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List of 47-odd-limit intervals: Difference between revisions

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Line 1: Line 1:
The 47-limit. Whoa.
The 47-odd-limit. Whoa.


Here is a list of the intervals within the octave belonging to the 47-[[Odd_limit|odd limit]] -- that is, intervals between 1/1 and 2/1 which contain no odd numbers greater than 47. It is organized by [[interval_category|interval category]] according to the Schulter System outlined in [http://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum].
Here is a list of the intervals within the octave belonging to the 47-[[Odd_limit|odd limit]] -- that is, intervals between 1/1 and 2/1 which contain no odd numbers greater than 47. It is organized by [[interval_category|interval category]] according to the Schulter System outlined in [http://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum].
Line 21: Line 21:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 48/47
| 48/47
| | 36.448
| 36.448
| | 47
| 47
|-
|-
| | 47/46
| 47/46
| | 37.232
| 37.232
| | 47
| 47
|-
|-
| | 46/45
| 46/45
| | 38.051
| 38.051
| | 23
| 23
|-
|-
| | 45/44
| [[45/44]]
| | 38.906
| 38.906
| | 11
| 11
|-
|-
| | 44/43
| 44/43
| | 39.800
| 39.800
| | 43
| 43
|-
|-
| | 43/42
| 43/42
| | 40.737
| 40.737
| | 43
| 43
|-
|-
| | 42/41
| 42/41
| | 41.719
| 41.719
| | 41
| 41
|-
|-
| | 41/40
| 41/40
| | 42.749
| 42.749
| | 41
| 41
|-
|-
| | 40/39
| [[40/39]]
| | 43.831
| 43.831
| | 13
| 13
|-
|-
| | 39/38
| 39/38
| | 44.970
| 44.970
| | 19
| 19
|-
|-
| | 38/37
| 38/37
| | 46/169
| 46/169
| | 37
| 37
|-
|-
| | 37/36
| 37/36
| | 47.434
| 47.434
| | 37
| 37
|-
|-
| | 36/35
| [[36/35]]
| | 48.770
| 48.770
| | 7
| 7
|-
|-
| | 35/34
| 35/34
| | 50.184
| 50.184
| | 17
| 17
|-
|-
| | 34/33
| 34/33
| | 51.682
| 51.682
| | 17
| 17
|-
|-
| | 33/32
| [[33/32]]
| | 53.273
| 53.273
| | 11
| 11
|-
|-
| | 32/31
| [[32/31]]
| | 54.964
| 54.964
| | 31
| 31
|-
|-
| | 31/30
| [[31/30]]
| | 56.767
| 56.767
| | 31
| 31
|-
|-
| | 30/29
| 30/29
| | 58.692
| 58.692
| | 29
| 29
|}
|}


Line 108: Line 108:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 29/28
| 29/28
| | 60.751
| 60.751
| | 29
| 29
|-
|-
| | 28/27
| [[28/27]]
| | 62.961
| 62.961
| | 7
| 7
|-
|-
| | 27/26
| [[27/26]]
| | 65.337
| 65.337
| | 13
| 13
|-
|-
| | 26/25
| [[26/25]]
| | 67.900
| 67.900
| | 13
| 13
|-
|-
| | 25/24
| [[25/24]]
| | 70.672
| 70.672
| | 5
| 5
|-
|-
| | 24/23
| [[24/23]]
| | 73.681
| 73.681
| | 23
| 23
|-
|-
| | 47/45
| 47/45
| | 75.283
| 75.283
| | 47
| 47
|-
|-
| | 23/22
| [[23/22]]
| | 76.956
| 76.956
| | 23
| 23
|-
|-
| | 45/43
| 45/43
| | 78.706
| 78.706
| | 43
| 43
|}
|}


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{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 22/21
| [[22/21]]
| | 80.537
| 80.537
| | 11
| 11
|-
|-
| | 43/41
| 43/41
| | 82.455
| 82.455
| | 43
| 43
|-
|-
| | 21/20
| [[21/20]]
| | 84.467
| 84.467
| | 7
| 7
|-
|-
| | 41/39
| 41/39
| | 86.580
| 86.580
| | 41
| 41
|-
|-
| | 20/19
| [[20/19]]
| | 88.801
| 88.801
| | 19
| 19
|-
|-
| | 39/37
| 39/37
| | 91.139
| 91.139
| | 37
| 37
|-
|-
| | 19/18
| [[19/18]]
| | 93.603
| 93.603
| | 19
| 19
|-
|-
| | 37/35
| 37/35
| | 96.204
| 96.204
| | 37
| 37
|-
|-
| | 18/17
| [[18/17]]
| | 98.955
| 98.955
| | 17
| 17
|}
|}


Line 198: Line 198:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 35/33
| 35/33
| | 101.867
| 101.867
| | 11
| 11
|-
|-
| | 17/16
| 17/16
| | 104.955
| 104.955
| | 17
| 17
|-
|-
| | 50/47
| 50/47
| | 107.121
| 107.121
| | 47
| 47
|-
|-
| | 33/31
| 33/31
| | 108.237
| 108.237
| | 31
| 31
|-
|-
| | 16/15 = 48/45
| 16/15 = 48/45
| | 111.731
| 111.731
| | 5
| 5
|-
|-
| | 47/44
| 47/44
| | 114.189
| 114.189
| | 47
| 47
|-
|-
| | 31/29
| 31/29
| | 115.458
| 115.458
| | 31
| 31
|-
|-
| | 46/43
| 46/43
| | 116.757
| 116.757
| | 43
| 43
|-
|-
| | 15/14 = 45/42
| 15/14 = 45/42
| | 119.443
| 119.443
| | 7
| 7
|-
|-
| | 44/41
| 44/41
| | 122.256
| 122.256
| | 41
| 41
|-
|-
| | 29/27
| 29/27
| | 123.712
| 123.712
| | 29
| 29
|}
|}


==Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)==
==Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)==


===Small Central Seconds (125-170 cents)===
===Small Central Seconds (125-135 cents)===


{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 43/40
| 43/40
| | 125.204
| 125.204
| | 43
| 43
|-
|-
| | 14/13 = 42/39
| 14/13 = 42/39
| | 128.298
| 128.298
| | 13
| 13
|-
|-
| | 41/38
| 41/38
| | 131.549
| 131.549
| | 41
| 41
|-
|-
| | 27/25
| 27/25
| | 133.238
| 133.238
| | 5
| 5
|-
|-
| | 40/37
| 40/37
| | 134.970
| 134.970
| | 37
| 37
|}
|}


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{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 13/12 = 39/36
| 13/12 = 39/36
| | 138.573
| 138.573
| | 13
| 13
|-
|-
| | 38/35
| 38/35
| | 142.373
| 142.373
| | 19
| 19
|-
|-
| | 25/23
| 25/23
| | 144.353
| 144.353
| | 23
| 23
|-
|-
| | 37/34
| 37/34
| | 146.389
| 146.389
| | 37
| 37
|-
|-
| | 12/11 = 36/33
| 12/11 = 36/33
| | 150.637
| 150.637
| | 11
| 11
|-
|-
| | 47/43
| 47/43
| | 153.989
| 153.989
| | 47
| 47
|-
|-
| | 35/32
| 35/32
| | 155.140
| 155.140
| | 7
| 7
|-
|-
| | 23/21
| 23/21
| | 157.493
| 157.493
| | 23
| 23
|-
|-
| | 34/31
| 34/31
| | 159.920
| 159.920
| | 31
| 31
|}
|}


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{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 45/41
| 45/41
| | 161.161
| 161.161
| | 41
| 41
|-
|-
| | 11/10 = 33/30
| 11/10 = 33/30
| | 165.004
| 165.004
| | 11
| 11
|-
|-
| | 43/39
| 43/39
| | 169.035
| 169.035
| | 43
| 43
|}
|}


Line 350: Line 350:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 32/29
| 32/29
| | 170.423
| 170.423
| | 29
| 29
|-
|-
| | 21/19
| 21/19
| | 173.268
| 173.268
| | 19
| 19
|-
|-
| | 52/47
| 52/47
| | 175.021
| 175.021
| | 47
| 47
|-
|-
| | 31/28
| 31/28
| | 176.210
| 176.210
| | 31
| 31
|-
|-
| | 41/37
| 41/37
| | 177.718
| 177.718
| | 41
| 41
|}
|}


Line 383: Line 383:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 10/9 = 30/27 = 50/45
| 10/9 = 30/27 = 50/45
| | 182.404
| 182.404
| | 5
| 5
|-
|-
| | 39/35
| 39/35
| | 187.343
| 187.343
| | 13
| 13
|-
|-
| | 29/26
| 29/26
| | 189.050
| 189.050
| | 29
| 29
|-
|-
| | 19/17
| 19/17
| | 192.558
| 192.558
| | 19
| 19
|-
|-
| | 47/42
| 47/42
| | 194.726
| 194.726
| | 47
| 47
|-
|-
| | 28/25
| 28/25
| | 196.198
| 196.198
| | 7
| 7
|-
|-
| | 37/33
| 37/33
| | 198.071
| 198.071
| | 37
| 37
|-
|-
| | 46/41
| 46/41
| | 199.212
| 199.212
| | 41
| 41
|}
|}


Line 424: Line 424:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 9/8 = 27/24 = 45/40
| 9/8 = 27/24 = 45/40
| | 203.910
| 203.910
| | 3
| 3
|-
|-
| | 44/39
| 44/39
| | 208.835
| 208.835
| | 13
| 13
|-
|-
| | 35/31
| 35/31
| | 210.104
| 210.104
| | 31
| 31
|-
|-
| | 26/23
| 26/23
| | 212.253
| 212.253
| | 23
| 23
|-
|-
| | 43/38
| 43/38
| | 214.005
| 214.005
| | 43
| 43
|-
|-
| | 17/15
| 17/15
| | 216.687
| 216.687
| | 17
| 17
|-
|-
| | 42/37
| 42/37
| | 219.437
| 219.437
| | 37
| 37
|}
|}


Line 461: Line 461:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 25/22
| 25/22
| | 221.309
| 221.309
| | 11
| 11
|-
|-
| | 33/29
| 33/29
| | 223.696
| 223.696
| | 29
| 29
|-
|-
| | 41/36
| 41/36
| | 225.152
| 225.152
| | 41
| 41
|-
|-
| | 8/7 = 24/21 = 40/35
| 8/7 = 24/21 = 40/35
| | 231.174
| 231.174
| | 7
| 7
|-
|-
| | 47/41
| 47/41
| | 236.444
| 236.444
| | 47
| 47
|-
|-
| | 39/34
| 39/34
| | 237.527
| 237.527
| | 17
| 17
|-
|-
| | 31/27
| 31/27
| | 239.171
| 239.171
| | 31
| 31
|}
|}


Line 498: Line 498:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 54/47
| 54/47
| | 240.358
| 240.358
| | 47
| 47
|-
|-
| | 23/20
| 23/20
| | 241.961
| 241.961
| | 23
| 23
|-
|-
| | 38/33
| 38/33
| | 244.240
| 244.240
| | 19
| 19
|-
|-
| | 15/13 = 45/39
| 15/13 = 45/39
| | 247.741
| 247.741
| | 13
| 13
|-
|-
| | 52/45
| 52/45
| | 250.304
| 250.304
| | 13
| 13
|-
|-
| | 37/32
| 37/32
| | 251.344
| 251.344
| | 37
| 37
|-
|-
| | 22/19
| 22/19
| | 253.805
| 253.805
| | 19
| 19
|-
|-
| | 29/25
| 29/25
| | 256.950
| 256.950
| | 29
| 29
|-
|-
| | 36/31
| 36/31
| | 258.874
| 258.874
| | 31
| 31
|}
|}


Line 545: Line 545:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 43/37
| 43/37
| | 260.174
| 260.174
| | 43
| 43
|-
|-
| | 50/43
| 50/43
| | 261.110
| 261.110
| | 43
| 43
|-
|-
| | 7/6 = 21/18 = 35/30
| 7/6 = 21/18 = 35/30
| | 266.871
| 266.871
| | 7
| 7
|-
|-
| | 48/41
| 48/41
| | 272.893
| 272.893
| | 41
| 41
|-
|-
| | 41/35
| 41/35
| | 273.923
| 273.923
| | 41
| 41
|-
|-
| | 34/29
| 34/29
| | 275.378
| 275.378
| | 29
| 29
|-
|-
| | 27/23
| 27/23
| | 277.591
| 277.591
| | 23
| 23
|-
|-
| | 47/40
| 47/40
| | 279.193
| 279.193
| | 47
| 47
|}
|}


Line 586: Line 586:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 20/17
| 20/17
| | 281.358
| 281.358
| | 17
| 17
|-
|-
| | 33/28
| 33/28
| | 284.447
| 284.447
| | 11
| 11
|-
|-
| | 46/39
| 46/39
| | 285.792
| 285.792
| | 23
| 23
|-
|-
| | 13/11 = 39/33
| 13/11 = 39/33
| | 289.210
| 289.210
| | 13
| 13
|-
|-
| | 45/38
| 45/38
| | 292.711
| 292.711
| | 19
| 19
|-
|-
| | 32/27
| 32/27
| | 294.135
| 294.135
| | 3
| 3
|-
|-
| | 19/16
| 19/16
| | 297.513
| 297.513
| | 19
| 19
|-
|-
| | 44/37
| 44/37
| | 299.974
| 299.974
| | 37
| 37
|}
|}


Line 627: Line 627:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 25/21
| 25/21
| | 301.847
| 301.847
| | 7
| 7
|-
|-
| | 56/47
| 56/47
| | 303.319
| 303.319
| | 47
| 47
|-
|-
| | 31/26
| 31/26
| | 304.508
| 304.508
| | 31
| 31
|-
|-
| | 37/31
| 37/31
| | 306.308
| 306.308
| | 37
| 37
|-
|-
| | 43/36
| 43/36
| | 307.608
| 307.608
| | 43
| 43
|-
|-
| | 6/5 = 18/15 = 30/25 = 42/35 = 54/45
| 6/5 = 18/15 = 30/25 = 42/35 = 54/45
| | 315.641
| 315.641
| | 5
| 5
|-
|-
| | 47/39
| 47/39
| | 323.024
| 323.024
| | 47
| 47
|-
|-
| | 41/34
| 41/34
| | 324.107
| 324.107
| | 41
| 41
|-
|-
| | 35/29
| 35/29
| | 325.562
| 325.562
| | 29
| 29
|-
|-
| | 29/24
| 29/24
| | 327.622
| 327.622
| | 29
| 29
|-
|-
| | 52/43
| 52/43
| | 329.010
| 329.010
| | 43
| 43
|}
|}


Line 682: Line 682:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 23/19
| 23/19
| | 330.761
| 330.761
| | 23
| 23
|-
|-
| | 40/33
| 40/33
| | 333.041
| 333.041
| | 11
| 11
|-
|-
| | 17/14
| 17/14
| | 336.130
| 336.130
| | 17
| 17
|-
|-
| | 45/37
| 45/37
| | 338.880
| 338.880
| | 37
| 37
|-
|-
| | 28/23
| 28/23
| | 340.552
| 340.552
| | 23
| 23
|}
|}


Line 711: Line 711:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 39/32
| 39/32
| | 342.483
| 342.483
| | 13
| 13
|-
|-
| | 50/41
| 50/41
| | 343.565
| 343.565
| | 41
| 41
|-
|-
| | 11/9 = 33/27
| 11/9 = 33/27
| | 347.408
| 347.408
| | 11
| 11
|-
|-
| | 38/31
| 38/31
| | 352.477
| 352.477
| | 31
| 31
|-
|-
| | 27/22
| 27/22
| | 354.547
| 354.547
| | 11
| 11
|-
|-
| | 43/35
| 43/35
| | 356.378
| 356.378
| | 43
| 43
|-
|-
| | 16/13 = 48/39
| 16/13 = 48/39
| | 359.472
| 359.472
| | 13
| 13
|}
|}


Line 748: Line 748:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 37/30
| 37/30
| | 363.075
| 363.075
| | 37
| 37
|-
|-
| | 58/47
| 58/47
| | 364.071
| 364.071
| | 47
| 47
|-
|-
| | 21/17
| 21/17
| | 365.825
| 365.825
| | 17
| 17
|-
|-
| | 47/38
| 47/38
| | 367.994
| 367.994
| | 47
| 47
|-
|-
| | 26/21
| 26/21
| | 369.747
| 369.747
| | 13
| 13
|}
|}


Line 779: Line 779:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 31/25
| 31/25
| | 372.408
| 372.408
| | 31
| 31
|-
|-
| | 36/29
| 36/29
| | 374.333
| 374.333
| | 29
| 29
|-
|-
| | 41/33
| 41/33
| | 375.789
| 375.789
| | 41
| 41
|-
|-
| | 46/37
| 46/37
| | 376.930
| 376.930
| | 37
| 37
|-
|-
| | 56/45
| 56/45
| | 378.602
| 378.602
| | 7
| 7
|-
|-
| | 5/4 = 15/12 = 25/20 = 35/28 = 45/36
| 5/4 = 15/12 = 25/20 = 35/28 = 45/36
| | 386.314
| 386.314
| | 5
| 5
|-
|-
| | 54/43
| 54/43
| | 394.347
| 394.347
| | 43
| 43
|-
|-
| | 44/35
| 44/35
| | 396.178
| 396.178
| | 11
| 11
|-
|-
| | 39/31
| 39/31
| | 397.447
| 397.447
| | 31
| 31
|-
|-
| | 34/27
| 34/27
| | 399.090
| 399.090
| | 17
| 17
|}
|}


Line 828: Line 828:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 29/23
| 29/23
| | 401.303
| 401.303
| | 29
| 29
|-
|-
| | 24/19
| [[24/19]]
| | 404.442
| 404.442
| | 19
| 19
|-
|-
| | 43/34
| 43/34
| | 406.562
| 406.562
| | 43
| 43
|-
|-
| | 19/15
| [[19/15]]
| | 409.244
| 409.244
| | 19
| 19
|-
|-
| | 52/41
| 52/41
| | 411.465
| 411.465
| | 41
| 41
|-
|-
| | 33/26
| [[33/26]]
| | 412.745
| 412.745
| | 13
| 13
|-
|-
| | 47/37
| [[47/37]]
| | 414.163
| 414.163
| | 47
| 47
|-
|-
| | 14/11 = 42/33
| [[14/11]] = 42/33
| | 417.508
| 417.508
| | 11
| 11
|-
|-
| | 37/29
| [[37/29]]
| | 421.767
| 421.767
| | 37
| 37
|-
|-
| | 60/47
| 60/47
| | 422.762
| 422.762
| | 47
| 47
|}
|}


Line 877: Line 877:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 23/18
| 23/18
| | 424.364
| 424.364
| | 23
| 23
|-
|-
| | 32/25
| 32/25
| | 427.373
| 427.373
| | 5
| 5
|-
|-
| | 41/32
| 41/32
| | 429.062
| 429.062
| | 41
| 41
|-
|-
| | 50/39
| 50/39
| | 430.145
| 430.145
| | 13
| 13
|-
|-
| | 9/7 = 27/21 = 45/35
| 9/7 = 27/21 = 45/35
| | 435.084
| 435.084
| | 7
| 7
|-
|-
| | 58/45
| 58/45
| | 439.353
| 439.353
| | 29
| 29
|}
|}


Line 910: Line 910:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 40/31
| 40/31
| | 441.278
| 441.278
| | 31
| 31
|-
|-
| | 31/24
| 31/24
| | 443.081
| 443.081
| | 31
| 31
|-
|-
| | 22/17
| 22/17
| | 446.363
| 446.363
| | 17
| 17
|-
|-
| | 35/27
| 35/27
| | 449.275
| 449.275
| | 7
| 7
|-
|-
| | 48/37
| 48/37
| | 450.611
| 450.611
| | 37
| 37
|-
|-
| | 13/10 = 39/30
| 13/10 = 39/30
| | 454.214
| 454.214
| | 13
| 13
|-
|-
| | 56/43
| 56/43
| | 457.308
| 457.308
| | 43
| 43
|-
|-
| | 43/33
| 43/33
| | 458.245
| 458.245
| | 43
| 43
|-
|-
| | 30/23
| 30/23
| | 459.994
| 459.994
| | 23
| 23
|-
|-
| | 47/36
| 47/36
| | 461.597
| 461.597
| | 47
| 47
|-
|-
| | 17/13
| 17/13
| | 464.428
| 464.428
| | 17
| 17
|-
|-
| | 38/29
| 38/29
| | 467.936
| 467.936
| | 29
| 29
|}
|}


Line 969: Line 969:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 21/16
| 21/16
| | 470.781
| 470.781
| | 7
| 7
|-
|-
| | 46/35
| 46/35
| | 473.135
| 473.135
| | 23
| 23
|-
|-
| | 25/19
| 25/19
| | 475.114
| 475.114
| | 19
| 19
|-
|-
| | 54/41
| 54/41
| | 476.803
| 476.803
| | 41
| 41
|-
|-
| | 29/22
| 29/22
| | 478.259
| 478.259
| | 29
| 29
|-
|-
| | 62/47
| 62/47
| | 479.529
| 479.529
| | 47
| 47
|-
|-
| | 33/25
| 33/25
| | 480.646
| 480.646
| | 11
| 11
|-
|-
| | 37/28
| 37/28
| | 482.518
| 482.518
| | 37
| 37
|-
|-
| | 41/31
| 41/31
| | 484.027
| 484.027
| | 41
| 41
|-
|-
| | 45/34
| 45/34
| | 485.268
| 485.268
| | 17
| 17
|}
|}


Line 1,018: Line 1,018:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 4/3 = 12/9 = 20/15 = 36/27 = 36/27 = 44/33 = 52/39 = 60/45
| 4/3 = 12/9 = 20/15 = 36/27 = 36/27 = 44/33 = 52/39 = 60/45
| | 498.045
| 498.045
| | 3
| 3
|}
|}


Line 1,031: Line 1,031:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 47/35
| 47/35
| | 510.367
| 510.367
| | 47
| 47
|-
|-
| | 43/32
| 43/32
| | 511.518
| 511.518
| | 43
| 43
|-
|-
| | 39/29
| 39/29
| | 512.905
| 512.905
| | 29
| 29
|-
|-
| | 35/26
| 35/26
| | 514.612
| 514.612
| | 13
| 13
|-
|-
| | 31/23
| 31/23
| | 516.761
| 516.761
| | 31
| 31
|-
|-
| | 58/43
| 58/43
| | 518.059
| 518.059
| | 43
| 43
|-
|-
| | 27/20
| 27/20
| | 519.551
| 519.551
| | 5
| 5
|-
|-
| | 50/37
| 50/37
| | 521.283
| 521.283
| | 37
| 37
|-
|-
| | 23/17
| 23/17
| | 523.319
| 523.319
| | 23
| 23
|-
|-
| | 42/31
| 42/31
| | 525.745
| 525.745
| | 31
| 31
|}
|}


Line 1,080: Line 1,080:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 19/14
| 19/14
| | 528.687
| 528.687
| | 19
| 19
|-
|-
| | 34/25
| 34/25
| | 532.328
| 532.328
| | 17
| 17
|-
|-
| | 64/47
| 64/47
| | 534.493
| 534.493
| | 47
| 47
|-
|-
| | 15/11 = 45/33
| 15/11 = 45/33
| | 536.951
| 536.951
| | 11
| 11
|-
|-
| | 56/41
| 56/41
| | 539.764
| 539.764
| | 41
| 41
|-
|-
| | 41/30
| 41/30
| | 540.794
| 540.794
| | 41
| 41
|-
|-
| | 26/19
| 26/19
| | 543.015
| 543.015
| | 19
| 19
|-
|-
| | 37/27
| 37/27
| | 545.479
| 545.479
| | 37
| 37
|-
|-
| | 48/35
| 48/35
| | 546.815
| 546.815
| | 7
| 7
|-
|-
| | 11/8 = 33/24
| 11/8 = 33/24
| | 551.318
| 551.318
| | 11
| 11
|-
|-
| | 62/45
| 62/45
| | 554.812
| 554.812
| | 31
| 31
|-
|-
| | 40/29
| 40/29
| | 556.737
| 556.737
| | 29
| 29
|-
|-
| | 29/21
| 29/21
| | 558.796
| 558.796
| | 29
| 29
|-
|-
| | 47/34
| 47/34
| | 560.551
| 560.551
| | 47
| 47
|}
|}


Line 1,147: Line 1,147:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 18/13 = 54/39
| 18/13 = 54/39
| | 563.382
| 563.382
| | 13
| 13
|-
|-
| | 43/31
| 43/31
| | 566.382
| 566.382
| | 43
| 43
|-
|-
| | 25/18
| 25/18
| | 568.717
| 568.717
| | 5
| 5
|-
|-
| | 32/23
| 32/23
| | 571.726
| 571.726
| | 23
| 23
|-
|-
| | 39/28
| 39/28
| | 573.657
| 573.657
| | 13
| 13
|-
|-
| | 46/33
| 46/33
| | 575.001
| 575.001
| | 23
| 23
|-
|-
| | 60/43
| 60/43
| | 576.751
| 576.751
| | 43
| 43
|}
|}


Line 1,184: Line 1,184:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 7/5 = 21/15 = 35/25
| 7/5 = 21/15 = 35/25
| | 582.512
| 582.512
| | 7
| 7
|-
|-
| | 66/47
| 66/47
| | 587.766
| 587.766
| | 47
| 47
|-
|-
| | 52/37
| 52/37
| | 589.184
| 589.184
| | 37
| 37
|-
|-
| | 45/32
| 45/32
| | 590.224
| 590.224
| | 5
| 5
|-
|-
| | 38/27
| 38/27
| | 591.648
| 591.648
| | 19
| 19
|-
|-
| | 31/22
| 31/22
| | 593.718
| 593.718
| | 31
| 31
|-
|-
| | 24/17
| 24/17
| | 597.000
| 597.000
| | 17
| 17
|-
|-
| | 41/29
| 41/29
| | 599.485
| 599.485
| | 41
| 41
|-
|-
| | 58/41
| 58/41
| | 600.515
| 600.515
| | 41
| 41
|-
|-
| | 17/12
| 17/12
| | 603.000
| 603.000
| | 17
| 17
|-
|-
| | 44/31
| 44/31
| | 606.282
| 606.282
| | 31
| 31
|-
|-
| | 27/19
| 27/19
| | 608.352
| 608.352
| | 19
| 19
|-
|-
| | 64/45
| 64/45
| | 609.776
| 609.776
| | 5
| 5
|-
|-
| | 37/26
| 37/26
| | 610.816
| 610.816
| | 37
| 37
|-
|-
| | 47/33
| 47/33
| | 612.234
| 612.234
| | 47
| 47
|-
|-
| | 10/7 = 30/21 = 50/35
| 10/7 = 30/21 = 50/35
| | 617.488
| 617.488
| | 7
| 7
|}
|}


Line 1,257: Line 1,257:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | ratio
! ratio
! | cents value
! cents value
! | prime limit
! prime limit
|-
|-
| | 43/30
| 43/30
| | 623.249
| 623.249
| | 43
| 43
|-
|-
| | 33/23
| 33/23
| | 624.999
| 624.999
| | 23
| 23
|-
|-
| | 56/39
| 56/39
| | 626.343
| 626.343
| | 13
| 13
|-
|-
| | 23/16
| 23/16
| | 628.274
| 628.274
| | 23
| 23
|-
|-
| | 36/25
| 36/25
| | 631.283
| 631.283
| | 5
| 5
|-
|-
| | 62/43
| 62/43
| | 633.518
| 633.518
| | 43
| 43
|-
|-
| | 13/9 = 39/27
| 13/9 = 39/27
| | 636.618
| 636.618
| | 13
| 13
|-
|-
| | 68/47
| 68/47
| | 639.449
| 639.449
| | 47
| 47
|}
|}


Line 1,301: Line 1,301:


[[Category:47-limit| ]] <!-- main article -->
[[Category:47-limit| ]] <!-- main article -->
[[Category:Limit]]
[[Category:Odd limit]]
[[Category:Odd Limit]]


[[Category:Todo:add examples]]
{{todo| add examples }}
[[Category:Lists of intervals]]
Retrieved from "https://en.xen.wiki/w/List_of_47-odd-limit_intervals"