fréquence (XLS) - Fichier XLS

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fréquence (XLS)

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fréq. de vibration
Diapason 0.6858 m 0 65m = 25 5"  0 6858m = 27"          
Note A Si Mi La Ré Sol Si Mi     
Fréquence à vide (Hz) 55.0 61.73541265701551 82.40688922821748 110.0 146.8323839587038 195.99771799087466 246.94165062806212 329.62755691287003     
Vélocité (kg/Nm) 75.438 84.67629200036247 113.02928926542309 150.876 201.3952978377581 268.8304699962837 338.70516800145 452.1171570616925     
            1.0594630943592953 
Masse Vol. Acier 7800.0 Kg/m3           
Tirant choisi 0.062 0.062 0.052 0.042 0.03 0.017 0.013 0.01     
Diam (m) 0.0015748000000000001 0.0015748000000000001 0.0013208 0.0010668000000000001 0.0007620000000000001 0.00043180000000000003 0.0003302 0.00025400000000000005     
Masse lin. 0.015192711687276097 0.015192711687276097 0.010687068783141143 0.006971889546398292 0.003557086503264435 0.0011422199993815798 0.0006679417989463214 0.0003952318336960484     
Tension résultante (N) 86.46007902936302 108.93287354466872 136.53393216503517 158.7050774274676 144.27566330866753 82.54803558145734 76.62707858084921 80.78930897339369     
Equivalent kg 8.813463713492661 11.104268455114038 13.9178320249781 16.177887607285175 14.706999317906986 8.41468252614244 7.811119121391357 8.235403565075808     
           kg  m²
Somme (kg) 79.22279024708322          m s² 
L (cm)   fréquence (Hz)          
8.579999999999565 439.6153846154069 493.4515850837224 658.6788418731284 879.2307692308138 1173.6322717818668 1566.6111305145532 1973.8063403348904 2634.7153674925144     
8.779999999999564 429.60136674261815 482.2112300704252 643.6747680263593 859.2027334852363 1146.8980514679276 1530.9252277693452 1928.8449202817014 2574.699072105438     
8.979999999999563 420.0334075724035 471.47155902208567 629.3390270903597 840.066815144807 1121.3546650209794 1496.828897529492 1885.8862360883431 2517.3561083614395     
9.179999999999563 410.882352941196 461.1998474965495 615.6279371755363 821.764705882392 1096.9242801621333 1464.218246167192 1844.7993899861988 2462.511748702146     
9.379999999999562 402.12153518125547 451.3661620488615 602.5015419265904 804.2430703625109 1073.5357027599548 1432.9982409184233 1805.4646481954467 2410.0061677063627     
9.579999999999561 393.72651356995544 441.9430688954402 589.9232216358469 787.4530271399109 1051.1236839131907 1403.0817849493528 1767.7722755817615 2359.6928865433883     
9.77999999999956 385.6748466257842 432.9053783249809 577.8593520727411 771.3496932515684 1029.6283120540243 1374.3889059115324 1731.6215132999241 2311.4374082909653     
9.97999999999956 377.9458917835838 424.229919841514 566.279004335812 755.8917835671676 1008.9944781451252 1346.8460420656088 1696.9196793660567 2265.1160173432486     
10.17999999999956 370.52062868370956 415.8953438131932 555.1536800855991 741.0412573674191 989.1714039183047 1320.385412555478 1663.5813752527733 2220.6147203423975     
10.379999999999558 363.38150289018887 407.88194605185964 544.4570773864542 726.7630057803777 970.1122246520553 1294.9444604831172 1631.5277842074393 2177.828309545818     
10.579999999999558 356.51228733460846 400.1715122890643 534.1648831069367 713.0245746692169 951.7736192711084 1270.4653591507322 1600.6860491562577 2136.6595324277478     
10.779999999999557 349.8979591836879 392.7471799645916 524.2545884296277 699.7959183673757 934.1154816222931 1246.8945732666732 1570.988719858367 2097.0183537185117     
10.979999999999556 343.5245901639483 385.5933151200632 514.7053245238053 687.0491803278966 917.1006276765312 1224.182468106988 1542.3732604802535 2058.821298095222     
11.179999999999556 337.37924865833185 378.6954025061084 505.4977158561162 674.7584973166637 900.6945341581669 1202.2829606274345 1514.781610024434 2021.9908634244655     
11.379999999999555 331.4499121265507 372.03994727752973 496.61374896936513 662.8998242531014 884.8651047353513 1181.1532073650887 1488.1597891101194 1986.4549958774612     
11.579999999999554 325.7253886010488 365.6143868754997 488.0366548593585 651.4507772020976 869.5824604394035 1160.7533246817532 1462.4575475019992 1952.1466194374348     
11.779999999999553 320.1952461799782 359.40701188610217 479.7508033337325 640.3904923599564 854.8187514336407 1141.0461375054917 1437.6280475444094 1919.0032133349307     
11.979999999999553 314.84974958264945 353.40689482623384 471.74160795253465 629.6994991652989 840.5479876367513 1121.996953239957 1413.6275793049358 1886.9664318101393     
12.179999999999552 309.6798029556764 347.60382594567153 463.99544033426616 619.3596059113528 826.7458860335202 1103.57335794866 1390.4153037826866 1855.9817613370653     
12.379999999999551 304.6768982229513 341.9882552518802 456.4995527682843 609.3537964459026 813.3897327858053 1085.7450322952077 1367.9530210075213 1825.9982110731378     
12.57999999999955 299.83306836249085 336.5512400650457 449.24200820916985 599.6661367249817 800.4582584966824 1068.4835850409113 1346.2049602601833 1796.96803283668     
12.77999999999955 295.14084507043293 331.2843974975174 442.21161684439386 590.2816901408659 787.9315251868748 1051.7624021764207 1325.13758999007 1768.8464673775761     
12.97999999999955 290.59322033899315 326.1798613265231 435.39787852629814 581.1864406779863 775.7908237202045 1035.5565100011286 1304.719445306093 1741.5915141051933     
13.179999999999549 286.18361153263504 321.23024279349534 428.7909304454741 572.3672230652701 764.0185805681526 1019.8424506687895 1284.9209711739818 1715.163721781897     
13.379999999999548 281.9058295964221 316.42859491915294 422.381499497111 563.8116591928442 752.5982729363412 1004.5981688949655 1265.7143796766122 1689.5259979884447     
13.579999999999547 277.75405007364697 311.76837997188983 416.16085885650534 555.5081001472939 741.5143513908866 989.8029086755988 1247.0735198875598 1664.643435426022     
13.779999999999546 273.72278664732397 307.2434397691047 410.1207883360915 547.4455732946479 730.7521692226587 975.4371189996101 1228.9737590764194 1640.4831533443667     
13.979999999999546 269.8068669527985 302.8479685277726 404.25353814530314 539.613733905597 720.2979178746948 961.4823676548369 1211.3918741110908 1617.0141525812132     
14.179999999999545 266.0014104372441 298.57648801257113 398.5517957173015 532.0028208744882 710.1385678341486 947.921262328252 1194.305952050285 1594.2071828692067     
14.379999999999544 262.3018080667677 294.423824757876 393.008655303987 524.6036161335354 700.261814456761 934.7373782903065 1177.6952990315044 1572.0346212159486     
14.579999999999544 258.7037037037118 290.38508916448944 387.6175900734795 517.4074074074236 690.6560282502209 921.91519203118 1161.540356657958 1550.4703602939187     
14.779999999999543 255.20297699594835 286.45565629352194 382.37242647302634 510.4059539918967 681.3102091940607 909.4400202851556 1145.822625174088 1529.4897058921058     
14.979999999999542 251.7957276368568 282.63114819881525 377.26732064561594 503.5914552737136 672.2139447188392 897.2979639395589 1130.5245927952612 1509.0692825824642     
15.179999999999541 248.47826086957275 278.90741765601126 372.29673671089097 496.9565217391455 663.3573710071284 885.4758563777727 1115.6296706240455 1489.1869468435646     
15.37999999999954 245.247074122244 275.28053316113454 367.4554267406582 490.494148244488 654.7311373139275 873.9612158527038 1101.1221326445386 1469.8217069626332     
15.57999999999954 242.0988446726644 271.7467650846115 362.7384122767215 484.1976893453288 646.3263730351863 862.7422015285352 1086.9870603384466 1450.9536491068866     
15.77999999999954 239.03041825095755 268.3025728782159 358.14096725420274 478.0608365019151 638.134657280621 851.8075728653091 1073.210291512864 1432.5638690168116     
15.979999999999539 236.03879849812947 264.9445932426937 353.65860220721635 472.07759699625893 630.1479907314265 841.1466520534776 1059.778372970775 1414.634408828866     
16.179999999999538 233.12113720643433 261.6696291729446 349.2870496459404 466.24227441286865 622.3587695851787 830.749289234522 1046.678516691779 1397.148198583762     
16.379999999999537 230.2747252747318 258.47463980575355 345.02225050496423 460.5494505494636 614.7597614095354 820.6058302695094 1033.8985592230144 1380.0890020198574     
16.579999999999536 227.49698431846232 255.35673100230647 340.8603415724555 454.99396863692465 607.3440827435577 810.7070868404439 1021.4269240092262 1363.4413662898226     
16.779999999999536 224.7854588796248 252.31314660418593 336.7976438183141 449.5709177592496 600.1051783008453 801.0443086897827 1009.2525864167441 1347.1905752732569     
16.979999999999535 222.13780918728526 249.34126030731682 332.8306515471914 444.2756183745705 593.0368016424135 791.6091578218229 997.3650412292676 1331.322606188766     
17.179999999999534 219.5518044237545 246.4385681035063 328.9560223091564 439.103608847509 586.1329971995447 782.3936845060855 985.7542724140254 1315.8240892366262     
17.379999999999534 217.025316455702 243.60268124385712 325.17056750697964 434.050632911404 579.3880835378696 773.3903049375457 974.4107249754288 1300.682270027919     
17.579999999999533 214.55631399317977 240.8313196824935 321.4712436445566 429.11262798635954 572.7966377638323 764.5917804217601 963.3252787299743 1285.8849745782268     
17.779999999999532 212.14285714286274 238.12230596278036 317.85514416599005 424.2857142857255 566.3534809835867 755.9911979648222 952.4892238511218 1271.4205766639607     
17.97999999999953 209.7830923248108 235.47355951158139 314.31949183933824 419.5661846496216 560.0536647323786 747.5819521587616 941.8942380463259 1257.2779673573534     
18.17999999999953 207.47524752475783 232.8830913101338 310.86163164308584 414.95049504951567 553.8924582996791 739.3577282626255 931.5323652405356 1243.4465265723438     
18.37999999999953 205.21762785637088 230.34899891285264 307.47902411704564 410.43525571274176 547.8653368818369 731.312486388168 921.3959956514109 1229.916096468183     
18.57999999999953 203.00861141012354 227.8694617878488 304.1692391426963 406.01722282024707 541.967970499901 723.4404467069173 911.4778471513954 1216.6769565707857     
18.77999999999953 200.84664536741718 225.44273695517728 300.92995012094224 401.69329073483436 536.1962136255675 715.7360756024771 901.7709478207094 1203.7198004837694     
18.979999999999528 198.7302423603843 223.06715490085503 297.7589285179818 397.4604847207686 530.5460954630219 708.1940726983413 892.2686196034205 1191.0357140719277     
19.179999999999527 196.65797705944175 220.74111574651863 294.6540387524136 393.3159541188835 525.0138108387983 700.8093586973157 882.9644629860749 1178.616155009655     
19.379999999999526 194.62848297214097 218.46308565625523 291.61323339893147 389.25696594428194 519.5957116557353 693.577063973917 873.8523426250213 1166.4529335957263     
19.579999999999526 192.64044943820693 216.2315934636479 288.63454868596995 385.28089887641386 514.288298870692 686.4925178659096 864.9263738545919 1154.5381947438802     
19.779999999999525 190.6926188068802 214.04522750344918 285.71610026649597 381.3852376137604 509.08821495895586 679.5512386154958 856.180910013797 1142.8644010659843     
19.979999999999524 188.78378378378827 211.90263263354473 282.85607924280725 377.56756756757653 503.9922368312385 672.7489239146398 847.6105305341792 1131.4243169712292     
20.179999999999524 186.9127849355842 209.80250743400512 280.05274842771496 373.8255698711684 498.9972691718604 666.0814420126115 839.2100297360207 1120.2109937108603     
20.379999999999523 185.07850834151563 207.74360157106096 277.30443882587275 370.15701668303126 494.1003381691924 659.5448233471294 830.9744062842441 1109.2177553034915     
20.579999999999522 183.27988338192844 205.72471331478238 274.60954632027625 366.5597667638569 489.29858561166856 653.1352526634837 822.8988532591297 1098.4381852811055     
20.77999999999952 181.51588065447964 203.74468720010688 271.96652855010996 363.0317613089593 484.5892633247419 646.849061588763 814.9787488004278 1087.8661142004403     
20.97999999999952 179.785510009537 201.80241182165014 269.3739019671727 359.571020019074 479.9697279260312 640.6827216308146 807.2096472866008 1077.4956078686912     
21.17999999999952 178.0878186968879 199.896817753457 266.83023905907845 356.1756373937758 475.4374358776267 634.6328375738663 799.5872710138282 1067.3209562363143     
21.37999999999952 176.42188961646795 198.02687558551068 264.33416572831067 352.8437792329359 470.98993881609596 628.696141244831 792.1075023420431 1057.336662913243     
21.57999999999952 174.78683966636163 196.1915940694262 261.88435881701946 349.57367933272326 466.6248791421747 622.8694856262504 784.7663762777051 1047.5374352680783     
21.779999999999518 173.18181818182202 194.3900183663093 259.4795437681946 346.36363636364405 462.3399858534494 617.1498392935941 777.5600734652375 1037.918175072779     
21.979999999999517 171.60600545951243 192.62122839027373 257.11849241452586 343.21201091902486 458.13307060455537 611.5342811562548 770.4849135610951 1028.473969658104     
22.179999999999517 170.05861136159072 190.8843372415787 254.80002088689258 340.11722272318144 454.00202398052863 606.0199954830694 763.537348966315 1019.2000835475707     
22.379999999999516 168.5388739946417 189.1784897237808 252.52298763499894 337.0777479892834 449.9448119699787 600.6042671945698 756.7139588951235 1010.0919505399962     
22.579999999999515 167.0460584588167 187.50286093969063 250.2862915532009 334.0921169176334 445.95947262569183 595.284477405424 750.0114437587628 1001.1451662128039     
22.779999999999514 165.57945566286568 185.8566549612912 248.08887020506035 331.15891132573137 442.0441129011466 590.0580992016888 743.4266198451651 992.3554808202418     
22.979999999999514 164.13838120104785 184.2391035691128 245.92969814061243 328.2767624020957 438.1969056522245 584.9226936385757 736.9564142764516 983.7187925624501     
23.179999999999513 162.72217428818288 182.64946505686854 243.8077853007452 325.44434857636577 434.4160867941379 579.8759059454042 730.5978602274744 975.2311412029811     
23.379999999999512 161.3301967493618 181.08702309744277 241.72217550347614 322.6603934987236 430.6999526042821 574.9154619253407 724.3480923897713 966.888702013905     
23.57999999999951 159.96183206107202 179.55108566659078 239.67194500726342 319.92366412214403 427.04685716234576 570.0391645383571 718.2043426663633 958.687780029054     
23.77999999999951 158.61648444070974 178.0409840209508 237.6562011468154 317.2329688814195 423.455209919601 565.2448906566215 712.1639360838035 950.624804587262     
23.97999999999951 157.2935779816546 176.55607172719806 235.6740810371672 314.5871559633092 419.9234733898295 560.5305879822544 706.2242869087926 942.6963241486692     
24.17999999999951 155.99255583126867 175.09572373938002 233.72475034207068 311.98511166253735 416.4501609548432 555.8942721180503 700.3828949575203 934.899001368283     
24.37999999999951 154.71287940935503 173.65933552166564 231.80740210300524 309.42575881871005 413.0338347780192 551.3340237823812 694.6373420866628 927.2296084120213     
24.579999999999508 153.4540276647712 172.2463222139222 229.9212556253567 306.9080553295424 409.67310381969514 546.8479861600673 688.9852888556891 919.6850225014272     
24.779999999999507 152.21549636804176 170.85611783770005 228.06555541853376 304.4309927360835 406.36662194867256 542.4343623815356 683.4244713508004 912.2622216741354     
24.979999999999507 150.99679743795335 169.48817454036055 226.23957018700023 301.9935948759067 403.1130861444397 538.0914131230764 677.9526981614424 904.9582807480012     
25.179999999999506 149.7974583002412 168.1419618752266 224.44259186939098 299.5949166004824 399.91123478507154 533.8174543214633 672.5678475009066 897.7703674775643     
25.379999999999505 148.61702127659865 166.81696611576857 222.67393472306009 297.2340425531973 396.7598460160797 529.6108549966291 667.2678644630745 890.6957388922407     
25.579999999999504 147.45504300234845 165.51268960196268 220.93293445157406 294.9100860046969 393.6577361957819 525.4700351764834 662.0507584078509 883.7317378062966     
25.779999999999504 146.31109387122083 164.22865011707543 219.2189473728186 292.62218774244167 390.6037584130372 521.393463918326 656.914600468302 876.8757894912746     
25.979999999999503 145.18475750577645 162.9643802932334 217.53134962552974 290.3695150115529 387.59680107344485 517.379657421649 651.8575211729338 870.1253985021193     
26.179999999999502 144.07563025210356 161.71942704424 215.86953641219486 288.15126050420713 384.63578655034746 513.4271772274423 646.8777081769603 863.4781456487798     
26.3799999999995 142.9833206975008 160.4933510241927 214.2329212763935 285.9666413950016 381.71966989719846 509.53462849941 641.973404096771 856.9316851055744     
26.5799999999995 141.90744920993492 159.28572611054184 212.6209354127637 283.81489841986985 378.8474376180622 505.7006583827854 637.1429044421676 850.4837416510552     
26.7799999999995 140.8476474981356 158.09613891031375 211.03302700788873 281.6952949962712 376.01810649320737 501.92395443668545 632.3845556412552 844.1321080315553     
26.9799999999995 139.80355819125538 156.9241882882951 209.46866061049886 279.60711638251075 373.2307224569345 498.203243136191 627.6967531531807 837.8746424419958     
27.1799999999995 138.77483443708866 155.7694849160486 207.92731652947973 277.5496688741773 370.48435952494816 494.5372884405604 623.0779396641947 831.7092661179191     
27.379999999999498 137.7611395178988 154.63165084069396 206.4084902582636 275.5222790357976 367.7781187687396 490.92489042419396 618.5266033627761 825.6339610330548     
27.579999999999497 136.76214648296116 153.51031907245107 204.91169192426602 273.5242929659223 365.1111273345935 487.3648839671656 614.0412762898044 819.6467676970644     
27.779999999999497 135.7775377969787 152.40513319 203.43644576210426 271.5550755939574 362.4825375049707 483.85613750231914 609.6205327600002 813.7457830484174     
27.979999999999496 134.80700500357642 151.31574696276627 201.98228960940875 269.61401000715284 359.8915258001461 480.3975518160982 605.2629878510652 807.9291584376352     
28.179999999999495 133.8502484031252 150.24182398929025 200.54877442410418 267.7004968062504 357.337292118101 476.98805890044093 600.9672959571612 802.1950976964171     
28.379999999999495 132.90697674418843 149.1830373508879 199.13546382210203 265.81395348837685 354.8190589107852 473.6266208532214 596.7321494035518 796.5418552884083     
28.579999999999494 131.97690692792395 148.13906927985298 197.74193363440358 263.9538138558479 352.33607039496445 470.3122288248573 592.5562771194121 790.9677345376147     
28.779999999999493 131.0597637248112 147.109610841494 196.36777148267038 262.1195274496224 349.8875917959723 467.0439020088402 588.4384433659762 785.4710859306819     
28.979999999999492 130.15527950310786 146.09436162933739 195.01257637236898 260.3105590062157 347.47290862277714 463.8206866740655 584.3774465173497 780.0503054894762     
29.17999999999949 129.26319396847381 145.09302947286488 193.67595830264747 258.52638793694763 345.0913259728609 460.6416552369575 580.3721178914598 774.7038332105902     
29.37999999999949 128.3832539142296 144.10533015718846 192.3575378921461 256.7665078284592 342.7421678654895 457.5059053714914 576.421320628754 769.4301515685847     
29.57999999999949 127.51521298174663 143.13098715409723 191.05694601998823 255.03042596349326 340.42477660203105 454.4125591553217 572.5239486163891 764.2277840799532     
29.77999999999949 126.65883143049244 142.1697313639421 189.77382348123746 253.31766286098488 338.13851215205096 451.3607622503161 568.6789254557686 759.09529392495     
29.97999999999949 125.81387591728033 141.22130086785174 188.50782065614578 251.62775183456066 335.88275156397856 448.349683115891 564.8852034714072 754.0312826245834     
30.179999999999488 124.98011928429635 140.28544068980102 187.258597192553 249.9602385685927 333.6568883992073 445.3785122536253 561.1417627592043 749.0343887702123     
30.379999999999487 124.15734035549912 139.36190256807748 186.0258217008311 248.31468071099823 331.4603321885475 442.44646148171194 557.4476102723102 744.1032868033247     
30.579999999999487 123.34532374100927 138.45044473571596 184.80917146079952 246.69064748201853 329.29250791000896 439.5527632378813 553.8017789428641 739.2366858431984     
30.779999999999486 122.54385964912485 137.550831709493 183.60833214006655 245.0877192982497 327.152855486942 436.6966699095 550.2033268379721 734.4333285602665     
30.979999999999485 121.75274370561856 136.6628340870947 182.42299752328108 243.5054874112371 325.04082930561884 433.87745318961936 546.651336348379 729.6919900931247     
31.179999999999485 120.97177677998917 135.78622835209086 181.25286925180396 241.94355355997834 322.95589775138137 431.0944034578065 543.1449134083637 725.0114770072162     
31.379999999999484 120.20076481835761 134.92079668636688 180.09765657333483 240.40152963671522 320.89754276252614 428.3468291846528 539.6831867454677 720.3906262933396     
31.579999999999483 119.43951868271252 134.0663267896831 178.95707610105276 238.87903736542503 318.86525940114217 425.6340563589108 536.2653071587325 715.8283044042113     
31.779999999999482 118.68785399622598 133.2226117060476 177.8308515818517 237.37570799245196 316.8585554401532 422.9554279362619 532.8904468241906 711.323406327407     
31.97999999999948 117.9455909943734 132.3894496566039 176.71871367327225 235.8911819887468 314.8769509658558 420.310303308768 529.5577986264157 706.8748546930892     
32.17999999999948 117.21255438160537 131.5666438787505 175.6203997287522 234.42510876321074 312.91997799527866 417.6980577941082 526.2665755150023 702.481598915009     
32.379999999999484 116.48857319333106 130.7540024712227 174.5356535908352 232.97714638666213 310.9871801077228 415.118082143743 523.0160098848909 698.1426143633411     
32.57999999999949 115.77348066298525 129.95133824488 173.46422539199642 231.5469613259705 309.07811208987306 412.5697820691957 519.8053529795201 693.8569015679859     
32.77999999999949 115.06711409396152 129.15846857895633 172.40587136275906 230.13422818792304 307.1923395939006 410.052577785674 516.6338743158256 689.6234854510365     
32.97999999999949 114.36931473620552 128.37521528254058 171.36035364679324 228.73862947241105 305.32943880800667 407.56590357229805 513.5008611301625 685.4414145871732     
33.179999999999495 113.67992766727117 127.60140446106655 170.32744012270166 227.35985533454235 303.4889961388806 405.10920734823355 510.4056178442664 681.3097604908069     
33.3799999999995 112.99880167765299 126.83686638760297 169.30690423221208 225.99760335530598 301.6706079055739 402.68195026406187 507.34746555041204 677.2276169288485     
33.5799999999995 112.32578916021609 126.0814353787429 168.2985248145098 224.65157832043218 299.87388004431375 400.28360630775416 504.32574151497175 673.1940992580394     
33.779999999999504 111.66074600355404 125.33494967490188 167.30208594645464 223.32149200710808 298.09842782380264 397.91366192464125 501.3397986996077 669.2083437858188     
33.97999999999951 111.00353148911286 124.59725132484358 166.31737678844135 222.00706297822572 296.34387557057244 395.57161565080577 498.3890052993745 665.2695071537656     
34.17999999999951 110.35400819192668 123.86818607425933 165.344191435671 220.70801638385336 294.60985640398036 393.25697775934395 495.4727442970375 661.3767657426843     
34.37999999999951 109.71204188481832 123.14760325823687 164.38232877461417 219.42408376963664 292.89601198045517 390.96926991897544 492.59041303294765 657.5293150984569     
34.579999999999515 109.07750144592403 122.43535569746045 163.4315923444544 218.15500289184806 291.20199224661786 388.7080248644989 489.741422789842 653.7263693778178     
34.77999999999952 108.45025876940922 121.73129959799259 162.4917902033132 216.90051753881843 289.5274552009214 386.47278607861904 486.9251983919705 649.967160813253     
34.97999999999952 107.83018867924676 121.03529445449345 161.56273479906324 215.66037735849352 287.87206666346606 384.26310748468745 484.141177817974 646.2509391962532     
35.179999999999524 107.21716884593665 120.34720295674192 160.64424284454893 214.4343376918733 286.23550005366803 382.07855314992514 481.38881182696787 642.5769713781959     
35.37999999999953 106.61107970605003 119.66689089932673 159.73613519703872 213.22215941210007 284.6174361754675 379.9186969987101 478.6675635973071 638.9445407881551     
35.57999999999953 106.01180438448708 118.9942270943839 158.83823674174337 212.02360876897416 283.01756300978184 377.78312253553577 475.9769083775358 635.3529469669737     
35.77999999999953 105.4192286193418 118.32908328726043 157.95037627924057 210.8384572386836 281.4355755139194 375.6714225772599 473.3163331490419 631.8015051169625     
35.979999999999535 104.83324068927318 117.67133407499105 157.07238641665447 209.66648137854637 279.87117542768306 373.58319899428454 470.6853362999644 628.2895456666181     
36.17999999999954 104.25373134328491 117.02085682747864 156.20410346244407 208.50746268656982 278.32407108590473 371.51806246031936 468.0834273099147 624.8164138497765     
36.37999999999954 103.68059373282155 116.37753161127479 155.34536732466262 207.3611874656431 276.7939772371642 369.4756322104001 465.51012644509933 621.3814692986507     
36.57999999999954 103.11372334609204 115.74124111586046 154.49602141255397 206.2274466921841 275.28061486845354 367.45553580684395 462.964964463442 617.9840856502161     
36.779999999999546 102.55301794453634 115.11187058233212 153.6559125413601 205.10603588907267 273.7837110355636 365.4574089128426 460.44748232932864 614.6236501654406     
36.97999999999955 101.99837750135332 114.48930773440169 152.82489084021694 203.99675500270664 272.30299869897317 363.4808950734004 457.95723093760694 611.2995633608681     
37.17999999999955 101.44970414201306 113.87344271162384 152.00280966302373 202.89940828402612 270.8382165650357 361.52564550334444 455.4937708464955 608.0112386520951     
37.379999999999555 100.90690208667857 113.26416800476655 151.18952550217284 201.81380417335714 269.3891089322639 359.59131888213864 453.0566720190663 604.7581020086916     
37.57999999999956 100.36987759446633 112.66137839324568 150.38489790503516 200.73975518893266 267.95542554252324 357.67758115525123 450.6455135729829 601.5395916201409     
37.77999999999956 99.83853890947707 112.06497088454664 149.5887893930974 199.67707781895413 266.53692143695133 355.78410534183007 448.2598835381867 598.3551575723898     
37.97999999999956 99.31279620853195 111.47484465556008 148.80106538365507 198.6255924170639 265.13335681643025 353.91057134845545 445.8993786222405 595.2042615346205     
38.179999999999566 98.79256155055114 110.89090099576141 148.0215941139659 197.58512310110228 263.74449690644366 352.05666578874633 443.5636039830458 592.0863764558638     
38.37999999999957 98.27774882751544 110.31304325216703 147.25024656777535 196.55549765503088 262.3701118261599 350.22208180860696 441.25217300866825 589.0009862711016     
38.57999999999957 97.76827371695288 109.74117677600235 146.48689640412695 195.53654743390575 261.00997646158675 348.4065189169086 438.9647071040095 585.947585616508     
38.779999999999575 97.26405363589586 109.17520887102036 145.73141988837588 194.52810727179173 259.66387034265125 346.6096828214113 436.7008354840816 582.9256795535036     
38.97999999999958 96.76500769625555 108.61504874341122 144.9836958253262 193.5300153925111 258.331577524064 344.83128526973655 434.460194973645 579.9347833013051     
39.17999999999958 96.27105666156305 108.06060745324575 144.2436054944159 192.5421133231261 257.01288646983187 343.07104389521 432.2424298129831 576.9744219776638     
39.37999999999958 95.78212290502896 107.51179786739888 143.51103258687695 191.5642458100579 255.7075899412903 341.3286820674029 430.0471914695957 574.044130347508     
39.579999999999586 95.29813036887417 106.96853461390013 142.78586314480074 190.59626073774834 254.41548488852982 339.6039287472037 427.8741384556007 571.1434525792032     
39.77999999999959 94.81900452488786 106.43073403766131 142.06798550204155 189.63800904977572 253.1363723450983 337.89651834626255 425.7229361506454 568.2719420081664     
39.97999999999959 94.34467233616904 105.89831415753292 141.35729022689375 188.68934467233808 251.87005732586312 336.20619059065336 423.59325663013186 565.4291609075752     
40.179999999999595 93.8750622200109 105.37119462464325 140.6536700664811 187.7501244400218 250.61634872792453 334.53269038860924 421.4847784985732 562.6146802659247     
40.3799999999996 93.410104011888 104.84929668197536 139.95701989279868 186.820208023776 249.37505923447264 332.87576770218715 419.3971867279016 559.828079571195     
40.5799999999996 92.94972893050856 104.33254312513961 139.26723665035018 185.8994578610171 248.14600522148854 331.2351774227284 417.33017250055855 557.068946601401     
40.7799999999996 92.49386954389496 103.82085826430026 138.58421930532637 184.98773908778992 246.92900666718987 329.6106792499832 415.28343305720114 554.3368772213057     
40.979999999999606 92.0424597364577 103.31416788721728 137.90786879627157 184.0849194729154 245.7238870641289 328.00203757477584 413.25667154886924 551.6314751850865     
41.17999999999961 91.59543467702855 102.81239922336482 137.23808798618765 183.1908693540571 244.5304733338514 326.4090213650877 411.2495968934594 548.9523519447508     
41.37999999999961 91.15273078782106 102.31548090909045 136.57478161602725 182.3054615756421 243.34859574403094 324.8314040554449 409.261923636362 546.2991264641092     
41.579999999999615 90.71428571428655 101.82334295377976 135.91785625952878 181.4285714285731 242.17808782799418 323.26896343949755 407.29337181511914 543.6714250381153     
41.77999999999962 90.28003829583616 101.33591670699286 135.26722027934912 180.56007659167233 241.0187863065581 321.7214815656847 405.3436668279716 541.0688811173967     
41.97999999999962 89.84992853739958 100.85313482654028 134.62278378444987 179.69985707479916 239.8705310121009 320.1887446358815 403.4125393061613 538.4911351377997     
42.17999999999962 89.42389758179311 100.37493124746707 133.98445858869619 178.84779516358623 238.73316481479364 318.67054290692994 401.4997249898684 535.937834354785     
42.379999999999626 89.00188768287006 99.90124115191506 133.35215817062775 178.00377536574013 237.6065335509201 317.16667059495757 399.6049646076604 533.4086326825112     
42.57999999999963 88.58384217942773 99.43200093983467 132.72579763436363 177.16768435885547 236.4904859532173 315.67692578239314 397.7280037593388 530.9031905374547     
42.77999999999963 88.16970546984648 98.96714820051798 132.10529367160362 176.33941093969295 235.3848735831695 314.20111032758996 395.8685928020721 528.4211746864147     
42.979999999999634 87.75942298743676 98.50662168492693 131.4905645246906 175.51884597487353 234.2895507651929 312.739029776973 394.0264867397078 525.9622580987626     
43.17999999999964 87.35294117647132 98.05036127879015 130.88152995069942 174.70588235294264 233.20437452264912 311.29049327962707 392.2014451151607 523.5261198027979     
43.37999999999964 86.9502074688804 97.5983079764444 130.27811118651917 173.9004149377608 232.12920451562906 309.8553135042484 390.3932319057778 521.1124447460768     
43.57999999999964 86.5511702615886 97.15040385539601 129.68023091489675 173.1023405231772 231.06390298044948 308.4333065583822 388.6016154215842 518.7209236595872     
43.779999999999646 86.15577889447306 96.70659205157966 129.08781323141162 172.31155778894612 230.0083346708083 307.0242919098742 386.82636820631876 516.3512529256466     
43.97999999999965 85.76398362892293 96.26681673529234 128.50078361235106 171.52796725784586 228.9623668005454 305.62809231046595 385.0672669411695 514.0031344494045     
44.17999999999965 85.37573562698121 95.83102308778082 127.91906888345855 170.75147125396242 227.925868987958 304.2445337214642 383.3240923511234 511.6762755338344     
44.379999999999654 84.99098693105068 95.39915727846228 127.34259718952678 169.98197386210137 226.898713201622 302.87344524142156 381.5966291138493 509.3703887581073     
44.57999999999966 84.60969044414601 94.97116644275809 126.77129796480928 169.21938088829202 225.8807737076712 301.5146590357624 379.8846657710325 507.0851918592373     
44.77999999999966 84.23179991067505 94.54699866052157 126.20510190422505 168.4635998213501 224.87192701849 300.1680102682958 378.1879946420864 504.82040761690035     
44.97999999999966 83.85726989773295 94.12660293504123 125.64394093533119 167.7145397954659 223.87205184277414 298.83333703455503 376.50641174016505 502.5757637413249     
45.179999999999666 83.48605577689305 93.70992917260192 125.0877481910402 166.9721115537861 222.88102903691856 297.5104802969076 374.8397166904078 500.350992764161     
45.37999999999967 83.11811370647924 93.29692816258603 124.53645798305851 166.23622741295847 221.89874155769013 296.19928382138124 373.1877126503442 498.1458319322343     
45.57999999999967 82.75340061430512 92.88755155809903 123.99000577602446 165.50680122861024 220.92507441614694 294.8995941161536 371.55020623239625 495.96002310409807     
45.779999999999674 82.39187418086559 92.48175185710252 123.44832816232403 164.78374836173117 219.95991463276488 293.6112603716531 369.9270074284102 493.79331264929635     
45.97999999999968 82.03349282296709 92.07948238403986 122.91136283756403 164.06698564593418 219.0031511937359 292.33413440222444 368.31792953615957 491.64545135025634     
46.17999999999968 81.67821567778316 91.68069727193921 122.37904857668241 163.35643135556631 218.05467500840135 291.0680705893087 366.72278908775695 489.5161943067298     
46.37999999999968 81.32600258732268 91.28535144497957 121.85132521067686 162.65200517464535 217.11437886778728 289.8129258260948 365.1414057799184 487.4053008427077     
46.579999999999686 80.9768140832981 90.89340060150604 121.32813360393286 161.9536281665962 216.18215740420723 288.5685594635954 363.5736024060243 485.3125344157316     
46.77999999999969 80.63061137238189 90.50480119748079 120.80941563213322 161.26122274476378 215.25790705190192 287.3348332581076 362.01920478992326 483.23766252853306     
46.97999999999969 80.28735632183961 90.11951043035656 120.29511416073204 160.57471264367922 214.34152600868393 286.1116113200143 360.47804172142634 481.18045664292833     
47.179999999999694 79.94701144552829 89.73748622336055 119.78517302397607 159.89402289105658 213.43291419855808 284.89876006388874 358.9499448934423 479.14069209590446     
47.3799999999997 79.60953989024955 89.35868721017624 119.27953700445737 159.2190797804991 212.5319732352885 283.69614815986216 357.4347488407051 477.11814801782964     
47.5799999999997 79.2749054224469 88.98307272001156 118.7781518131818 158.5498108448938 211.6386063868846 282.5036464862183 355.93229088004637 475.1126072527274     
47.7799999999997 78.94307241523698 88.61060276304205 118.28096407013791 157.88614483047397 210.7527185409788 281.32112808317845 354.4424110521683 473.1238562805518     
47.979999999999706 78.61400583576538 88.2412380162182 117.787921285352 157.22801167153077 209.8742161710706 280.1484681078422 352.96495206487293 471.15168514140817     
48.17999999999971 78.28767123287719 87.87493980942608 117.29897184041486 156.57534246575437 209.00300730361073 278.9855437902504 351.49975923770444 469.19588736165963     
48.37999999999971 77.96403472509348 87.51167011199149 116.81406497046689 155.92806945018697 208.13900148590255 277.83223439053876 350.0466804479661 467.2562598818677     
48.579999999999714 77.64306298888476 87.15139151951725 116.33315074662798 155.28612597776953 207.28210975479547 276.68842115714824 348.6055660780691 465.3326029865121     
48.77999999999972 77.32472324723292 86.79406724104444 115.85618005885992 154.64944649446585 206.4322446061493 275.55398728606525 347.1762689641779 463.42472023543985     
48.97999999999972 77.0089832584733 86.43966108652813 115.38310459924841 154.0179665169466 205.5893199650462 274.4288178810588 345.75864434611265 461.5324183969938     
49.17999999999972 76.69581130540914 86.08813745461869 114.9138768456931 153.39162261081827 204.7532511567296 273.31279991488935 344.35254981847487 459.65550738277256     
49.379999999999725 76.3851761846906 85.73946132074012 114.44845004599405 152.7703523693812 203.92395487824953 272.2058221914593 342.9578452829606 457.7938001839764     
49.57999999999973 76.0770471964506 85.39359822545677 113.98677820232322 152.1540943929012 203.10134917079387 271.10777530887975 341.5743929018272 455.94711280929306     
49.77999999999973 75.77139413419086 85.05051426312066 113.52881605607041 151.5427882683817 202.28535339268703 270.0185516234282 340.20205705248276 454.1152642242818     
49.979999999999734 75.46818727491036 84.71017607079123 113.07451907305291 150.93637454982073 201.47588819303638 268.93804521437085 338.84070428316505 452.2980762922118     
50.17999999999974 75.16739736947031 84.3725508174202 112.623843429079 150.33479473894062 200.67287548600953 267.8661518496264 337.49020326968093 450.4953737163162     
50.37999999999974 74.86899563318816 84.03760619329388 112.17674599585519 149.73799126637633 199.87623842572367 266.802768952248 336.15042477317564 448.7069839834209     
50.57999999999974 74.57295373665518 83.70531039972606 111.7331843272278 149.14590747331036 199.08590138173102 265.7477955676997 334.82124159890435 446.9327373089114     
50.779999999999745 74.27924379677076 83.37563213899458 111.29311664574995 148.5584875935415 198.3017899150838 264.7011323319073 333.5025285559784 445.17246658299996     
50.97999999999975 73.98783836798782 83.0485406045144 110.8565018295642 147.97567673597564 197.52383075496186 263.6626814400598 332.1941624180577 443.42600731825695     
51.17999999999975 73.69871043376355 82.72400547124158 110.42329939959325 147.3974208675271 196.75195177584905 262.632346616144 330.89602188496644 441.69319759837316     
51.379999999999754 73.41183339820977 82.40199688630095 109.9934695070296 146.82366679641953 195.98608197524237 261.6100330831889 329.6079875452039 439.9738780281186     
51.57999999999976 73.12718107793752 82.08248545983217 109.56697292111635 146.25436215587504 195.22615145187964 260.5956475342041 328.32994183932874 438.2678916844655     
51.77999999999976 72.84472769409072 81.76544225604756 109.14377101721091 145.68945538818144 194.47209138447184 259.58909810379 327.06176902419037 436.5750840688438     
51.97999999999976 72.56444786456363 81.45083878449678 108.72382576512467 145.12889572912727 193.72383401092637 258.5902943404049 325.80335513798724 434.89530306049886     
52.179999999999765 72.28631659639741 81.13864699153204 108.30709971773054 144.57263319279483 192.98131260804809 257.59914717926875 324.5545879661283 433.2283988709223     
52.37999999999977 72.01030927835083 80.8288392519691 107.89355599983159 144.02061855670166 192.2444614717058 256.61556891588856 323.3153570078765 431.57422399932653     
52.57999999999977 71.73640167364049 80.52138836093842 107.48315829728374 143.47280334728097 191.51321589745052 255.6394731801872 322.0855534437538 429.9326331891351     
52.779999999999774 71.46456991284609 80.2162675259216 107.07587084636565 142.92913982569218 190.7875121615754 254.67077491122097 320.8650701036865 428.30348338546275     
52.97999999999978 71.19479048697652 79.9134503589683 106.67165842338953 142.38958097395303 190.06728750260376 253.7093903324696 319.65380143587333 426.6866336935583     
53.17999999999978 70.92704024069228 79.61291086908876 106.2704863345464 141.85408048138456 189.3524801031957 252.75523692768408 318.4516434763552 425.08194533818573     
53.37999999999978 70.66129636568031 79.31462345481717 105.87232040597934 141.32259273136063 188.6430290724606 251.80823341727685 317.2584938192688 423.4892816239175     
53.579999999999785 70.39753639417722 79.01856289694177 105.47712697407945 140.79507278835445 187.9388744286664 250.8682997352415 316.0742515877672 421.908507896318     
53.77999999999979 70.13573819263694 78.72470435139716 105.08487287599807 140.27147638527387 187.2399570823344 249.93535700658674 314.8988174055888 420.3394915039924     
53.97999999999979 69.87587995553936 78.43302334231456 104.69552544037006 139.75175991107872 186.54621881970996 249.00932752527297 313.7320933692583 418.7821017614804     
54.179999999999794 69.61794019933582 78.1434957552259 104.30905247824245 139.23588039867164 185.8576022865992 248.0901347326363 312.5739830209037 417.23620991296997     
54.3799999999998 69.36189775652839 77.85609783041815 103.9254222742033 138.72379551305679 185.1740509725624 247.1777031962897 311.4243913216727 415.70168909681337     
54.5799999999998 69.10773176987934 77.57080615643348 103.54460357770567 138.21546353975867 184.49550919545516 246.2719585894876 310.283224625734 414.17841431082286     
54.7799999999998 68.85542168674723 77.2875976637119 103.1665655945815 137.71084337349447 183.82192208630778 245.3728276709425 309.15039065484774 412.66626237832617     
54.979999999999805 68.60494725354698 77.00644961837283 102.7912779787409 137.20989450709396 183.15323557453513 244.48023826508242 308.0257984734914 411.16511191496375     
55.17999999999981 68.35628851033007 76.72733961613153 102.41871082405173 136.71257702066015 182.48939637346757 243.59411924273707 306.90935846452624 409.67484329620703     
55.37999999999981 68.10942578548236 76.45024557634774 102.04883465639534 136.21885157096472 181.8303519661961 242.71440050224325 305.8009823053911 408.19533862558154     
55.579999999999814 67.86433969053638 76.17514573620254 101.68162042589371 135.72867938107277 181.17605059172254 241.8410129509577 304.70058294481026 406.726481703575     
55.779999999999816 67.62101111509524 75.90201864500067 101.31703949930392 135.24202223019049 180.526441231408 240.97388848716795 303.6080745800028 405.26815799721584     
55.97999999999982 67.37942122186517 75.6308431585948 100.95506365257543 134.75884244373034 179.88147359571164 240.11295998239063 302.5233726343793 403.8202546103019     
56.17999999999982 67.13955144179445 75.3615984339291 100.59566506356661 134.2791028835889 179.24109811121284 239.2581612640482 301.4463937357165 402.3826602542666     
56.379999999999825 66.90138346931556 75.09426392369876 100.23881630491613 133.80276693863112 178.60526590790946 238.4094270985141 300.37705569479516 400.9552652196647     
56.57999999999983 66.66489925768843 74.82881937112295 99.8844903370656 133.32979851537686 177.97392880678572 237.56669317451792 299.31527748449184 399.5379613482625     
56.77999999999983 66.43008101444191 74.56524480482804 99.53266050142958 132.86016202888382 177.3470393076424 236.72989608690074 298.2609792193122 398.13064200571847     
56.97999999999983 66.1969111969114 74.30352053383882 99.18330051370957 132.3938223938228 176.72455057718383 235.89897332071294 297.2140821353554 396.73320205483844     
57.179999999999836 65.96537250787007 74.04362714267462 98.8363844573482 131.93074501574014 176.10641643735454 235.0738632356457 296.1745085706986 395.3455378293929     
57.37999999999984 65.7354478912515 73.78554548654819 98.49188677712043 131.470895782503 175.49259135392006 234.2545050507881 295.14218194619286 393.9675471084818     
57.57999999999984 65.50712052796128 73.52925668666438 98.1497822728581 131.01424105592255 174.8830304252854 233.44083882970165 294.1170267466576 392.5991290914326     
57.779999999999845 65.28037383177588 73.27474212561673 97.81004609330512 130.56074766355175 174.27768937154607 232.63280546580515 293.098968502467 391.24018437322064     
57.97999999999985 65.05519144532614 73.02198344287916 97.4726537300995 130.1103828906523 173.67652452376564 231.8303466680617 292.08793377151676 389.89061492039815     
58.17999999999985 64.83155723616379 72.77096253039075 97.13758101187983 129.66311447232758 173.07949281347422 231.03340494696147 291.0838501215631 388.5503240475195     
58.37999999999985 64.60945529290869 72.52166152823114 96.80480409851265 129.21891058581738 172.4865517623832 230.24192360079167 290.08664611292465 387.21921639405076     
58.579999999999856 64.38886992147506 72.27406282038467 96.47429947543817 128.77773984295013 171.89765947231018 229.45584670218875 289.09625128153874 385.89719790175286     
58.77999999999986 64.16978564137477 72.0281490305909 96.14604394813146 128.33957128274955 171.3127746153101 228.67511908496454 288.1125961223637 384.58417579252597     
58.97999999999986 63.95218718209577 71.78390301827963 95.82001463667629 127.90437436419154 170.73185642400693 227.89968633120066 287.13561207311864 383.2800585467053     
59.179999999999865 63.73605947955405 71.54130787458826 95.49618897044893 127.4721189591081 170.15486468212112 227.1294947586045 286.16523149835314 381.9847558817958     
59.37999999999987 63.52138767261719 71.30034691845962 95.17454468290951 127.04277534523438 169.5817597151891 226.3644914081208 285.2013876738386 380.6981787316382     
59.57999999999987 63.30815709969803 71.06100369281862 94.85505980649828 126.61631419939606 169.0125023814691 225.60462403179278 284.2440147712745 379.4202392259932     
59.77999999999987 63.096353295416655 70.82326196082522 94.5377126676341 126.19270659083331 168.44705406302987 224.8498410808667 283.293047843301 378.1508506705365     
59.979999999999876 62.88596198732924 70.58710570220293 94.22248188181337 125.77192397465848 167.88537665701776 224.1000916941349 282.34842280881185 376.88992752725363     
60.17999999999988 62.67696909272196 70.35251910963994 93.90934634880635 125.35393818544392 167.32743256709747 223.35532568651067 281.4100764385599 375.6373853952255     
60.37999999999988 62.469360715468824 70.11948658526221 93.5982852479491 124.93872143093765 166.77318469506335 222.6154935378306 280.4779463410489 374.3931409917965     
60.579999999999885 62.263123142951585 69.88799273717615 93.28927803352863 124.52624628590317 166.22259643261677 221.88054638187864 279.5519709487047 373.1571121341147     
60.77999999999989 62.05824284304059 69.65802237607981 92.98230443025938 124.11648568608118 165.67563165330574 221.150435995627 278.63208950431937 371.9292177210376     
60.97999999999989 61.85470646113491 69.4295605119405 92.67734442884823 123.70941292226982 165.13225470462322 220.42511478868823 277.71824204776203 370.70937771539303     
61.17999999999989 61.65250081726065 69.20259235073767 92.37437828164701 123.3050016345213 164.59243040026027 219.70453579297495 276.8103694029508 369.4975131265882     
61.379999999999896 61.45161290322591 68.97710329126963 92.07338649838977 122.90322580645181 164.05612401251094 218.9886526525612 275.9084131650786 368.2935459935592     
61.5799999999999 61.25202987983121 68.75307892202225 91.77434984201305 122.50405975966243 163.52330126482497 218.27741961374156 275.0123156880891 367.0973993680523     
61.7799999999999 61.05373907413412 68.53050501809858 91.47724932455752 122.10747814826824 162.99392832450505 217.57079151528336 274.1220200723944 365.9089972982302     
61.979999999999905 60.8567279767668 68.30936753820797 91.1820662031488 121.7134559535336 162.46797179554568 216.86872377886746 273.237470152832 364.7282648125954     
62.17999999999991 60.66098423930533 68.08965262171324 90.88878197605601 121.32196847861066 161.94539871161015 216.17117239971378 272.358610486853 363.55512790422415     
62.37999999999991 60.46649567168973 67.87134658573467 90.59737837882594 120.93299134337946 161.42617652914265 215.47809393738703 271.4853863429388 362.3895135153039     
62.57999999999991 60.273250239693276 67.65443592230952 90.30783738049156 120.54650047938655 160.91027312061232 214.78944550677858 270.6177436892381 361.2313495219664     
62.779999999999916 60.081236062440354 67.43890729560576 90.02014117985286 120.16247212488071 160.3976567678866 214.10518476926094 269.7556291824231 360.08056471941154     
62.97999999999992 59.890441409971494 67.22474753918908 89.73427220182853 119.78088281994299 159.88829615573067 213.4252699240108 268.89899015675644 358.9370888073143     
63.17999999999992 59.70085470085478 67.01194365334169 89.4502130938772 119.40170940170955 159.3821603654308 212.74965969949668 268.04777461336687 357.8008523755089     
63.379999999999924 59.512464499842295 66.80048280243182 89.16794672248598 119.02492899968459 158.87921886853766 212.0783133451278 267.2019312097273 356.67178688994403     
63.57999999999993 59.325259515571005 66.59035231233294 88.88745616972571 118.65051903114201 158.37944152072848 211.41119062306072 266.36140924933187 355.549824678903     
63.77999999999993 59.13922859830674 66.38153966789162 88.6087247298708 118.27845719661347 157.88279855578418 210.7482518001599 265.5261586715666 354.4348989194834     
63.97999999999993 58.9543607377306 66.17403251044276 88.33173590608253 117.9087214754612 157.3892605796798 210.08945764010937 264.6961300417711 353.3269436243302     
64.17999999999994 58.770645060766654 65.96781863537126 88.05647340715426 117.54129012153331 156.8987985647852 209.4347693956715 263.87127454148515 352.22589362861714     
64.37999999999994 58.588070829450196 65.76288598971928 87.78292114431748 117.17614165890039 156.41138384417388 208.78414880109037 263.05154395887723 351.1316845772701     
64.57999999999994 58.40662743883561 65.55922266983784 87.51106322810715 116.81325487767123 155.9269881060377 208.13755806463607 262.2368906793514 350.04425291242876     
64.77999999999994 58.22630441494293 65.35681691908192 87.24088396528495 116.45260882988586 155.4455833882049 207.49495986128736 261.42726767632774 348.9635358611399     
64.97999999999995 58.04709141274243 65.15565712554827 86.97236785581961 116.09418282548486 154.96714207275951 206.85631732554933 260.62262850219315 347.8894714232786     
65.17999999999995 57.868978214176174 64.95573181985466 86.70549958992265 115.73795642835235 154.49163688075964 206.2215940444031 259.8229272794187 346.8219983596908     
65.37999999999995 57.69195472621602 64.75702967296003 86.44026404513856 115.38390945243204 154.0190408670528 205.59075405038536 259.0281186918402 345.76105618055436     
65.57999999999996 57.516010978957034 64.55953949402449 86.17664628348822 115.03202195791407 153.5493274151862 204.96376181479403 258.238157976098 344.706585133953     
65.77999999999996 57.34113712374585 64.36325022830839 85.9146315486646 114.6822742474917 153.08247023240972 204.34058224101844 257.45300091323367 343.6585261946586     
65.97999999999996 57.167323431342865 64.16815095510951 85.65420526327914 114.33464686268573 152.6184433447698 203.72118065799017 256.67260382043816 342.6168210531167     
66.17999999999996 56.994560290117896 63.974230885737775 85.39535302615832 113.98912058023579 152.15722109229242 203.10552281375328 255.89692354295119 341.58141210463344     
66.37999999999997 56.82283820427842 63.781479361526436 85.13806060968902 113.64567640855684 151.69877812425293 202.4935748691502 255.12591744610583 340.5522424387562     
66.57999999999997 56.652147792129796 63.589885851879316 84.88231395721172 113.30429558425959 151.24308939453152 201.88530339162196 254.35954340751735 339.52925582884706     
66.77999999999997 56.4824797843666 63.39943995235288 84.62809918046057 112.9649595687332 150.79013015705166 201.28067534911935 253.5977598094116 338.5123967218424     
66.97999999999998 56.31382502239477 63.21013138277284 84.37540255704921 112.62765004478953 150.33987596130052 200.67965810412346 252.84052553109146 337.501610228197     
67.17999999999998 56.14617445668355 63.0219499853844 84.12421052800173 112.2923489133671 149.89230264792957 200.08221940777295 252.0877999415377 336.496842112007     
67.37999999999998 55.979519145146945 62.834885723035384 83.87450969532733 111.95903829029389 149.44738634443317 199.488327394096 251.33954289214162 335.49803878130945     
67.57999999999998 55.81385025155373 62.6489286773916 83.6262868196383 111.62770050310746 149.00510346090422 198.8979505743443 250.5957147095665 334.5051472785533     
67.77999999999999 55.64915904396579 62.46406904718389 83.37952881780991 111.29831808793158 148.56543068586467 198.31105783142797 249.85627618873565 333.51811527123976     
67.97999999999999 55.48543689320389 62.28029714648608 83.1342227606819 110.97087378640778 148.12834498216984 197.72761841444816 249.1211885859444 332.5368910427277     
68.17999999999999 55.32267527134057 62.09760340302323 82.89035587080016 110.64535054268114 147.69382358298483 197.14760193332626 248.390413612093 331.56142348320077     
68.38 55.160865750219365 61.915978356509555 82.64791552019823 110.32173150043873 147.26184398783133 196.57097835352712 247.6639134260383 330.591662080793     
68.58 55.00000000000001 61.73541265701551 82.40688922821748 110.00000000000001 146.8323839587038 195.99771799087466 246.94165062806212 329.62755691287003     
freq. vibration résumé
Note Base Octave 1 Octave 2 Octave 3 Octave 4 Octave 5 Octave 6 Octave 7 Octave 8 Octave 9
La 27.5 55.0 110.0 220.0 440.0 880.0 1760.0 3520.0 7040.0 14080.0
Sib 29.14 58.27 116.54 233.08 466.16 932.33 1864.66 3729.31 7458.62 14917.24
SI 30.87 61.74 123.47 246.94 493.88 987.77 1975.53 3951.07 7902.13 15804.27
DO 32.7 65.41 130.81 261.63 523.25 1046.5 2093.0 4186.01 8372.02 16744.04
DO# 34.65 69.3 138.59 277.18 554.37 1108.73 2217.46 4434.92 8869.84 17739.69
RE 36.71 73.42 146.83 293.66 587.33 1174.66 2349.32 4698.64 9397.27 18794.55
Mib 38.89 77.78 155.56 311.13 622.25 1244.51 2489.02 4978.03 9956.06 19912.13
MI 41.2 82.41 164.81 329.63 659.26 1318.51 2637.02 5274.04 10548.08 
FA 43.65 87.31 174.61 349.23 698.46 1396.91 2793.83 5587.65 11175.3 
FA# 46.25 92.5 185.0 369.99 739.99 1479.98 2959.96 5919.91 11839.82 
SOL 49.0 98.0 196.0 392.0 783.99 1567.98 3135.96 6271.93 12543.85 
SOL# 51.91 103.83 207.65 415.3 830.61 1661.22 3322.44 6644.88 13289.75 
position frêtes
Rang 0.0 1.0 2.0 n 12.0
Fréquence f 21/12f 21/6f 2n/12f 2f
Longueur vibrante de la corde L 2(-1/12)L 2(-1/6)L 2(-n/12)L L/2
Position de la frette 0.0 L(1-2(-1/12)) L(1-2(-1/6)) L(1-2(-n/12)) L/2
Diapason 0.6858 m   
 Case Long. Vibrante (cm) Pos. Frette (cm)  
 0.0 68.58 0.0  
 1.0 64.73090036371053 3.8490996362894654  
 2.0 61.09783409006447 7.482165909935532  
 3.0 57.66867615809975 10.911323841900252  
 4.0 54.43198207198955 14.148017928010443  
 5.0 51.37694966610141 17.20305033389859  
 6.0 48.49338305377342 20.086616946226574  
 7.0 45.77165859949048 22.80834140050952  
 8.0 43.2026928008952 25.3773071991048  
 9.0 40.7779119734433 27.802088026556696  
 10.0 38.4892236365284 30.090776363471598  
 11.0 36.32898950558023 32.251010494419766  
 12.0 34.29 34.29  
 13.0 32.36545018185527 36.214549818144725  
 14.0 30.548917045032233 38.03108295496777  
 15.0 28.834338079049875 39.74566192095013  
 16.0 27.215991035994787 41.364008964005215  
 17.0 25.688474833050705 42.89152516694929  
 18.0 24.246691526886714 44.333308473113284  
 19.0 22.885829299745243 45.69417070025475  
 20.0 21.6013464004476 46.978653599552395  
 21.0 20.38895598672165 48.19104401327835  
 22.0 19.244611818264204 49.3353881817358  
 23.0 18.164494752790116 50.41550524720988  
 24.0 17.145 51.435  
Feuil1
S 0.0001 m²
n
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