User:Overthink/Table of 311edo intervals: Difference between revisions
Filled some gaps with reasonable ratios up to chthonic and also formatted, I think they are right and consistent |
add more ratios |
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{{Editable user page}} | {{Editable user page}} | ||
This table assumes the [[41-limit]] [[patent val]] {{Val|311 493 722 873 1076 1151 1271 1321 1407 1511 1541 1620 1666}} of [[311edo]]. Intervals that differ by their assigned steps by more than 50%, but less than 100%, are marked with ''italics''. Intervals that differ by more than 100% are not shown. | This table assumes the [[41-limit]] [[patent val]] {{Val|311 493 722 873 1076 1151 1271 1321 1407 1511 1541 1620 1666}} of [[311edo]]. Intervals that differ by their assigned steps by more than 50%, but less than 100%, are marked with ''italics''. Intervals that differ by more than 100% are not shown. Since 311edo supports true hemififths, a hemipyth marking is provided. | ||
{| class="wikitable mw-collapsible right-1 right-2" | {| class="wikitable mw-collapsible right-1 right-2" | ||
| Line 25: | Line 25: | ||
| 3.859 | | 3.859 | ||
| | | | ||
| [[325/324]], | | [[325/324]], [[385/384]] | ||
| | | [[513/512]], [[715/714]] | ||
| | |||
|- | |- | ||
| 2 | | 2 | ||
| 7.717 | | 7.717 | ||
| | | | ||
| [[196/195]], [[225/224]] | | [[196/195]], [[225/224]] | ||
| [[256/255]] | |||
| | |||
|- | |- | ||
| 3 | | 3 | ||
| 11.576 | | 11.576 | ||
| | | | ||
| [[144/143]], [[169/168]] | |||
| | |||
| | |||
|- | |- | ||
| 4 | | 4 | ||
| 15.434 | | 15.434 | ||
| | | | ||
| ''[[100/99]]'', [[121/120]] | |||
| | |||
| | |||
|- | |- | ||
| 5 | | 5 | ||
| Line 76: | Line 82: | ||
| | | | ||
| [[49/48]], [[50/49]] | | [[49/48]], [[50/49]] | ||
| [[51/50]], [[52/51]] | |||
| | |||
|- | |- | ||
| 10 | | 10 | ||
| Line 82: | Line 89: | ||
| | | | ||
| [[45/44]] | | [[45/44]] | ||
| [[46/45]] | |||
| | |||
|- | |- | ||
| 11 | | 11 | ||
| 42.444 | | 42.444 | ||
| | | | ||
| [[40/39]] | |||
| | |||
| [[41/40]], [[42/41]] | | [[41/40]], [[42/41]] | ||
|- | |- | ||
| Line 93: | Line 102: | ||
| 46.302 | | 46.302 | ||
| | | | ||
| [[39/38]], [[77/75]] | |||
| | |||
| [[37/36]], [[38/37]] | | [[37/36]], [[38/37]] | ||
|- | |- | ||
| 13 | | 13 | ||
| 50.161 | | 50.161 | ||
| | | | ||
| [[36/35]] | | [[36/35]] | ||
| [[34/33]], [[35/34]] | |||
| | |||
|- | |- | ||
| 14 | | 14 | ||
| 54.019 | | 54.019 | ||
| | | | ||
| [[33/32]], [[65/63]] | |||
| | |||
| [[32/31]] | | [[32/31]] | ||
|- | |- | ||
| Line 111: | Line 123: | ||
| 57.878 | | 57.878 | ||
| sA1 | | sA1 | ||
| | | | ||
| | |||
| [[30/29]], [[31/30]] | | [[30/29]], [[31/30]] | ||
|- | |- | ||
| Line 117: | Line 130: | ||
| 61.736 | | 61.736 | ||
| | | | ||
| [[28/27]] | |||
|[[57/55]] | |||
| [[29/28]] | | [[29/28]] | ||
|- | |- | ||
| Line 123: | Line 137: | ||
| 65.595 | | 65.595 | ||
| | | | ||
| [[27/26]], [[80/77]] | |||
| | |||
| | | | ||
|- | |- | ||
| Line 130: | Line 145: | ||
| | | | ||
| [[25/24]], [[26/25]] | | [[25/24]], [[26/25]] | ||
|[[51/49]] | | [[51/49]] | ||
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|- | |- | ||
| Line 137: | Line 152: | ||
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|[[24/23]] | | [[24/23]] | ||
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|- | |- | ||
| Line 144: | Line 159: | ||
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| | | | ||
|[[23/22]] | | [[23/22]] | ||
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|- | |- | ||
| Line 150: | Line 165: | ||
| 81.029 | | 81.029 | ||
| | | | ||
|[[22/21]] | | [[22/21]] | ||
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| Line 159: | Line 174: | ||
|[[21/20]] | |[[21/20]] | ||
| | | | ||
| | |[[41/39]] | ||
|- | |- | ||
| 23 | | 23 | ||
| Line 171: | Line 186: | ||
| 92.605 | | 92.605 | ||
| | | | ||
| | |[[135/128]] | ||
|[[19/18]] | |[[19/18]] | ||
|[[58/55]] | |[[39/37]], [[58/55]] | ||
|- | |- | ||
| 25 | | 25 | ||
| 96.463 | | 96.463 | ||
| | | | ||
| | | | ||
|[[37/35]] | | | ||
| [[37/35]] | |||
|- | |- | ||
| 26 | | 26 | ||
| 100.322 | | 100.322 | ||
| | | | ||
| | |[[35/33]] | ||
|[[18/17]] | | [[18/17]] | ||
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|- | |- | ||
| Line 192: | Line 208: | ||
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|[[17/16]] | | [[17/16]] | ||
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|- | |- | ||
| Line 198: | Line 214: | ||
| 108.039 | | 108.039 | ||
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|[[33/31]] | | | ||
| [[33/31]] | |||
|- | |- | ||
| 29 | | 29 | ||
| 111.897 | | 111.897 | ||
| | | | ||
| [[16/15]] | |||
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| | |||
|- | |- | ||
| 30 | | 30 | ||
| 115.756 | | 115.756 | ||
|A1 | |A1 | ||
| ''[[2187/2048]]'' | |||
| | |||
| [[31/29]] | | [[31/29]] | ||
|- | |- | ||
| Line 215: | Line 235: | ||
| 119.614 | | 119.614 | ||
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| [[15/14]] | |||
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| | |||
|- | |- | ||
| 32 | | 32 | ||
| 123.473 | | 123.473 | ||
| | | | ||
| | | | ||
|[[29/27]] | | | ||
| [[29/27]] | |||
|- | |- | ||
| 33 | | 33 | ||
| 127.331 | | 127.331 | ||
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| [[14/13]] | |||
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|- | |- | ||
| 34 | | 34 | ||
| 131.190 | | 131.190 | ||
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| [[41/38]] | | [[41/38]] | ||
|- | |- | ||
| Line 237: | Line 263: | ||
| 135.048 | | 135.048 | ||
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| | | [[27/25]] | ||
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|[[40/37]] | |[[40/37]] | ||
|- | |- | ||
| Line 243: | Line 270: | ||
| 138.907 | | 138.907 | ||
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| [[13/12]] | |||
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|- | |- | ||
| 37 | | 37 | ||
| 142.765 | | 142.765 | ||
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|[[25/23]] | |||
|[[38/35]] | |[[38/35]] | ||
|- | |- | ||
| Line 254: | Line 284: | ||
| 146.624 | | 146.624 | ||
| n2 | | n2 | ||
| | |[[49/45]], [[160/147]] | ||
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|[[37/34]] | |||
|- | |- | ||
| 39 | | 39 | ||
| 150.482 | | 150.482 | ||
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| [[12/11]] | |||
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|- | |- | ||
| 40 | | 40 | ||
| 154.341 | | 154.341 | ||
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| | |[[35/32]] | ||
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|[[82/75]] | |[[82/75]] | ||
|- | |- | ||
| Line 271: | Line 306: | ||
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| [[23/21]] | |||
| [[34/31]] | |||
|- | |- | ||
| 42 | | 42 | ||
| 162.058 | | 162.058 | ||
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| | | | ||
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|[[45/41]] | |[[45/41]] | ||
|- | |- | ||
| Line 282: | Line 319: | ||
| 165.916 | | 165.916 | ||
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| [[11/10]] | |||
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|- | |- | ||
| 44 | | 44 | ||
| 169.775 | | 169.775 | ||
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|[[32/29]] | |[[32/29]] | ||
|- | |- | ||
| Line 294: | Line 334: | ||
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|[[21/19]] | |||
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|- | |- | ||
| 46 | | 46 | ||
| 177.492 | | 177.492 | ||
|d3 | |d3 | ||
| | | | ||
|[[41/37]] | | | ||
|[[31/28]], [[41/37]] | |||
|- | |- | ||
| 47 | | 47 | ||
| 181.350 | | 181.350 | ||
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|[[10/9]] | |||
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|- | |- | ||
| Line 311: | Line 354: | ||
| 185.209 | | 185.209 | ||
| | | | ||
| | |[[49/44]] | ||
|[[69/62]] | | | ||
| [[69/62]] | |||
|- | |- | ||
| 49 | | 49 | ||
| 189.068 | | 189.068 | ||
| | | | ||
| | | | ||
|[[29/26]] | | | ||
| [[29/26]] | |||
|- | |- | ||
| 50 | | 50 | ||
| Line 324: | Line 369: | ||
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|[[19/17]] | | [[19/17]] | ||
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|- | |- | ||
| Line 330: | Line 375: | ||
| 196.785 | | 196.785 | ||
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|[[28/25]] | |||
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|- | |- | ||
| Line 337: | Line 382: | ||
| 200.643 | | 200.643 | ||
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|[[55/49]] | | [[55/49]] | ||
| [[64/57]] | |||
| | |||
|- | |- | ||
| 53 | | 53 | ||
| 204.502 | | 204.502 | ||
|M2 | | M2 | ||
| [[9/8]] | |||
| | |||
| | |||
|- | |- | ||
| 54 | | 54 | ||
| 208.360 | | 208.360 | ||
| | | | ||
| [[44/39]] | |||
|[[35/31]] | | | ||
| [[35/31]] | |||
|- | |- | ||
| 55 | | 55 | ||
| Line 355: | Line 404: | ||
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|[[26/23]] | |||
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|- | |- | ||
| 56 | | 56 | ||
| Line 361: | Line 411: | ||
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|[[17/15]] | |||
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|- | |- | ||
| 57 | | 57 | ||
| 219.936 | | 219.936 | ||
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|[[25/22]] | |||
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|[[42/37]] | |[[42/37]] | ||
|- | |- | ||
| Line 373: | Line 425: | ||
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|[[33/29]] | |||
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|- | |- | ||
| 59 | | 59 | ||
| Line 379: | Line 432: | ||
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|[[57/50]], [[65/57]] | |||
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|- | |- | ||
| 60 | | 60 | ||
| Line 385: | Line 439: | ||
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|[[8/7]] | |[[8/7]] | ||
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| | |||
|- | |- | ||
| 61 | | 61 | ||
| Line 391: | Line 446: | ||
|sd3 | |sd3 | ||
|[[55/48]], [[63/55]] | |[[55/48]], [[63/55]] | ||
| | | | ||
| | |||
|- | |- | ||
| 62 | | 62 | ||
| 239.228 | | 239.228 | ||
| | | | ||
| | |[[147/128]] | ||
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|[[31/27]] | |[[31/27]] | ||
|- | |- | ||
| Line 403: | Line 460: | ||
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|[[23/20]], [[38/33]] | |||
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|- | |- | ||
| 64 | | 64 | ||
| Line 409: | Line 467: | ||
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|[[15/13]] | |[[15/13]] | ||
|[[98/85]] | |||
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|- | |- | ||
| 65 | | 65 | ||
| 250.804 | | 250.804 | ||
| | | | ||
| | |[[52/45]] | ||
| | |||
|[[37/32]] | |[[37/32]] | ||
|- | |- | ||
| Line 421: | Line 481: | ||
| | | | ||
| | | | ||
| | |[[22/19]], [[80/69]] | ||
| | | | ||
|- | |- | ||
| Line 429: | Line 489: | ||
| | | | ||
| | | | ||
| | |[[29/25]], [[36/31]] | ||
|- | |- | ||
| 68 | | 68 | ||
| 262.379 | | 262.379 | ||
|sA2 | |sA2 | ||
| | |[[64/55]] | ||
| | |[[57/49]] | ||
| | | | ||
|- | |- | ||
| Line 448: | Line 508: | ||
| 270.096 | | 270.096 | ||
| | | | ||
| | |[[90/77]] | ||
| | |[[76/65]] | ||
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|- | |- | ||
| Line 455: | Line 515: | ||
| 273.955 | | 273.955 | ||
| | | | ||
|[[75/64]] | |||
| | | | ||
| | |[[34/29]], [[41/35]] | ||
|- | |- | ||
| 72 | | 72 | ||
| Line 490: | Line 550: | ||
| 293.248 | | 293.248 | ||
|m3 | |m3 | ||
|[[32/27]] | |[[32/27]], [[77/65]] | ||
| | |[[45/38]] | ||
| | | | ||
|- | |- | ||
| Line 498: | Line 558: | ||
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| | | | ||
| | |[[19/16]] | ||
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|- | |- | ||
| Line 506: | Line 566: | ||
|[[25/21]] | |[[25/21]] | ||
| | | | ||
| | |[[44/37]] | ||
|- | |- | ||
| 79 | | 79 | ||
| Line 513: | Line 573: | ||
| | | | ||
| | | | ||
| | |[[31/26]], [[37/31]] | ||
|- | |- | ||
| 80 | | 80 | ||
| Line 520: | Line 580: | ||
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| | | | ||
| | |[[49/41]] | ||
|- | |- | ||
| 81 | | 81 | ||
| Line 526: | Line 586: | ||
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| | | | ||
| | |[[91/76]] | ||
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|- | |- | ||
| Line 548: | Line 608: | ||
|[[135/112]] | |[[135/112]] | ||
| | | | ||
| | |[[35/29]] | ||
|- | |- | ||
| 85 | | 85 | ||
| Line 560: | Line 620: | ||
| 331.833 | | 331.833 | ||
| | | | ||
|[[40/33]] | |[[40/33]], [[63/52]] | ||
| | |[[23/19]] | ||
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|- | |- | ||
| Line 574: | Line 634: | ||
| 339.550 | | 339.550 | ||
| | | | ||
| | |[[243/200]] | ||
| | |[[28/23]] | ||
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|- | |- | ||
| Line 581: | Line 641: | ||
| 343.408 | | 343.408 | ||
| | | | ||
|[[39/32]] | |[[39/32]], [[128/105]] | ||
| | | | ||
|[[50/41]] | |||
|- | |- | ||
| 90 | | 90 | ||
| Line 616: | Line 676: | ||
| 362.701 | | 362.701 | ||
| | | | ||
| | |[[100/81]] | ||
| | |[[69/56]] | ||
| | |[[37/30]] | ||
|- | |- | ||
| 95 | | 95 | ||
| Line 624: | Line 684: | ||
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|[[21/17]] | |[[21/17]], [[68/55]] | ||
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|- | |- | ||
| Line 630: | Line 690: | ||
| 370.418 | | 370.418 | ||
| | | | ||
|[[26/21]] | |[[26/21]], [[99/80]] | ||
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|[[31/25]] | |||
|- | |- | ||
| 97 | | 97 | ||
| Line 639: | Line 699: | ||
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| | | | ||
|[[36/29]] | |[[36/29]], [[41/33]] | ||
|- | |- | ||
| 98 | | 98 | ||
| 378.135 | | 378.135 | ||
| | | | ||
|[[56/45]] | |||
| | | | ||
| | |[[46/37]], [[51/41]] | ||
|- | |- | ||
| 99 | | 99 | ||
| 381.994 | | 381.994 | ||
|d4 | |d4 | ||
| | |[[81/65]], [[96/77]] | ||
| | | | ||
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| Line 666: | Line 726: | ||
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| | | | ||
| | |[[114/91]] | ||
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|- | |- | ||
| Line 672: | Line 732: | ||
| 393.569 | | 393.569 | ||
| | | | ||
| | |[[49/39]] | ||
| | |[[64/51]], [[69/55]] | ||
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|- | |- | ||
| Line 679: | Line 739: | ||
| 397.428 | | 397.428 | ||
| | | | ||
| | |[[44/35]] | ||
| | |[[34/27]] | ||
| | |[[39/31]] | ||
|- | |- | ||
| 104 | | 104 | ||
| Line 688: | Line 748: | ||
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| | | | ||
| | |[[29/23]] | ||
|- | |- | ||
| 105 | | 105 | ||
| 405.145 | | 405.145 | ||
| | | | ||
| | |[[91/72]] | ||
| | |[[24/19]] | ||
| | | | ||
|- | |- | ||
| Line 701: | Line 761: | ||
|M3 | |M3 | ||
|[[81/64]] | |[[81/64]] | ||
| | |[[19/15]] | ||
| | | | ||
|- | |- | ||
| Line 742: | Line 802: | ||
| 432.154 | | 432.154 | ||
| | | | ||
| | |[[77/60]] | ||
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| | | | ||
| Line 757: | Line 817: | ||
|sd4 | |sd4 | ||
| | | | ||
| | |[[49/38]] | ||
| | |[[40/31]] | ||
|- | |- | ||
| 115 | | 115 | ||
| Line 765: | Line 825: | ||
|[[128/99]] | |[[128/99]] | ||
| | | | ||
| | |[[31/24]] | ||
|- | |- | ||
| 116 | | 116 | ||
| 447.588 | | 447.588 | ||
| | | | ||
| | |[[35/27]] | ||
| | |[[22/17]], [[57/44]] | ||
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|- | |- | ||
| Line 777: | Line 837: | ||
| 451.447 | | 451.447 | ||
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| | |[[135/104]] | ||
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| Line 792: | Line 852: | ||
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| | |[[30/23]] | ||
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|- | |- | ||
| Line 798: | Line 858: | ||
| 463.023 | | 463.023 | ||
| | | | ||
| | |[[64/49]], [[98/75]] | ||
| | |[[17/13]] | ||
| | |[[81/62]] | ||
|- | |- | ||
| 121 | | 121 | ||
| 466.881 | | 466.881 | ||
|sA3 | |sA3 | ||
|[[55/42]], [[72/55]] | |||
| | | | ||
| | |[[38/29]] | ||
|- | |- | ||
| 122 | | 122 | ||
| Line 820: | Line 880: | ||
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| | |[[25/19]] | ||
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|- | |- | ||
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| | |[[29/22]] | ||
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| 125 | | 125 | ||
| 482.315 | | 482.315 | ||
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|[[33/25]] | |||
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| | |[[37/28]] | ||
|- | |- | ||
| 126 | | 126 | ||
| Line 841: | Line 901: | ||
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| | |[[45/34]] | ||
| | |[[49/37]] | ||
|- | |- | ||
| 127 | | 127 | ||
| 490.032 | | 490.032 | ||
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| | |[[65/49]] | ||
| | |[[69/52]], [[85/64]] | ||
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|- | |- | ||
| Line 889: | Line 949: | ||
| 513.183 | | 513.183 | ||
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|[[35/26]] | |||
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| | |[[39/29]] | ||
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| 134 | | 134 | ||
| Line 898: | Line 958: | ||
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| | |[[31/23]] | ||
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| 135 | | 135 | ||
| Line 905: | Line 965: | ||
|[[27/20]] | |[[27/20]] | ||
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| | |[[50/37]] | ||
|- | |- | ||
| 136 | | 136 | ||
| Line 911: | Line 971: | ||
|A3 | |A3 | ||
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| | |[[23/17]] | ||
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|- | |- | ||
| Line 918: | Line 978: | ||
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| | |[[19/14]] | ||
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| | |[[34/25]] | ||
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|- | |- | ||
| Line 931: | Line 991: | ||
| 536.334 | | 536.334 | ||
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| | |[[15/11]] | ||
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| Line 940: | Line 1,000: | ||
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| | |[[41/30]] | ||
|- | |- | ||
| 141 | | 141 | ||
| Line 946: | Line 1,006: | ||
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| | |[[26/19]] | ||
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|- | |- | ||
| Line 952: | Line 1,012: | ||
| 547.910 | | 547.910 | ||
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| | |[[48/35]] | ||
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| Line 980: | Line 1,040: | ||
| 563.344 | | 563.344 | ||
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| | |[[18/13]] | ||
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| Line 987: | Line 1,047: | ||
| 567.203 | | 567.203 | ||
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| | |[[25/18]] | ||
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| Line 1,001: | Line 1,061: | ||
| 574.920 | | 574.920 | ||
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| | |[[39/28]] | ||
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| Line 1,030: | Line 1,090: | ||
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|[[45/32]] | |[[45/32]] | ||
| | |[[38/27]] | ||
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|- | |- | ||
| Line 1,036: | Line 1,096: | ||
| 594.212 | | 594.212 | ||
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|[[55/39]] | |||
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| 155 | | 155 | ||
| Line 1,044: | Line 1,104: | ||
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|m6 | |m6 | ||
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|n6 | |n6 | ||
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|sA7 | |sA7 | ||
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