Table of 171edo intervals: Difference between revisions

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counterpart to Table of 270edo intervals; somebody should do this
 
Overthink (talk | contribs)
replaced main with breadcrumb
 
(30 intermediate revisions by 11 users not shown)
Line 1: Line 1:
{| class="wikitable"
{{Breadcrumb|171edo}}
This is a table of all intervals of [[171edo]].
 
<onlyinclude>{| class="wikitable center-all right-1 right-2"
|-
|-
| | Step
! &#35;
| | Five limit
! Cents
| | Seven limit
! 5-limit
| | Eleven limit
! 7-limit
| | Thirteen limit
! 11-limit
! 13-limit
|-
|-
| | 1
| 1
| | 15625/15552
| 7.0175
| | 225/224
| [[15625/15552]]
| | 225/224
| [[225/224]]
| | 225/224
| [[225/224]]
|}
| [[144/143]]
|-
| 2
| 14.0351
| [[78732/78125]]
| [[126/125]]
| [[100/99]]
| [[100/99]]
|-
| 3
| 21.0526
| [[81/80]]
| [[81/80]]
| [[81/80]]
| [[78/77]]
|-
| 4
| 28.0702
| [[3125/3072]]
| [[64/63]]
| [[56/55]]
| [[56/55]]
|-
| 5
| 35.0877
| ?
| [[49/48]]
| [[45/44]]
| [[45/44]]
|-
| 6
| 42.1053
| [[128/125]]
| [[128/125]]
| [[128/125]]
| [[40/39]]
|-
| 7
| 49.1228
| [[250/243]]
| [[36/35]]
| [[36/35]]
| [[36/35]]
|-
| 8
| 56.1404
| ?
| [[405/392]]
| [[33/32]]
| [[33/32]]
|-
| 9
| 63.1579
| [[648/625]]
| [[28/27]]
| [[28/27]]
| [[27/26]]
|-
| 10
| 70.1754
| [[25/24]]
| [[25/24]]
| [[25/24]]
| [[25/24]]
|-
| 11
| 77.1930
| ?
| [[256/245]]
| [[256/245]]
| [[117/112]]
|-
| 12
| 84.2105
| [[6561/6250]]
| [[21/20]]
| [[21/20]]
| [[21/20]]
|-
| 13
| 91.2281
| [[135/128]]
| [[135/128]]
| [[128/121]]
| [[96/91]]
|-
| 14
| 98.2456
| [[62500/59049]]
| [[200/189]]
| [[35/33]]
| [[35/33]]
|-
| 15
| 105.2632
| [[82944/78125]]
| [[625/588]]
| [[297/280]]
| [[52/49]]
|-
| 16
| 112.2807
| [[16/15]]
| [[16/15]]
| [[16/15]]
| [[16/15]]
|-
| 17
| 119.2982
| [[3125/2916]]
| [[15/14]]
| [[15/14]]
| [[15/14]]
|-
| 18
| 126.3158
| ?
| [[672/625]]
| [[275/256]]
| [[14/13]]
|-
| 19
| 133.3333
| [[27/25]]
| [[27/25]]
| [[27/25]]
| [[27/25]]
|-
| 20
| 140.3509
| [[625/576]]
| [[243/224]]
| [[121/112]]
| [[13/12]]
|-
| 21
| 147.3684
| ?
| [[49/45]]
| [[12/11]]
| [[12/11]]
|-
| 22
| 154.3860
| [[2048/1875]]
| [[35/32]]
| [[35/32]]
| [[35/32]]
|-
| 23
| 161.4035
| [[800/729]]
| [[192/175]]
| [[192/175]]
| [[100/91]]
|-
| 24
| 168.4211
| ?
| [[54/49]]
| [[11/10]]
| [[11/10]]
|-
| 25
| 175.4386
| [[3456/3125]]
| [[448/405]]
| [[256/231]]
| [[72/65]]
|-
| 26
| 182.4561
| [[10/9]]
| [[10/9]]
| [[10/9]]
| [[10/9]]
|-
| 27
| 189.4737
| [[78125/69984]]
| [[125/112]]
| [[125/112]]
| [[39/35]]
|-
| 28
| 196.4912
| [[17496/15625]]
| [[28/25]]
| [[28/25]]
| [[28/25]]
|-
| 29
| 203.5088
| [[9/8]]
| [[9/8]]
| [[9/8]]
| [[9/8]]
|-
| 30
| 210.5263
| [[15625/13824]]
| [[640/567]]
| [[112/99]]
| [[44/39]]
|-
| 31
| 217.5439
| ?
| [[245/216]]
| [[25/22]]
| [[25/22]]
|-
| 32
| 224.5614
| [[256/225]]
| [[256/225]]
| [[256/225]]
| [[91/80]]
|-
| 33
| 231.5789
| [[2500/2187]]
| [[8/7]]
| [[8/7]]
| [[8/7]]
|-
| 34
| 238.5965
| ?
| [[147/128]]
| [[55/48]]
| [[55/48]]
|-
| 35
| 245.6140
| [[144/125]]
| [[144/125]]
| [[140/121]]
| [[15/13]]
|-
| 36
| 252.6316
| [[125/108]]
| [[81/70]]
| [[81/70]]
| [[52/45]]
|-
| 37
| 259.6491
| ?
| [[512/441]]
| [[64/55]]
| [[64/55]]
|-
| 38
| 266.6667
| [[729/625]]
| [[7/6]]
| [[7/6]]
| [[7/6]]
|-
| 39
| 273.6842
| [[75/64]]
| [[75/64]]
| [[75/64]]
| [[75/64]]
|-
| 40
| 280.7018
| ?
| [[147/125]]
| [[88/75]]
| [[88/75]]
|-
| 41
| 287.7193
| [[18432/15625]]
| [[189/160]]
| [[33/28]]
| [[13/11]]
|-
| 42
| 294.7368
| [[32/27]]
| [[32/27]]
| [[32/27]]
| [[32/27]]
|-
| 43
| 301.7544
| [[15625/13122]]
| [[25/21]]
| [[25/21]]
| [[25/21]]
|-
| 44
| 308.7719
| [[93312/78125]]
| [[448/375]]
| [[448/375]]
| [[117/98]]
|-
| 45
| 315.7895
| [[6/5]]
| [[6/5]]
| [[6/5]]
| [[6/5]]
|-
| 46
| 322.8070
| [[3125/2592]]
| [[135/112]]
| [[77/64]]
| [[65/54]]
|-
| 47
| 329.8246
| ?
| [[98/81]]
| [[40/33]]
| [[40/33]]
|-
| 48
| 336.8421
| [[243/200]]
| [[175/144]]
| [[121/100]]
| [[91/75]]
|-
| 49
| 343.8596
| [[625/512]]
| [[128/105]]
| [[128/105]]
| [[39/32]]
|-
| 50
| 350.8772
| ?
| [[49/40]]
| [[11/9]]
| [[11/9]]
|-
| 51
| 357.8947
| [[768/625]]
| [[315/256]]
| [[275/224]]
| [[16/13]]
|-
| 52
| 364.9123
| [[100/81]]
| [[100/81]]
| [[100/81]]
| [[100/81]]
|-
| 53
| 371.9298
| ?
| [[243/196]]
| [[99/80]]
| [[26/21]]
|-
| 54
| 378.9474
| [[3888/3125]]
| [[56/45]]
| [[56/45]]
| [[56/45]]
|-
| 55
| 385.9649
| [[5/4]]
| [[5/4]]
| [[5/4]]
| [[5/4]]
|-
| 56
| 392.9825
| [[78125/62208]]
| [[784/625]]
| [[784/625]]
| [[49/39]]
|-
| 57
| 400.0000
| [[19683/15625]]
| [[63/50]]
| [[44/35]]
| [[44/35]]
|-
| 58
| 407.0175
| [[81/64]]
| [[81/64]]
| [[81/64]]
| [[81/64]]
|-
| 59
| 414.0351
| [[15625/12288]]
| [[80/63]]
| [[14/11]]
| [[14/11]]
|-
| 60
| 421.0526
| ?
| [[125/98]]
| [[125/98]]
| [[125/98]]
|-
| 61
| 428.0702
| [[32/25]]
| [[32/25]]
| [[32/25]]
| [[32/25]]
|-
| 62
| 435.0877
| [[625/486]]
| [[9/7]]
| [[9/7]]
| [[9/7]]
|-
| 63
| 442.1053
| ?
| [[1323/1024]]
| [[128/99]]
| [[84/65]]
|-
| 64
| 449.1228
| [[162/125]]
| [[35/27]]
| [[35/27]]
| [[35/27]]
|-
| 65
| 456.1404
| [[125/96]]
| [[125/96]]
| [[125/96]]
| [[13/10]]
|-
| 66
| 463.1579
| ?
| [[64/49]]
| [[64/49]]
| [[64/49]]
|-
| 67
| 470.1754
| [[4096/3125]]
| [[21/16]]
| [[21/16]]
| [[21/16]]
|-
| 68
| 477.1930
| [[320/243]]
| [[320/243]]
| [[160/121]]
| [[120/91]]
|-
| 69
| 484.2105
| [[78125/59049]]
| [[250/189]]
| [[33/25]]
| [[33/25]]
|-
| 70
| 491.2281
| [[20736/15625]]
| [[896/675]]
| [[297/224]]
| [[65/49]]
|-
| 71
| 498.2456
| [[4/3]]
| [[4/3]]
| [[4/3]]
| [[4/3]]
|-
| 72
| 505.2632
| [[15625/11664]]
| [[75/56]]
| [[75/56]]
| [[75/56]]
|-
| 73
| 512.2807
| ?
| [[168/125]]
| [[168/125]]
| [[35/26]]
|-
| 74
| 519.2982
| [[27/20]]
| [[27/20]]
| [[27/20]]
| [[27/20]]
|-
| 75
| 526.3158
| [[3125/2304]]
| [[256/189]]
| [[224/165]]
| [[65/48]]
|-
| 76
| 533.3333
| ?
| [[49/36]]
| [[15/11]]
| [[15/11]]
|-
| 77
| 540.3509
| [[512/375]]
| [[175/128]]
| [[175/128]]
| [[143/105]]
|-
| 78
| 547.3684
| [[1000/729]]
| [[48/35]]
| [[48/35]]
| [[48/35]]
|-
| 79
| 554.3860
| ?
| [[135/98]]
| [[11/8]]
| [[11/8]]
|-
| 80
| 561.4035
| [[864/625]]
| [[112/81]]
| [[112/81]]
| [[18/13]]
|-
| 81
| 568.4211
| [[25/18]]
| [[25/18]]
| [[25/18]]
| [[25/18]]
|-
| 82
| 575.4386
| ?
| [[625/448]]
| [[384/275]]
| [[39/28]]
|-
| 83
| 582.4561
| [[4374/3125]]
| [[7/5]]
| [[7/5]]
| [[7/5]]
|-
| 84
| 589.4737
| [[45/32]]
| [[45/32]]
| [[45/32]]
| [[45/32]]
|-
| 85
| 596.4912
| [[78125/55296]]
| [[343/243]]
| [[140/99]]
| [[55/39]]
|-
| 86
|603.5088
| ?
| [[486/343]]
| [[99/70]]
| [[78/55]]
|-
| 87
|610.5263
| [[64/45]]
| [[64/45]]
| [[64/45]]
| [[64/45]]
|-
| 88
|617.5439
| [[3125/2187]]
| [[10/7]]
| [[10/7]]
| [[10/7]]
|-
| 89
|624.5614
| ?
| [[735/512]]
| [[275/192]]
| [[56/39]]
|-
| 90
|631.5789
| [[36/25]]
| [[36/25]]
| [[36/25]]
| [[36/25]]
|-
| 91
|638.5965
| [[625/432]]
| [[81/56]]
| [[81/56]]
| [[13/9]]
|-
| 92
|645.6140
| ?
| [[196/135]]
| [[16/11]]
| [[16/11]]
|-
| 93
|652.6316
| [[729/500]]
| [[35/24]]
| [[35/24]]
| [[35/24]]
|-
| 94
|659.6491
| [[375/256]]
| [[256/175]]
| [[256/175]]
| [[117/80]]
|-
| 95
|666.6667
| ?
| [[72/49]]
| [[22/15]]
| [[22/15]]
|-
| 96
|673.6842
| [[4608/3125]]
| [[189/128]]
| [[165/112]]
| [[65/44]]
|-
| 97
|680.7018
| [[40/27]]
| [[40/27]]
| [[40/27]]
| [[40/27]]
|-
| 98
|687.7193
| [[78125/52488]]
| [[125/84]]
| [[125/84]]
| [[52/35]]
|-
| 99
|694.7368
| [[23328/15625]]
| [[112/75]]
| [[112/75]]
| [[112/75]]
|-
| 100
| 701.7544
| [[3/2]]
| [[3/2]]
| [[3/2]]
| [[3/2]]
|-
| 101
|708.7719
| [[15625/10368]]
| [[675/448]]
| [[385/256]]
| [[98/65]]
|-
| 102
|715.7895
| ?
| [[189/125]]
| [[50/33]]
| [[50/33]]
|-
| 103
|722.8070
| [[243/160]]
| [[243/160]]
| [[121/80]]
| [[91/60]]
|-
| 104
|729.8246
| [[3125/2048]]
| [[32/21]]
| [[32/21]]
| [[32/21]]
|-
| 105
|736.8421
| ?
| [[49/32]]
| [[49/32]]
| [[49/32]]
|-
| 106
|743.8596
| [[192/125]]
| [[192/125]]
| [[192/125]]
| [[20/13]]
|-
| 107
|750.8772
| [[125/81]]
| [[54/35]]
| [[54/35]]
| [[54/35]]
|-
| 108
|757.8947
| ?
| [[1215/784]]
| [[99/64]]
| [[65/42]]
|-
| 109
|764.9123
| [[972/625]]
| [[14/9]]
| [[14/9]]
| [[14/9]]
|-
| 110
|771.9298
| [[25/16]]
| [[25/16]]
| [[25/16]]
| [[25/16]]
|-
| 111
|778.9474
| ?
| [[196/125]]
| [[196/125]]
| [[169/108]]
|-
| 112
|785.9649
| [[19683/12500]]
| [[63/40]]
| [[11/7]]
| [[11/7]]
|-
| 113
|792.9825
| [[128/81]]
| [[128/81]]
| [[128/81]]
| [[128/81]]
|-
| 114
|800.0000
| [[31250/19683]]
| [[100/63]]
| [[35/22]]
| [[35/22]]
|-
| 115
|807.0175
| ?
| [[625/392]]
| [[625/392]]
| [[78/49]]
|-
| 116
|814.0351
| [[8/5]]
| [[8/5]]
| [[8/5]]
| [[8/5]]
|-
| 117
|821.0526
| [[3125/1944]]
| [[45/28]]
| [[45/28]]
| [[45/28]]
|-
| 118
|828.0702
| ?
| [[392/243]]
| [[160/99]]
| [[21/13]]
|-
| 119
|835.0877
| [[81/50]]
| [[81/50]]
| [[81/50]]
| [[81/50]]
|-
| 120
|842.1053
| [[625/384]]
| [[512/315]]
| [[363/224]]
| [[13/8]]
|-
| 121
|849.1228
| ?
| [[49/30]]
| [[18/11]]
| [[18/11]]
|-
| 122
|856.1404
| [[1024/625]]
| [[105/64]]
| [[105/64]]
| [[64/39]]
|-
| 123
|863.1579
| [[400/243]]
| [[288/175]]
| [[200/121]]
| [[150/91]]
|-
| 124
|870.1754
| ?
| [[81/49]]
| [[33/20]]
| [[33/20]]
|-
| 125
|877.1930
| [[5184/3125]]
| [[224/135]]
| [[128/77]]
| [[108/65]]
|-
| 126
|884.2105
| [[5/3]]
| [[5/3]]
| [[5/3]]
| [[5/3]]
|-
| 127
|891.2281
| [[78125/46656]]
| [[375/224]]
| [[375/224]]
| [[117/70]]
|-
| 128
|898.2456
| [[26244/15625]]
| [[42/25]]
| [[42/25]]
| [[42/25]]
|-
| 129
|905.2632
| [[27/16]]
| [[27/16]]
| [[27/16]]
| [[27/16]]
|-
| 130
|912.2807
| [[15625/9216]]
| [[320/189]]
| [[56/33]]
| [[22/13]]
|-
| 131
|919.2982
| ?
| [[245/144]]
| [[75/44]]
| [[75/44]]
|-
| 132
|926.3158
| [[128/75]]
| [[128/75]]
| [[128/75]]
| [[128/75]]
|-
| 133
|933.3333
| [[1250/729]]
| [[12/7]]
| [[12/7]]
| [[12/7]]
|-
| 134
|940.3509
| ?
| [[441/256]]
| [[55/32]]
| [[55/32]]
|-
| 135
|947.3684
| [[216/125]]
| [[140/81]]
| [[140/81]]
| [[45/26]]
|-
| 136
|954.3860
| [[125/72]]
| [[125/72]]
| [[121/70]]
| [[26/15]]
|-
| 137
|961.4035
| ?
| [[256/147]]
| [[96/55]]
| [[96/55]]
|-
| 138
|968.4211
| [[2187/1250]]
| [[7/4]]
| [[7/4]]
| [[7/4]]
|-
| 139
|975.4386
| [[225/128]]
| [[225/128]]
| [[225/128]]
| [[160/91]]
|-
| 140
|982.4561
| ?
| [[432/245]]
| [[44/25]]
| [[44/25]]
|-
| 141
|989.4737
| [[27648/15625]]
| [[567/320]]
| [[99/56]]
| [[39/22]]
|-
| 142
|996.4912
| [[16/9]]
| [[16/9]]
| [[16/9]]
| [[16/9]]
|-
| 143
|1003.5088
| [[15625/8748]]
| [[25/14]]
| [[25/14]]
| [[25/14]]
|-
| 144
|1010.5263
| ?
| [[224/125]]
| [[224/125]]
| [[70/39]]
|-
| 145
|1017.5439
| [[9/5]]
| [[9/5]]
| [[9/5]]
| [[9/5]]
|-
| 146
|1024.5614
| [[3125/1728]]
| [[405/224]]
| [[231/128]]
| [[65/36]]
|-
| 147
|1031.5789
| ?
| [[49/27]]
| [[20/11]]
| [[20/11]]
|-
| 148
|1038.5965
| [[729/400]]
| [[175/96]]
| [[175/96]]
| [[91/50]]
|-
| 149
|1045.6140
| [[1875/1024]]
| [[64/35]]
| [[64/35]]
| [[64/35]]
|-
| 150
|1052.6316
| ?
| [[90/49]]
| [[11/6]]
| [[11/6]]
|-
| 151
|1059.6491
| [[1152/625]]
| [[448/243]]
| [[224/121]]
| [[24/13]]
|-
| 152
|1066.6667
| [[50/27]]
| [[50/27]]
| [[50/27]]
| [[50/27]]
|-
| 153
|1073.6842
| ?
| [[625/336]]
| [[297/160]]
| [[13/7]]
|-
| 154
|1080.7018
| [[5832/3125]]
| [[28/15]]
| [[28/15]]
| [[28/15]]
|-
| 155
|1087.7193
| [[15/8]]
| [[15/8]]
| [[15/8]]
| [[15/8]]
|-
| 156
|1094.7368
| [[78125/41472]]
| [[1176/625]]
| [[560/297]]
| [[49/26]]
|-
| 157
|1101.7544
| [[59049/31250]]
| [[189/100]]
| [[66/35]]
| [[66/35]]
|-
| 158
|1108.7719
| [[243/128]]
| [[243/128]]
| [[121/64]]
| [[91/48]]
|-
| 159
|1115.7895
| [[12500/6561]]
| [[40/21]]
| [[21/11]]
| [[21/11]]
|-
| 160
|1122.8070
| ?
| [[245/128]]
| [[245/128]]
| [[143/75]]
|-
| 161
|1129.8246
| [[48/25]]
| [[48/25]]
| [[48/25]]
| [[25/13]]
|-
| 162
|1136.8421
| [[625/324]]
| [[27/14]]
| [[27/14]]
| [[27/14]]
|-
| 163
|1143.8596
| ?
| [[784/405]]
| [[64/33]]
| [[64/33]]
|-
| 164
| 1150.8772
| [[243/125]]
| [[35/18]]
| [[35/18]]
| [[35/18]]
|-
| 165
| 1157.8947
| [[125/64]]
| [[125/64]]
| [[125/64]]
| [[39/20]]
|-
| 166
| 1164.9123
| ?
| [[49/25]]
| [[49/25]]
| [[49/25]]
|-
| 167
| 1171.9298
| [[6144/3125]]
| [[63/32]]
| [[55/28]]
| [[55/28]]
|-
| 168
| 1178.9474
| [[160/81]]
| [[160/81]]
| [[160/81]]
| [[77/39]]
|-
| 169
|1185.9649
| [[78125/39366]]
| [[125/63]]
| [[99/50]]
| [[99/50]]
|-
| 170
| 1192.9825
| [[31104/15625]]
| [[448/225]]
| [[448/225]]
| [[143/72]]
|-
| 171
| 1200.0000
| [[2/1]]
| [[2/1]]
| [[2/1]]
| [[2/1]]
|}</onlyinclude>
 
{{Todo|intro|complete table}}
 
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:13-limit]]
[[Category:13-limit]]
Line 18: Line 1,216:
[[Category:5-limit]]
[[Category:5-limit]]
[[Category:7-limit]]
[[Category:7-limit]]
[[Category:intervals]]
[[Category:Tables of edo intervals]]

Latest revision as of 05:26, 30 November 2025

This is a table of all intervals of 171edo.

# Cents 5-limit 7-limit 11-limit 13-limit
1 7.0175 15625/15552 225/224 225/224 144/143
2 14.0351 78732/78125 126/125 100/99 100/99
3 21.0526 81/80 81/80 81/80 78/77
4 28.0702 3125/3072 64/63 56/55 56/55
5 35.0877 ? 49/48 45/44 45/44
6 42.1053 128/125 128/125 128/125 40/39
7 49.1228 250/243 36/35 36/35 36/35
8 56.1404 ? 405/392 33/32 33/32
9 63.1579 648/625 28/27 28/27 27/26
10 70.1754 25/24 25/24 25/24 25/24
11 77.1930 ? 256/245 256/245 117/112
12 84.2105 6561/6250 21/20 21/20 21/20
13 91.2281 135/128 135/128 128/121 96/91
14 98.2456 62500/59049 200/189 35/33 35/33
15 105.2632 82944/78125 625/588 297/280 52/49
16 112.2807 16/15 16/15 16/15 16/15
17 119.2982 3125/2916 15/14 15/14 15/14
18 126.3158 ? 672/625 275/256 14/13
19 133.3333 27/25 27/25 27/25 27/25
20 140.3509 625/576 243/224 121/112 13/12
21 147.3684 ? 49/45 12/11 12/11
22 154.3860 2048/1875 35/32 35/32 35/32
23 161.4035 800/729 192/175 192/175 100/91
24 168.4211 ? 54/49 11/10 11/10
25 175.4386 3456/3125 448/405 256/231 72/65
26 182.4561 10/9 10/9 10/9 10/9
27 189.4737 78125/69984 125/112 125/112 39/35
28 196.4912 17496/15625 28/25 28/25 28/25
29 203.5088 9/8 9/8 9/8 9/8
30 210.5263 15625/13824 640/567 112/99 44/39
31 217.5439 ? 245/216 25/22 25/22
32 224.5614 256/225 256/225 256/225 91/80
33 231.5789 2500/2187 8/7 8/7 8/7
34 238.5965 ? 147/128 55/48 55/48
35 245.6140 144/125 144/125 140/121 15/13
36 252.6316 125/108 81/70 81/70 52/45
37 259.6491 ? 512/441 64/55 64/55
38 266.6667 729/625 7/6 7/6 7/6
39 273.6842 75/64 75/64 75/64 75/64
40 280.7018 ? 147/125 88/75 88/75
41 287.7193 18432/15625 189/160 33/28 13/11
42 294.7368 32/27 32/27 32/27 32/27
43 301.7544 15625/13122 25/21 25/21 25/21
44 308.7719 93312/78125 448/375 448/375 117/98
45 315.7895 6/5 6/5 6/5 6/5
46 322.8070 3125/2592 135/112 77/64 65/54
47 329.8246 ? 98/81 40/33 40/33
48 336.8421 243/200 175/144 121/100 91/75
49 343.8596 625/512 128/105 128/105 39/32
50 350.8772 ? 49/40 11/9 11/9
51 357.8947 768/625 315/256 275/224 16/13
52 364.9123 100/81 100/81 100/81 100/81
53 371.9298 ? 243/196 99/80 26/21
54 378.9474 3888/3125 56/45 56/45 56/45
55 385.9649 5/4 5/4 5/4 5/4
56 392.9825 78125/62208 784/625 784/625 49/39
57 400.0000 19683/15625 63/50 44/35 44/35
58 407.0175 81/64 81/64 81/64 81/64
59 414.0351 15625/12288 80/63 14/11 14/11
60 421.0526 ? 125/98 125/98 125/98
61 428.0702 32/25 32/25 32/25 32/25
62 435.0877 625/486 9/7 9/7 9/7
63 442.1053 ? 1323/1024 128/99 84/65
64 449.1228 162/125 35/27 35/27 35/27
65 456.1404 125/96 125/96 125/96 13/10
66 463.1579 ? 64/49 64/49 64/49
67 470.1754 4096/3125 21/16 21/16 21/16
68 477.1930 320/243 320/243 160/121 120/91
69 484.2105 78125/59049 250/189 33/25 33/25
70 491.2281 20736/15625 896/675 297/224 65/49
71 498.2456 4/3 4/3 4/3 4/3
72 505.2632 15625/11664 75/56 75/56 75/56
73 512.2807 ? 168/125 168/125 35/26
74 519.2982 27/20 27/20 27/20 27/20
75 526.3158 3125/2304 256/189 224/165 65/48
76 533.3333 ? 49/36 15/11 15/11
77 540.3509 512/375 175/128 175/128 143/105
78 547.3684 1000/729 48/35 48/35 48/35
79 554.3860 ? 135/98 11/8 11/8
80 561.4035 864/625 112/81 112/81 18/13
81 568.4211 25/18 25/18 25/18 25/18
82 575.4386 ? 625/448 384/275 39/28
83 582.4561 4374/3125 7/5 7/5 7/5
84 589.4737 45/32 45/32 45/32 45/32
85 596.4912 78125/55296 343/243 140/99 55/39
86 603.5088 ? 486/343 99/70 78/55
87 610.5263 64/45 64/45 64/45 64/45
88 617.5439 3125/2187 10/7 10/7 10/7
89 624.5614 ? 735/512 275/192 56/39
90 631.5789 36/25 36/25 36/25 36/25
91 638.5965 625/432 81/56 81/56 13/9
92 645.6140 ? 196/135 16/11 16/11
93 652.6316 729/500 35/24 35/24 35/24
94 659.6491 375/256 256/175 256/175 117/80
95 666.6667 ? 72/49 22/15 22/15
96 673.6842 4608/3125 189/128 165/112 65/44
97 680.7018 40/27 40/27 40/27 40/27
98 687.7193 78125/52488 125/84 125/84 52/35
99 694.7368 23328/15625 112/75 112/75 112/75
100 701.7544 3/2 3/2 3/2 3/2
101 708.7719 15625/10368 675/448 385/256 98/65
102 715.7895 ? 189/125 50/33 50/33
103 722.8070 243/160 243/160 121/80 91/60
104 729.8246 3125/2048 32/21 32/21 32/21
105 736.8421 ? 49/32 49/32 49/32
106 743.8596 192/125 192/125 192/125 20/13
107 750.8772 125/81 54/35 54/35 54/35
108 757.8947 ? 1215/784 99/64 65/42
109 764.9123 972/625 14/9 14/9 14/9
110 771.9298 25/16 25/16 25/16 25/16
111 778.9474 ? 196/125 196/125 169/108
112 785.9649 19683/12500 63/40 11/7 11/7
113 792.9825 128/81 128/81 128/81 128/81
114 800.0000 31250/19683 100/63 35/22 35/22
115 807.0175 ? 625/392 625/392 78/49
116 814.0351 8/5 8/5 8/5 8/5
117 821.0526 3125/1944 45/28 45/28 45/28
118 828.0702 ? 392/243 160/99 21/13
119 835.0877 81/50 81/50 81/50 81/50
120 842.1053 625/384 512/315 363/224 13/8
121 849.1228 ? 49/30 18/11 18/11
122 856.1404 1024/625 105/64 105/64 64/39
123 863.1579 400/243 288/175 200/121 150/91
124 870.1754 ? 81/49 33/20 33/20
125 877.1930 5184/3125 224/135 128/77 108/65
126 884.2105 5/3 5/3 5/3 5/3
127 891.2281 78125/46656 375/224 375/224 117/70
128 898.2456 26244/15625 42/25 42/25 42/25
129 905.2632 27/16 27/16 27/16 27/16
130 912.2807 15625/9216 320/189 56/33 22/13
131 919.2982 ? 245/144 75/44 75/44
132 926.3158 128/75 128/75 128/75 128/75
133 933.3333 1250/729 12/7 12/7 12/7
134 940.3509 ? 441/256 55/32 55/32
135 947.3684 216/125 140/81 140/81 45/26
136 954.3860 125/72 125/72 121/70 26/15
137 961.4035 ? 256/147 96/55 96/55
138 968.4211 2187/1250 7/4 7/4 7/4
139 975.4386 225/128 225/128 225/128 160/91
140 982.4561 ? 432/245 44/25 44/25
141 989.4737 27648/15625 567/320 99/56 39/22
142 996.4912 16/9 16/9 16/9 16/9
143 1003.5088 15625/8748 25/14 25/14 25/14
144 1010.5263 ? 224/125 224/125 70/39
145 1017.5439 9/5 9/5 9/5 9/5
146 1024.5614 3125/1728 405/224 231/128 65/36
147 1031.5789 ? 49/27 20/11 20/11
148 1038.5965 729/400 175/96 175/96 91/50
149 1045.6140 1875/1024 64/35 64/35 64/35
150 1052.6316 ? 90/49 11/6 11/6
151 1059.6491 1152/625 448/243 224/121 24/13
152 1066.6667 50/27 50/27 50/27 50/27
153 1073.6842 ? 625/336 297/160 13/7
154 1080.7018 5832/3125 28/15 28/15 28/15
155 1087.7193 15/8 15/8 15/8 15/8
156 1094.7368 78125/41472 1176/625 560/297 49/26
157 1101.7544 59049/31250 189/100 66/35 66/35
158 1108.7719 243/128 243/128 121/64 91/48
159 1115.7895 12500/6561 40/21 21/11 21/11
160 1122.8070 ? 245/128 245/128 143/75
161 1129.8246 48/25 48/25 48/25 25/13
162 1136.8421 625/324 27/14 27/14 27/14
163 1143.8596 ? 784/405 64/33 64/33
164 1150.8772 243/125 35/18 35/18 35/18
165 1157.8947 125/64 125/64 125/64 39/20
166 1164.9123 ? 49/25 49/25 49/25
167 1171.9298 6144/3125 63/32 55/28 55/28
168 1178.9474 160/81 160/81 160/81 77/39
169 1185.9649 78125/39366 125/63 99/50 99/50
170 1192.9825 31104/15625 448/225 448/225 143/72
171 1200.0000 2/1 2/1 2/1 2/1