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3L 4s: Difference between revisions

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The spectrum looks like this:
The spectrum looks like this:


{| class="wikitable"
{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
|-
! |  
| 2\7 || || || || || || 342.857 || 1 || 1 || 1.000 ||
! |  
! |  
! | g
! | 2g
! | 3g
! | 4g (-1200)
! | comments
|-
|-
| | 1\3
| || || || || || 11\38 || 347.368 || 6 || 5 || 1.200 || Mohaha/ptolemy
| |  
| |  
| | 400.000
| | 800.000
| | 1200.000
| | 400.000
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 9\31 || || 348.387 || 5 || 4 || 1.250 || Mohaha/mohajira
| | 15\46
| |  
| | 391.304
| | 782.609
| | 1173.913
| | 365.217
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 16\55 || 349.091 || 9 || 7 || 1.286 ||  
| | 14\43
| |  
| | 390.698
| | 781.395
| | 1172.093
| | 362.791
| style="text-align:center;" |  
|-
|-
| |  
| || || || 7\24 || || || 350.000 || 4 || 3 || 1.333 ||  
| | 13\40
| |  
| | 390.000
| | 780.000
| | 1170.000
| | 360.000
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 19\65 || 350.769 || 11 || 8 || 1.375 || Mohaha/mohamaq
| | 12\37
| |  
| | 389.189
| | 778.378
| | 1167.568
| | 356.757
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 12\41 || || 351.220 || 7 || 5 || 1.400 || Mohaha/maqamic
| | 11\34
| |  
| | 388.235
| | 776.471
| | 1164.706
| | 352.941
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 17\58 || 351.724 || 10 || 7 || 1.428 || Hemif
| | 10\31
| |  
| | 387.097
| | 774.194
| | 1161.290
| | 348.387
| style="text-align:center;" |  
|-
|-
| |  
| || || 5\17 || || || || 352.941 || 3 || 2 || 1.500 || L/s = 3/2
| |  
| | 19\59
| | 386.441
| | 772.881
| | 1159.322
| | 345.763
| style="text-align:center;" |
|-
|-
| |  
| || || || || || 18\61 || 354.098 || 11 || 7 || 1.571 || Suhajira
| | 9\28
| |  
| | 385.714
| | 771.429
| | 1157.143
| | 342.857
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 13\44 || || 354.545 || 8 || 5 || 1.600 ||  
| | 8\25
| |  
| | 384.000
| | 768.000
| | 1152.000
| | 336.000
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 21\71 || 354.783 || 13 || 8 || 1.625 || Golden suhajira
| |  
| | 23\72
| | 383.333
| | 766.667
| | 1150.000
| | 333.333
| style="text-align:center;" |  
|-
|-
| |  
| || || || 8\27 || || || 355.556 || 5 || 3 || 1.667 || Beatles/ringo
| |  
| | 15\47
| | 382.988
| | 765.957
| | 1148.936
| | 331.915
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 19\64 || 356.250 || 12 || 7 || 1.714 || Beatles
| | 7\22
| |  
| | 381.818
| | 763.636
| | 1145.455
| | 327.273
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 11\37 || || 356.757 || 7 || 4 || 1.750 ||
| |  
| | 13\41
| | 380.488
| | 760.976
| | 1141.463
| | 321.951
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 14\47 || 357.447 || 9 || 5 || 1.800 ||
| |  
| | 19\60
| | 380.000
| | 760.000
| | 1140.000
| | 320.000
| style="text-align:center;" |  
|-
|-
| |  
| || 3\10 || || || || || 360.000 || 2 || 1 || 2.000 || Basic mosh<br>(Generators smaller than this are proper)
| |  
| | 25\79
| | 379.747
| | 759.494
| | 1139.2405
| | 318.987
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 13\43 || 362.264 || 9 || 4 || 2.250 ||
| | 6\19
| |  
| | 378.947
| | 757.895
| | 1136.842
| | 315.789
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 10\33 || || 363.636 || 7 || 3 || 2.333 ||  
| |  
| | 11\35
| | 377.143
| | 754.286
| | 1131.429
| | 308.571
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 17\56 || 364.286 || 12 || 5 || 2.400 ||
| |  
| | 16\51
| | 376.471
| | 752.941
| | 1129.412
| | 305.882
| style="text-align:center;" |  
|-
|-
| |  
| || || || 7\23 || || || 365.217 || 5 || 2 || 2.500 ||  
| | 5\16
| |  
| | 375.000
| | 750.000
| | 1125.000
| | 300.000
| style="text-align:center;" |
|-
|-
| |  
| || || || || || 18\59 || 366.102 || 13 || 5 || 2.600 || Unnamed golden tuning
| |  
| | 24\77
| | 374.026
| | 748.052
| | 1122.078
| | 296.104
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 11\36 || || 366.667 || 8 || 3 || 2.667 ||
| |  
| | 19\61
| | 373.7705
| | 747.541
| | 1121.3115
| | 295.082
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 15\49 || 367.347 || 11 || 4 || 2.750 ||
| |  
| | 14\45
| | 373.333
| | 746.667
| | 1120.000
| | 293.333
| style="text-align:center;" |  
|-
|-
| |  
| || || 4\13 || || || || 369.231 || 3 || 1 || 3.000 || L/s = 3/1
| |  
| | 9\29
| | 372.414
| | 744.828
| | 1117.241
| | 289.655
| style="text-align:center;" |
|-
|-
| |  
| || || || || || 13\42 || 371.429 || 10 || 3 || 3.333 ||
| |  
| | 13\42
| | 371.429
| | 742.857
| | 1114.286
| | 285.714
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 9\29 || || 372.414 || 7 || 2 || 3.500 || Sephiroth
| |  
| | 17\55
| | 370.909
| | 741.818
| | 1112.727
| | 283.636
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 14\45 || 373.333 || 11 || 3 || 3.667 ||
| | 4\13
| |  
| | 369.231
| | 738.462
| | 1107.692
| | 276.923
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = 3</span>
|-
|-
| |  
| || || || 5\16 || || || 375.000 || 4 || 1 || 4.000 ||
| |  
| | 23\75
| | 368.000
| | 736.000
| | 1104.000
| | 272.000
| style="text-align:center;" | <span style="display: block; text-align: center;">
 
</span>
|-
|-
| |  
| || || || || || 11\35 || 377.143 || 9 || 2 || 4.500 || Muggles
| |  
| | 19\62
| | 367.742
| | 735.484
| | 1103.226
| | 270.968
| |  
|-
|-
| |  
| || || || || 6\19 || || 378.947 || 5 || 1 || 5.000 || Magic
| |  
| | 15\49
| | 367.347
| | 734.694
| | 1102.041
| | 269.388
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 7\22 || 381.818 || 6 || 1 || 6.000 ||
| |  
| | 11\36
| | 366.667
| | 733.333
| | 1100.000
| | 266.667
| style="text-align:center;" |  
|-
|-
| |
| 1\3 || || || || || || 400.000 || 1 || 0 || → inf ||
| |
| |
| | 366.256
| | 732.513
| | 1198.77
| | 265.026
| |
|-
| |
| |
| | 7\23
| | 365.217
| | 730.435
| | 1095.652
| | 260.870
| style="text-align:center;" |
|-
| |
| |
| | 17\56
| | 364.286
| | 728.571
| | 1092.857
| | 257.143
| style="text-align:center;" |
|-
| |
| |
| | 10\33
| | 363.636
| | 727.272
| | 1090.909
| | 254.545
| style="text-align:center;" |
|-
| |
| |
| | 13\43
| | 362.791
| | 725.581
| | 1088.372
| | 251.163
| style="text-align:center;" |
|-
| |
| |
| | 16\53
| | 362.264
| | 724.528
| | 1086.7925
| | 249.057
| style="text-align:center;" |
|-
| |
| |
| | 19\63
| | 361.905
| | 723.8095
| | 1085.714
| | 247.619
| style="text-align:center;" |
|-
| |
| | 3\10
| |
| | 360.000
| | 720.000
| | 1080.000
| | 240.000
| style="text-align:center;" | <span style="display: block; text-align: center;">Boundary of propriety</span><span style="display: block; text-align: center;">(generators smaller than this are proper)</span>
|-
| |
| |
| | 38\127
| | 359.055
| | 718.110
| | 1077.165
| | 236.2205
| style="text-align:center;" |
|-
| |
| |
| | 35\117
| | 358.974
| | 717.949
| | 1076.923
| | 235.898
| style="text-align:center;" |
|-
| |
| |
| | 32\107
| | 358.8785
| | 717.757
| | 1076.6355
| | 235.514
| style="text-align:center;" |
|-
| |
| |
| | 29\97
| | 358.763
| | 717.526
| | 1076.289
| | 235.0515
| style="text-align:center;" |
|-
| |
| |
| | 26\87
| | 358.621
| | 717.241
| | 1075.862
| | 234.483
| style="text-align:center;" |
|-
| |
| |
| | 23\77
| | 358.442
| | 716.883
| | 1075.325
| | 233.767
| style="text-align:center;" |
|-
| |
| |
| | 20\67
| | 358.209
| | 716.418
| | 1074.627
| | 232.836
| style="text-align:center;" |
|-
| |
| |
| | 17\57
| | 357.895
| | 715.7895
| | 1073.684
| | 231.579
| style="text-align:center;" |
|-
| |
| |
| | 14\47
| | 357.447
| | 714.894
| | 1072.340
| | 229.787
| style="text-align:center;" |
|-
| |
| |
| | 11\37
| | 356.757
| | 713.514
| | 1070.270
| | 227.027
| style="text-align:center;" |
|-
| |
| |
| |
| | 356.5035
| | 713.007
| | 1069.511
| | 226.014
| |
|-
| |
| |
| | 8\27
| | 355.556
| | 711.111
| | 1066.667
| | 222.222
| style="text-align:center;" |
|-
| |
| |
| |
| | 354.930
| | 709.859
| | 1064.789
| | 219.718
| style="text-align:center;" | <span style="display: block; text-align: center;">Golden mosh</span>
|-
| |
| |
| | 21\71
| | 354.783
| | 709.565
| | 1064.348
| | 219.13
| style="text-align:center;" |
|-
| |
| |
| | 13\44
| | 354.5455
| | 709.091
| | 1063.636
| | 218.182
| style="text-align:center;" |
|-
| |
| |
| |
| | 354.088
| | 708.177
| | 1062.266
| | 216.354
| |
|-
| |
| | 5\17
| |
| | 352.941
| | 705.882
| | 1058.824
| | 211.765
| style="text-align:center;" | <span style="display: block; text-align: center;">Optimum rank range (L/s=3/2)</span>
|-
| |  
| |  
| | 12\41
| | 351.220
| | 702.439
| | 1053.659
| | 204.878
| style="text-align:center;" |
|-
| |
| | 7\24
| |
| | 350.000
| | 700.000
| | 1050.000
| | 200.000
| style="text-align:center;" |  
|-
| |  
| |
| | 16\55
| | 349.091
| | 698.182
| | 1047.273
| | 196.364
| |
|-
| |
| | 9\31
| |
| | 348.387
| | 696.774
| | 1045.161
| | 193.548
| style="text-align:center;" |
|-
| |
| | 11\38
| |
| | 347.368
| | 694.737
| | 1042.105
| | 189.474
| |
|-
| | 2\7
| |
| |
| | 342.857
| | 685.714
| | 1028.571
| | 171.429
| style="text-align:center;" |  
|}
|}


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