{"text_format":"3","workbook":"xls","n_sheets":5,"sheets":["Data","Mode frequencies","Mode spacing","WATSON","Listening Distance"],"not_rendered":{"charts":7,"external_links":1},"unopened":[{"sheet":"Mode frequencies","index":1,"reason":"not_a_worksheet"},{"sheet":"Mode spacing","index":2,"reason":"not_a_worksheet"}],"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"Data","index":0,"n_rows":248,"n_cols":14,"rows_kept":248,"flags":["formulas_cached_only"]}
[]
[null,"Example room",{"$nulls":8},"© LINKWITZ LAB   21 October 2000"]
[null,"Replace bold faced values with your own numbers"]
[]
[{"$nulls":5},"L =",{"v":25,"d":"25.0"},"ft",{"v":7.625,"d":"7.63"},"m",null,"Acceptable room if:"]
[{"$nulls":4},"Room dimensions in feet","W =",{"v":16,"d":"16.0"},"ft",4.88,"m",null,"1.1*(W/H) < (L/H) < 4.5*(W/H)-4"]
[{"$nulls":5},"H =",{"v":9,"d":"9.0"},"ft",{"v":2.745,"d":"2.75"},"m",null,{"v":1.9555555555555557,"d":"2.0"},{"v":2.7777777777777777,"d":"2.8"},{"v":4,"d":"4.0"}]
[{"$nulls":13},"(R. Walker, BBC, 1996)"]
[{"$nulls":5},"Floor area A =",{"v":400.3796,"d":"400"},"ft^2",{"v":37.21,"d":"37.2"},"m^2"]
[{"$nulls":5},"Volume V =",{"v":3606.6145995000006,"d":"3607"},"ft^3",{"v":102.14145,"d":"102"},"m^3"]
[{"$nulls":5},"Surface area S =",{"v":1539.459562,"d":"1539"},"ft^2",{"v":143.07245,"d":"143"},"m^2"]
[{"$nulls":5},"Edge length Le =",{"v":200.07999999999998,"d":"200"},"ft",61,"m"]
[]
[{"$nulls":5},"Below frequency fm =",150,"Hz"]
[{"$nulls":5},"Total number of modes N =",{"v":60.16255712211774,"d":"60"}]
[{"$nulls":5},"Avg. mode spacing df =",{"v":1.4095514308678034,"d":"1.4"},"Hz at fm"]
[]
[{"$nulls":5},"Estimated reverberation time T60 =",700,"ms"]
[{"$nulls":5},"Resonance bandwidth bw =",{"v":3.142857142857143,"d":"3.1"},"Hz"]
[{"$nulls":5},"Rise time Trise =",224,"ms"]
[{"$nulls":5},"Schroeder frequency fs =",{"v":157.29018076919144,"d":"157"},"Hz"]
[{"$nulls":5},"Monopole reverb distance Rm =",{"v":0.6815175642233751,"d":"0.68"},"m",{"v":2.23537761065267,"d":"2.2"},"ft"]
[{"$nulls":5},"Dipole reverb distance Rd =",{"v":1.1804230474854709,"d":"1.18"},"m",{"v":3.871787595752344,"d":"3.9"},"ft"]
[{"$nulls":5},"Avg wall absorption a =",{"v":0.16624001486160137,"d":"17%"}]
[]
[{"$nulls":5},"Estimated avg wall absorption a =",{"v":0.1,"d":"10%"}," ",{"$nulls":3},"Speed of sound c = ",344,"m/s"]
[{"$nulls":5},"Reverberation time T60 =",{"v":1163.6801040312093,"d":"1164"},"ms",{"$nulls":4},{"v":1128.32,"d":"1128"},"ft/s"]
[]
[]
[{"$nulls":8},"Re-sort table below by ascending frequency "]
[{"$nulls":8},"after room dimensions have been changed"]
[null,"Modes in rectangular room",{"$nulls":8},"Sorted by frequency",null,"Mode spacing"]
[null,"l","w","h","Hz",{"$nulls":3},"l","w","h","Hz","Hz"]
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[null,190,{"v":2044.0959999999995,"d":"2044"},{"v":0.8630179604156567,"d":"0.86"},{"v":1.0569768209379051,"d":"1.06"},{"v":1.2204917041913887,"d":"1.22"},{"v":1.364551208273255,"d":"1.36"}]
[null,210,{"v":2259.2639999999997,"d":"2259"},{"v":0.9073036977771005,"d":"0.91"},{"v":1.1112155506471282,"d":"1.11"},{"v":1.2831211945876353,"d":"1.28"},{"v":1.434573107234344,"d":"1.43"}]
[null,230,{"v":2474.432,"d":"2474"},{"v":0.9495261976375377,"d":"0.95"},{"v":1.1629273408085306,"d":"1.16"},{"v":1.3428328265275615,"d":"1.34"},{"v":1.5013327412669053,"d":"1.50"}]
[null,250,{"v":2689.5999999999995,"d":"2690"},{"v":0.9899494936611667,"d":"0.99"},{"v":1.2124355652982144,"d":"1.21"},{"v":1.4000000000000001,"d":"1.40"},{"v":1.565247584249853,"d":"1.57"}]
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[null,"enter",520,"ft^2"]
[null,"equals",{"v":48.33432480666271,"d":"48"},"m^2"]
{"$rows_empty":10}
[{"$nulls":5},"From A"]
[{"$nulls":5},"S = ",{"v":162.04955,"d":"162"},"m^2"]
{"$rows_empty":7}
["E"]
[{"$nulls":3},"L =",23,"ft",{"v":7.0104,"d":"7.01"},"m"]
[null,null,"Room dimensions in feet","W =",17,"ft",{"v":5.1815999999999995,"d":"5.18"},"m"]
[{"$nulls":3},"H =",12,"ft",{"v":3.6576,"d":"3.66"},"m"]
[]
[{"$nulls":3},"Floor area A =",391,"ft^2",{"v":36.32508863999999,"d":"36"},"m^2"]
[{"$nulls":3},"Volume V =",4692,"ft^3",{"v":132.86264420966396,"d":"133"},"m^3"]
[{"$nulls":3},"Surface area S =",1742,"ft^2",{"v":161.83709567999998,"d":"162"},"m^2"]
[]
[{"$nulls":3},"Avg. wall absorption a%","T60/ms"]
[{"$nulls":3},10,{"v":1338.1734833524683,"d":"1338"}]
[{"$nulls":3},15,{"v":892.1156555683121,"d":"892"}]
[{"$nulls":3},20,{"v":669.0867416762342,"d":"669"}]
[{"$nulls":3},25,{"v":535.2693933409873,"d":"535"}]
[{"$nulls":3},30,{"v":446.0578277841561,"d":"446"}]
[{"$nulls":3},35,{"v":382.33528095784806,"d":"382"}]
[{"$nulls":3},40,{"v":334.5433708381171,"d":"335"}]
[{"$nulls":3},45,{"v":297.3718851894374,"d":"297"}]
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[]
["enter",{"v":5,"d":"5.0"},"m"]
["equals",{"v":16.404199475065617,"d":"16.4"},"feet"]
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[]
[]
[]
[]
[{"$nulls":4},"F - Two pairs of stereo loudspeakers"]
[]
[{"$nulls":4},"F"]
[{"$nulls":8},"Listening distance from ORION =",{"v":2.3,"d":"2.30"},"m",{"v":90.5511811023622,"d":"91"},"inch"]
[{"$nulls":8},"Reverb Distance for ORION =",{"v":1.7,"d":"1.70"},"m",{"v":66.92913385826772,"d":"67"},"inch"]
[{"$nulls":11}," "," "]
[{"$nulls":8},"Distance from WATSON =",{"v":0.7,"d":"0.70"},"m",{"v":27.559055118110237,"d":"28"},"inch"]
[{"$nulls":8},"Reverb Distance for WATSON =",{"v":1,"d":"1.00"},"m",{"v":39.37007874015748,"d":"39"},"inch"]
[]
[{"$nulls":8},"Measured ORION to WATSON level ratio =",{"v":5,"d":"5.0"},"dB at listener position"]
[]
[{"$nulls":5},"Calculated:",null,null,"ORION direct signal ",{"v":2.625578292786378,"d":"2.6"},"dB below its reverberated level"]
[{"$nulls":8},"ORION direct+reverb",{"v":1.8929763163613726,"d":"1.9"},"dB total"]
[]
[{"$nulls":8},"WATSON direct signal  ",{"v":3.0980391997148637,"d":"3.1"},"dB above its reverberated level"]
[{"$nulls":8},"WATSON direct+reverb ",{"v":4.8299018838376035,"d":"4.8"},"dB total"]
[{"$nulls":8},"WATSON direct signal  ",{"v":4.838886367761368,"d":"4.8"},"dB below ORION reverb"]
[]
[{"$nulls":8},"WATSON direct level is ",{"v":-2.2133080749749894,"d":"-2.2"},"dB above ORION direct"]
[{"$nulls":8},"Watson reverb level is ",{"v":7.936925567476231,"d":"7.9"},"dB below ORION reverb"]
[{"$nulls":8},"WATSON addition to ORION reverb level ",{"v":0.647603637702143,"d":"0.6"},"dB"]

{"sheet":"Listening Distance","index":4,"n_rows":59,"n_cols":15,"rows_kept":59,"flags":["formulas_cached_only"]}
[]
[null,"A - Example room",{"$nulls":7},"© LINKWITZ LAB   19 October 2012"]
[null,"Replace bold faced values with your own numbers"]
[]
[null,"A"]
[{"$nulls":4},"L =",26.2,"ft",{"v":7.991,"d":"7.99"},"m",null,null,"Acceptable room if:"]
[{"$nulls":3},"Room dimensions in feet","W =",16.4,"ft",{"v":5.002,"d":"5.00"},"m","1.1*(W/H) < (L/H) < 4.5*(W/H)-4",{"$nulls":3},"L/H < 3","W/H < 3"]
[{"$nulls":4},"H =",8.2,"ft",{"v":2.501,"d":"2.50"},"m",2.2,{"v":3.1951219512195124,"d":"3.2"},{"v":5,"d":"5.0"},null,{"v":3.1951219512195124,"d":"3.2"},{"v":2,"d":"2.0"}]
[{"$nulls":11},"(R. Walker, BBC, 1996)"]
[{"$nulls":4},"Floor area A =",{"v":430.08776631999996,"d":"430"},"ft^2",{"v":39.970982,"d":"40.0"},"m^2"]
[{"$nulls":4},"Volume V =",{"v":3529.84981142442,"d":"3530"},"ft^3",{"v":99.967425982,"d":"100"},"m^3"]
[{"$nulls":4},"Surface area S =",{"v":1559.478542,"d":"1559"},"ft^2",{"v":144.93295,"d":"145"},"m^2"]
[{"$nulls":4},"Volume/Surface  V/S= ",{"v":2.26348084719233,"d":"2.26"},"ft",{"v":0.6897494736842105,"d":"0.69"},"m"]
[{"$nulls":4},"Edge length Le =",{"v":203.28127999999995,"d":"203"},"ft",{"v":61.97599999999999,"d":"62"},"m"]
[]
[{"$nulls":4},"Below frequency fm =",100,"Hz"]
[{"$nulls":4},"Total number of modes N =",{"v":22.157859434658995,"d":"22"}]
[{"$nulls":4},"Avg. mode spacing df =",{"v":3.2404621561903157,"d":"3.2"},"Hz at fm"]
[]
[{"$nulls":4},"Estimated reverberation time T60 =",250,"ms"]
[{"$nulls":4},"Resonance bandwidth bw =",8.8,"Hz"]
[{"$nulls":4},"Rise time Trise =",80,"ms"]
[{"$nulls":4},"Schroeder frequency fs =",{"v":95.01547643962633,"d":"95"},"Hz"]
[{"$nulls":4},"Monopole reverb distance Rm =",{"v":1.1281953729105068,"d":"1.13"},"m",{"v":44.40576987775754,"d":"44"},"inch"]
[{"$nulls":4},"Dipole reverb distance Rd =",{"v":1.954091706745114,"d":"1.95"},"m",{"v":76.91304957748768,"d":"77"},"inch"]
[{"$nulls":4},"Avg wall absorption a =",{"v":0.4497166568421052,"d":"45%"}]
[]
[{"$nulls":4},"Estimated avg wall absorption a =",{"v":0.4,"d":"40%"}," "]
[{"$nulls":4},"Reverberation time T60 =",{"v":281.07291052631575,"d":"281"},"ms"]
[]
[]
[null,"enter",{"v":5,"d":"5.0"},"m",null,null,"Preferably:"]
[null,"equals",{"v":16.404199475065617,"d":"16.4"},"feet",null,null,"Listening Distance  D < 2*Rx"]
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[null,"enter",{"v":8,"d":"8.00"},"ft"]
[null,"equals",{"v":2.4384,"d":"2.44"},"m"]
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[]
[]
[null,"T60","2*Rm","2*Rd","a","fs"]
[null,"ms","m","m","%","Hz"]
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[null,150,{"v":2.839725167901758,"d":"2.8"},{"v":4.918548270337905,"d":"4.9"},{"v":0.7495277614035086,"d":"75%"},{"v":77.47228587002861,"d":"77"}]
[null,200,{"v":2.4592741351689527,"d":"2.5"},{"v":4.259587751852637,"d":"4.3"},{"v":0.5621458210526316,"d":"56%"},{"v":89.45729020359332,"d":"89"}]
[null,250,{"v":2.199641656617914,"d":"2.2"},{"v":3.8098911077072004,"d":"3.8"},{"v":0.4497166568421052,"d":"45%"},{"v":100.01629098908035,"d":"100"}]
[null,300,{"v":2.0079889229294405,"d":"2.0"},{"v":3.477938835549297,"d":"3.5"},{"v":0.3747638807017543,"d":"37%"},{"v":109.56235738543997,"d":"110"}]
[null,350,{"v":1.8590365049687123,"d":"1.9"},{"v":3.2199456797310813,"d":"3.2"},{"v":0.32122618345864656,"d":"32%"},{"v":118.3408714202213,"d":"118"}]
[null,400,{"v":1.7389694177746484,"d":"1.7"},{"v":3.0119833843941604,"d":"3.0"},{"v":0.2810729105263158,"d":"28%"},{"v":126.5117130590675,"d":"127"}]
[null,450,{"v":1.639516090112635,"d":"1.6"},{"v":2.839725167901758,"d":"2.8"},{"v":0.2498425871345029,"d":"25%"},{"v":134.18593530539,"d":"134"}]
[null,500,{"v":1.555381531574938,"d":"1.6"},{"v":2.6939998378420884,"d":"2.7"},{"v":0.2248583284210526,"d":"22%"},{"v":141.4443951750114,"d":"141"}]
[null,550,{"v":1.4829981023602155,"d":"1.5"},{"v":2.5686280608161236,"d":"2.6"},{"v":0.20441666220095692,"d":"20%"},{"v":148.34813318362745,"d":"148"}]
[null,600,{"v":1.419862583950879,"d":"1.4"},{"v":2.4592741351689527,"d":"2.5"},{"v":0.18738194035087716,"d":"19%"},{"v":154.94457174005723,"d":"155"}]
[null,650,{"v":1.3641598453498485,"d":"1.4"},{"v":2.36279416179124,"d":"2.4"},{"v":0.17296794493927123,"d":"17%"},{"v":161.27142339655907,"d":"161"}]
[null,700,{"v":1.3145373191367153,"d":"1.3"},{"v":2.276845425190175,"d":"2.3"},{"v":0.16061309172932328,"d":"16%"},{"v":167.35926534552755,"d":"167"}]
[null,750,{"v":1.2699637025690669,"d":"1.3"},{"v":2.199641656617914,"d":"2.2"},{"v":0.14990555228070174,"d":"15%"},{"v":173.23329757768045,"d":"173"}]
[null,800,{"v":1.2296370675844763,"d":"1.2"},{"v":2.1297938759263184,"d":"2.1"},{"v":0.1405364552631579,"d":"14%"},{"v":178.91458040718663,"d":"179"}]
[null,850,{"v":1.1929231790177783,"d":"1.2"},{"v":2.0662035555853753,"d":"2.1"},{"v":0.13226960495356035,"d":"13%"},{"v":184.42092824547365,"d":"184"}]
[null,900,{"v":1.159312945183099,"d":"1.2"},{"v":2.00798892292944,"d":"2.0"},{"v":0.12492129356725146,"d":"12%"},{"v":189.76756958860125,"d":"190"}]
[null,950,{"v":1.1283923610173527,"d":"1.1"},{"v":1.954432900154658,"d":"2.0"},{"v":0.11834648864265927,"d":"12%"},{"v":194.9676438802272,"d":"195"}]