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| 5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo|5edo]] = 480¢) to 3\8 (three degrees of [[8edo|8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this: | | {{Interwiki |
| | | en = 5L 3s |
| | | de = |
| | | es = |
| | | ja = |
| | | ko = 5L3s (Korean) |
| | }} |
| | {{Infobox MOS |
| | | Neutral = 2L 6s |
| | }} |
| | : ''For the tritave-equivalent MOS structure with the same step pattern, see [[5L 3s (3/1-equivalent)]].'' |
| | {{MOS intro}} |
| | 5L 3s can be seen as a [[Warped diatonic|warped diatonic scale]], because it has one extra small step compared to diatonic ([[5L 2s]]). |
|
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|
| {| class="wikitable"
| | == Name == |
| |-
| | {{TAMNAMS name}} 'Oneiro' is sometimes used as a shortened form. |
| ! colspan="5" | generator
| |
| ! | <span style="display: block; text-align: center;">tetrachord</span>
| |
| ! | <span style="display: block; text-align: center;">g in cents</span>
| |
| ! | <span style="display: block; text-align: center;">2g</span>
| |
| ! | <span style="display: block; text-align: center;">3g</span>
| |
| ! | <span style="display: block; text-align: center;">4g</span>
| |
| ! | <span style="display: block; text-align: center;">Comments</span>
| |
| |-
| |
| | | 2\5
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| | |
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| | |
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">1 0 1</span>
| |
| | style="text-align:center;" | 480.000
| |
| | style="text-align:center;" | 960.000
| |
| | style="text-align:center;" | 240.00
| |
| | style="text-align:center;" | <span style="line-height: 15.6000003814697px;">720.000</span>
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 21\53
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| | |
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| | |
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| | |
| |
| | |
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">10 1 10</span>
| |
| | style="text-align:center;" | 475.472
| |
| | style="text-align:center;" | 950.943
| |
| | style="text-align:center;" | 226.415
| |
| | style="text-align:center;" | 701.887
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">Vulture/Buzzard is around here</span>
| |
| |-
| |
| | | 19\48
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| | |
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| | |
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| | |
| |
| | |
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">9 1 9</span>
| |
| | style="text-align:center;" | 475
| |
| | style="text-align:center;" | 950
| |
| | style="text-align:center;" | 225
| |
| | style="text-align:center;" | 700
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 17\43
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| | style="text-align:center;" | <span style="display: block; text-align: center;">8 1 8</span>
| |
| | style="text-align:center;" | 474.419
| |
| | style="text-align:center;" | 948.837
| |
| | style="text-align:center;" | 223.256
| |
| | style="text-align:center;" | 697.674
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 15\38
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| | |
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| | style="text-align:center;" | <span style="display: block; text-align: center;">7 1 7</span>
| |
| | style="text-align:center;" | 473.684
| |
| | style="text-align:center;" | 947.368
| |
| | style="text-align:center;" | 221.053
| |
| | style="text-align:center;" | 694.737
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 13\33
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| | |
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| | style="text-align:center;" | <span style="display: block; text-align: center;">6 1 6</span>
| |
| | style="text-align:center;" | 472.727
| |
| | style="text-align:center;" | 945.455
| |
| | style="text-align:center;" | 218.181
| |
| | style="text-align:center;" | 690.909
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 11\28
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| | style="text-align:center;" | <span style="display: block; text-align: center;">5 1 5</span>
| |
| | style="text-align:center;" | 471.429
| |
| | style="text-align:center;" | 942.857
| |
| | style="text-align:center;" | 214.286
| |
| | style="text-align:center;" | 685.714
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 9\23
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| | style="text-align:center;" | <span style="display: block; text-align: center;">4 1 4</span>
| |
| | style="text-align:center;" | 469.565
| |
| | style="text-align:center;" | 939.130
| |
| | style="text-align:center;" | 208.696
| |
| | style="text-align:center;" | 678.261
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = 4</span>
| |
| |-
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| |
| | style="text-align:center;" | pi 1 pi
| |
| | style="text-align:center;" | 467.171
| |
| | style="text-align:center;" | 934.3425
| |
| | style="text-align:center;" | 201.514
| |
| | style="text-align:center;" | 668.685
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
| |
| |-
| |
| | | 7\18
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| | style="text-align:center;" | <span style="display: block; text-align: center;">3 1 3</span>
| |
| | style="text-align:center;" | 466.667
| |
| | style="text-align:center;" | 933.333
| |
| | style="text-align:center;" | 200.000
| |
| | style="text-align:center;" | 666.667
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = 3</span>
| |
| |-
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| | style="text-align:center;" | e 1 e
| |
| | style="text-align:center;" | 465.535
| |
| | style="text-align:center;" | 931.069
| |
| | style="text-align:center;" | 196.604
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| | style="text-align:center;" | 662.139
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
| |
| |-
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| |
| | | 19\49
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| | style="text-align:center;" | 8 3 8
| |
| | style="text-align:center;" | 465.306
| |
| | style="text-align:center;" | 930.612
| |
| | style="text-align:center;" | 195.918
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| | style="text-align:center;" | 661.2245
| |
| | |
| |
| |-
| |
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| |
| | | 50\129
| |
| | |
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| | style="text-align:center;" | 21 8 21
| |
| | style="text-align:center;" | 465.116
| |
| | style="text-align:center;" | 930.233
| |
| | style="text-align:center;" | 195.349
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| | style="text-align:center;" | 660.465
| |
| | |
| |
| |-
| |
| | |
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| |
| | | 131\338
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| | style="text-align:center;" | 55 21 55
| |
| | style="text-align:center;" | 465.089
| |
| | style="text-align:center;" | 930.1775
| |
| | style="text-align:center;" | 195.266
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| | style="text-align:center;" | 660.335
| |
| | |
| |
| |-
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| | |
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| | |
| |
| | | 212\547
| |
| | style="text-align:center;" | 89 34 89
| |
| | style="text-align:center;" | 465.082
| |
| | style="text-align:center;" | 930.1645
| |
| | style="text-align:center;" | 195.247
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| | style="text-align:center;" | 660.329
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| | |
| |
| |-
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| |
| | | 81\209
| |
| | |
| |
| | style="text-align:center;" | 34 13 34
| |
| | style="text-align:center;" | 465.072
| |
| | style="text-align:center;" | 930.1435
| |
| | style="text-align:center;" | 195.215
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| | style="text-align:center;" | 660.287
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| | |
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| |-
| |
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| |
| | | 31\80
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| | style="text-align:center;" | 13 5 13
| |
| | style="text-align:center;" | 465
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| | style="text-align:center;" | 930
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| | style="text-align:center;" | 195
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| | style="text-align:center;" | 660
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| | |
| |
| |-
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| |
| | | 12\31
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| | |
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| | style="text-align:center;" | <span style="display: block; text-align: center;">5 2 5</span>
| |
| | style="text-align:center;" | 464.516
| |
| | style="text-align:center;" | 929.032
| |
| | style="text-align:center;" | 193.549
| |
| | style="text-align:center;" | 658.065
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 5\13
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| | style="text-align:center;" | <span style="display: block; text-align: center;">2 1 2</span>
| |
| | style="text-align:center;" | 461.538
| |
| | style="text-align:center;" | 923.077
| |
| | style="text-align:center;" | 184.615
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| | style="text-align:center;" | 646.154
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| | style="text-align:center;" |
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| |-
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| | style="text-align:center;" | <span style="background-color: #ffffff;">√3 1 √3</span>
| |
| | style="text-align:center;" | 459.417
| |
| | style="text-align:center;" | 918.8345
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| | style="text-align:center;" | 178.252
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| | style="text-align:center;" | 637.669
| |
| | |
| |
| |-
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| |
| | | 13\34
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| | style="text-align:center;" | <span style="display: block; text-align: center;">5 3 5</span>
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| | style="text-align:center;" | 458.824
| |
| | style="text-align:center;" | 917.647
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| | style="text-align:center;" | 176.471
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| | style="text-align:center;" | 635.294
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| | style="text-align:center;" |
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| |-
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| | |
| |
| | | 34\89
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| | style="text-align:center;" | <span style="display: block; text-align: center;">13 8 13</span>
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| | style="text-align:center;" | 458.427
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| | style="text-align:center;" | 916.854
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| | style="text-align:center;" | 175.281
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| | style="text-align:center;" | 633.708
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| | style="text-align:center;" |
| |
| |-
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| | | 89\233
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| | style="text-align:center;" | <span style="display: block; text-align: center;">34 21 34</span>
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| | style="text-align:center;" | <span style="line-height: 15.6000003814697px;">458.369</span>
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| | style="text-align:center;" | <span style="display: block; text-align: center;">916.738</span>
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| | style="text-align:center;" | 175.107
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| | style="text-align:center;" | <span style="line-height: 15.6000003814697px;">633.473</span>
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| | style="text-align:center;" |
| |
| |-
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| | | 233\610
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| | style="text-align:center;" | <span style="display: block; text-align: center;">89 55 89</span>
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| | style="text-align:center;" | 458.361
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| | style="text-align:center;" | 916.721
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| | style="text-align:center;" | 175.082
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| | style="text-align:center;" | 633.443
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| | style="text-align:center;" | <span style="display: block; text-align: center;">Golden father</span>
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| |-
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| | | 144\377
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| | style="text-align:center;" | <span style="display: block; text-align: center;">55 34 55</span>
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| | style="text-align:center;" | 458.355
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| | style="text-align:center;" | 916.711
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| | style="text-align:center;" | 175.066
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| | style="text-align:center;" | 633.422
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| | style="text-align:center;" |
| |
| |-
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| | | 55\144
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| | style="text-align:center;" | <span style="display: block; text-align: center;">21 13 21</span>
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| | style="text-align:center;" | 458.333
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| | style="text-align:center;" | 916.666
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| | style="text-align:center;" | 175
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| | style="text-align:center;" | 633.333
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| | style="text-align:center;" |
| |
| |-
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| |
| | | 21\55
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| | style="text-align:center;" | <span style="display: block; text-align: center;">8 5 8</span>
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| | style="text-align:center;" | 458.182
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| | style="text-align:center;" | 916.364
| |
| | style="text-align:center;" | 174.545
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| | style="text-align:center;" | 632.727
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| | style="text-align:center;" |
| |
| |-
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| | style="text-align:center;" | <span style="display: block; text-align: center;">pi 2 pi</span>
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| | style="text-align:center;" | 457.883
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| | style="text-align:center;" | 915.777
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| | style="text-align:center;" | 173.665
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| | style="text-align:center;" | 631.553
| |
| | |
| |
| |-
| |
| | | 8\21
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| | style="text-align:center;" | <span style="display: block; text-align: center;">3 2 3</span>
| |
| | style="text-align:center;" | 457.143
| |
| | style="text-align:center;" | 914.286
| |
| | style="text-align:center;" | 171.429
| |
| | style="text-align:center;" | 628.571
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">Optimum rank range (L/s=3/2) father</span>
| |
| |-
| |
| | | 11\29
| |
| | |
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| | style="text-align:center;" | <span style="display: block; text-align: center;">4 3 4</span>
| |
| | style="text-align:center;" | 455.172
| |
| | style="text-align:center;" | 910.345
| |
| | style="text-align:center;" | 165.517
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| | style="text-align:center;" | 620.690
| |
| | style="text-align:center;" |
| |
| |-
| |
| | | 14\37
| |
| | |
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| | |
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| | style="text-align:center;" | 5 4 5
| |
| | style="text-align:center;" | 454.054
| |
| | style="text-align:center;" | 908.108
| |
| | style="text-align:center;" | 162.162
| |
| | style="text-align:center;" | 616.216
| |
| | |
| |
| |-
| |
| | | 17\45
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | style="text-align:center;" | 6 5 6
| |
| | style="text-align:center;" | 453.333
| |
| | style="text-align:center;" | 906.667
| |
| | style="text-align:center;" | 160
| |
| | style="text-align:center;" | 613.333
| |
| | |
| |
| |-
| |
| | | 20\53
| |
| | |
| |
| | |
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| |
| | |
| |
| | style="text-align:center;" | 7 6 7
| |
| | style="text-align:center;" | 452.83
| |
| | style="text-align:center;" | 905.66
| |
| | style="text-align:center;" | 158.491
| |
| | style="text-align:center;" | 611.321
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| | |
| |
| |-
| |
| | | 23\61
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| | |
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| | |
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| | |
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| | |
| |
| | style="text-align:center;" | 8 7 8
| |
| | style="text-align:center;" | 452.459
| |
| | style="text-align:center;" | 904.918
| |
| | style="text-align:center;" | 157.377
| |
| | style="text-align:center;" | 609.836
| |
| | |
| |
| |-
| |
| | | 26\69
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| | |
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| | |
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| | |
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| | style="text-align:center;" | 9 8 9
| |
| | style="text-align:center;" | 452.174
| |
| | style="text-align:center;" | 904.348
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| | style="text-align:center;" | 156.522
| |
| | style="text-align:center;" | 608.696
| |
| | |
| |
| |-
| |
| | | 29\77
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| | |
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| |
| | |
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| | |
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| | style="text-align:center;" | 10 9 10
| |
| | style="text-align:center;" | 451.948
| |
| | style="text-align:center;" | 903.896
| |
| | style="text-align:center;" | 155.844
| |
| | style="text-align:center;" | 607.792
| |
| | |
| |
| |-
| |
| | | 3\8
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| | style="text-align:center;" | <span style="display: block; text-align: center;">1 1 1</span>
| |
| | style="text-align:center;" | 450.000
| |
| | style="text-align:center;" | 900.000
| |
| | style="text-align:center;" | 150.000
| |
| | style="text-align:center;" | 600.000
| |
| | style="text-align:center;" |
| |
| |}
| |
| The only notable harmonic entropy minimum is Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.
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| By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has [[Bohlen-Pierce|Bohlen-Pierce]] as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.
| | 'Father' is sometimes also used to denote 5L 3s, but it's a misnomer, as [[father]] is technically an abstract [[regular temperament]] (although a very inaccurate one), not a generator range. There are father tunings which generate 3L 5s. A more correct but still not quite correct name would be 'father[8]' or 'father octatonic'. "Father" is also vague regarding the number of notes, because optimal generators for it also generate [[3L 2s]]. |
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| |
|
| {| class="wikitable"
| | == Scale properties == |
| |-
| | |
| ! colspan="5" | generator
| | === Intervals === |
| ! | tetrachord
| | {{MOS intervals}} |
| ! | g in cents
| | |
| ! | 2g
| | === Generator chain === |
| ! | 3g
| | {{MOS genchain}} |
| ! | 4g
| | |
| ! | Comments
| | === Modes === |
| |-
| | {{MOS mode degrees}} |
| | style="text-align:center;" | 2\5
| | |
| | style="text-align:center;" |
| | ==== Proposed mode names ==== |
| | style="text-align:center;" | | | The following names have been proposed for the modes of 5L 3s, and are named after cities in the Dreamlands. |
| | style="text-align:center;" | | | {{MOS modes |
| | style="text-align:center;" |
| | | Mode Names= |
| | style="text-align:center;" | 1 0 1
| | Dylathian $ |
| | style="text-align:center;" | 760.782
| | Ilarnekian $ |
| | style="text-align:center;" | 1521.564 | | Celephaïsian $ |
| | style="text-align:center;" | 380.391
| | Ultharian $ |
| | style="text-align:center;" | 1141.173
| | Mnarian $ |
| | style="text-align:center;" |
| | Kadathian $ |
| |-
| | Hlanithian $ |
| | style="text-align:center;" | 27\68
| | Sarnathian $ |
| | style="text-align:center;" |
| | | Collapsed=1 |
| | style="text-align:center;" |
| | }} |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | == Tunings== |
| | style="text-align:center;" | 13 1 13
| | === Simple tunings === |
| | style="text-align:center;" | 755.188
| | The simplest tuning for 5L 3s correspond to 13edo, 18edo, and 21edo, with step ratios 2:1, 3:1, and 3:2, respectively. |
| | style="text-align:center;" | 1510.376
| | |
| | style="text-align:center;" | 363.609
| | {{MOS tunings|JI Ratios=Int Limit: 30; Prime Limit: 19; Tenney Height: 7.7}} |
| | style="text-align:center;" | 1118.797
| | |
| | style="text-align:center;" |
| | === Hypohard tunings === |
| |-
| | [[Hypohard]] oneirotonic tunings have step ratios between 2:1 and 3:1 and can be considered "meantone oneirotonic", sharing the following features with [[meantone]] diatonic tunings: |
| | style="text-align:center;" |
| | * The large step is a "meantone", around the range of [[10/9]] to [[9/8]]. |
| | style="text-align:center;" |
| | * The major 2-mosstep is a [[meantone]]- to [[flattone]]-sized major third, thus is a stand-in for the classical diatonic major third. |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | With step ratios between 5:2 and 2:1, the minor 2-mosstep is close to [[7/6]]. |
| | style="text-align:center;" | | | |
| | style="text-align:center;" | ~6626 515 6626
| | EDOs that are in the hypohard range include [[13edo]], [[18edo]], and [[31edo]], and are associated with [[5L 3s/Temperaments#A-Team|A-Team]] temperament. |
| | style="text-align:center;" | 755.132
| | * 13edo has characteristically small 1-mossteps of about 185{{c}}. It is uniformly compressed 12edo, so it has distorted versions of non-diatonic 12edo scales. It essentially has the best [[11/8]] out of all hypohard tunings. |
| | style="text-align:center;" | 1510.265 | | * 18edo can be used for a large step ratio of 3, (thus 18edo oneirotonic is distorted 17edo diatonic, or for its nearly pure 9/8 and 7/6. It also makes rising fifths (733.3{{c}}, a perfect 5-mosstep) and falling fifths (666.7{{c}}, a major 4-mosstep) almost equally off from a just perfect fifth. 18edo is also more suited for conventionally jazz styles due to its 6-fold symmetry. |
| | style="text-align:center;" | 363.442
| | * 31edo can be used to make the major 2-mosstep a near-just 5/4. |
| | style="text-align:center;" | 1118.574
| | * [[44edo]] (generator {{nowrap|17\44 {{=}} 463.64{{c}}}}), [[57edo]] (generator {{nowrap|22\57 {{=}} 463.16{{c}}}}), and [[70edo]] (generator 27\70 {{=}} 462.857{{c}}}}) offer a compromise between 31edo's major third and 13edo's 11/8 and 13/8. In particular, 70edo has an essentially pure 13/8. |
| | style="text-align:center;" | <span style="display: block; text-align: center;">2g=12/5 minus quarter comma</span>
| | |
| |-
| | {{MOS tunings|Step Ratios=Hypohard|JI Ratios=Subgroup: 2.5.9.21; Int Limit:40; Complements Only: 1|Tolerance=15}} |
| | style="text-align:center;" | 25\63
| | |
| | style="text-align:center;" |
| | === Hyposoft tunings === |
| | style="text-align:center;" |
| | [[Hyposoft]] oneirotonic tunings have step ratios between 3:2 and 2:1, which remains relatively unexplored. In these tunings, |
| | style="text-align:center;" |
| | * The large step of oneirotonic tends to be intermediate in size between [[10/9]] and [[11/10]]; the small step size is a semitone close to [[17/16]], about 92{{c}} to 114{{c}}. |
| | style="text-align:center;" |
| | * The major 2-mosstep (made of two large steps) in these tunings tends to be more of a neutral third, ranging from 6\21 (342{{c}}) to 4\13 (369{{c}}). |
| | style="text-align:center;" | 12 1 12
| | |
| | style="text-align:center;" | 754.744 | | * [[21edo]]'s P1-L1ms-L2ms-L4ms approximates 9:10:11:13 better than the corresponding 13edo chord does. 21edo will serve those who like the combination of neogothic minor thirds (285.71{{c}}) and Baroque diatonic semitones (114.29{{c}}, close to quarter-comma meantone's 117.11{{c}}). |
| | style="text-align:center;" | 1509.488 | | * [[34edo]]'s 9:10:11:13 is even better. |
| | style="text-align:center;" | 362.277
| | |
| | style="text-align:center;" | 1117.021
| | This set of JI identifications is associated with [[5L 3s/Temperaments#Petrtri|petrtri]] temperament. (P1-M1ms-P3ms could be said to approximate 5:11:13 in all soft-of-basic tunings, which is what "basic" [[petrtri]] temperament is.) |
| | style="text-align:center;" |
| | |
| |-
| | {{MOS tunings |
| | style="text-align:center;" | 23\58
| | | Step Ratios = Hyposoft |
| | style="text-align:center;" |
| | | JI Ratios = |
| | style="text-align:center;" |
| | 1/1; |
| | style="text-align:center;" |
| | 16/15; |
| | style="text-align:center;" |
| | 10/9; 11/10; |
| | style="text-align:center;" | 11 1 11
| | 13/11; 20/17; |
| | style="text-align:center;" | 754.2235
| | 11/9; |
| | style="text-align:center;" | 1508.447
| | 5/4; |
| | style="text-align:center;" | 360.716
| | 13/10; |
| | style="text-align:center;" | 1114.939
| | 18/13; 32/23; |
| | style="text-align:center;" |
| | 13/9; 23/16; |
| |-
| | 20/13; |
| | style="text-align:center;" | 21\53
| | 8/5; |
| | style="text-align:center;" |
| | 18/11; |
| | style="text-align:center;" |
| | 22/13; 17/10; |
| | style="text-align:center;" |
| | 9/5; |
| | style="text-align:center;" | | | 15/8; |
| | style="text-align:center;" | 10 1 10 | | 2/1 |
| | style="text-align:center;" | 753.605
| | }} |
| | style="text-align:center;" | 1507.21
| | |
| | style="text-align:center;" | 358.859
| | === Parasoft and ultrasoft tunings === |
| | style="text-align:center;" | 1112.464
| | The range of oneirotonic tunings of step ratio between 6:5 and 3:2 is closely related to [[porcupine]] temperament; these tunings equate three oneirotonic large steps to a diatonic perfect fourth, i.e. they equate the oneirotonic large step to a [[porcupine]] generator. The chord 10:11:13 is very well approximated in 29edo. |
| | style="text-align:center;" |
| | |
| |-
| | {{MOS tunings |
| | style="text-align:center;" | 19\48
| | | Step Ratios = 6/5; 3/2; 4/3 |
| | style="text-align:center;" |
| | | JI Ratios = |
| | style="text-align:center;" |
| | 1/1; |
| | style="text-align:center;" |
| | 14/13; |
| | style="text-align:center;" |
| | 11/10; |
| | style="text-align:center;" | 9 1 9
| | 9/8; |
| | style="text-align:center;" | 752.857
| | 15/13; |
| | style="text-align:center;" | 1505.714
| | 13/11; |
| | style="text-align:center;" | 356.617
| | 14/11; |
| | style="text-align:center;" | 1109.474
| | 13/10; |
| | style="text-align:center;" |
| | 4/3; |
| |-
| | 15/11; |
| | style="text-align:center;" | 17\43
| | 7/5; |
| | style="text-align:center;" |
| | 10/7; |
| | style="text-align:center;" |
| | 22/15; |
| | style="text-align:center;" |
| | 3/2; |
| | style="text-align:center;" |
| | 20/13; |
| | style="text-align:center;" | 8 1 8
| | 11/7; |
| | style="text-align:center;" | 751.936
| | 22/13; |
| | style="text-align:center;" | 1503.871
| | 26/15; |
| | style="text-align:center;" | 353.852
| | 16/9; |
| | style="text-align:center;" | 1105.788 | | 20/11; |
| | style="text-align:center;" |
| | 13/7; |
| |-
| | 2/1 |
| | style="text-align:center;" | 15\38
| | }} |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | === Parahard tunings === |
| | style="text-align:center;" |
| | 23edo oneiro combines the sound of neogothic tunings like [[46edo]] and the sounds of "superpyth" and "semaphore" scales. This is because 23edo oneirotonic has a large step of 208.7¢, same as [[46edo]]'s neogothic major second, and is both a warped [[22edo]] [[superpyth]] [[diatonic]] and a warped [[24edo]] [[semaphore]] [[semiquartal]] (and both nearby scales are [[superhard]] MOSes). |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" | 7 1 7
| | {{MOS tunings |
| | style="text-align:center;" | 750.771
| | | JI Ratios = |
| | style="text-align:center;" | 1501.543
| | 1/1; |
| | style="text-align:center;" | 350.36
| | 21/17; |
| | style="text-align:center;" | 1101.132 | | 17/16; |
| | style="text-align:center;" |
| | 14/11; |
| |-
| | 6/5; |
| | style="text-align:center;" |
| | 21/16; |
| | style="text-align:center;" | 28/71 | | 21/17; |
| | style="text-align:center;" |
| | 34/21; |
| | style="text-align:center;" |
| | 32/21; |
| | style="text-align:center;" |
| | 5/3; |
| | style="text-align:center;" | 13 2 13
| | 11/7; |
| | style="text-align:center;" | 750.067
| | 32/17; |
| | style="text-align:center;" | 1500.1335
| | 34/21; |
| | style="text-align:center;" | 348.245
| | 2/1 |
| | style="text-align:center;" | 1098.312
| | | Step Ratios = 4/1 |
| | style="text-align:center;" |
| | }} |
| |-
| | |
| | style="text-align:center;" | | | === Ultrahard tunings === |
| | style="text-align:center;" | 41\104
| | {{Main|5L 3s/Temperaments#Buzzard}} |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | [[Buzzard]] is a rank-2 temperament in the [[Step ratio|pseudocollapsed]] range. It represents the only [[harmonic entropy]] minimum of the oneirotonic spectrum. |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" | 19 3 19
| | In the broad sense, Buzzard can be viewed as any tuning that divides the 3rd harmonic into 4 equal parts. [[23edo]], [[28edo]] and [[33edo]] can nominally be viewed as supporting it, but are still very flat and in an ambiguous zone between 18edo and true Buzzard in terms of harmonies. [[38edo]] & [[43edo]] are good compromises between melodic utility and harmonic accuracy, as the small step is still large enough to be obvious to the untrained ear, but [[48edo]] is where it really comes into its own in terms of harmonies, providing not only an excellent [[3/2]], but also [[7/4]] and [[The_Archipelago|archipelago]] harmonies, as by dividing the 5th in 4 it obviously also divides it in two as well. |
| | style="text-align:center;" | 749.809
| | |
| | style="text-align:center;" | 1466.618 | | Beyond that, it's a question of which intervals you want to favor. [[53edo]] has an essentially perfect [[3/2]], [[58edo]] gives the lowest overall error for the Barbados triads 10:13:15 and 26:30:39, while [[63edo]] does the same for the basic 4:6:7 triad. You could in theory go up to [[83edo]] if you want to favor the [[7/4]] above everything else, but beyond that, general accuracy drops off rapidly and you might as well be playing equal pentatonic. |
| | style="text-align:center;" | 347.4725 | | |
| | style="text-align:center;" | 1097.282
| | {{MOS tunings |
| | style="text-align:center;" | 3g=11/3 near here
| | | JI Ratios = |
| |- | | 1/1; |
| | style="text-align:center;" | 13\33
| | 8/7; |
| | style="text-align:center;" |
| | 13/10; |
| | style="text-align:center;" |
| | 21/16; |
| | style="text-align:center;" |
| | 3/2; |
| | style="text-align:center;" |
| | 12/7, 22/13; |
| | style="text-align:center;" | 6 1 6
| | 26/15; |
| | style="text-align:center;" | 749.255
| | 49/25, 160/81; |
| | style="text-align:center;" | 1498.51
| | 2/1 |
| | style="text-align:center;" | 345.81
| | | Step Ratios = 7/1; 10/1; 12/1 |
| | style="text-align:center;" | 1095.065
| | | Tolerance = 30 |
| | style="text-align:center;" |
| | }} |
| |-
| | |
| | style="text-align:center;" |
| | == Approaches == |
| | style="text-align:center;" | 24\61
| | * [[5L 3s/Temperaments]] |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | == Samples == |
| | style="text-align:center;" |
| | [[File:The Angels' Library edo.mp3]] [[:File:The Angels' Library edo.mp3|The Angels' Library]] by [[Inthar]] in the Sarnathian (23233233) mode of 21edo oneirotonic ([[:File:The Angels' Library Score.pdf|score]]) |
| | style="text-align:center;" | 11 2 11
| | |
| | style="text-align:center;" | 748.31
| | [[File:13edo Prelude in J Oneirominor.mp3]] |
| | style="text-align:center;" | 1496.62
| | |
| | style="text-align:center;" | 342.976 | | [[WT13C]] [[:File:13edo Prelude in J Oneirominor.mp3|Prelude II (J Oneirominor)]] ([[:File:13edo Prelude in J Oneirominor Score.pdf|score]]) – Simple two-part Baroque piece. It stays in oneirotonic even though it modulates to other keys a little. |
| | style="text-align:center;" | 1091.286 | | |
| | style="text-align:center;" | | | [[File:13edo_1MC.mp3]] |
| |-
| | |
| | style="text-align:center;" |
| | (13edo, first 30 seconds is in J Celephaïsian) |
| | style="text-align:center;" | 35\89
| | |
| | style="text-align:center;" |
| | [[File:A Moment of Respite.mp3]] |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | (13edo, L Ilarnekian) |
| | style="text-align:center;" | 16 3 16
| | |
| | style="text-align:center;" | 747.96
| | [[File:Lunar Approach.mp3]] |
| | style="text-align:center;" | 1495.92
| | |
| | style="text-align:center;" | 341.924
| | (by [[Igliashon Jones]], 13edo, J Celephaïsian) |
| | style="text-align:center;" | 1089.884
| | |
| | style="text-align:center;" |
| | === 13edo Oneirotonic Modal Studies === |
| |-
| | * [[File:Inthar-13edo Oneirotonic Studies 1 Dylathian.mp3]]: Tonal Study in Dylathian |
| | style="text-align:center;" |
| | * [[File:Inthar-13edo Oneirotonic Studies 2 Ultharian.mp3]]: Tonal Study in Ultharian |
| | style="text-align:center;" | 46\117
| | * [[File:Inthar-13edo Oneirotonic Studies 3 Hlanithian.mp3]]: Tonal Study in Hlanithian |
| | style="text-align:center;" |
| | * [[File:Inthar-13edo Oneirotonic Studies 4 Illarnekian.mp3]]: Tonal Study in Ilarnekian |
| | style="text-align:center;" |
| | * [[File:Inthar-13edo Oneirotonic Studies 5 Mnarian.mp3]]: Tonal Study in Mnarian |
| | style="text-align:center;" |
| | * [[File:Inthar-13edo Oneirotonic Studies 6 Sarnathian.mp3]]: Tonal Study in Sarnathian |
| | style="text-align:center;" | 21 4 21
| | * [[File:Inthar-13edo Oneirotonic Studies 7 Celephaisian.mp3]]: Tonal Study in Celephaïsian |
| | style="text-align:center;" | 747.777
| | * [[File:Inthar-13edo Oneirotonic Studies 8 Kadathian.mp3]]: Tonal Study in Kadathian |
| | style="text-align:center;" | 1495.554
| | |
| | style="text-align:center;" | 341.377
| | == Scale tree == |
| | style="text-align:center;" | 1089.154
| | {{MOS tuning spectrum |
| | style="text-align:center;" |
| | | 13/8 = Golden oneirotonic (458.3592{{c}}) |
| |-
| | | 13/5 = Golden A-Team (465.0841{{c}}) |
| | style="text-align:center;" |
| | }} |
| | style="text-align:center;" | 57\145
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| | style="text-align:center;" |
| | [[Category:Oneirotonic| ]] <!-- sort order in category: this page shows above A --> |
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| | [[Category:Pages with internal sound examples]] |
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| | style="text-align:center;" | 26 5 26
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| | style="text-align:center;" | 747.665
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| | style="text-align:center;" | 1495.33
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| | style="text-align:center;" | 341.04
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| | style="text-align:center;" | 5+<span style="background-color: #ffffff;">√29 2 5+√29</span>
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| | style="text-align:center;" | 747.648
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| | style="text-align:center;" | 1495.297
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| | style="text-align:center;" | 340.99
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| | style="text-align:center;" | 1088.638
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| | style="text-align:center;" | 31 6 31
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| | style="text-align:center;" | 747.589
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| | style="text-align:center;" | 1495.178
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| | style="text-align:center;" | 340.813
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| | style="text-align:center;" | 67 13 67
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| | style="text-align:center;" | 747.56
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| | style="text-align:center;" | 1495.12
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| | style="text-align:center;" | 340.725
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| | style="text-align:center;" | 1088.285
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| | style="text-align:center;" | 4g=45/8 near here
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| | style="text-align:center;" | 79\201
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| | style="text-align:center;" | 36 7 36
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| | style="text-align:center;" | 747.535
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| | style="text-align:center;" | 1495.069
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| | style="text-align:center;" | 340.649
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| | style="text-align:center;" | 1088.183
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| | style="text-align:center;" | 11\28
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| | style="text-align:center;" | 5 1 5
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| | style="text-align:center;" | 747.197
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| | style="text-align:center;" | 339.635
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| | style="text-align:center;" | 9 2 9
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| | style="text-align:center;" | 745.865
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| | style="text-align:center;" | 29\74
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| | style="text-align:center;" | 13 3 13
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| | style="text-align:center;" | 745.361
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| | style="text-align:center;" | 334.127
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| | style="text-align:center;" | 38/97
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| | style="text-align:center;" | 17 4 17
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| | style="text-align:center;" | 2+<span style="background-color: #ffffff;">√5 1 </span>2+<span style="background-color: #ffffff;">√5</span>
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| | style="text-align:center;" | 754.051
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| | style="text-align:center;" | 1490.101
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| | style="text-align:center;" | 333.197
| |
| | style="text-align:center;" | 1078.247
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 47\120
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 21 5 21
| |
| | style="text-align:center;" | 744.932
| |
| | style="text-align:center;" | 1489.865
| |
| | style="text-align:center;" | 332.842
| |
| | style="text-align:center;" | 1077.7745
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 9\23
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 4 1 4
| |
| | style="text-align:center;" | 744.243
| |
| | style="text-align:center;" | 1488.487
| |
| | style="text-align:center;" | 330.775
| |
| | style="text-align:center;" | 1075.018
| |
| | style="text-align:center;" | L/s = 4
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 43\110
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 19 5 19
| |
| | style="text-align:center;" | 743.4915
| |
| | style="text-align:center;" | 1486.983
| |
| | style="text-align:center;" | 328.5195
| |
| | style="text-align:center;" | 1072.011
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 77\197
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 34 9 34
| |
| | style="text-align:center;" | 743.404
| |
| | style="text-align:center;" | 1486.807
| |
| | style="text-align:center;" | 328.256
| |
| | style="text-align:center;" | 1071.66
| |
| | style="text-align:center;" | 4g=39/7 near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 34\87
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 15 4 15
| |
| | style="text-align:center;" | 743.293
| |
| | style="text-align:center;" | 1486.586
| |
| | style="text-align:center;" | 327.923
| |
| | style="text-align:center;" | 1071.216
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 25\64
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 11 3 11
| |
| | style="text-align:center;" | 742.951
| |
| | style="text-align:center;" | 1485.902
| |
| | style="text-align:center;" | 326.899
| |
| | style="text-align:center;" | 1069.85
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 16\41
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 7 2 7
| |
| | style="text-align:center;" | 742.226
| |
| | style="text-align:center;" | 1484.453
| |
| | style="text-align:center;" | 324.724
| |
| | style="text-align:center;" | 1066.95
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 23\59
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 10 3 10
| |
| | style="text-align:center;" | 741.44
| |
| | style="text-align:center;" | 1482.88
| |
| | style="text-align:center;" | 322.365
| |
| | style="text-align:center;" | 1063.805
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 3+<span style="background-color: #ffffff;">√13 2 3+√13</span>
| |
| | style="text-align:center;" | 741.289
| |
| | style="text-align:center;" | 1482.577
| |
| | style="text-align:center;" | 321.911
| |
| | style="text-align:center;" | 1063.20
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 30\77
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13 4 13
| |
| | style="text-align:center;" | 741.021
| |
| | style="text-align:center;" | 1482.043
| |
| | style="text-align:center;" | 321.109
| |
| | style="text-align:center;" | 1062.131
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | pi 1 pi
| |
| | style="text-align:center;" | 740.449
| |
| | style="text-align:center;" | 1480.898
| |
| | style="text-align:center;" | 319.392
| |
| | style="text-align:center;" | 1056.841
| |
| | style="text-align:center;" | L/s = pi
| |
| |-
| |
| | style="text-align:center;" | 7\18
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 3 1 3
| |
| | style="text-align:center;" | 739.649
| |
| | style="text-align:center;" | 1479.298
| |
| | style="text-align:center;" | 316.992
| |
| | style="text-align:center;" | 1056.642
| |
| | style="text-align:center;" | L/s = 3
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 89\229
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 38 13 38
| |
| | style="text-align:center;" | 739.188
| |
| | style="text-align:center;" | 1478.376
| |
| | style="text-align:center;" | 315.608
| |
| | style="text-align:center;" | 1054.796
| |
| | style="text-align:center;" | 3g=18/5 near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 82\211
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 35 12 35
| |
| | style="text-align:center;" | 739.148
| |
| | style="text-align:center;" | 1478.297
| |
| | style="text-align:center;" | 315.49
| |
| | style="text-align:center;" | 1054.639
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 75\193
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 32 11 32
| |
| | style="text-align:center;" | 739.102
| |
| | style="text-align:center;" | 1478.203
| |
| | style="text-align:center;" | 315.35
| |
| | style="text-align:center;" | 1054.452
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 68\175
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 29 10 29
| |
| | style="text-align:center;" | 739.045
| |
| | style="text-align:center;" | 1478.091
| |
| | style="text-align:center;" | 315.181
| |
| | style="text-align:center;" | 1054.227
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 61/157
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 26 9 26
| |
| | style="text-align:center;" | 738.976
| |
| | style="text-align:center;" | 1477.952
| |
| | style="text-align:center;" | 314.973
| |
| | style="text-align:center;" | 1053.949
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 54\139
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 23 8 23
| |
| | style="text-align:center;" | 738.889
| |
| | style="text-align:center;" | 1477.778
| |
| | style="text-align:center;" | 314.712
| |
| | style="text-align:center;" | 1053.601
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 47\121
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 20 7 20
| |
| | style="text-align:center;" | 738.776
| |
| | style="text-align:center;" | 1477.552
| |
| | style="text-align:center;" | 314.373
| |
| | style="text-align:center;" | 1053.149
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 40\103
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 17 6 17
| |
| | style="text-align:center;" | 738.623
| |
| | style="text-align:center;" | 1477.247
| |
| | style="text-align:center;" | 313.915
| |
| | style="text-align:center;" | 1052.538
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 33\85
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 14 5 14
| |
| | style="text-align:center;" | 738.406
| |
| | style="text-align:center;" | 1476.812
| |
| | style="text-align:center;" | 313.263
| |
| | style="text-align:center;" | 1051.669
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 26\67
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 11 4 11
| |
| | style="text-align:center;" | 738.072
| |
| | style="text-align:center;" | 1476.144
| |
| | style="text-align:center;" | 312.261
| |
| | style="text-align:center;" | 1050.333
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | e 1 e
| |
| | style="text-align:center;" | 737.855
| |
| | style="text-align:center;" | 1478.71
| |
| | style="text-align:center;" | 311.61
| |
| | style="text-align:center;" | 1049.465
| |
| | style="text-align:center;" | L/s = e
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 19\49
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 8 3 8
| |
| | style="text-align:center;" | 737.493
| |
| | style="text-align:center;" | 1474.986
| |
| | style="text-align:center;" | 310.523
| |
| | style="text-align:center;" | 1048.016
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 164\423
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 69 26 69
| |
| | style="text-align:center;" | 737.401
| |
| | style="text-align:center;" | 1474.802
| |
| | style="text-align:center;" | 310.248
| |
| | style="text-align:center;" | 1047.649
| |
| | style="text-align:center;" | 3g=18/5 minus quarter comma near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 145\374
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 61 23 61
| |
| | style="text-align:center;" | 737.389
| |
| | style="text-align:center;" | 1474.778
| |
| | style="text-align:center;" | 310.212
| |
| | style="text-align:center;" | 1047.601
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 126\325
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 53 20 53
| |
| | style="text-align:center;" | 737.373
| |
| | style="text-align:center;" | 1474.747
| |
| | style="text-align:center;" | 310.165
| |
| | style="text-align:center;" | 1047.538
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 107\276
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 45 17 45
| |
| | style="text-align:center;" | 737.352
| |
| | style="text-align:center;" | 1474.704
| |
| | style="text-align:center;" | 310.101
| |
| | style="text-align:center;" | 1047.453
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 88\227
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 37 14 37
| |
| | style="text-align:center;" | 737.322
| |
| | style="text-align:center;" | 1474.644
| |
| | style="text-align:center;" | 310.01
| |
| | style="text-align:center;" | 1047.332
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 69\178
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 29 11 29
| |
| | style="text-align:center;" | 737.275
| |
| | style="text-align:center;" | 1474.549
| |
| | style="text-align:center;" | 309.869
| |
| | style="text-align:center;" | 1047.144
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 50\129
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 21 8 21
| |
| | style="text-align:center;" | 737.192
| |
| | style="text-align:center;" | 1474.384
| |
| | style="text-align:center;" | 309.621
| |
| | style="text-align:center;" | 1046.812
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 131\338
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 55 21 55
| |
| | style="text-align:center;" | 737.148
| |
| | style="text-align:center;" | 1474.296
| |
| | style="text-align:center;" | 309.49
| |
| | style="text-align:center;" | 1046.638
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 212\547
| |
| | style="text-align:center;" | 89 34 89
| |
| | style="text-align:center;" | 737.138
| |
| | style="text-align:center;" | 1474.276
| |
| | style="text-align:center;" | 309.459
| |
| | style="text-align:center;" | 1046.597
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 81\209
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 34 13 34
| |
| | style="text-align:center;" | 737.121
| |
| | style="text-align:center;" | 1474.243
| |
| | style="text-align:center;" | 309.409
| |
| | style="text-align:center;" | 1046.53
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 31\80
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13 5 13
| |
| | style="text-align:center;" | 737.008
| |
| | style="text-align:center;" | 1474.015
| |
| | style="text-align:center;" | 309.068
| |
| | style="text-align:center;" | 1046.075
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 12\31
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 5 2 5
| |
| | style="text-align:center;" | 736.241
| |
| | style="text-align:center;" | 1472.481
| |
| | style="text-align:center;" | 306.767
| |
| | style="text-align:center;" | 1043.007
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | <span style="background-color: #ffffff;">1+√2 1 1+√2</span>
| |
| | style="text-align:center;" | 735.542
| |
| | style="text-align:center;" | 1471.084
| |
| | style="text-align:center;" | 304.6715
| |
| | style="text-align:center;" | 1040.214
| |
| | style="text-align:center;" | Silver false father
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 17\44
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 7 3 7
| |
| | style="text-align:center;" | 734.846
| |
| | style="text-align:center;" | 1469.693
| |
| | style="text-align:center;" | 302.584
| |
| | style="text-align:center;" | 1037.41
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 22\57
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 9 4 9
| |
| | style="text-align:center;" | 734.088
| |
| | style="text-align:center;" | 1468.176
| |
| | style="text-align:center;" | 300.309
| |
| | style="text-align:center;" | 1034.397
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 27\70
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 11 5 11
| |
| | style="text-align:center;" | 733.611
| |
| | style="text-align:center;" | 1467.222
| |
| | style="text-align:center;" | 298.879
| |
| | style="text-align:center;" | 1032.49
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 59\153
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 24 11 24
| |
| | style="text-align:center;" | 733.434
| |
| | style="text-align:center;" | 1466.867
| |
| | style="text-align:center;" | 298.346
| |
| | style="text-align:center;" | 1031.779
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 32\83
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13 6 13
| |
| | style="text-align:center;" | 733.284
| |
| | style="text-align:center;" | 1466.568
| |
| | style="text-align:center;" | 297.897
| |
| | style="text-align:center;" | 1031.181
| |
| | style="text-align:center;" | 2g=7/3 near here
| |
| |-
| |
| | style="text-align:center;" | 5\13
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 2 1 2
| |
| | style="text-align:center;" | 731.521
| |
| | style="text-align:center;" | 1463.042
| |
| | style="text-align:center;" | 292.609
| |
| | style="text-align:center;" | 1024.13
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 53\138
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 21 11 21
| |
| | style="text-align:center;" | 730.461
| |
| | style="text-align:center;" | 1460.922
| |
| | style="text-align:center;" | 289.428
| |
| | style="text-align:center;" | 1018.889
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 101\263
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 40 21 40
| |
| | style="text-align:center;" | 730.409
| |
| | style="text-align:center;" | 1460.817
| |
| | style="text-align:center;" | 289.271
| |
| | style="text-align:center;" | 1019.679
| |
| | style="text-align:center;" | 3g=39/11 near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 48\125
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 19 10 19
| |
| | style="text-align:center;" | 730.35
| |
| | style="text-align:center;" | 1460.701
| |
| | style="text-align:center;" | 289.097
| |
| | style="text-align:center;" | 1019.448
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 43\112
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 17 9 17
| |
| | style="text-align:center;" | 730.215
| |
| | style="text-align:center;" | 1460.43
| |
| | style="text-align:center;" | 288.69
| |
| | style="text-align:center;" | 1018.905
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 38\99
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 15 8 15
| |
| | style="text-align:center;" | 730.043
| |
| | style="text-align:center;" | 1460.087
| |
| | style="text-align:center;" | 288.175
| |
| | style="text-align:center;" | 1018.218
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 71\185
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 28 15 28
| |
| | style="text-align:center;" | 729.9395
| |
| | style="text-align:center;" | 1459.879
| |
| | style="text-align:center;" | 287.8635
| |
| | style="text-align:center;" | 1017.803
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 104\271
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 41 22 41
| |
| | style="text-align:center;" | 729.902
| |
| | style="text-align:center;" | 1459.803
| |
| | style="text-align:center;" | 287.75
| |
| | style="text-align:center;" | 1017.651
| |
| | style="text-align:center;" | 4g=27/5 near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 33\86
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13 7 13
| |
| | style="text-align:center;" | 729.82
| |
| | style="text-align:center;" | 1459.64
| |
| | style="text-align:center;" | 287.505
| |
| | style="text-align:center;" | 1017.325
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 28\73
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 11 6 11
| |
| | style="text-align:center;" | 729.547
| |
| | style="text-align:center;" | 1459.034
| |
| | style="text-align:center;" | 286.596
| |
| | style="text-align:center;" | 1016.113
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 23\60
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 9 5 9
| |
| | style="text-align:center;" | 729.083
| |
| | style="text-align:center;" | 1458.1655
| |
| | style="text-align:center;" | 285.293
| |
| | style="text-align:center;" | 1014.376
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 41\107
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 16 9 16
| |
| | style="text-align:center;" | 728.7865
| |
| | style="text-align:center;" | 1457.573
| |
| | style="text-align:center;" | 284.4045
| |
| | style="text-align:center;" | 1013.191
| |
| | style="text-align:center;" | 3g=99/28 near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 59\154
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 23 13 23
| |
| | style="text-align:center;" | 728.671
| |
| | style="text-align:center;" | 1457.342
| |
| | style="text-align:center;" | 284.058
| |
| | style="text-align:center;" | 1012.729
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 77\201
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 30 17 30
| |
| | style="text-align:center;" | 728.61
| |
| | style="text-align:center;" | 1457.219
| |
| | style="text-align:center;" | 283.874
| |
| | style="text-align:center;" | 1012.483
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 95\248
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 37 21 37
| |
| | style="text-align:center;" | 728.5715
| |
| | style="text-align:center;" | 1457.143
| |
| | style="text-align:center;" | 283.7595
| |
| | style="text-align:center;" | 1012.331
| |
| | style="text-align:center;" | Golden BP is index-2 near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 18\47
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 7 4 7
| |
| | style="text-align:center;" | 728.408
| |
| | style="text-align:center;" | 1456.817
| |
| | style="text-align:center;" | 283.27
| |
| | style="text-align:center;" | 1011.678
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | <span style="background-color: #ffffff;">√3 1 √3</span>
| |
| | style="text-align:center;" | 728.159
| |
| | style="text-align:center;" | 1456.318
| |
| | style="text-align:center;" | 282.522
| |
| | style="text-align:center;" | 1010.6815
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 49\128
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 19 11 19
| |
| | style="text-align:center;" | 728.092
| |
| | style="text-align:center;" | 1456.184
| |
| | style="text-align:center;" | 282.321
| |
| | style="text-align:center;" | 1010.413
| |
| | style="text-align:center;" | 4g=27/5 minus third comma near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 31\81
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 12 7 12
| |
| | style="text-align:center;" | 727.909
| |
| | style="text-align:center;" | 1455.817
| |
| | style="text-align:center;" | 281.771
| |
| | style="text-align:center;" | 1009.68
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13\34
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 5 3 5
| |
| | style="text-align:center;" | 727.218
| |
| | style="text-align:center;" | 1454.436
| |
| | style="text-align:center;" | 279.699
| |
| | style="text-align:center;" | 1006.917
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 34\89
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13 8 13
| |
| | style="text-align:center;" | 726.59
| |
| | style="text-align:center;" | 1453.179
| |
| | style="text-align:center;" | 277.814
| |
| | style="text-align:center;" | 1004.403
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 89\233
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 34 21 34
| |
| | style="text-align:center;" | 726.498
| |
| | style="text-align:center;" | 1452.996
| |
| | style="text-align:center;" | 277.538
| |
| | style="text-align:center;" | 1004.036
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 233\610
| |
| | style="text-align:center;" | 89 55 89
| |
| | style="text-align:center;" | 726.4845
| |
| | style="text-align:center;" | 1452.969
| |
| | style="text-align:center;" | 277.4985
| |
| | style="text-align:center;" | 1003.983
| |
| | style="text-align:center;" | Golden false father
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 144\377
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 55 34 55
| |
| | style="text-align:center;" | 726.476
| |
| | style="text-align:center;" | 1452.952
| |
| | style="text-align:center;" | 277.473
| |
| | style="text-align:center;" | 1003.95
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 55\144
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 21 13 21
| |
| | style="text-align:center;" | 726.441
| |
| | style="text-align:center;" | 1452.882
| |
| | style="text-align:center;" | 277.368
| |
| | style="text-align:center;" | 1003.809
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 21\55
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 8 5 8
| |
| | style="text-align:center;" | 726.201
| |
| | style="text-align:center;" | 1452.402
| |
| | style="text-align:center;" | 276.468
| |
| | style="text-align:center;" | 1002.849
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | pi 2 pi
| |
| | style="text-align:center;" | 725.736
| |
| | style="text-align:center;" | 1451.472
| |
| | style="text-align:center;" | 275.252
| |
| | style="text-align:center;" | 1000.988
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 8\21
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 3 2 3
| |
| | style="text-align:center;" | 724.554
| |
| | style="text-align:center;" | 1449.109
| |
| | style="text-align:center;" | 271.708
| |
| | style="text-align:center;" | 996.226
| |
| | style="text-align:center;" | Optimum rank range (L/s=3/2) false father
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | ~543 361 543
| |
| | style="text-align:center;" | 724.511
| |
| | style="text-align:center;" | 1449.022
| |
| | style="text-align:center;" | 271.579
| |
| | style="text-align:center;" | 996.09
| |
| | style="text-align:center;" | 4g=16/3
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 27\71
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 10 7 10
| |
| | style="text-align:center;" | 723.279
| |
| | style="text-align:center;" | 1446.557
| |
| | style="text-align:center;" | 267.881
| |
| | style="text-align:center;" | 991.16
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 46\121
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 17 12 17
| |
| | style="text-align:center;" | 723.057
| |
| | style="text-align:center;" | 1446.115
| |
| | style="text-align:center;" | 267.217
| |
| | style="text-align:center;" | 990.274
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 65\171
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 24 17 24
| |
| | style="text-align:center;" | 722.965
| |
| | style="text-align:center;" | 1445.931
| |
| | style="text-align:center;" | 266.941
| |
| | style="text-align:center;" | 989.907
| |
| | style="text-align:center;" | 3g=7/2 near here
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 19\50
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 7 5 7
| |
| | style="text-align:center;" | 722.743
| |
| | style="text-align:center;" | 1445.486
| |
| | style="text-align:center;" | 266.274
| |
| | style="text-align:center;" | 989.017
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 11\29
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 4 3 4
| |
| | style="text-align:center;" | 721.431
| |
| | style="text-align:center;" | 1442.862
| |
| | style="text-align:center;" | 262.338
| |
| | style="text-align:center;" | 983.77
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 25\66
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 9 7 9
| |
| | style="text-align:center;" | 720.4375
| |
| | style="text-align:center;" | 1440.875
| |
| | style="text-align:center;" | 259.3575
| |
| | style="text-align:center;" | 979.795
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 64\169
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 23 18 23
| |
| | style="text-align:center;" | 720.267
| |
| | style="text-align:center;" | 1440.534
| |
| | style="text-align:center;" | 258.848
| |
| | style="text-align:center;" | 979.113
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 167\441
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 60 47 60
| |
| | style="text-align:center;" | 720.2415
| |
| | style="text-align:center;" | 1440.483
| |
| | style="text-align:center;" | 258.7965
| |
| | style="text-align:center;" | 979.001
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 437\1154
| |
| | style="text-align:center;" | 157 123 157
| |
| | style="text-align:center;" | 720.238
| |
| | style="text-align:center;" | 1440.475
| |
| | style="text-align:center;" | 258.758
| |
| | style="text-align:center;" | 978.996
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 270\713
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 97 76 97
| |
| | style="text-align:center;" | 720.235
| |
| | style="text-align:center;" | 1440.471
| |
| | style="text-align:center;" | 258.751
| |
| | style="text-align:center;" | 978.987
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 103\272
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 37 29 37
| |
| | style="text-align:center;" | 720.226
| |
| | style="text-align:center;" | 1440.451
| |
| | style="text-align:center;" | 258.722
| |
| | style="text-align:center;" | 978.947
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 39\103
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 14 11 14
| |
| | style="text-align:center;" | 720.158
| |
| | style="text-align:center;" | 1440.315
| |
| | style="text-align:center;" | 258.518
| |
| | style="text-align:center;" | 978.676
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 14\37
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 5 4 5
| |
| | style="text-align:center;" | 719.659
| |
| | style="text-align:center;" | 1439.317
| |
| | style="text-align:center;" | 257.021
| |
| | style="text-align:center;" | 976.679
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 31\82
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 11 9 11
| |
| | style="text-align:center;" | 719.032
| |
| | style="text-align:center;" | 1438.064
| |
| | style="text-align:center;" | 255.14
| |
| | style="text-align:center;" | 974.172
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 79\209
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 28 23 28
| |
| | style="text-align:center;" | 718.921
| |
| | style="text-align:center;" | 1437.842
| |
| | style="text-align:center;" | 254.807
| |
| | style="text-align:center;" | 973.728
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 206\545
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 73 60 73
| |
| | style="text-align:center;" | 718.904
| |
| | style="text-align:center;" | 1437.808
| |
| | style="text-align:center;" | 254.757
| |
| | style="text-align:center;" | 973.661
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 539\1426
| |
| | style="text-align:center;" | 191 117 191
| |
| | style="text-align:center;" | 718.902
| |
| | style="text-align:center;" | 1437.803
| |
| | style="text-align:center;" | 254.75
| |
| | style="text-align:center;" | 973.652
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 333\881
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 118 97 118
| |
| | style="text-align:center;" | 718.90
| |
| | style="text-align:center;" | 1437.80
| |
| | style="text-align:center;" | 254.745
| |
| | style="text-align:center;" | 973.6455
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 127\336
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 45 37 45
| |
| | style="text-align:center;" | 718.893
| |
| | style="text-align:center;" | 1437.787
| |
| | style="text-align:center;" | 254.726
| |
| | style="text-align:center;" | 973.619
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 48\127
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 17 14 17
| |
| | style="text-align:center;" | 718.849
| |
| | style="text-align:center;" | 1437.698
| |
| | style="text-align:center;" | 254.592
| |
| | style="text-align:center;" | 973.441
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 17\45
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 6 5 6
| |
| | style="text-align:center;" | 718.516
| |
| | style="text-align:center;" | 1437.032
| |
| | style="text-align:center;" | 253.549
| |
| | style="text-align:center;" | 972.11
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 20\53
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 7 6 7
| |
| | style="text-align:center;" | 717.719
| |
| | style="text-align:center;" | 1435.438
| |
| | style="text-align:center;" | 251.202
| |
| | style="text-align:center;" | 968.9205
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | ~401 344 401
| |
| | style="text-align:center;" | 717.695
| |
| | style="text-align:center;" | 1435.3905
| |
| | style="text-align:center;" | 251.131
| |
| | style="text-align:center;" | 968.826
| |
| | style="text-align:center;" | 4g=21/4
| |
| |-
| |
| | style="text-align:center;" | 23\61
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 8 7 8
| |
| | style="text-align:center;" | 717.131
| |
| | style="text-align:center;" | 1434.261
| |
| | style="text-align:center;" | 249.437
| |
| | style="text-align:center;" | 966.567
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | ~6682 5875 6682
| |
| | style="text-align:center;" | 716.9925
| |
| | style="text-align:center;" | 1433.985
| |
| | style="text-align:center;" | 249.0225
| |
| | style="text-align:center;" | 966.015
| |
| | style="text-align:center;" | 6g=12
| |
| |-
| |
| | style="text-align:center;" | 26\69
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 9 8 9
| |
| | style="text-align:center;" | 716.679
| |
| | style="text-align:center;" | 1433.357
| |
| | style="text-align:center;" | 248.081
| |
| | style="text-align:center;" | 964.76
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 29\77
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 10 9 10
| |
| | style="text-align:center;" | 716.321
| |
| | style="text-align:center;" | 1432.641
| |
| | style="text-align:center;" | 247.007
| |
| | style="text-align:center;" | 963.328
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 32\85
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 11 10 11
| |
| | style="text-align:center;" | 716.03
| |
| | style="text-align:center;" | 1432.06
| |
| | style="text-align:center;" | 246.135
| |
| | style="text-align:center;" | 962.1655
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 35\93
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 12 11 12
| |
| | style="text-align:center;" | 715.7895
| |
| | style="text-align:center;" | 1431.759
| |
| | style="text-align:center;" | 245.4135
| |
| | style="text-align:center;" | 961.203
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 38/101
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13 12 13
| |
| | style="text-align:center;" | 715.587
| |
| | style="text-align:center;" | 1431.174
| |
| | style="text-align:center;" | 244.806
| |
| | style="text-align:center;" | 960.393
| |
| | style="text-align:center;" | 2g=16\7 near here
| |
| |-
| |
| | style="text-align:center;" | 3\8
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 1 1 1
| |
| | style="text-align:center;" | 713.233
| |
| | style="text-align:center;" | 1426.466
| |
| | style="text-align:center;" | 237.744
| |
| | style="text-align:center;" | 950.9775
| |
| | style="text-align:center;" |
| |
| |}
| |
| .
| |
| [[Category:mos]] | |