/13 ?
142 1071.6981132 ? ? 13/7 119/64
143 1079.2452830 28/15 512/275 ? ?
144 1086.7924528 15/8 ? ? ? ?
145 1094.3396226 ? ? ? 32/17
146 1101.8867925 ? 121/64 ? 17/9
147 1109.4339622 243/128, 256/135 ? ? ? ?
148 1116.9811321 40/21 21/11 ? ?
149 1124.5283019 ? ? ? 153/80
150 1132.0754717 48/25 ? ? 25/13, 52/27 ?
151 1139.6226415 27/14 ? ? 85/44
152 1147.1698113 ? 64/33 ? 33/17
153 1154.7169811 ? ? ? 39/20 187/96
154 1162.2641509 ? 88/45 ? 100/51
155 1169.8113208 63/32 55/28, 108/55 ? 51/26
156 1177.3584906 160/81 ? ? 77/39 168/85
157 1184.9056604 ? 240/121, 99/50 143/72 119/60
158 1192.4528302 448/225 484/243 700/351 255/128
159 1200 2/1
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