>> format longG; >> f = [20 25 31.5 40 50 63 80 100 125 160 200 250 315 400 500 630 800 1000 1250 1600 2000 2500 3150 4000 5000 6300 8000 10000 12500]; >> test = ((iso226(44) - iso226(40)))' test = 1.95844163107965 2.09921403349867 2.23518604823329 2.3696107219218 2.50049873824113 2.64030780661277 2.78524111112156 2.92705712200286 3.0648440101367 3.22006449736141 3.35243537633448 3.4819758046249 3.60996038811519 3.73186217813775 3.82819324753216 3.912545343641 3.9712649434671 4.00046372227561 4.06812616667634 4.15571946754448 4.16224562648671 4.166533492453 4.18739345458619 4.21071340564117 4.19848123560055 4.1192655187559 3.99199190615009 3.81777194657123 3.48483591134995 >> test(24) ans = 4.21071340564117 >> baseUnit = ((iso226(44) - iso226(40)) - (test(24) - 0.5))' baseUnit = -1.75227177456151 -1.6114993721425 -1.47552735740788 -1.34110268371936 -1.21021466740003 -1.0704055990284 -0.925472294519601 -0.783656283638301 -0.645869395504462 -0.490648908279752 -0.358278029306682 -0.228737601016263 -0.100753017525975 0.0211487724965878 0.117479841890997 0.201831937999835 0.260551537825933 0.289750316634446 0.357412761035171 0.445006061903314 0.451532220845543 0.455820086811833 0.47668004894502 0.5 0.487767829959388 0.40855211311473 0.281278500508925 0.107058540930062 -0.225877494291211 >> for index = 1:100 fprintf("%d baseUnits\n", index); [f' baseUnit*index] end 1 baseUnits ans = 20 -1.75227177456151 25 -1.6114993721425 31.5 -1.47552735740788 40 -1.34110268371936 50 -1.21021466740003 63 -1.0704055990284 80 -0.925472294519601 100 -0.783656283638301 125 -0.645869395504462 160 -0.490648908279752 200 -0.358278029306682 250 -0.228737601016263 315 -0.100753017525975 400 0.0211487724965878 500 0.117479841890997 630 0.201831937999835 800 0.260551537825933 1000 0.289750316634446 1250 0.357412761035171 1600 0.445006061903314 2000 0.451532220845543 2500 0.455820086811833 3150 0.47668004894502 4000 0.5 5000 0.487767829959388 6300 0.40855211311473 8000 0.281278500508925 10000 0.107058540930062 12500 -0.225877494291211 2 baseUnits ans = 20 -3.50454354912303 25 -3.22299874428499 31.5 -2.95105471481575 40 -2.68220536743873 50 -2.42042933480006 63 -2.1408111980568 80 -1.8509445890392 100 -1.5673125672766 125 -1.29173879100892 160 -0.981297816559504 200 -0.716556058613364 250 -0.457475202032526 315 -0.201506035051949 400 0.0422975449931755 500 0.234959683781994 630 0.403663875999669 800 0.521103075651865 1000 0.579500633268893 1250 0.714825522070342 1600 0.890012123806628 2000 0.903064441691086 2500 0.911640173623667 3150 0.953360097890041 4000 1 5000 0.975535659918776 6300 0.817104226229461 8000 0.562557001017851 10000 0.214117081860124 12500 -0.451754988582422 3 baseUnits ans = 20 -5.25681532368454 25 -4.83449811642749 31.5 -4.42658207222363 40 -4.02330805115809 50 -3.63064400220009 63 -3.21121679708519 80 -2.7764168835588 100 -2.3509688509149 125 -1.93760818651339 160 -1.47194672483926 200 -1.07483408792005 250 -0.68621280304879 315 -0.302259052577924 400 0.0634463174897633 500 0.352439525672992 630 0.605495813999504 800 0.781654613477798 1000 0.869250949903339 1250 1.07223828310551 1600 1.33501818570994 2000 1.35459666253663 2500 1.3674602604355 3150 1.43004014683506 4000 1.5 5000 1.46330348987816 6300 1.22565633934419 8000 0.843835501526776 10000 0.321175622790186 12500 -0.677632482873634 4 baseUnits ans = 20 -7.00908709824606 25 -6.44599748856999 31.5 -5.90210942963151 40 -5.36441073487745 50 -4.84085866960012 63 -4.28162239611359 80 -3.7018891780784 100 -3.1346251345532 125 -2.58347758201785 160 -1.96259563311901 200 -1.43311211722673 250 -0.914950404065053 315 -0.403012070103898 400 0.084595089986351 500 0.469919367563989 630 0.807327751999338 800 1.04220615130373 1000 1.15900126653779 1250 1.42965104414068 1600 1.78002424761326 2000 1.80612888338217 2500 1.82328034724733 3150 1.90672019578008 4000 2 5000 1.95107131983755 6300 1.63420845245892 8000 1.1251140020357 10000 0.428234163720248 12500 -0.903509977164845 5 baseUnits ans = 20 -8.76135887280757 25 -8.05749686071248 31.5 -7.37763678703939 40 -6.70551341859682 50 -6.05107333700015 63 -5.35202799514199 80 -4.627361472598 100 -3.9182814181915 125 -3.22934697752231 160 -2.45324454139876 200 -1.79139014653341 250 -1.14368800508132 315 -0.503765087629873 400 0.105743862482939 500 0.587399209454986 630 1.00915968999917 800 1.30275768912966 1000 1.44875158317223 1250 1.78706380517585 1600 2.22503030951657 2000 2.25766110422772 2500 2.27910043405917 3150 2.3834002447251 4000 2.5 5000 2.43883914979694 6300 2.04276056557365 8000 1.40639250254463 10000 0.53529270465031 12500 -1.12938747145606 6 baseUnits ans = 20 -10.5136306473691 25 -9.66899623285498 31.5 -8.85316414444726 40 -8.04661610231618 50 -7.26128800440019 63 -6.42243359417039 80 -5.5528337671176 100 -4.70193770182981 125 -3.87521637302677 160 -2.94389344967851 200 -2.14966817584009 250 -1.37242560609758 315 -0.604518105155847 400 0.126892634979527 500 0.704879051345983 630 1.21099162799901 800 1.5633092269556 1000 1.73850189980668 1250 2.14447656621103 1600 2.67003637141988 2000 2.70919332507326 2500 2.734920520871 3150 2.86008029367012 4000 3 5000 2.92660697975633 6300 2.45131267868838 8000 1.68767100305355 10000 0.642351245580372 12500 -1.35526496574727 7 baseUnits ans = 20 -12.2659024219306 25 -11.2804956049975 31.5 -10.3286915018551 40 -9.38771878603554 50 -8.47150267180022 63 -7.49283919319878 80 -6.47830606163721 100 -5.48559398546811 125 -4.52108576853124 160 -3.43454235795826 200 -2.50794620514677 250 -1.60116320711384 315 -0.705271122681822 400 0.148041407476114 500 0.822358893236981 630 1.41282356599884 800 1.82386076478153 1000 2.02825221644112 1250 2.5018893272462 1600 3.1150424333232 2000 3.1607255459188 2500 3.19074060768283 3150 3.33676034261514 4000 3.5 5000 3.41437480971572 6300 2.85986479180311 8000 1.96894950356248 10000 0.749409786510434 12500 -1.58114246003848 8 baseUnits ans = 20 -14.0181741964921 25 -12.89199497714 31.5 -11.804218859263 40 -10.7288214697549 50 -9.68171733920025 63 -8.56324479222718 80 -7.40377835615681 100 -6.26925026910641 125 -5.1669551640357 160 -3.92519126623802 200 -2.86622423445345 250 -1.82990080813011 315 -0.806024140207796 400 0.169190179972702 500 0.939838735127978 630 1.61465550399868 800 2.08441230260746 1000 2.31800253307557 1250 2.85930208828137 1600 3.56004849522651 2000 3.61225776676434 2500 3.64656069449467 3150 3.81344039156016 4000 4 5000 3.90214263967511 6300 3.26841690491784 8000 2.2502280040714 10000 0.856468327440496 12500 -1.80701995432969 9 baseUnits ans = 20 -15.7704459710536 25 -14.5034943492825 31.5 -13.2797462166709 40 -12.0699241534743 50 -10.8919320066003 63 -9.63365039125558 80 -8.32925065067641 100 -7.05290655274471 125 -5.81282455954016 160 -4.41584017451777 200 -3.22450226376014 250 -2.05863840914637 315 -0.906777157733771 400 0.19033895246929 500 1.05731857701898 630 1.81648744199851 800 2.34496384043339 1000 2.60775284971002 1250 3.21671484931654 1600 4.00505455712982 2000 4.06378998760989 2500 4.1023807813065 3150 4.29012044050518 4000 4.5 5000 4.38991046963449 6300 3.67696901803257 8000 2.53150650458033 10000 0.963526868370558 12500 -2.0328974486209 10 baseUnits ans = 20 -17.5227177456151 25 -16.114993721425 31.5 -14.7552735740788 40 -13.4110268371936 50 -12.1021466740003 63 -10.704055990284 80 -9.25472294519601 100 -7.83656283638301 125 -6.45869395504462 160 -4.90648908279752 200 -3.58278029306682 250 -2.28737601016263 315 -1.00753017525975 400 0.211487724965878 500 1.17479841890997 630 2.01831937999835 800 2.60551537825933 1000 2.89750316634446 1250 3.57412761035171 1600 4.45006061903314 2000 4.51532220845543 2500 4.55820086811833 3150 4.7668004894502 4000 5 5000 4.87767829959388 6300 4.0855211311473 8000 2.81278500508925 10000 1.07058540930062 12500 -2.25877494291211 11 baseUnits ans = 20 -19.2749895201767 25 -17.7264930935675 31.5 -16.2308009314866 40 -14.752129520913 50 -13.3123613414003 63 -11.7744615893124 80 -10.1801952397156 100 -8.62021912002131 125 -7.10456335054909 160 -5.39713799107727 200 -3.9410583223735 250 -2.51611361117889 315 -1.10828319278572 400 0.232636497462465 500 1.29227826080097 630 2.22015131799818 800 2.86606691608526 1000 3.18725348297891 1250 3.93154037138688 1600 4.89506668093645 2000 4.96685442930097 2500 5.01402095493017 3150 5.24348053839523 4000 5.5 5000 5.36544612955327 6300 4.49407324426203 8000 3.09406350559818 10000 1.17764395023068 12500 -2.48465243720332 12 baseUnits ans = 20 -21.0272612947382 25 -19.33799246571 31.5 -17.7063282888945 40 -16.0932322046324 50 -14.5225760088004 63 -12.8448671883408 80 -11.1056675342352 100 -9.40387540365961 125 -7.75043274605355 160 -5.88778689935702 200 -4.29933635168018 250 -2.74485121219516 315 -1.20903621031169 400 0.253785269959053 500 1.40975810269197 630 2.42198325599801 800 3.12661845391119 1000 3.47700379961336 1250 4.28895313242205 1600 5.34007274283977 2000 5.41838665014652 2500 5.469841041742 3150 5.72016058734025 4000 6 5000 5.85321395951266 6300 4.90262535737676 8000 3.3753420061071 10000 1.28470249116074 12500 -2.71052993149453 13 baseUnits ans = 20 -22.7795330692997 25 -20.9494918378525 31.5 -19.1818556463024 40 -17.4343348883517 50 -15.7327906762004 63 -13.9152727873692 80 -12.0311398287548 100 -10.1875316872979 125 -8.39630214155801 160 -6.37843580763678 200 -4.65761438098686 250 -2.97358881321142 315 -1.30978922783767 400 0.274934042455641 500 1.52723794458296 630 2.62381519399785 800 3.38716999173712 1000 3.7667541162478 1250 4.64636589345722 1600 5.78507880474308 2000 5.86991887099206 2500 5.92566112855383 3150 6.19684063628527 4000 6.5 5000 6.34098178947205 6300 5.31117747049149 8000 3.65662050661603 10000 1.39176103209081 12500 -2.93640742578575 14 baseUnits ans = 20 -24.5318048438612 25 -22.560991209995 31.5 -20.6573830037103 40 -18.7754375720711 50 -16.9430053436004 63 -14.9856783863976 80 -12.9566121232744 100 -10.9711879709362 125 -9.04217153706247 160 -6.86908471591653 200 -5.01589241029355 250 -3.20232641422768 315 -1.41054224536364 400 0.296082814952229 500 1.64471778647396 630 2.82564713199768 800 3.64772152956306 1000 4.05650443288225 1250 5.00377865449239 1600 6.23008486664639 2000 6.3214510918376 2500 6.38148121536567 3150 6.67352068523029 4000 7 5000 6.82874961943143 6300 5.71972958360622 8000 3.93789900712495 10000 1.49881957302087 12500 -3.16228492007696 15 baseUnits ans = 20 -26.2840766184227 25 -24.1724905821374 31.5 -22.1329103611182 40 -20.1165402557904 50 -18.1532200110005 63 -16.056083985426 80 -13.882084417794 100 -11.7548442545745 125 -9.68804093256693 160 -7.35973362419628 200 -5.37417043960023 250 -3.43106401524395 315 -1.51129526288962 400 0.317231587448816 500 1.76219762836496 630 3.02747906999752 800 3.90827306738899 1000 4.3462547495167 1250 5.36119141552756 1600 6.67509092854971 2000 6.77298331268315 2500 6.8373013021775 3150 7.15020073417531 4000 7.5 5000 7.31651744939082 6300 6.12828169672095 8000 4.21917750763388 10000 1.60587811395093 12500 -3.38816241436817 16 baseUnits ans = 20 -28.0363483929842 25 -25.7839899542799 31.5 -23.608437718526 40 -21.4576429395098 50 -19.3634346784005 63 -17.1264895844544 80 -14.8075567123136 100 -12.5385005382128 125 -10.3339103280714 160 -7.85038253247603 200 -5.73244846890691 250 -3.65980161626021 315 -1.61204828041559 400 0.338380359945404 500 1.87967747025596 630 3.22931100799735 800 4.16882460521492 1000 4.63600506615114 1250 5.71860417656274 1600 7.12009699045302 2000 7.22451553352869 2500 7.29312138898933 3150 7.62688078312033 4000 8 5000 7.80428527935021 6300 6.53683380983568 8000 4.50045600814281 10000 1.71293665488099 12500 -3.61403990865938 17 baseUnits ans = 20 -29.7886201675457 25 -27.3954893264224 31.5 -25.0839650759339 40 -22.7987456232292 50 -20.5736493458005 63 -18.1968951834828 80 -15.7330290068332 100 -13.3221568218511 125 -10.9797797235759 160 -8.34103144075578 200 -6.09072649821359 250 -3.88853921727647 315 -1.71280129794157 400 0.359529132441992 500 1.99715731214695 630 3.43114294599719 800 4.42937614304086 1000 4.92575538278559 1250 6.07601693759791 1600 7.56510305235633 2000 7.67604775437423 2500 7.74894147580117 3150 8.10356083206535 4000 8.5 5000 8.2920531093096 6300 6.94538592295041 8000 4.78173450865173 10000 1.81999519581105 12500 -3.83991740295059 18 baseUnits ans = 20 -31.5408919421073 25 -29.0069886985649 31.5 -26.5594924333418 40 -24.1398483069485 50 -21.7838640132006 63 -19.2673007825112 80 -16.6585013013528 100 -14.1058131054894 125 -11.6256491190803 160 -8.83168034903554 200 -6.44900452752027 250 -4.11727681829274 315 -1.81355431546754 400 0.38067790493858 500 2.11463715403795 630 3.63297488399702 800 4.68992768086679 1000 5.21550569942004 1250 6.43342969863308 1600 8.01010911425965 2000 8.12757997521977 2500 8.204761562613 3150 8.58024088101037 4000 9 5000 8.77982093926899 6300 7.35393803606514 8000 5.06301300916066 10000 1.92705373674112 12500 -4.0657948972418 19 baseUnits ans = 20 -33.2931637166688 25 -30.6184880707074 31.5 -28.0350197907497 40 -25.4809509906679 50 -22.9940786806006 63 -20.3377063815396 80 -17.5839735958724 100 -14.8894693891277 125 -12.2715185145848 160 -9.32232925731529 200 -6.80728255682696 250 -4.346014419309 315 -1.91430733299352 400 0.401826677435167 500 2.23211699592895 630 3.83480682199686 800 4.95047921869272 1000 5.50525601605448 1250 6.79084245966825 1600 8.45511517616296 2000 8.57911219606532 2500 8.66058164942483 3150 9.05692092995539 4000 9.5 5000 9.26758876922838 6300 7.76249014917988 8000 5.34429150966958 10000 2.03411227767118 12500 -4.29167239153301 20 baseUnits ans = 20 -35.0454354912303 25 -32.2299874428499 31.5 -29.5105471481575 40 -26.8220536743873 50 -24.2042933480006 63 -21.408111980568 80 -18.509445890392 100 -15.673125672766 125 -12.9173879100892 160 -9.81297816559504 200 -7.16556058613364 250 -4.57475202032526 315 -2.01506035051949 400 0.422975449931755 500 2.34959683781994 630 4.03663875999669 800 5.21103075651865 1000 5.79500633268893 1250 7.14825522070342 1600 8.90012123806628 2000 9.03064441691086 2500 9.11640173623667 3150 9.53360097890041 4000 10 5000 9.75535659918776 6300 8.17104226229461 8000 5.62557001017851 10000 2.14117081860124 12500 -4.51754988582422 21 baseUnits ans = 20 -36.7977072657918 25 -33.8414868149924 31.5 -30.9860745055654 40 -28.1631563581066 50 -25.4145080154006 63 -22.4785175795963 80 -19.4349181849116 100 -16.4567819564043 125 -13.5632573055937 160 -10.3036270738748 200 -7.52383861544032 250 -4.80348962134153 315 -2.11581336804547 400 0.444124222428343 500 2.46707667971094 630 4.23847069799653 800 5.47158229434459 1000 6.08475664932337 1250 7.50566798173859 1600 9.34512729996959 2000 9.4821766377564 2500 9.5722218230485 3150 10.0102810278454 4000 10.5 5000 10.2431244291472 6300 8.57959437540934 8000 5.90684851068743 10000 2.2482293595313 12500 -4.74342738011543 22 baseUnits ans = 20 -38.5499790403533 25 -35.4529861871349 31.5 -32.4616018629733 40 -29.504259041826 50 -26.6247226828007 63 -23.5489231786247 80 -20.3603904794312 100 -17.2404382400426 125 -14.2091267010982 160 -10.7942759821545 200 -7.882116644747 250 -5.03222722235779 315 -2.21656638557144 400 0.465272994924931 500 2.58455652160194 630 4.44030263599636 800 5.73213383217052 1000 6.37450696595782 1250 7.86308074277376 1600 9.7901333618729 2000 9.93370885860195 2500 10.0280419098603 3150 10.4869610767905 4000 11 5000 10.7308922591065 6300 8.98814648852407 8000 6.18812701119636 10000 2.35528790046136 12500 -4.96930487440665 23 baseUnits ans = 20 -40.3022508149148 25 -37.0644855592774 31.5 -33.9371292203812 40 -30.8453617255454 50 -27.8349373502007 63 -24.6193287776531 80 -21.2858627739508 100 -18.0240945236809 125 -14.8549960966026 160 -11.2849248904343 200 -8.24039467405368 250 -5.26096482337405 315 -2.31731940309741 400 0.486421767421518 500 2.70203636349294 630 4.6421345739962 800 5.99268536999645 1000 6.66425728259227 1250 8.22049350380893 1600 10.2351394237762 2000 10.3852410794475 2500 10.4838619966722 3150 10.9636411257355 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2000 36.574109888489 2500 36.9214270317585 3150 38.6110839645467 4000 40.5 5000 39.5091942267104 6300 33.0927211622932 8000 22.783558541223 10000 8.67174181533502 12500 -18.2960770375881 82 baseUnits ans = 20 -143.686285514044 25 -132.142948515685 31.5 -120.993243307446 40 -109.970420064988 50 -99.2376027268025 63 -87.7732591203286 80 -75.8887281506073 100 -64.2598152583407 125 -52.9612904313659 160 -40.2332104789397 200 -29.3787984031479 250 -18.7564832833336 315 -8.26174743712991 400 1.7341993447202 500 9.63334703506177 630 16.5502189159864 800 21.3652261017265 1000 23.7595259640246 1250 29.307846404884 1600 36.4904970760717 2000 37.0256421093345 2500 37.3772471185703 3150 39.0877640134917 4000 41 5000 39.9969620566698 6300 33.5012732754079 8000 23.0648370417319 10000 8.77880035626508 12500 -18.5219545318793 83 baseUnits ans = 20 -145.438557288606 25 -133.754447887827 31.5 -122.468770664854 40 -111.311522748707 50 -100.447817394203 63 -88.843664719357 80 -76.8142004451269 100 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10.4917370111461 12500 -22.1359944405387 99 baseUnits ans = 20 -173.47490568159 25 -159.538437842107 31.5 -146.07720838338 40 -132.769165688217 50 -119.811252072603 63 -105.970154303811 80 -91.6217571574405 100 -77.5819720801918 125 -63.9410701549418 160 -48.5742419196955 200 -35.4695249013615 250 -22.6450225006101 315 -9.97454873507148 400 2.09372847716219 500 11.6305043472087 630 19.9813618619836 800 25.7946022447673 1000 28.6852813468102 1250 35.3838633424819 1600 44.0556001284281 2000 44.7016898637088 2500 45.1261885943715 3150 47.191324845557 4000 49.5 5000 48.2890151659794 6300 40.4466591983583 8000 27.8465715503836 10000 10.5987955520761 12500 -22.3618719348299 100 baseUnits ans = 20 -175.227177456151 25 -161.14993721425 31.5 -147.552735740788 40 -134.110268371936 50 -121.021466740003 63 -107.04055990284 80 -92.5472294519601 100 -78.3656283638301 125 -64.5869395504462 160 -49.0648908279752 200 -35.8278029306682 250 -22.8737601016263 315 -10.0753017525975 400 2.11487724965878 500 11.7479841890997 630 20.1831937999835 800 26.0551537825933 1000 28.9750316634446 1250 35.7412761035171 1600 44.5006061903314 2000 45.1532220845543 2500 45.5820086811833 3150 47.668004894502 4000 50 5000 48.7767829959388 6300 40.855211311473 8000 28.1278500508925 10000 10.7058540930062 12500 -22.5877494291211 >> for index = 1:100 fprintf("-%d baseUnits\n", index); [f' baseUnit*-index] end -1 baseUnits ans = 20 1.75227177456151 25 1.6114993721425 31.5 1.47552735740788 40 1.34110268371936 50 1.21021466740003 63 1.0704055990284 80 0.925472294519601 100 0.783656283638301 125 0.645869395504462 160 0.490648908279752 200 0.358278029306682 250 0.228737601016263 315 0.100753017525975 400 -0.0211487724965878 500 -0.117479841890997 630 -0.201831937999835 800 -0.260551537825933 1000 -0.289750316634446 1250 -0.357412761035171 1600 -0.445006061903314 2000 -0.451532220845543 2500 -0.455820086811833 3150 -0.47668004894502 4000 -0.5 5000 -0.487767829959388 6300 -0.40855211311473 8000 -0.281278500508925 10000 -0.107058540930062 12500 0.225877494291211 -2 baseUnits ans = 20 3.50454354912303 25 3.22299874428499 31.5 2.95105471481575 40 2.68220536743873 50 2.42042933480006 63 2.1408111980568 80 1.8509445890392 100 1.5673125672766 125 1.29173879100892 160 0.981297816559504 200 0.716556058613364 250 0.457475202032526 315 0.201506035051949 400 -0.0422975449931755 500 -0.234959683781994 630 -0.403663875999669 800 -0.521103075651865 1000 -0.579500633268893 1250 -0.714825522070342 1600 -0.890012123806628 2000 -0.903064441691086 2500 -0.911640173623667 3150 -0.953360097890041 4000 -1 5000 -0.975535659918776 6300 -0.817104226229461 8000 -0.562557001017851 10000 -0.214117081860124 12500 0.451754988582422 -3 baseUnits ans = 20 5.25681532368454 25 4.83449811642749 31.5 4.42658207222363 40 4.02330805115809 50 3.63064400220009 63 3.21121679708519 80 2.7764168835588 100 2.3509688509149 125 1.93760818651339 160 1.47194672483926 200 1.07483408792005 250 0.68621280304879 315 0.302259052577924 400 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