Table of 270edo intervals: Difference between revisions

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Prime 17 can be considered good enough
 
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{| class="wikitable right-1 right-2"
This '''table of 270edo intervals''' assumes the [[31-limit]] [[patent val]] of [[270edo]] {{val| 270 428 647 758 934 999 1104 1147 1221 1312 1338 }}. [[Prime harmonic]]s are in '''bold'''; inconsistently mapped intervals are in ''italic''. As is analysed in the main article, besides being a strong 13-limit system, 270edo can be used in the full 23-limit with a handful of inconsistencies into the 27-odd-limit, or as a no-17/13 no-23 31-limit system, fully consistent to the 35-odd-limit. For this reason, intervals of 23 are given in parentheses.
 
{| class="wikitable center-all right-1 right-2"
|-
! #
! Cents
! Marks
! 5-limit
! 7-limit
! 11-limit
! 13-limit
! 23-limit
! 31-limit
|-
|-
| | Step
| 0
| | Cents
| 0.0
| | 5-limit
| P1
| | 7-limit
| '''[[1/1]]'''
| | 11-limit
| "
| | 13-limit
| "
| "
| "
| "
|-
|-
| | 1
| 1
| | 4.{{overline|4}}
| 4.{{overline|4}}
| | 32805/32768
|  
| | 3136/3125
| ''[[32805/32768]]''
| | 385/384
| [[3136/3125]]
| | 325/324
| [[385/384]]
| "
| "
| "
|-
|-
| | 2
| 2
| | 8.{{overline|8}}
| 8.{{overline|8}}
| | 15625/15552
|  
| | 225/224
| [[15625/15552]]
| | 176/175
| [[225/224]]
| | 169/168
| [[176/175]]
| [[196/195]]
| "
| "
|-
|-
| | 3
| 3
| | 13.{{overline|3}}
| 13.{{overline|3}}
| | 78732/78125
|  
| | 126/125
| [[78732/78125]]
| | 121/120
| [[126/125]]
| | 121/120
| "
| "
| "
| "
|-
|-
| | 4
| 4
| | 17.{{overline|7}}
| 17.{{overline|7}}
| | 2048/2025
|  
| | 2048/2025
| [[2048/2025]]
| | 99/98
| "
| | 91/90
| [[99/98]]
| "
| "
| "
|-
|-
| | 5
| 5
| | 22.{{overline|2}}
| 22.{{overline|2}}
| | 81/80
|  
| | 81/80
| [[81/80]]
| | 81/80
| "
| | 78/77
| "
| [[78/77]]
| "
| "
|-
|-
| | 6
| 6
| | 26.{{overline|6}}
| 26.{{overline|6}}
| | 20000/19683
|  
| | 64/63
| [[20000/19683]]
| | 64/63
| [[64/63]]
| | 64/63
| "
| [[65/64]]
| "
| "
|-
|-
| | 7
| 7
| | 31.{{overline|1}}
| 31.{{overline|1}}
| | 3125/3072
|  
| | 3125/3072
| [[3125/3072]]
| | 55/54
| "
| | 55/54
| [[56/55]]
| "
| "
| "
|-
|-
| | 8
| 8
| | 35.{{overline|5}}
| 35.{{overline|5}}
| | 1594323/1562500
|  
| | 49/48
| [[1594323/1562500]]
| | 49/48
| [[49/48]]
| | 49/48
| "
| "
| "
| "
|-
|-
| | 9
| 9
| | 40.0
| 40.0
| | 128/125
|  
| | 128/125
| [[128/125]]
| | 45/44
| "
| | 45/44
| [[45/44]]
| "
| "
| "
|-
|-
| | 10
| 10
| | 44.{{overline|4}}
| 44.{{overline|4}}
| | 6561/6400
|  
| | 525/512
| [[6561/6400]]
| | 77/75
| [[525/512]]
| | 40/39
| [[77/75]]
| [[40/39]]
| [[39/38]]
| "
|-
|-
| | 11
| 11
| | 48.{{overline|8}}
| 48.{{overline|8}}
| | 250/243
|  
| | 36/35
| [[250/243]]
| | 36/35
| [[36/35]]
| | 36/35
| "
| "
| "
| "
|-
|-
| | 12
| 12
| | 53.{{overline|3}}
| 53.{{overline|3}}
| | 16875/16384
|  
| | 4096/3969
| [[16875/16384]]
| | 33/32
| [[4096/3969]]
| | 33/32
| [[33/32]]
| "
| "
| '''[[32/31]]'''
|-
|-
| | 13
| 13
| | 57.{{overline|7}}
| 57.{{overline|7}}
| | 262144/253125
| sA1
| | 405/392
| ''[[262144/253125]]''
| | 125/121
| [[405/392]]
| | 91/88
| [[125/121]]
| [[91/88]]
| "
| [[30/29]]
|-
|-
| | 14
| 14
| | 62.{{overline|2}}
| 62.{{overline|2}}
| | 648/625
|  
| | 28/27
| [[648/625]]
| | 28/27
| [[28/27]]
| | 28/27
| "
| "
| "
| "
|-
|-
| | 15
| 15
| | 66.{{overline|6}}
| 66.{{overline|6}}
| | 20480/19683
|  
| | 8192/7875
| [[20480/19683]]
| | 80/77
| [[8192/7875]]
| | 26/25
| [[80/77]]
| [[26/25]]
| "
| "
|-
|-
| | 16
| 16
| | 71.{{overline|1}}
| 71.{{overline|1}}
| | 25/24
|  
| | 25/24
| [[25/24]]
| | 25/24
| "
| | 25/24
| "
| "
| "
| "
|-
|-
| | 17
| 17
| | 75.{{overline|5}}
| 75.{{overline|5}}
| | 273375/262144
|  
| | 256/245
| ''[[273375/262144]]''
| | 256/245
| [[256/245]]
| | 117/112
| "
| [[117/112]]
| ([[23/22]])
| "
|-
|-
| | 18
| 18
| | 80.0
| 80.0
| | 16384/15625
|  
| | 1875/1792
| [[16384/15625]]
| | 22/21
| [[1875/1792]]
| | 22/21
| [[22/21]]
| "
| "
| "
|-
|-
| | 19
| 19
| | 84.{{overline|4}}
| 84.{{overline|4}}
| | 6561/6250
|  
| | 21/20
| [[6561/6250]]
| | 21/20
| [[21/20]]
| | 21/20
| "
| "
| "
| "
|-
|-
| | 20
| 20
| | 88.{{overline|8}}
| 88.{{overline|8}}
| | 256/243
| m2
| | 256/243
| [[256/243]]
| | 81/77
| "
| | 81/77
| [[81/77]]
| "
| [[20/19]]
| "
|-
|-
| | 21
| 21
| | 93.{{overline|3}}
| 93.{{overline|3}}
| | 135/128
|  
| | 135/128
| [[135/128]]
| | 132/125
| "
| | 96/91
| [[132/125]]
| [[96/91]]
| [[19/18]]
| "
|-
|-
| | 22
| 22
| | 97.{{overline|7}}
| 97.{{overline|7}}
| | 62500/59049
|  
| | 200/189
| [[62500/59049]]
| | 128/121
| [[200/189]]
| | 55/52
| [[128/121]]
| [[55/52]]
| [[18/17]]
| "
|-
|-
| | 23
| 23
| | 102.{{overline|2}}
| 102.{{overline|2}}
| | 78125/73728
|  
| | 3584/3375
| [[78125/73728]]
| | 35/33
| [[3584/3375]]
| | 35/33
| [[35/33]]
| "
| "
| "
|-
|-
| | 24
| 24
| | 106.{{overline|6}}
| 106.{{overline|6}}
| | 524288/492075
|  
| | 625/588
| ''[[524288/492075]]''
| | 625/588
| [[625/588]]
| | 117/110
| "
| [[117/110]]
| '''[[17/16]]'''
| "
|-
|-
| | 25
| 25
| | 111.{{overline|1}}
| 111.{{overline|1}}
| | 16/15
|  
| | 16/15
| [[16/15]]
| | 16/15
| "
| | 16/15
| "
| "
| "
| "
|-
|-
| | 26
| 26
| | 115.{{overline|5}}
| 115.{{overline|5}}
| | 2187/2048
| A1
| | 2187/2048
| [[2187/2048]]
| | 77/72
| "
| | 77/72
| [[77/72]]
| "
| "
| [[31/29]]
|-
|-
| | 27
| 27
| | 120.0
| 120.0
| | 3125/2916
|  
| | 15/14
| [[3125/2916]]
| | 15/14
| [[15/14]]
| | 15/14
| "
| "
| "
| "
|-
|-
| | 28
| 28
| | 124.{{overline|4}}
| 124.{{overline|4}}
| | 140625/131072
|  
| | 672/625
| ''[[140625/131072]]''
| | 189/176
| [[672/625]]
| | 130/121
| [[189/176]]
| [[130/121]]
| [[102/95]]
| [[29/27]]
|-
|-
| | 29
| 29
| | 128.{{overline|8}}
| 128.{{overline|8}}
| | 32768/30375
|  
| | 2205/2048
| ''[[32768/30375]]''
| | 264/245
| [[2205/2048]]
| | 14/13
| [[264/245]]
| [[14/13]]
| "
| "
|-
|-
| | 30
| 30
| | 133.{{overline|3}}
| 133.{{overline|3}}
| | 27/25
|  
| | 27/25
| [[27/25]]
| | 27/25
| "
| | 27/25
| "
| "
| "
| "
|-
|-
| | 31
| 31
| | 137.{{overline|7}}
| 137.{{overline|7}}
| | 64000/59049
|  
| | 1024/945
| [[64000/59049]]
| | 250/231
| [[1024/945]]
| | 13/12
| [[250/231]]
| [[13/12]]
| "
| "
|-
|-
| | 32
| 32
| | 142.{{overline|2}}
| 142.{{overline|2}}
| | 625/576
|  
| | 243/224
| [[625/576]]
| | 88/81
| [[243/224]]
| | 88/81
| [[88/81]]
| "
| [[38/35]]
| "
|-
|-
| | 33
| 33
| | 146.{{overline|6}}
| 146.{{overline|6}}
| | 2125764/1953125
| n2
| | 49/45
| [[2125764/1953125]]
| | 49/45
| [[49/45]]
| | 49/45
| "
| "
| (''[[25/23]]'')
| "
|-
|-
| | 34
| 34
| | 151.{{overline|1}}
| 151.{{overline|1}}
| | 2048/1875
|  
| | 2048/1875
| [[2048/1875]]
| | 12/11
| "
| | 12/11
| [[12/11]]
| "
| "
| "
|-
|-
| | 35
| 35
| | 155.{{overline|5}}
| 155.{{overline|5}}
| | 2187/2000
|  
| | 35/32
| [[2187/2000]]
| | 35/32
| [[35/32]]
| | 35/32
| "
| "
| ([[23/21]])
| "
|-
|-
| | 36
| 36
| | 160.0
| 160.0
| | 800/729
|  
| | 192/175
| [[800/729]]
| | 192/175
| [[192/175]]
| | 169/154
| "
| [[169/154]]
| [[56/51]]
| [[34/31]]
|-
|-
| | 37
| 37
| | 164.{{overline|4}}
| 164.{{overline|4}}
| | 1125/1024
|  
| | 1125/1024
| [[1125/1024]]
| | 11/10
| "
| | 11/10
| [[11/10]]
| "
| "
| "
|-
|-
| | 38
| 38
| | 168.{{overline|8}}
| 168.{{overline|8}}
| | 390625/354294
|  
| | 54/49
| [[390625/354294]]
| | 54/49
| [[54/49]]
| | 54/49
| "
| "
| "
| '''[[32/29]]'''
|-
|-
| | 39
| 39
| | 173.{{overline|3}}
| 173.{{overline|3}}
| | 3456/3125
|  
| | 448/405
| [[3456/3125]]
| | 243/220
| [[448/405]]
| | 243/220
| [[243/220]]
| "
| [[21/19]]
| "
|-
|-
| | 40
| 40
| | 177.{{overline|7}}
| 177.{{overline|7}}
| | 65536/59049
|  
| | 567/512
| ''[[65536/59049]]''
| | 256/231
| [[567/512]]
| | 72/65
| [[256/231]]
| [[72/65]]
| "
| [[31/28]]
|-
|-
| | 41
| 41
| | 182.{{overline|2}}
| 182.{{overline|2}}
| | 10/9
|  
| | 10/9
| [[10/9]]
| | 10/9
| "
| | 10/9
| "
| "
| "
| "
|-
|-
| | 42
| 42
| | 186.{{overline|6}}
| 186.{{overline|6}}
| | 18225/16384
|  
| | 4096/3675
| ''[[18225/16384]]''
| | 49/44
| [[4096/3675]]
| | 39/35
| [[49/44]]
| [[39/35]]
| "
| "
|-
|-
| | 43
| 43
| | 191.{{overline|1}}
| 191.{{overline|1}}
| | 78125/69984
|  
| | 125/112
| [[78125/69984]]
| | 125/112
| [[125/112]]
| | 125/112
| "
| "
| [[19/17]]
| "
|-
|-
| | 44
| 44
| | 195.{{overline|5}}
| 195.{{overline|5}}
| | 17496/15625
|  
| | 28/25
| [[17496/15625]]
| | 28/25
| [[28/25]]
| | 28/25
| "
| "
| "
| "
|-
|-
| | 45
| 45
| | 200.0
| 200.0
| | 4096/3645
|  
| | 4096/3645
| [[4096/3645]]
| | 55/49
| "
| | 55/49
| [[55/49]]
| "
| "
| "
|-
|-
| | 46
| 46
| | 204.{{overline|4}}
| 204.{{overline|4}}
| | 9/8
| M2
| | 9/8
| [[9/8]]
| | 9/8
| "
| | 9/8
| "
| "
| "
| "
|-
|-
| | 47
| 47
| | 208.{{overline|8}}
| 208.{{overline|8}}
| | 200000/177147
|  
| | 640/567
| [[200000/177147]]
| | 640/567
| [[640/567]]
| | 44/39
| "
| [[44/39]]
| "
| [[35/31]]
|-
|-
| | 48
| 48
| | 213.{{overline|3}}
| 213.{{overline|3}}
| | 15625/13824
|  
| | 2025/1792
| [[15625/13824]]
| | 112/99
| [[2025/1792]]
| | 112/99
| [[112/99]]
| "
| ([[26/23]])
| "
|-
|-
| | 49
| 49
| | 217.{{overline|7}}
| 217.{{overline|7}}
| | 177147/156250
|  
| | 245/216
| [[177147/156250]]
| | 245/216
| [[245/216]]
| | 143/126
| "
| [[143/126]]
| [[17/15]]
| "
|-
|-
| | 50
| 50
| | 222.{{overline|2}}
| 222.{{overline|2}}
| | 256/225
|  
| | 256/225
| [[256/225]]
| | 25/22
| "
| | 25/22
| [[25/22]]
| "
| "
| "
|-
|-
| | 51
| 51
| | 226.{{overline|6}}
| 226.{{overline|6}}
| | 729/640
|  
| | 729/640
| [[729/640]]
| | 154/135
| "
| | 154/135
| [[154/135]]
| "
| [[57/50]]
| "
|-
|-
| | 52
| 52
| | 231.{{overline|1}}
| 231.{{overline|1}}
| | 2500/2187
|  
| | 8/7
| [[2500/2187]]
| | 8/7
| [[8/7]]
| | 8/7
| "
| "
| "
| "
|-
|-
| | 53
| 53
| | 235.{{overline|5}}
| 235.{{overline|5}}
| | 9375/8192
| sA2
| | 3584/3125
| [[9375/8192]]
| | 55/48
| [[3584/3125]]
| | 55/48
| [[55/48]]
| "
| [[39/34]]
| "
|-
|-
| | 54
| 54
| | 240.0
| 240.0
| | 524288/455625
|  
| | 147/128
| ''[[524288/455625]]''
| | 147/128
| [[147/128]]
| | 147/128
| "
| "
| ([[23/20]])
| [[31/27]]
|-
|-
| | 55
| 55
| | 244.{{overline|4}}
| 244.{{overline|4}}
| | 144/125
|  
| | 144/125
| [[144/125]]
| | 121/105
| "
| | 121/105
| [[121/105]]
| "
| [[38/33]]
| "
|-
|-
| | 56
| 56
| | 248.{{overline|8}}
| 248.{{overline|8}}
| | 59049/51200
|  
| | 4725/4096
| [[59049/51200]]
| | 231/200
| [[4725/4096]]
| | 15/13
| [[231/200]]
| [[15/13]]
| "
| "
|-
|-
| | 57
| 57
| | 253.{{overline|3}}
| 253.{{overline|3}}
| | 125/108
|  
| | 81/70
| [[125/108]]
| | 81/70
| [[81/70]]
| | 81/70
| "
| "
| [[22/19]]
| "
|-
|-
| | 58
| 58
| | 257.{{overline|7}}
| 257.{{overline|7}}
| | 151875/131072
|  
| | 512/441
| ''[[151875/131072]]''
| | 297/256
| [[512/441]]
| | 65/56
| [[297/256]]
| [[65/56]]
| "
| [[29/25]]
|-
|-
| | 59
| 59
| | 262.{{overline|2}}
| 262.{{overline|2}}
| | 32768/28125
|  
| | 3125/2688
| ''[[32768/28125]]''
| | 64/55
| [[3125/2688]]
| | 64/55
| [[64/55]]
| "
| [[57/49]]
| "
|-
|-
| | 60
| 60
| | 266.{{overline|6}}
| 266.{{overline|6}}
| | 729/625
|  
| | 7/6
| [[729/625]]
| | 7/6
| [[7/6]]
| | 7/6
| "
| "
| "
| "
|-
|-
| | 61
| 61
| | 271.{{overline|1}}
| 271.{{overline|1}}
| | 2560/2187
|  
| | 1024/875
| [[2560/2187]]
| | 90/77
| [[1024/875]]
| | 90/77
| [[90/77]]
| "
| [[76/65]]
| "
|-
|-
| | 62
| 62
| | 275.{{overline|5}}
| 275.{{overline|5}}
| | 75/64
|  
| | 75/64
| [[75/64]]
| | 75/64
| "
| | 75/64
| "
| "
| "
| [[34/29]]
|-
|-
| | 63
| 63
| | 280.0
| 280.0
| | 625000/531441
|  
| | 147/125
| [[625000/531441]]
| | 147/125
| [[147/125]]
| | 147/125
| "
| "
| [[20/17]]
| "
|-
|-
| | 64
| 64
| | 284.{{overline|4}}
| 284.{{overline|4}}
| | 18432/15625
|  
| | 7168/6075
| [[18432/15625]]
| | 33/28
| [[7168/6075]]
| | 33/28
| [[33/28]]
| "
| "
| "
|-
|-
| | 65
| 65
| | 288.{{overline|8}}
| 288.{{overline|8}}
| | 59049/50000
|  
| | 189/160
| [[59049/50000]]
| | 189/160
| [[189/160]]
| | 13/11
| "
| [[13/11]]
| "
| "
|-
|-
| | 66
| 66
| | 293.{{overline|3}}
| 293.{{overline|3}}
| | 32/27
| m3
| | 32/27
| [[32/27]]
| | 32/27
| "
| | 32/27
| "
| "
| "
| "
|-
|-
| | 67
| 67
| | 297.{{overline|7}}
| 297.{{overline|7}}
| | 1215/1024
|  
| | 1215/1024
| [[1215/1024]]
| | 196/165
| "
| | 108/91
| [[196/165]]
| [[108/91]]
| '''[[19/16]]'''
| "
|-
|-
| | 68
| 68
| | 302.{{overline|2}}
| 302.{{overline|2}}
| | 15625/13122
|  
| | 25/21
| [[15625/13122]]
| | 25/21
| [[25/21]]
| | 25/21
| "
| "
| "
| "
|-
|-
| | 69
| 69
| | 306.{{overline|6}}
| 306.{{overline|6}}
| | 78125/65536
|  
| | 448/375
| ''[[78125/65536]]''
| | 105/88
| [[448/375]]
| | 105/88
| [[105/88]]
| "
| [[68/57]]
| [[31/26]]
|-
|-
| | 70
| 70
| | 311.{{overline|1}}
| 311.{{overline|1}}
| | 65536/54675
|  
| | 1225/1024
| ''[[65536/54675]]''
| | 176/147
| [[1225/1024]]
| | 140/117
| [[176/147]]
| [[140/117]]
| [[91/76]]
| "
|-
|-
| | 71
| 71
| | 315.{{overline|5}}
| 315.{{overline|5}}
| | 6/5
|  
| | 6/5
| [[6/5]]
| | 6/5
| "
| | 6/5
| "
| "
| "
| "
|-
|-
| | 72
| 72
| | 320.0
| 320.0
| | 19683/16384
|  
| | 2048/1701
| ''[[19683/16384]]''
| | 77/64
| [[2048/1701]]
| | 65/54
| [[77/64]]
| [[65/54]]
| "
| "
|-
|-
| | 73
| 73
| | 324.{{overline|4}}
| 324.{{overline|4}}
| | 3125/2592
|  
| | 135/112
| [[3125/2592]]
| | 135/112
| [[135/112]]
| | 135/112
| "
| "
| [[76/63]]
| [[35/29]]
|-
|-
| | 74
| 74
| | 328.{{overline|8}}
| 328.{{overline|8}}
| | 472392/390625
|  
| | 98/81
| [[472392/390625]]
| | 98/81
| [[98/81]]
| | 98/81
| "
| "
| ([[23/19]])
| [[29/24]]
|-
|-
| | 75
| 75
| | 333.{{overline|3}}
| 333.{{overline|3}}
| | 4096/3375
|  
| | 4096/3375
| [[4096/3375]]
| | 40/33
| "
| | 40/33
| [[40/33]]
| "
| "
| "
|-
|-
| | 76
| 76
| | 337.{{overline|7}}
| 337.{{overline|7}}
| | 243/200
|  
| | 175/144
| [[243/200]]
| | 147/121
| [[175/144]]
| | 147/121
| [[147/121]]
| "
| [[17/14]]
| "
|-
|-
| | 77
| 77
| | 342.{{overline|2}}
| 342.{{overline|2}}
| | 8000/6561
|  
| | 128/105
| [[8000/6561]]
| | 128/105
| [[128/105]]
| | 39/32
| "
| [[39/32]]
| ([[28/23]])
| "
|-
|-
| | 78
| 78
| | 346.{{overline|6}}
| 346.{{overline|6}}
| | 625/512
|  
| | 625/512
| [[625/512]]
| | 11/9
| "
| | 11/9
| [[11/9]]
| "
| "
| "
|-
|-
| | 79
| 79
| | 351.{{overline|1}}
| 351.{{overline|1}}
| | 1953125/1594323
| n3
| | 49/40
| [[1953125/1594323]]
| | 49/40
| [[49/40]]
| | 49/40
| "
| "
| "
| [[38/31]]
|-
|-
| | 80
| 80
| | 355.{{overline|5}}
| 355.{{overline|5}}
| | 768/625
|  
| | 768/625
| [[768/625]]
| | 27/22
| "
| | 27/22
| [[27/22]]
| "
| "
| "
|-
|-
| | 81
| 81
| | 360.0
| 360.0
| | 19683/16000
|  
| | 315/256
| [[19683/16000]]
| | 154/125
| [[315/256]]
| | 16/13
| [[154/125]]
| '''[[16/13]]'''
| "
| "
|-
|-
| | 82
| 82
| | 364.{{overline|4}}
| 364.{{overline|4}}
| | 100/81
|  
| | 100/81
| [[100/81]]
| | 100/81
| "
| | 100/81
| "
| "
| [[21/17]]
| "
|-
|-
| | 83
| 83
| | 368.{{overline|8}}
| 368.{{overline|8}}
| | 10125/8192
|  
| | 8192/6615
| [[10125/8192]]
| | 99/80
| [[8192/6615]]
| | 26/21
| [[99/80]]
| [[26/21]]
| "
| "
|-
|-
| | 84
| 84
| | 373.{{overline|3}}
| 373.{{overline|3}}
| | 390625/314928
|  
| | 243/196
| [[390625/314928]]
| | 150/121
| [[243/196]]
| | 150/121
| [[150/121]]
| "
| ([[57/46]])
| [[31/25]]
|-
|-
| | 85
| 85
| | 377.{{overline|7}}
| 377.{{overline|7}}
| | 3888/3125
|  
| | 56/45
| [[3888/3125]]
| | 56/45
| [[56/45]]
| | 56/45
| "
| "
| "
| "
|-
|-
| | 86
| 86
| | 382.{{overline|2}}
| 382.{{overline|2}}
| | 8192/6561
|  
| | 5103/4096
| [[8192/6561]]
| | 96/77
| [[5103/4096]]
| | 81/65
| [[96/77]]
| [[81/65]]
| "
| "
|-
|-
| | 87
| 87
| | 386.{{overline|6}}
| 386.{{overline|6}}
| | 5/4
|  
| | 5/4
| '''[[5/4]]'''
| | 5/4
| "
| | 5/4
| "
| "
| "
| "
|-
|-
| | 88
| 88
| | 391.{{overline|1}}
| 391.{{overline|1}}
| | 164025/131072
|  
| | 784/625
| ''[[164025/131072]]''
| | 441/352
| [[784/625]]
| | 351/280
| [[441/352]]
| [[351/280]]
| [[64/51]]
| "
|-
|-
| | 89
| 89
| | 395.{{overline|5}}
| 395.{{overline|5}}
| | 78125/62208
|  
| | 1125/896
| [[78125/62208]]
| | 44/35
| [[1125/896]]
| | 44/35
| [[44/35]]
| "
| "
| "
|-
|-
| | 90
| 90
| | 400.0
| 400.0
| | 19683/15625
|  
| | 63/50
| [[19683/15625]]
| | 63/50
| [[63/50]]
| | 63/50
| "
| "
| [[34/27]]
| "
|-
|-
| | 91
| 91
| | 404.{{overline|4}}
| 404.{{overline|4}}
| | 512/405
|  
| | 512/405
| [[512/405]]
| | 125/99
| "
| | 91/72
| [[125/99]]
| [[91/72]]
| [[24/19]]
| "
|-
|-
| | 92
| 92
| | 408.{{overline|8}}
| 408.{{overline|8}}
| | 81/64
| M3
| | 81/64
| [[81/64]]
| | 81/64
| "
| | 81/64
| "
| "
| [[19/15]]
| "
|-
|-
| | 93
| 93
| | 412.{{overline|2}}
| 413.{{overline|3}}
| | 25000/19683
|  
| | 80/63
| [[25000/19683]]
| | 80/63
| [[80/63]]
| | 33/26
| "
| [[33/26]]
| "
| "
|-
|-
| | 94
| 94
| | 417.{{overline|7}}
| 417.{{overline|7}}
| | 15625/12288
|  
| | 7168/5625
| [[15625/12288]]
| | 14/11
| [[7168/5625]]
| | 14/11
| [[14/11]]
| "
| "
| "
|-
|-
| | 95
| 95
| | 422.{{overline|2}}
| 422.{{overline|2}}
| | 1048576/820125
|  
| | 125/98
| ''[[1048576/820125]]''
| | 125/98
| [[125/98]]
| | 125/98
| "
| "
| ([[23/18]])
| "
|-
|-
| | 96
| 96
| | 426.{{overline|6}}
| 426.{{overline|6}}
| | 32/25
|  
| | 32/25
| [[32/25]]
| | 32/25
| "
| | 32/25
| "
| "
| "
| "
|-
|-
| | 97
| 97
| | 431.{{overline|1}}
| 431.{{overline|1}}
| | 6561/5120
|  
| | 2625/2048
| [[6561/5120]]
| | 77/60
| [[2625/2048]]
| | 50/39
| [[77/60]]
| [[50/39]]
| "
| "
|-
|-
| | 98
| 98
| | 435.{{overline|5}}
| 435.{{overline|5}}
| | 625/486
|  
| | 9/7
| [[625/486]]
| | 9/7
| [[9/7]]
| | 9/7
| "
| "
| "
| "
|-
|-
| | 99
| 99
| | 440.0
| 440.0
| | 84375/65536
| sd4
| | 1568/1215
| ''[[84375/65536]]''
| | 165/128
| [[1568/1215]]
| | 156/121
| [[165/128]]
| [[156/121]]
| [[49/38]]
| [[40/31]]
|-
|-
| | 100
| 100
| | 444.{{overline|4}}
| 444.{{overline|4}}
| | 65536/50625
|  
| | 1323/1024
| ''[[65536/50625]]''
| | 128/99
| [[1323/1024]]
| | 84/65
| [[128/99]]
| [[84/65]]
| [[22/17]]
| "
|-
|-
| | 101
| 101
| | 448.{{overline|8}}
| 448.{{overline|8}}
| | 162/125
|  
| | 35/27
| [[162/125]]
| | 35/27
| [[35/27]]
| | 35/27
| "
| "
| "
| "
|-
|-
| | 102
| 102
| | 453.{{overline|3}}
| 453.{{overline|3}}
| | 25600/19683
|  
| | 2048/1575
| [[25600/19683]]
| | 100/77
| [[2048/1575]]
| | 13/10
| [[100/77]]
| [[13/10]]
| "
| "
|-
|-
| | 103
| 103
| | 457.{{overline|7}}
| 457.{{overline|7}}
| | 125/96
|  
| | 125/96
| [[125/96]]
| | 125/96
| "
| | 125/96
| "
| "
| [[99/76]]
| "
|-
|-
| | 104
| 104
| | 462.{{overline|2}}
| 462.{{overline|2}}
| | 1366875/1048576
|  
| | 64/49
| ''[[1366875/1048576]]''
| | 64/49
| [[64/49]]
| | 64/49
| "
| "
| (''[[30/23]]'')
| "
|-
|-
| | 105
| 105
| | 466.{{overline|6}}
| 466.{{overline|6}}
| | 4096/3125
|  
| | 4096/3125
| [[4096/3125]]
| | 55/42
| "
| | 55/42
| [[55/42]]
| "
| ''[[17/13]]''
| [[38/29]]
|-
|-
| | 106
| 106
| | 471.{{overline|1}}
| 471.{{overline|1}}
| | 6561/5000
|  
| | 21/16
| [[6561/5000]]
| | 21/16
| [[21/16]]
| | 21/16
| "
| "
| "
| "
|-
|-
| | 107
| 107
| | 475.{{overline|5}}
| 475.{{overline|5}}
| | 320/243
|  
| | 320/243
| [[320/243]]
| | 320/243
| "
| | 154/117
| "
| [[154/117]]
| [[25/19]]
| "
|-
|-
| | 108
| 108
| | 480.0
| 480.0
| | 675/512
|  
| | 675/512
| [[675/512]]
| | 33/25
| "
| | 33/25
| [[33/25]]
| "
| "
| [[29/22]]
|-
|-
| | 109
| 109
| | 484.{{overline|4}}
| 484.{{overline|4}}
| | 78125/59049
|  
| | 250/189
| [[78125/59049]]
| | 160/121
| [[250/189]]
| | 143/108
| [[160/121]]
| [[143/108]]
| [[45/34]]
| "
|-
|-
| | 110
| 110
| | 488.{{overline|8}}
| 488.{{overline|8}}
| | 20736/15625
|  
| | 896/675
| [[20736/15625]]
| | 175/132
| [[896/675]]
| | 65/49
| [[175/132]]
| [[65/49]]
| "
| "
|-
|-
| | 111
| 111
| | 493.{{overline|3}}
| 493.{{overline|3}}
| | 131072/98415
|  
| | 1701/1280
| ''[[131072/98415]]''
| | 512/385
| [[1701/1280]]
| | 117/88
| [[512/385]]
| [[117/88]]
| [[85/64]]
| "
|-
|-
| | 112
| 112
| | 497.{{overline|7}}
| 497.{{overline|7}}
| | 4/3
| P4
| | 4/3
| [[4/3]]
| | 4/3
| "
| | 4/3
| "
| "
| "
| "
|-
|-
| | 113
| 113
| | 502.{{overline|2}}
| 502.{{overline|2}}
| | 10935/8192
|  
| | 8192/6125
| ''[[10935/8192]]''
| | 147/110
| [[8192/6125]]
| | 147/110
| [[147/110]]
| "
| [[91/68]]
| "
|-
|-
| | 114
| 114
| | 506.{{overline|6}}
| 506.{{overline|6}}
| | 15625/11664
|  
| | 75/56
| [[15625/11664]]
| | 75/56
| [[75/56]]
| | 75/56
| "
| "
| "
| "
|-
|-
| | 115
| 115
| | 511.{{overline|1}}
| 511.{{overline|1}}
| | 104976/78125
|  
| | 168/125
| [[104976/78125]]
| | 121/90
| [[168/125]]
| | 121/90
| [[121/90]]
| "
| [[51/38]]
| [[39/29]]
|-
|-
| | 116
| 116
| | 515.{{overline|5}}
| 515.{{overline|5}}
| | 8192/6075
|  
| | 8192/6075
| [[8192/6075]]
| | 66/49
| "
| | 35/26
| [[66/49]]
| [[35/26]]
| "
| "
|-
|-
| | 117
| 117
| | 520.0
| 520.0
| | 27/20
|  
| | 27/20
| [[27/20]]
| | 27/20
| "
| | 27/20
| "
| "
| (''[[23/17]]'')
| "
|-
|-
| | 118
| 118
| | 524.{{overline|4}}
| 524.{{overline|4}}
| | 80000/59049
|  
| | 256/189
| [[80000/59049]]
| | 256/189
| [[256/189]]
| | 65/48
| "
| [[65/48]]
| "
| [[42/31]]
|-
|-
| | 119
| 119
| | 528.{{overline|8}}
| 528.{{overline|8}}
| | 3125/2304
|  
| | 1215/896
| [[3125/2304]]
| | 110/81
| [[1215/896]]
| | 110/81
| [[110/81]]
| "
| [[19/14]]
| "
|-
|-
| | 120
| 120
| | 533.{{overline|3}}
| 533.{{overline|3}}
| | 531441/390625
|  
| | 49/36
| [[531441/390625]]
| | 49/36
| [[49/36]]
| | 49/36
| "
| "
| [[34/25]]
| "
|-
|-
| | 121
| 121
| | 537.{{overline|7}}
| 537.{{overline|7}}
| | 512/375
|  
| | 512/375
| [[512/375]]
| | 15/11
| "
| | 15/11
| [[15/11]]
| "
| "
| "
|-
|-
| | 122
| 122
| | 542.{{overline|2}}
| 542.{{overline|2}}
| | 2187/1600
|  
| | 175/128
| [[2187/1600]]
| | 175/128
| [[175/128]]
| | 160/117
| "
| [[160/117]]
| [[26/19]]
| "
|-
|-
| | 123
| 123
| | 546.{{overline|6}}
| 546.{{overline|6}}
| | 1000/729
|  
| | 48/35
| [[1000/729]]
| | 48/35
| [[48/35]]
| | 48/35
| "
| "
| "
| "
|-
|-
| | 124
| 124
| | 551.{{overline|1}}
| 551.{{overline|1}}
| | 5625/4096
|  
| | 5625/4096
| [[5625/4096]]
| | 11/8
| "
| | 11/8
| '''[[11/8]]'''
| "
| "
| "
|-
|-
| | 125
| 125
| | 555.{{overline|5}}
| 555.{{overline|5}}
| | 1048576/759375
| sA4
| | 135/98
| ''[[1048576/759375]]''
| | 135/98
| [[135/98]]
| | 91/66
| "
| [[91/66]]
| ([[69/50]])
| [[40/29]]
|-
|-
| | 126
| 126
| | 560.0
| 560.0
| | 864/625
|  
| | 112/81
| [[864/625]]
| | 112/81
| [[112/81]]
| | 112/81
| "
| "
| [[105/76]]
| [[29/21]]
|-
|-
| | 127
| 127
| | 564.{{overline|4}}
| 564.{{overline|4}}
| | 81920/59049
|  
| | 2835/2048
| ''[[81920/59049]]''
| | 320/231
| [[2835/2048]]
| | 18/13
| [[320/231]]
| [[18/13]]
| "
| "
|-
|-
| | 128
| 128
| | 568.{{overline|8}}
| 568.{{overline|8}}
| | 25/18
|  
| | 25/18
| [[25/18]]
| | 25/18
| "
| | 25/18
| "
| "
| "
| "
|-
|-
| | 129
| 129
| | 573.{{overline|3}}
| 573.{{overline|3}}
| | 91125/65536
|  
| | 1024/735
| ''[[91125/65536]]''
| | 245/176
| [[1024/735]]
| | 39/28
| [[245/176]]
| [[39/28]]
| ('''[[32/23]]''')
| "
|-
|-
| | 130
| 130
| | 577.{{overline|7}}
| 577.{{overline|7}}
| | 65536/46875
|  
| | 625/448
| ''[[65536/46875]]''
| | 88/63
| [[625/448]]
| | 88/63
| [[88/63]]
| "
| "
| "
|-
|-
| | 131
| 131
| | 582.{{overline|2}}
| 582.{{overline|2}}
| | 4374/3125
|  
| | 7/5
| [[4374/3125]]
| | 7/5
| [[7/5]]
| | 7/5
| "
| "
| "
| "
|-
|-
| | 132
| 132
| | 586.{{overline|6}}
| 586.{{overline|6}}
| | 1024/729
| d5
| | 1024/729
| [[1024/729]]
| | 108/77
| "
| | 108/77
| [[108/77]]
| "
| [[80/57]]
| "
|-
|-
| | 133
| 133
| | 591.{{overline|1}}
| 591.{{overline|1}}
| | 45/32
|  
| | 45/32
| [[45/32]]
| | 45/32
| "
| | 45/32
| "
| "
| [[38/27]]
| "
|-
|-
| | 134
| 134
| | 595.{{overline|5}}
| 595.{{overline|5}}
| | 250000/177147
|  
| | 343/243
| [[250000/177147]]
| | 343/243
| [[343/243]]
| | 55/39
| "
| [[55/39]]
| [[24/17]]
| "
|-
|-
| | 135
| 135
| | 600.0
| 600.0
| | 78125/55296
|  
| | 10125/7168
| [[78125/55296]]
| | 99/70
| [[10125/7168]]
| | 99/70
| [[99/70]]
| "
| "
| "
|-
|-
| | 136
| 136
| | 604.{{overline|4}}
| 604.{{overline|4}}
| | 177147/125000
|  
| | 486/343
| [[177147/125000]]
| | 343/242
| [[486/343]]
| | 78/55
| [[343/242]]
| [[78/55]]
| [[17/12]]
| "
|-
|-
| | 137
| 137
| | 608.{{overline|8}}
| 608.{{overline|8}}
| | 64/45
|  
| | 64/45
| [[64/45]]
| | 64/45
| "
| | 64/45
| "
| "
| [[27/19]]
| "
|-
|-
| | 138
| 138
| | 613.{{overline|3}}
| 613.{{overline|3}}
| | 729/512
| A4
| | 729/512
| [[729/512]]
| | 77/54
| "
| | 77/54
| [[77/54]]
| "
| [[57/40]]
| "
|-
|-
| | 139
| 139
| | 617.{{overline|7}}
| 617.{{overline|7}}
| | 3125/2187
|  
| | 10/7
| [[3125/2187]]
| | 10/7
| [[10/7]]
| | 10/7
| "
| "
| "
| "
|-
|-
| | 140
| 140
| | 622.{{overline|2}}
| 622.{{overline|2}}
| | 46875/32768
|  
| | 896/625
| ''[[46875/32768]]''
| | 63/44
| [[896/625]]
| | 63/44
| [[63/44]]
| "
| "
| "
|-
|-
| | 141
| 141
| | 626.{{overline|6}}
| 626.{{overline|6}}
| | 131072/91125
|  
| | 735/512
| ''[[131072/91125]]''
| | 352/245
| [[735/512]]
| | 56/39
| [[352/245]]
| [[56/39]]
| ('''[[23/16]]''')
| "
|-
|-
| | 142
| 142
| | 631.{{overline|1}}
| 631.{{overline|1}}
| | 36/25
|  
| | 36/25
| [[36/25]]
| | 36/25
| "
| | 36/25
| "
| "
| "
| "
|-
|-
| | 143
| 143
| | 635.{{overline|5}}
| 635.{{overline|5}}
| | 59049/40960
|  
| | 4096/2835
| ''[[59049/40960]]''
| | 231/160
| [[4096/2835]]
| | 13/9
| [[231/160]]
| [[13/9]]
| "
| "
|-
|-
| | 144
| 144
| | 640.0
| 640.0
| | 625/432
|  
| | 81/56
| [[625/432]]
| | 81/56
| [[81/56]]
| | 81/56
| "
| "
| "
| [[42/29]]
|-
|-
| | 145
| 145
| | 644.{{overline|4}}
| 644.{{overline|4}}
| | 759375/524288
| sd5
| | 196/135
| ''[[759375/524288]]''
| | 196/135
| [[196/135]]
| | 132/91
| "
| [[132/91]]
| ([[100/69]])
| [[29/20]]
|-
|-
| | 146
| 146
| | 648.{{overline|8}}
| 648.{{overline|8}}
| | 8192/5625
|  
| | 8192/5625
| [[8192/5625]]
| | 16/11
| "
| | 16/11
| [[16/11]]
| "
| "
| "
|-
|-
| | 147
| 147
| | 653.{{overline|3}}
| 653.{{overline|3}}
| | 729/500
|  
| | 35/24
| [[729/500]]
| | 35/24
| [[35/24]]
| | 35/24
| "
| "
| "
| "
|-
|-
| | 148
| 148
| | 657.{{overline|7}}
| 657.{{overline|7}}
| | 3200/2187
|  
| | 256/175
| [[3200/2187]]
| | 225/154
| [[256/175]]
| | 117/80
| [[225/154]]
| [[117/80]]
| [[19/13]]
| "
|-
|-
| | 149
| 149
| | 662.{{overline|2}}
| 662.{{overline|2}}
| | 375/256
|  
| | 375/256
| [[375/256]]
| | 22/15
| "
| | 22/15
| [[22/15]]
| "
| "
| "
|-
|-
| | 150
| 150
| | 666.{{overline|6}}
| 666.{{overline|6}}
| | 781250/531441
|  
| | 72/49
| [[781250/531441]]
| | 72/49
| [[72/49]]
| | 72/49
| "
| "
| [[25/17]]
| "
|-
|-
| | 151
| 151
| | 671.{{overline|1}}
| 671.{{overline|1}}
| | 4608/3125
|  
| | 1792/1215
| [[4608/3125]]
| | 81/55
| [[1792/1215]]
| | 81/55
| [[81/55]]
| "
| [[28/19]]
| "
|-
|-
| | 152
| 152
| | 675.{{overline|5}}
| 675.{{overline|5}}
| | 59049/40000
|  
| | 189/128
| [[59049/40000]]
| | 189/128
| [[189/128]]
| | 65/44
| "
| [[65/44]]
| "
| [[31/21]]
|-
|-
| | 153
| 153
| | 680.0
| 680.0
| | 40/27
|  
| | 40/27
| [[40/27]]
| | 40/27
| "
| | 40/27
| "
| "
| (''[[34/23]]'')
| "
|-
|-
| | 154
| 154
| | 684.{{overline|4}}
| 684.{{overline|4}}
| | 6075/4096
|  
| | 6075/4096
| [[6075/4096]]
| | 49/33
| "
| | 49/33
| [[49/33]]
| "
| "
| "
|-
|-
| | 155
| 155
| | 688.{{overline|8}}
| 688.{{overline|8}}
| | 78125/52488
|  
| | 125/84
| [[78125/52488]]
| | 125/84
| [[125/84]]
| | 125/84
| "
| "
| [[76/51]]
| [[58/39]]
|-
|-
| | 156
| 156
| | 693.{{overline|3}}
| 693.{{overline|3}}
| | 23328/15625
|  
| | 112/75
| [[23328/15625]]
| | 112/75
| [[112/75]]
| | 112/75
| "
| "
| [[85/57]]
| "
|-
|-
| | 157
| 157
| | 697.{{overline|7}}
| 697.{{overline|7}}
| | 16384/10935
|  
| | 6125/4096
| ''[[16384/10935]]''
| | 220/147
| [[6125/4096]]
| | 175/117
| [[220/147]]
| [[175/117]]
| [[136/91]]
| "
|-
|-
| | 158
| 158
| | 702.{{overline|2}}
| 702.{{overline|2}}
| | 3/2
| P5
| | 3/2
| '''[[3/2]]'''
| | 3/2
| "
| | 3/2
| "
| "
| "
| "
|-
|-
| | 159
| 159
| | 706.{{overline|6}}
| 706.{{overline|6}}
| | 98415/65536
|  
| | 2560/1701
| ''[[98415/65536]]''
| | 385/256
| [[2560/1701]]
| | 176/117
| [[385/256]]
| [[176/117]]
| [[128/85]]
| "
|-
|-
| | 160
| 160
| | 711.{{overline|1}}
| 711.{{overline|1}}
| | 15625/10368
|  
| | 675/448
| [[15625/10368]]
| | 264/175
| [[675/448]]
| | 98/65
| [[264/175]]
| [[98/65]]
| [[95/63]]
| "
|-
|-
| | 161
| 161
| | 715.{{overline|5}}
| 715.{{overline|5}}
| | 118098/78125
|  
| | 189/125
| [[118098/78125]]
| | 121/80
| [[189/125]]
| | 121/80
| [[121/80]]
| "
| [[68/45]]
| "
|-
|-
| | 162
| 162
| | 720.0
| 720.0
| | 1024/675
|  
| | 1024/675
| [[1024/675]]
| | 50/33
| "
| | 50/33
| [[50/33]]
| "
| "
| [[44/29]]
|-
|-
| | 163
| 163
| | 724.{{overline|4}}
| 724.{{overline|4}}
| | 243/160
|  
| | 243/160
| [[243/160]]
| | 243/160
| "
| | 117/77
| "
| [[117/77]]
| [[38/25]]
| "
|-
|-
| | 164
| 164
| | 728.{{overline|8}}
| 728.{{overline|8}}
| | 10000/6561
|  
| | 32/21
| [[10000/6561]]
| | 32/21
| [[32/21]]
| | 32/21
| "
| "
| "
| "
|-
|-
| | 165
| 165
| | 733.{{overline|3}}
| 733.{{overline|3}}
| | 3125/2048
|  
| | 3125/2048
| [[3125/2048]]
| | 55/36
| "
| | 55/36
| [[55/36]]
| "
| ''[[26/17]]''
| [[29/19]]
|-
|-
| | 166
| 166
| | 737.{{overline|7}}
| 737.{{overline|7}}
| | 2097152/1366875
|  
| | 49/32
| ''[[2097152/1366875]]''
| | 49/32
| [[49/32]]
| | 49/32
| "
| "
| (''[[23/15]]'')
| "
|-
|-
| | 167
| 167
| | 742.{{overline|2}}
| 742.{{overline|2}}
| | 192/125
|  
| | 192/125
| [[192/125]]
| | 135/88
| "
| | 135/88
| [[135/88]]
| "
| "
| "
|-
|-
| | 168
| 168
| | 746.{{overline|6}}
| 746.{{overline|6}}
| | 19683/12800
|  
| | 1575/1024
| [[19683/12800]]
| | 77/50
| [[1575/1024]]
| | 20/13
| [[77/50]]
| [[20/13]]
| "
| "
|-
|-
| | 169
| 169
| | 751.{{overline|1}}
| 751.{{overline|1}}
| | 125/81
|  
| | 54/35
| [[125/81]]
| | 54/35
| [[54/35]]
| | 54/35
| "
| "
| "
| "
|-
|-
| | 170
| 170
| | 755.{{overline|5}}
| 755.{{overline|5}}
| | 50625/32768
|  
| | 2048/1323
| ''[[50625/32768]]''
| | 99/64
| [[2048/1323]]
| | 65/42
| [[99/64]]
| [[65/42]]
| [[17/11]]
| "
|-
|-
| | 171
| 171
| | 760.0
| 760.0
| | 131072/84375
| sA5
| | 1215/784
| ''[[131072/84375]]''
| | 256/165
| [[1215/784]]
| | 121/78
| [[256/165]]
| [[121/78]]
| [[76/49]]
| [[31/20]]
|-
|-
| | 172
| 172
| | 764.{{overline|4}}
| 764.{{overline|4}}
| | 972/625
|  
| | 14/9
| [[972/625]]
| | 14/9
| [[14/9]]
| | 14/9
| "
| "
| "
| "
|-
|-
| | 173
| 173
| | 768.{{overline|8}}
| 768.{{overline|8}}
| | 10240/6561
|  
| | 4096/2625
| [[10240/6561]]
| | 120/77
| [[4096/2625]]
| | 39/25
| [[120/77]]
| [[39/25]]
| "
| "
|-
|-
| | 174
| 174
| | 773.{{overline|3}}
| 773.{{overline|3}}
| | 25/16
|  
| | 25/16
| [[25/16]]
| | 25/16
| "
| | 25/16
| "
| "
| "
| "
|-
|-
| | 175
| 175
| | 777.{{overline|7}}
| 777.{{overline|7}}
| | 820125/524288
|  
| | 196/125
| ''[[820125/524288]]''
| | 196/125
| [[196/125]]
| | 196/125
| "
| "
| ([[36/23]])
| "
|-
|-
| | 176
| 176
| | 782.{{overline|2}}
| 782.{{overline|2}}
| | 24576/15625
|  
| | 5625/3584
| [[24576/15625]]
| | 11/7
| [[5625/3584]]
| | 11/7
| [[11/7]]
| "
| "
| "
|-
|-
| | 177
| 177
| | 786.{{overline|6}}
| 786.{{overline|6}}
| | 19683/12500
|  
| | 63/40
| [[19683/12500]]
| | 63/40
| [[63/40]]
| | 52/33
| "
| [[52/33]]
| "
| "
|-
|-
| | 178
| 178
| | 791.{{overline|1}}
| 791.{{overline|1}}
| | 128/81
| m6
| | 128/81
| [[128/81]]
| | 128/81
| "
| | 128/81
| "
| "
| [[30/19]]
| "
|-
|-
| | 179
| 179
| | 795.{{overline|5}}
| 795.{{overline|5}}
| | 405/256
|  
| | 405/256
| [[405/256]]
| | 198/125
| "
| | 144/91
| [[198/125]]
| [[144/91]]
| [[19/12]]
| "
|-
|-
| | 180
| 180
| | 800.0
| 800.0
| | 31250/19683
|  
| | 100/63
| [[31250/19683]]
| | 100/63
| [[100/63]]
| | 100/63
| "
| "
| [[27/17]]
| "
|-
|-
| | 181
| 181
| | 804.{{overline|4}}
| 804.{{overline|4}}
| | 78125/49152
|  
| | 1792/1125
| [[78125/49152]]
| | 35/22
| [[1792/1125]]
| | 35/22
| [[35/22]]
| "
| "
| "
|-
|-
| | 182
| 182
| | 808.{{overline|8}}
| 808.{{overline|8}}
| | 262144/164025
|  
| | 625/392
| ''[[262144/164025]]''
| | 625/392
| [[625/392]]
| | 351/220
| "
| [[351/220]]
| [[51/32]]
| "
|-
|-
| | 183
| 183
| | 813.{{overline|3}}
| 813.{{overline|3}}
| | 8/5
|  
| | 8/5
| [[8/5]]
| | 8/5
| "
| | 8/5
| "
| "
| "
| "
|-
|-
| | 184
| 184
| | 817.{{overline|7}}
| 817.{{overline|7}}
| | 6561/4096
|  
| | 6561/4096
| [[6561/4096]]
| | 77/48
| "
| | 77/48
| [[77/48]]
| "
| "
| "
|-
|-
| | 185
| 185
| | 822.{{overline|2}}
| 822.{{overline|2}}
| | 3125/1944
|  
| | 45/28
| [[3125/1944]]
| | 45/28
| [[45/28]]
| | 45/28
| "
| "
| "
| "
|-
|-
| | 186
| 186
| | 826.{{overline|6}}
| 826.{{overline|6}}
| | 421875/262144
|  
| | 392/243
| [[421875/262144]]
| | 121/75
| [[392/243]]
| | 121/75
| [[121/75]]
| "
| ([[92/57]])
| [[29/18]]
|-
|-
| | 187
| 187
| | 831.{{overline|1}}
| 831.{{overline|1}}
| | 16384/10125
|  
| | 6615/4096
| [[16384/10125]]
| | 160/99
| [[6615/4096]]
| | 21/13
| [[160/99]]
| [[21/13]]
| "
| "
|-
|-
| | 188
| 188
| | 835.{{overline|5}}
| 835.{{overline|5}}
| | 81/50
|  
| | 81/50
| [[81/50]]
| | 81/50
| "
| | 81/50
| "
| "
| [[34/21]]
| "
|-
|-
| | 189
| 189
| | 840.0
| 840.0
| | 32000/19683
|  
| | 512/315
| [[32000/19683]]
| | 125/77
| [[512/315]]
| | 13/8
| [[125/77]]
| '''[[13/8]]'''
| "
| "
|-
|-
| | 190
| 190
| | 844.{{overline|4}}
| 844.{{overline|4}}
| | 625/384
|  
| | 625/384
| [[625/384]]
| | 44/27
| "
| | 44/27
| [[44/27]]
| "
| "
| "
|-
|-
| | 191
| 191
| | 848.{{overline|8}}
| 848.{{overline|8}}
| | 3188646/1953125
| n6
| | 49/30
| [[3188646/1953125]]
| | 49/30
| [[49/30]]
| | 49/30
| "
| "
| "
| [[31/19]]
|-
|-
| | 192
| 192
| | 853.{{overline|3}}
| 853.{{overline|3}}
| | 1024/625
|  
| | 1024/625
| [[1024/625]]
| | 18/11
| "
| | 18/11
| [[18/11]]
| "
| "
| "
|-
|-
| | 193
| 193
| | 857.{{overline|7}}
| 857.{{overline|7}}
| | 6561/4000
|  
| | 105/64
| [[6561/4000]]
| | 105/64
| [[105/64]]
| | 64/39
| "
| [[64/39]]
| ([[23/14]])
| "
|-
|-
| | 194
| 194
| | 862.{{overline|2}}
| 862.{{overline|2}}
| | 400/243
|  
| | 288/175
| [[400/243]]
| | 242/147
| [[288/175]]
| | 242/147
| [[242/147]]
| "
| [[28/17]]
| "
|-
|-
| | 195
| 195
| | 866.{{overline|6}}
| 866.{{overline|6}}
| | 3375/2048
|  
| | 3375/2048
| [[3375/2048]]
| | 33/20
| "
| | 33/20
| [[33/20]]
| "
| "
| "
|-
|-
| | 196
| 196
| | 871.{{overline|1}}
| 871.{{overline|1}}
| | 390625/236196
|  
| | 81/49
| [[390625/236196]]
| | 81/49
| [[81/49]]
| | 81/49
| "
| "
| ([[38/23]])
| [[48/29]]
|-
|-
| | 197
| 197
| | 875.{{overline|5}}
| 875.{{overline|5}}
| | 5184/3125
|  
| | 224/135
| [[5184/3125]]
| | 224/135
| [[224/135]]
| | 224/135
| "
| "
| [[63/38]]
| [[58/35]]
|-
|-
| | 198
| 198
| | 880.0
| 880.0
| | 32768/19683
|  
| | 1701/1024
| ''[[32768/19683]]''
| | 128/77
| [[1701/1024]]
| | 108/65
| [[128/77]]
| [[108/65]]
| "
| "
|-
|-
| | 199
| 199
| | 884.{{overline|4}}
| 884.{{overline|4}}
| | 5/3
|  
| | 5/3
| [[5/3]]
| | 5/3
| "
| | 5/3
| "
| "
| "
| "
|-
|-
| | 200
| 200
| | 888.{{overline|8}}
| 888.{{overline|8}}
| | 54675/32768
|  
| | 2048/1225
| ''[[54675/32768]]''
| | 147/88
| [[2048/1225]]
| | 117/70
| [[147/88]]
| [[117/70]]
| "
| "
|-
|-
| | 201
| 201
| | 893.{{overline|3}}
| 893.{{overline|3}}
| | 78125/46656
|  
| | 375/224
| [[78125/46656]]
| | 176/105
| [[375/224]]
| | 176/105
| [[176/105]]
| "
| [[57/34]]
| [[52/31]]
|-
|-
| | 202
| 202
| | 897.{{overline|7}}
| 897.{{overline|7}}
| | 26244/15625
|  
| | 42/25
| [[26244/15625]]
| | 42/25
| [[42/25]]
| | 42/25
| "
| "
| "
| "
|-
|-
| | 203
| 203
| | 902.{{overline|2}}
| 902.{{overline|2}}
| | 2048/1215
|  
| | 2048/1215
| [[2048/1215]]
| | 165/98
| "
| | 91/54
| [[165/98]]
| [[91/54]]
| '''[[32/19]]'''
| "
|-
|-
| | 204
| 204
| | 906.{{overline|6}}
| 906.{{overline|6}}
| | 27/16
| M6
| | 27/16
| [[27/16]]
| | 27/16
| "
| | 27/16
| "
| "
| "
| "
|-
|-
| | 205
| 205
| | 911.{{overline|1}}
| 911.{{overline|1}}
| | 100000/59049
|  
| | 320/189
| [[100000/59049]]
| | 320/189
| [[320/189]]
| | 22/13
| "
| [[22/13]]
| "
| "
|-
|-
| | 206
| 206
| | 915.{{overline|5}}
| 915.{{overline|5}}
| | 15625/9216
|  
| | 6075/3584
| [[15625/9216]]
| | 56/33
| [[6075/3584]]
| | 56/33
| [[56/33]]
| "
| ([[39/23]])
| "
|-
|-
| | 207
| 207
| | 920.0
| 920.0
| | 531441/312500
|  
| | 245/144
| [[531441/312500]]
| | 245/144
| [[245/144]]
| | 143/84
| "
| [[143/84]]
| [[17/10]]
| "
|-
|-
| | 208
| 208
| | 924.{{overline|4}}
| 924.{{overline|4}}
| | 128/75
|  
| | 128/75
| [[128/75]]
| | 75/44
| "
| | 75/44
| [[75/44]]
| "
| "
| [[29/17]]
|-
|-
| | 209
| 209
| | 928.{{overline|8}}
| 928.{{overline|8}}
| | 2187/1280
|  
| | 875/512
| [[2187/1280]]
| | 77/45
| [[875/512]]
| | 77/45
| [[77/45]]
| "
| [[65/38]]
| "
|-
|-
| | 210
| 210
| | 933.{{overline|3}}
| 933.{{overline|3}}
| | 1250/729
|  
| | 12/7
| [[1250/729]]
| | 12/7
| [[12/7]]
| | 12/7
| "
| "
| "
| "
|-
|-
| | 211
| 211
| | 937.{{overline|7}}
| 937.{{overline|7}}
| | 28125/16384
| sd7
| | 5376/3125
| ''[[28125/16384]]''
| | 55/32
| [[5376/3125]]
| | 55/32
| [[55/32]]
| "
| "
| "
|-
|-
| | 212
| 212
| | 942.{{overline|2}}
| 942.{{overline|2}}
| | 262144/151875
|  
| | 441/256
| ''[[262144/151875]]''
| | 441/256
| [[441/256]]
| | 112/65
| "
| [[112/65]]
| ([[69/40]])
| [[31/18]]
|-
|-
| | 213
| 213
| | 946.{{overline|6}}
| 946.{{overline|6}}
| | 216/125
|  
| | 140/81
| [[216/125]]
| | 121/70
| [[140/81]]
| | 121/70
| [[121/70]]
| "
| [[19/11]]
| "
|-
|-
| | 214
| 214
| | 951.{{overline|1}}
| 951.{{overline|1}}
| | 102400/59049
|  
| | 8192/4725
| [[102400/59049]]
| | 343/198
| [[8192/4725]]
| | 26/15
| [[343/198]]
| [[26/15]]
| "
| "
|-
|-
| | 215
| 215
| | 955.{{overline|5}}
| 955.{{overline|5}}
| | 125/72
|  
| | 125/72
| [[125/72]]
| | 125/72
| "
| | 125/72
| "
| "
| [[33/19]]
| "
|-
|-
| | 216
| 216
| | 960.0
| 960.0
| | 455625/262144
|  
| | 256/147
| ''[[455625/262144]]''
| | 256/147
| [[256/147]]
| | 195/112
| "
| [[195/112]]
| ([[40/23]])
| [[54/31]]
|-
|-
| | 217
| 217
| | 964.{{overline|4}}
| 964.{{overline|4}}
| | 16384/9375
|  
| | 3125/1792
| [[16384/9375]]
| | 96/55
| [[3125/1792]]
| | 96/55
| [[96/55]]
| "
| [[68/39]]
| "
|-
|-
| | 218
| 218
| | 968.{{overline|8}}
| 968.{{overline|8}}
| | 2187/1250
|  
| | 7/4
| [[2187/1250]]
| | 7/4
| '''[[7/4]]'''
| | 7/4
| "
| "
| "
| "
|-
|-
| | 219
| 219
| | 973.{{overline|3}}
| 973.{{overline|3}}
| | 1280/729
|  
| | 1280/729
| [[1280/729]]
| | 135/77
| "
| | 135/77
| [[135/77]]
| "
| [[100/57]]
| "
|-
|-
| | 220
| 220
| | 977.{{overline|7}}
| 977.{{overline|7}}
| | 225/128
|  
| | 225/128
| [[225/128]]
| | 44/25
| "
| | 44/25
| [[44/25]]
| "
| "
| "
|-
|-
| | 221
| 221
| | 982.{{overline|2}}
| 982.{{overline|2}}
| | 312500/177147
|  
| | 432/245
| [[312500/177147]]
| | 432/245
| [[432/245]]
| | 143/81
| "
| [[143/81]]
| [[30/17]]
| "
|-
|-
| | 222
| 222
| | 986.{{overline|6}}
| 986.{{overline|6}}
| | 27648/15625
|  
| | 3584/2025
| [[27648/15625]]
| | 99/56
| [[3584/2025]]
| | 99/56
| [[99/56]]
| "
| ([[23/13]])
| "
|-
|-
| | 223
| 223
| | 991.{{overline|1}}
| 991.{{overline|1}}
| | 177147/100000
|  
| | 567/320
| [[177147/100000]]
| | 567/320
| [[567/320]]
| | 39/22
| "
| [[39/22]]
| "
| "
|-
|-
| | 224
| 224
| | 995.{{overline|5}}
| 995.{{overline|5}}
| | 16/9
| m7
| | 16/9
| [[16/9]]
| | 16/9
| "
| | 16/9
| "
| "
| "
| "
|-
|-
| | 225
| 225
| | 1000.0
| 1000.0
| | 3645/2048
|  
| | 3645/2048
| [[3645/2048]]
| | 98/55
| "
| | 98/55
| [[98/55]]
| "
| [[57/32]]
| "
|-
|-
| | 226
| 226
| | 1004.{{overline|4}}
| 1004.{{overline|4}}
| | 15625/8748
|  
| | 25/14
| [[15625/8748]]
| | 25/14
| [[25/14]]
| | 25/14
| "
| "
| "
| "
|-
|-
| | 227
| 227
| | 1008.{{overline|8}}
| 1008.{{overline|8}}
| | 139968/78125
|  
| | 224/125
| [[139968/78125]]
| | 224/125
| [[224/125]]
| | 224/125
| "
| "
| [[34/19]]
| "
|-
|-
| | 228
| 228
| | 1013.{{overline|3}}
| 1013.{{overline|3}}
| | 32768/18225
|  
| | 3675/2048
| ''[[32768/18225]]''
| | 88/49
| [[3675/2048]]
| | 70/39
| [[88/49]]
| [[70/39]]
| "
| "
|-
|-
| | 229
| 229
| | 1017.{{overline|7}}
| 1017.{{overline|7}}
| | 9/5
|  
| | 9/5
| [[9/5]]
| | 9/5
| "
| | 9/5
| "
| "
| "
| "
|-
|-
| | 230
| 230
| | 1022.{{overline|2}}
| 1022.{{overline|2}}
| | 59049/32768
|  
| | 1024/567
| ''[[59049/32768]]''
| | 231/128
| [[1024/567]]
| | 65/36
| [[231/128]]
| [[65/36]]
| "
| [[56/31]]
|-
|-
| | 231
| 231
| | 1026.{{overline|6}}
| 1026.{{overline|6}}
| | 3125/1728
|  
| | 405/224
| [[3125/1728]]
| | 405/224
| [[405/224]]
| | 405/224
| "
| "
| [[38/21]]
| "
|-
|-
| | 232
| 232
| | 1031.{{overline|1}}
| 1031.{{overline|1}}
| | 708588/390625
|  
| | 49/27
| [[708588/390625]]
| | 49/27
| [[49/27]]
| | 49/27
| "
| "
| "
| '''[[29/16]]'''
|-
|-
| | 233
| 233
| | 1035.{{overline|5}}
| 1035.{{overline|5}}
| | 2048/1125
|  
| | 2048/1125
| [[2048/1125]]
| | 20/11
| "
| | 20/11
| [[20/11]]
| "
| "
| "
|-
|-
| | 234
| 234
| | 1040.0
| 1040.0
| | 729/400
|  
| | 175/96
| [[729/400]]
| | 175/96
| [[175/96]]
| | 175/96
| "
| "
| [[51/28]]
| [[31/17]]
|-
|-
| | 235
| 235
| | 1044.{{overline|4}}
| 1044.{{overline|4}}
| | 4000/2187
|  
| | 64/35
| [[4000/2187]]
| | 64/35
| [[64/35]]
| | 64/35
| "
| "
| ([[42/23]])
| "
|-
|-
| | 236
| 236
| | 1048.{{overline|8}}
| 1048.{{overline|8}}
| | 1875/1024
|  
| | 1875/1024
| [[1875/1024]]
| | 11/6
| "
| | 11/6
| [[11/6]]
| "
| "
| "
|-
|-
| | 237
| 237
| | 1053.{{overline|3}}
| 1053.{{overline|3}}
| | 1953125/1062882
| n7
| | 90/49
| [[1953125/1062882]]
| | 90/49
| [[90/49]]
| | 90/49
| "
| "
| (''[[46/25]]'')
| "
|-
|-
| | 238
| 238
| | 1057.{{overline|7}}
| 1057.{{overline|7}}
| | 1152/625
|  
| | 448/243
| [[1152/625]]
| | 81/44
| [[448/243]]
| | 81/44
| [[81/44]]
| "
| [[35/19]]
| "
|-
|-
| | 239
| 239
| | 1062.{{overline|2}}
| 1062.{{overline|2}}
| | 59049/32000
|  
| | 945/512
| [[59049/32000]]
| | 231/125
| [[945/512]]
| | 24/13
| [[231/125]]
| [[24/13]]
| "
| "
|-
|-
| | 240
| 240
| | 1066.{{overline|6}}
| 1066.{{overline|6}}
| | 50/27
|  
| | 50/27
| [[50/27]]
| | 50/27
| "
| | 50/27
| "
| "
| "
| "
|-
|-
| | 241
| 241
| | 1071.{{overline|1}}
| 1071.{{overline|1}}
| | 30375/16384
|  
| | 4096/2205
| ''[[30375/16384]]''
| | 245/132
| [[4096/2205]]
| | 13/7
| [[245/132]]
| [[13/7]]
| "
| "
|-
|-
| | 242
| 242
| | 1075.{{overline|5}}
| 1075.{{overline|5}}
| | 262144/140625
|  
| | 625/336
| ''[[262144/140625]]''
| | 225/121
| [[625/336]]
| | 121/65
| [[225/121]]
| [[121/65]]
| [[95/51]]
| [[54/29]]
|-
|-
| | 243
| 243
| | 1080.0
| 1080.0
| | 5832/3125
|  
| | 28/15
| [[5832/3125]]
| | 28/15
| [[28/15]]
| | 28/15
| "
| "
| "
| "
|-
|-
| | 244
| 244
| | 1084.{{overline|4}}
| 1084.{{overline|4}}
| | 4096/2187
|  
| | 4096/2187
| [[4096/2187]]
| | 144/77
| "
| | 144/77
| [[144/77]]
| "
| "
| [[58/31]]
|-
|-
| | 245
| 245
| | 1088.{{overline|8}}
| 1088.{{overline|8}}
| | 15/8
|  
| | 15/8
| [[15/8]]
| | 15/8
| "
| | 15/8
| "
| "
| "
| "
|-
|-
| | 246
| 246
| | 1093.{{overline|3}}
| 1093.{{overline|3}}
| | 492075/262144
|  
| | 1176/625
| ''[[492075/262144]]''
| | 847/450
| [[1176/625]]
| | 220/117
| [[847/450]]
| [[220/117]]
| '''[[32/17]]'''
| [[62/33]]
|-
|-
| | 247
| 247
| | 1097.{{overline|7}}
| 1097.{{overline|7}}
| | 78125/41472
|  
| | 3375/1792
| [[78125/41472]]
| | 66/35
| [[3375/1792]]
| | 49/26
| [[66/35]]
| [[49/26]]
| "
| "
|-
|-
| | 248
| 248
| | 1102.{{overline|2}}
| 1102.{{overline|2}}
| | 59049/31250
|  
| | 189/100
| [[59049/31250]]
| | 121/64
| [[189/100]]
| | 104/55
| [[121/64]]
| [[104/55]]
| [[17/9]]
| "
|-
|-
| | 249
| 249
| | 1106.{{overline|6}}
| 1106.{{overline|6}}
| | 256/135
|  
| | 256/135
| [[256/135]]
| | 125/66
| "
| | 91/48
| [[125/66]]
| [[91/48]]
| [[36/19]]
| "
|-
|-
| | 250
| 250
| | 1111.{{overline|1}}
| 1111.{{overline|1}}
| | 243/128
| M7
| | 243/128
| [[243/128]]
| | 154/81
| "
| | 154/81
| [[154/81]]
| "
| [[19/10]]
| "
|-
|-
| | 251
| 251
| | 1115.{{overline|5}}
| 1115.{{overline|5}}
| | 12500/6561
|  
| | 40/21
| [[12500/6561]]
| | 40/21
| [[40/21]]
| | 40/21
| "
| "
| "
| "
|-
|-
| | 252
| 252
| | 1120.0
| 1120.0
| | 15625/8192
|  
| | 3584/1875
| [[15625/8192]]
| | 21/11
| [[3584/1875]]
| | 21/11
| [[21/11]]
| "
| "
| "
|-
|-
| | 253
| 253
| | 1124.{{overline|4}}
| 1124.{{overline|4}}
| | 524288/273375
|  
| | 245/128
| ''[[524288/273375]]''
| | 245/128
| [[245/128]]
| | 224/117
| "
| [[224/117]]
| ([[23/12]])
| "
|-
|-
| | 254
| 254
| | 1128.{{overline|8}}
| 1128.{{overline|8}}
| | 48/25
|  
| | 48/25
| [[48/25]]
| | 48/25
| "
| | 48/25
| "
| "
| "
| "
|-
|-
| | 255
| 255
| | 1133.{{overline|3}}
| 1133.{{overline|3}}
| | 19683/10240
|  
| | 7875/4096
| [[19683/10240]]
| | 77/40
| [[7875/4096]]
| | 25/13
| [[77/40]]
| [[25/13]]
| "
| "
|-
|-
| | 256
| 256
| | 1137.{{overline|7}}
| 1137.{{overline|7}}
| | 625/324
|  
| | 27/14
| [[625/324]]
| | 27/14
| [[27/14]]
| | 27/14
| "
| "
| "
| "
|-
|-
| | 257
| 257
| | 1142.{{overline|2}}
| 1142.{{overline|2}}
| | 253125/131072
| sd8
| | 784/405
| ''[[253125/131072]]''
| | 242/125
| [[784/405]]
| | 176/91
| [[242/125]]
| [[176/91]]
| ''[[85/44]]''
| [[29/15]]
|-
|-
| | 258
| 258
| | 1147.{{overline|7}}
| 1146.{{overline|6}}
| | 32768/16875
|  
| | 3969/2048
| [[32768/16875]]
| | 64/33
| [[3969/2048]]
| | 64/33
| [[64/33]]
| "
| [[33/17]]
| '''[[31/16]]'''
|-
|-
| | 259
| 259
| | 1151.{{overline|1}}
| 1151.{{overline|1}}
| | 243/125
|  
| | 35/18
| [[243/125]]
| | 35/18
| [[35/18]]
| | 35/18
| "
| "
| "
| "
|-
|-
| | 260
| 260
| | 1155.{{overline|5}}
| 1155.{{overline|5}}
| | 12800/6561
|  
| | 1024/525
| [[12800/6561]]
| | 150/77
| [[1024/525]]
| | 39/20
| [[150/77]]
| [[39/20]]
| "
| "
|-
|-
| | 261
| 261
| | 1160.0
| 1160.0
| | 125/64
|  
| | 125/64
| [[125/64]]
| | 88/45
| "
| | 88/45
| [[88/45]]
| "
| "
| "
|-
|-
| | 262
| 262
| | 1164.{{overline|4}}
| 1164.{{overline|4}}
| | 3125000/1594323
|  
| | 49/25
| [[3125000/1594323]]
| | 49/25
| [[49/25]]
| | 49/25
| "
| "
| (''[[45/23]]'')
| "
|-
|-
| | 263
| 263
| | 1168.{{overline|8}}
| 1168.{{overline|8}}
| | 6144/3125
|  
| | 6144/3125
| [[6144/3125]]
| | 55/28
| "
| | 55/28
| [[55/28]]
| "
| ''[[51/26]]''
| "
|-
|-
| | 264
| 264
| | 1173.{{overline|3}}
| 1173.{{overline|3}}
| | 19683/10000
|  
| | 63/32
| [[19683/10000]]
| | 63/32
| [[63/32]]
| | 63/32
| "
| "
| "
| "
|-
|-
| | 265
| 265
| | 1177.{{overline|7}}
| 1177.{{overline|7}}
| | 160/81
|  
| | 160/81
| [[160/81]]
| | 160/81
| "
| | 77/39
| "
| [[77/39]]
| [[75/38]]
| "
|-
|-
| | 266
| 266
| | 1182.{{overline|2}}
| 1182.{{overline|2}}
| | 2025/1024
|  
| | 2025/1024
| [[2025/1024]]
| | 99/50
| "
| | 99/50
| [[99/50]]
| "
| ([[91/46]])
| [[87/44]]
|-
|-
| | 267
| 267
| | 1186.{{overline|6}}
| 1186.{{overline|6}}
| | 78125/39366
|  
| | 125/63
| [[78125/39366]]
| | 125/63
| [[125/63]]
| | 125/63
| "
| "
| "
| "
|-
|-
| | 268
| 268
| | 1191.{{overline|1}}
| 1191.{{overline|1}}
| | 31104/15625
|  
| | 448/225
| [[31104/15625]]
| | 175/88
| [[448/225]]
| | 175/88
| [[175/88]]
| "
| "
| "
|-
|-
| | 269
| 269
| | 1195.{{overline|5}}
| 1195.{{overline|5}}
| | 65536/32805
|  
| | 3125/1568
| ''[[65536/32805]]''
| | 768/385
| [[3125/1568]]
| | 648/325
| [[539/270]]
| [[351/176]]
| ''[[255/128]]''
| "
|-
|-
| | 270
| 270
| | 1200.0
| 1200.0
| | 2
| P8
| | 2
| '''[[2/1]]'''
| | 2
| "
| | 2
| "
| "
| "
| "
|}
|}


[[Category:Lists of intervals]]
[[Category:Tables of edo intervals]]
[[Category:11-limit]]
[[Category:13-limit]]
[[Category:270edo]]
[[Category:270edo]]
[[Category:5-limit]]
[[Category:7-limit]]

Latest revision as of 07:46, 30 January 2026

This table of 270edo intervals assumes the 31-limit patent val of 270edo ⟨270 428 647 758 934 999 1104 1147 1221 1312 1338]. Prime harmonics are in bold; inconsistently mapped intervals are in italic. As is analysed in the main article, besides being a strong 13-limit system, 270edo can be used in the full 23-limit with a handful of inconsistencies into the 27-odd-limit, or as a no-17/13 no-23 31-limit system, fully consistent to the 35-odd-limit. For this reason, intervals of 23 are given in parentheses.

# Cents Marks 5-limit 7-limit 11-limit 13-limit 23-limit 31-limit
0 0.0 P1 1/1 " " " " "
1 4.4 32805/32768 3136/3125 385/384 " " "
2 8.8 15625/15552 225/224 176/175 196/195 " "
3 13.3 78732/78125 126/125 " " " "
4 17.7 2048/2025 " 99/98 " " "
5 22.2 81/80 " " 78/77 " "
6 26.6 20000/19683 64/63 " 65/64 " "
7 31.1 3125/3072 " 56/55 " " "
8 35.5 1594323/1562500 49/48 " " " "
9 40.0 128/125 " 45/44 " " "
10 44.4 6561/6400 525/512 77/75 40/39 39/38 "
11 48.8 250/243 36/35 " " " "
12 53.3 16875/16384 4096/3969 33/32 " " 32/31
13 57.7 sA1 262144/253125 405/392 125/121 91/88 " 30/29
14 62.2 648/625 28/27 " " " "
15 66.6 20480/19683 8192/7875 80/77 26/25 " "
16 71.1 25/24 " " " " "
17 75.5 273375/262144 256/245 " 117/112 (23/22) "
18 80.0 16384/15625 1875/1792 22/21 " " "
19 84.4 6561/6250 21/20 " " " "
20 88.8 m2 256/243 " 81/77 " 20/19 "
21 93.3 135/128 " 132/125 96/91 19/18 "
22 97.7 62500/59049 200/189 128/121 55/52 18/17 "
23 102.2 78125/73728 3584/3375 35/33 " " "
24 106.6 524288/492075 625/588 " 117/110 17/16 "
25 111.1 16/15 " " " " "
26 115.5 A1 2187/2048 " 77/72 " " 31/29
27 120.0 3125/2916 15/14 " " " "
28 124.4 140625/131072 672/625 189/176 130/121 102/95 29/27
29 128.8 32768/30375 2205/2048 264/245 14/13 " "
30 133.3 27/25 " " " " "
31 137.7 64000/59049 1024/945 250/231 13/12 " "
32 142.2 625/576 243/224 88/81 " 38/35 "
33 146.6 n2 2125764/1953125 49/45 " " (25/23) "
34 151.1 2048/1875 " 12/11 " " "
35 155.5 2187/2000 35/32 " " (23/21) "
36 160.0 800/729 192/175 " 169/154 56/51 34/31
37 164.4 1125/1024 " 11/10 " " "
38 168.8 390625/354294 54/49 " " " 32/29
39 173.3 3456/3125 448/405 243/220 " 21/19 "
40 177.7 65536/59049 567/512 256/231 72/65 " 31/28
41 182.2 10/9 " " " " "
42 186.6 18225/16384 4096/3675 49/44 39/35 " "
43 191.1 78125/69984 125/112 " " 19/17 "
44 195.5 17496/15625 28/25 " " " "
45 200.0 4096/3645 " 55/49 " " "
46 204.4 M2 9/8 " " " " "
47 208.8 200000/177147 640/567 " 44/39 " 35/31
48 213.3 15625/13824 2025/1792 112/99 " (26/23) "
49 217.7 177147/156250 245/216 " 143/126 17/15 "
50 222.2 256/225 " 25/22 " " "
51 226.6 729/640 " 154/135 " 57/50 "
52 231.1 2500/2187 8/7 " " " "
53 235.5 sA2 9375/8192 3584/3125 55/48 " 39/34 "
54 240.0 524288/455625 147/128 " " (23/20) 31/27
55 244.4 144/125 " 121/105 " 38/33 "
56 248.8 59049/51200 4725/4096 231/200 15/13 " "
57 253.3 125/108 81/70 " " 22/19 "
58 257.7 151875/131072 512/441 297/256 65/56 " 29/25
59 262.2 32768/28125 3125/2688 64/55 " 57/49 "
60 266.6 729/625 7/6 " " " "
61 271.1 2560/2187 1024/875 90/77 " 76/65 "
62 275.5 75/64 " " " " 34/29
63 280.0 625000/531441 147/125 " " 20/17 "
64 284.4 18432/15625 7168/6075 33/28 " " "
65 288.8 59049/50000 189/160 " 13/11 " "
66 293.3 m3 32/27 " " " " "
67 297.7 1215/1024 " 196/165 108/91 19/16 "
68 302.2 15625/13122 25/21 " " " "
69 306.6 78125/65536 448/375 105/88 " 68/57 31/26
70 311.1 65536/54675 1225/1024 176/147 140/117 91/76 "
71 315.5 6/5 " " " " "
72 320.0 19683/16384 2048/1701 77/64 65/54 " "
73 324.4 3125/2592 135/112 " " 76/63 35/29
74 328.8 472392/390625 98/81 " " (23/19) 29/24
75 333.3 4096/3375 " 40/33 " " "
76 337.7 243/200 175/144 147/121 " 17/14 "
77 342.2 8000/6561 128/105 " 39/32 (28/23) "
78 346.6 625/512 " 11/9 " " "
79 351.1 n3 1953125/1594323 49/40 " " " 38/31
80 355.5 768/625 " 27/22 " " "
81 360.0 19683/16000 315/256 154/125 16/13 " "
82 364.4 100/81 " " " 21/17 "
83 368.8 10125/8192 8192/6615 99/80 26/21 " "
84 373.3 390625/314928 243/196 150/121 " (57/46) 31/25
85 377.7 3888/3125 56/45 " " " "
86 382.2 8192/6561 5103/4096 96/77 81/65 " "
87 386.6 5/4 " " " " "
88 391.1 164025/131072 784/625 441/352 351/280 64/51 "
89 395.5 78125/62208 1125/896 44/35 " " "
90 400.0 19683/15625 63/50 " " 34/27 "
91 404.4 512/405 " 125/99 91/72 24/19 "
92 408.8 M3 81/64 " " " 19/15 "
93 413.3 25000/19683 80/63 " 33/26 " "
94 417.7 15625/12288 7168/5625 14/11 " " "
95 422.2 1048576/820125 125/98 " " (23/18) "
96 426.6 32/25 " " " " "
97 431.1 6561/5120 2625/2048 77/60 50/39 " "
98 435.5 625/486 9/7 " " " "
99 440.0 sd4 84375/65536 1568/1215 165/128 156/121 49/38 40/31
100 444.4 65536/50625 1323/1024 128/99 84/65 22/17 "
101 448.8 162/125 35/27 " " " "
102 453.3 25600/19683 2048/1575 100/77 13/10 " "
103 457.7 125/96 " " " 99/76 "
104 462.2 1366875/1048576 64/49 " " (30/23) "
105 466.6 4096/3125 " 55/42 " 17/13 38/29
106 471.1 6561/5000 21/16 " " " "
107 475.5 320/243 " " 154/117 25/19 "
108 480.0 675/512 " 33/25 " " 29/22
109 484.4 78125/59049 250/189 160/121 143/108 45/34 "
110 488.8 20736/15625 896/675 175/132 65/49 " "
111 493.3 131072/98415 1701/1280 512/385 117/88 85/64 "
112 497.7 P4 4/3 " " " " "
113 502.2 10935/8192 8192/6125 147/110 " 91/68 "
114 506.6 15625/11664 75/56 " " " "
115 511.1 104976/78125 168/125 121/90 " 51/38 39/29
116 515.5 8192/6075 " 66/49 35/26 " "
117 520.0 27/20 " " " (23/17) "
118 524.4 80000/59049 256/189 " 65/48 " 42/31
119 528.8 3125/2304 1215/896 110/81 " 19/14 "
120 533.3 531441/390625 49/36 " " 34/25 "
121 537.7 512/375 " 15/11 " " "
122 542.2 2187/1600 175/128 " 160/117 26/19 "
123 546.6 1000/729 48/35 " " " "
124 551.1 5625/4096 " 11/8 " " "
125 555.5 sA4 1048576/759375 135/98 " 91/66 (69/50) 40/29
126 560.0 864/625 112/81 " " 105/76 29/21
127 564.4 81920/59049 2835/2048 320/231 18/13 " "
128 568.8 25/18 " " " " "
129 573.3 91125/65536 1024/735 245/176 39/28 (32/23) "
130 577.7 65536/46875 625/448 88/63 " " "
131 582.2 4374/3125 7/5 " " " "
132 586.6 d5 1024/729 " 108/77 " 80/57 "
133 591.1 45/32 " " " 38/27 "
134 595.5 250000/177147 343/243 " 55/39 24/17 "
135 600.0 78125/55296 10125/7168 99/70 " " "
136 604.4 177147/125000 486/343 343/242 78/55 17/12 "
137 608.8 64/45 " " " 27/19 "
138 613.3 A4 729/512 " 77/54 " 57/40 "
139 617.7 3125/2187 10/7 " " " "
140 622.2 46875/32768 896/625 63/44 " " "
141 626.6 131072/91125 735/512 352/245 56/39 (23/16) "
142 631.1 36/25 " " " " "
143 635.5 59049/40960 4096/2835 231/160 13/9 " "
144 640.0 625/432 81/56 " " " 42/29
145 644.4 sd5 759375/524288 196/135 " 132/91 (100/69) 29/20
146 648.8 8192/5625 " 16/11 " " "
147 653.3 729/500 35/24 " " " "
148 657.7 3200/2187 256/175 225/154 117/80 19/13 "
149 662.2 375/256 " 22/15 " " "
150 666.6 781250/531441 72/49 " " 25/17 "
151 671.1 4608/3125 1792/1215 81/55 " 28/19 "
152 675.5 59049/40000 189/128 " 65/44 " 31/21
153 680.0 40/27 " " " (34/23) "
154 684.4 6075/4096 " 49/33 " " "
155 688.8 78125/52488 125/84 " " 76/51 58/39
156 693.3 23328/15625 112/75 " " 85/57 "
157 697.7 16384/10935 6125/4096 220/147 175/117 136/91 "
158 702.2 P5 3/2 " " " " "
159 706.6 98415/65536 2560/1701 385/256 176/117 128/85 "
160 711.1 15625/10368 675/448 264/175 98/65 95/63 "
161 715.5 118098/78125 189/125 121/80 " 68/45 "
162 720.0 1024/675 " 50/33 " " 44/29
163 724.4 243/160 " " 117/77 38/25 "
164 728.8 10000/6561 32/21 " " " "
165 733.3 3125/2048 " 55/36 " 26/17 29/19
166 737.7 2097152/1366875 49/32 " " (23/15) "
167 742.2 192/125 " 135/88 " " "
168 746.6 19683/12800 1575/1024 77/50 20/13 " "
169 751.1 125/81 54/35 " " " "
170 755.5 50625/32768 2048/1323 99/64 65/42 17/11 "
171 760.0 sA5 131072/84375 1215/784 256/165 121/78 76/49 31/20
172 764.4 972/625 14/9 " " " "
173 768.8 10240/6561 4096/2625 120/77 39/25 " "
174 773.3 25/16 " " " " "
175 777.7 820125/524288 196/125 " " (36/23) "
176 782.2 24576/15625 5625/3584 11/7 " " "
177 786.6 19683/12500 63/40 " 52/33 " "
178 791.1 m6 128/81 " " " 30/19 "
179 795.5 405/256 " 198/125 144/91 19/12 "
180 800.0 31250/19683 100/63 " " 27/17 "
181 804.4 78125/49152 1792/1125 35/22 " " "
182 808.8 262144/164025 625/392 " 351/220 51/32 "
183 813.3 8/5 " " " " "
184 817.7 6561/4096 " 77/48 " " "
185 822.2 3125/1944 45/28 " " " "
186 826.6 421875/262144 392/243 121/75 " (92/57) 29/18
187 831.1 16384/10125 6615/4096 160/99 21/13 " "
188 835.5 81/50 " " " 34/21 "
189 840.0 32000/19683 512/315 125/77 13/8 " "
190 844.4 625/384 " 44/27 " " "
191 848.8 n6 3188646/1953125 49/30 " " " 31/19
192 853.3 1024/625 " 18/11 " " "
193 857.7 6561/4000 105/64 " 64/39 (23/14) "
194 862.2 400/243 288/175 242/147 " 28/17 "
195 866.6 3375/2048 " 33/20 " " "
196 871.1 390625/236196 81/49 " " (38/23) 48/29
197 875.5 5184/3125 224/135 " " 63/38 58/35
198 880.0 32768/19683 1701/1024 128/77 108/65 " "
199 884.4 5/3 " " " " "
200 888.8 54675/32768 2048/1225 147/88 117/70 " "
201 893.3 78125/46656 375/224 176/105 " 57/34 52/31
202 897.7 26244/15625 42/25 " " " "
203 902.2 2048/1215 " 165/98 91/54 32/19 "
204 906.6 M6 27/16 " " " " "
205 911.1 100000/59049 320/189 " 22/13 " "
206 915.5 15625/9216 6075/3584 56/33 " (39/23) "
207 920.0 531441/312500 245/144 " 143/84 17/10 "
208 924.4 128/75 " 75/44 " " 29/17
209 928.8 2187/1280 875/512 77/45 " 65/38 "
210 933.3 1250/729 12/7 " " " "
211 937.7 sd7 28125/16384 5376/3125 55/32 " " "
212 942.2 262144/151875 441/256 " 112/65 (69/40) 31/18
213 946.6 216/125 140/81 121/70 " 19/11 "
214 951.1 102400/59049 8192/4725 343/198 26/15 " "
215 955.5 125/72 " " " 33/19 "
216 960.0 455625/262144 256/147 " 195/112 (40/23) 54/31
217 964.4 16384/9375 3125/1792 96/55 " 68/39 "
218 968.8 2187/1250 7/4 " " " "
219 973.3 1280/729 " 135/77 " 100/57 "
220 977.7 225/128 " 44/25 " " "
221 982.2 312500/177147 432/245 " 143/81 30/17 "
222 986.6 27648/15625 3584/2025 99/56 " (23/13) "
223 991.1 177147/100000 567/320 " 39/22 " "
224 995.5 m7 16/9 " " " " "
225 1000.0 3645/2048 " 98/55 " 57/32 "
226 1004.4 15625/8748 25/14 " " " "
227 1008.8 139968/78125 224/125 " " 34/19 "
228 1013.3 32768/18225 3675/2048 88/49 70/39 " "
229 1017.7 9/5 " " " " "
230 1022.2 59049/32768 1024/567 231/128 65/36 " 56/31
231 1026.6 3125/1728 405/224 " " 38/21 "
232 1031.1 708588/390625 49/27 " " " 29/16
233 1035.5 2048/1125 " 20/11 " " "
234 1040.0 729/400 175/96 " " 51/28 31/17
235 1044.4 4000/2187 64/35 " " (42/23) "
236 1048.8 1875/1024 " 11/6 " " "
237 1053.3 n7 1953125/1062882 90/49 " " (46/25) "
238 1057.7 1152/625 448/243 81/44 " 35/19 "
239 1062.2 59049/32000 945/512 231/125 24/13 " "
240 1066.6 50/27 " " " " "
241 1071.1 30375/16384 4096/2205 245/132 13/7 " "
242 1075.5 262144/140625 625/336 225/121 121/65 95/51 54/29
243 1080.0 5832/3125 28/15 " " " "
244 1084.4 4096/2187 " 144/77 " " 58/31
245 1088.8 15/8 " " " " "
246 1093.3 492075/262144 1176/625 847/450 220/117 32/17 62/33
247 1097.7 78125/41472 3375/1792 66/35 49/26 " "
248 1102.2 59049/31250 189/100 121/64 104/55 17/9 "
249 1106.6 256/135 " 125/66 91/48 36/19 "
250 1111.1 M7 243/128 " 154/81 " 19/10 "
251 1115.5 12500/6561 40/21 " " " "
252 1120.0 15625/8192 3584/1875 21/11 " " "
253 1124.4 524288/273375 245/128 " 224/117 (23/12) "
254 1128.8 48/25 " " " " "
255 1133.3 19683/10240 7875/4096 77/40 25/13 " "
256 1137.7 625/324 27/14 " " " "
257 1142.2 sd8 253125/131072 784/405 242/125 176/91 85/44 29/15
258 1146.6 32768/16875 3969/2048 64/33 " 33/17 31/16
259 1151.1 243/125 35/18 " " " "
260 1155.5 12800/6561 1024/525 150/77 39/20 " "
261 1160.0 125/64 " 88/45 " " "
262 1164.4 3125000/1594323 49/25 " " (45/23) "
263 1168.8 6144/3125 " 55/28 " 51/26 "
264 1173.3 19683/10000 63/32 " " " "
265 1177.7 160/81 " " 77/39 75/38 "
266 1182.2 2025/1024 " 99/50 " (91/46) 87/44
267 1186.6 78125/39366 125/63 " " " "
268 1191.1 31104/15625 448/225 175/88 " " "
269 1195.5 65536/32805 3125/1568 539/270 351/176 255/128 "
270 1200.0 P8 2/1 " " " " "
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