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["Workshop String Calculation worksheet: Harpsichords etc, 8' tension range 0 - 16 Kgf for single register."]
["Unhiding the hidden columns will reveal those containing formulae and other bits not usually required;\nHide the gray rows & columns for ease of use and for printing. Rest cursor on cells with RED corners for relevent information."]
["Enter Reference Pitch in cell F9 , and string lengths measured to the nearest millimeter in column D; enter diameter and code for string material in columns G & H to calculate tensions for existing strings. "]
["String codes and their densitys are given in Vlookup table 3, AV15:AY37;  types 1-13 are standard metric sizes and 14-20 are metric equivalents of the old imperial standard sizes, the nominal sizes given in column Q reflect the string codes you use."]
["For re-stringing, draw a graph to suit your instrument and read off string tensions; enter these into the 'T(graph)' column ,add codes for string material in the adjacent 'String codes' column  and bingo! "]
["Click on the tabs below to see relevent charts. Adjustments made to the figures in the speadsheet to create the ideal tension curve will be instantly reflected in the graph."]
["For covered strings scroll to columns BA to BN, and enter core and cover diameters and materials, in the relevent columns; for closewound strings, winding pitch = cover diameter. The resultant tension figures should be entered manually into the relevent column to appear on the charts.. "]
["After reading this, hide the grey rows and the rows with the unwanted bass and treble notes.\nThen highlight the cell corresponding to the first note in the bass (FF is A23) in col A, then select  Windows/Freeze panes."]
["Instrument:","********",{"$nulls":18},"String         1, 1.2, 1.3=",null,"Rose Iron, types A,B & C",null,null,"Others"]
["Ref. Pitch:",409,{"$nulls":18},"material     2=",null,"Rose Yellow Brass"]
[{"$nulls":20},"code          3=",null,"Rose Red Brass"]
["Assuming type 2 iron wire for max T.",{"$nulls":19},"0 =",null,"wound string"]
[]
[{"$nulls":4},"             Existing stringing ",{"$nulls":3},1.0594630943592953,"String scale (Chart 1)",{"$nulls":5},"Calculate new diameters",{"$nulls":9},"Change",{"$nulls":12},"String material",null,"VLOOKUP TABLE 1 (standard metric sizes)"]
[{"$nulls":5},"Total Tension for one register =",{"$nulls":3},"Log string length","Just scale, based on c''",{"$error":"#N/A"},{"$nulls":8},"Total Tension for one register =",null,{"$error":"#DIV/0!"},null,null,{"$error":"#DIV/0!"},{"$nulls":12},"Rec. max. tension",null,"Diameter","Nominal","Maximum recommended tensions.",{"$nulls":10},"COVERED STRING CALCULATIONS",{"$nulls":14},"Standard stock"]
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["Number",null,"      (Hz)","(mm.)","(mm)","Code","Type","kg/m³",null,{"$error":"#VALUE!"},"based on c\"","(Kgf)","per note",null,"(Kgf)","(Kgf)","Code","Type","kg/m³","(mm.)","(Rose wire)",null,"(Kgf)","per note",null,"(Kgf)",{"$nulls":14},"(mm)","(mm)","Type A","Type B","Type C",null,"Brass",null,"code","TYPE","Wire type","density, kg/m³","o/d","Number",null,"      (Hz)","mm.","mm.","code",null,"mm.","code",null,"pitch (mm)",null,null,"kgf","kgf","sizes, mm"]
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[69]

{"sheet":"4' STR_CALC","index":4,"n_rows":104,"n_cols":68,"rows_kept":104,"merged":[[14,52,14,65]],"flags":["formulas_cached_only"]}
["Workshop String Calculation worksheet: Harpsichords etc, 4' tension range 0 - 16 Kgf for single register."]
["Unhiding the hidden columns will reveal those containing formulae and other bits not usually required;\nHide the gray rows & columns for ease of use and for printing. Left-click cells with RED corners for relevent information."]
["Reference Pitch will usually be calculated from the 8' value you entered in the 8' spreadsheet. Enter string lengths (to the nearest mm) in column D; enter diameter and code for string material in columns G & H to calculate tensions for existing strings. "]
["String codes and their densitys are given in Vlookup table 3, AV15:AY37;  types 1-13 are standard metric sizes and 14-20 are metric equivalents of the old imperial standard sizes, the nominal sizes given in column Q reflect the string codes you use."]
["For new strings, draw a graph to suit your instrument and read off tensions; enter these into the 'T(graph)' column , add codes for string material in the adjacent 'String codes' column  and bingo! "]
["Click on the tabs below to see relevent charts. Adjustments made to the figures in the speadsheet to create the ideal tension curve will be instantly reflected in the graph."]
["For covered strings scroll to columns BA to BN, and enter core and cover diameters and materials, in the relevent columns; for closewound strings, winding pitch = cover diameter. The resultant tension figures should be entered manually into the relevent column to appear on the charts.. "]
["After reading this, hide the grey rows and the rows with the unwanted bass and treble notes.\nThen highlight the cell corresponding to the first note in the bass (FF is A23) in col A, then select  Windows/Freeze panes."]
["Instrument:","********",{"$nulls":18},"String         1, 1.2, 1.3=","Rose Iron, types A,B & C",null,null,"Others"]
["Ref. Pitch:",818,{"$nulls":18},"material     2=","Rose Yellow Brass"]
[{"$nulls":20},"code          3=","Rose Red Brass"]
[{"$nulls":20},"c=","wound string"]
[]
[{"$nulls":4},"             Existing stringing ",{"$nulls":3},1.0594630943592953,"String scale (Chart 1)",{"$nulls":5},"Calculate new diameters",{"$nulls":8},"Change",{"$nulls":12},"String material",null,"VLOOKUP TABLE 1 (standard metric sizes)"]
[{"$nulls":5},"Total Tension for one register =",{"$nulls":3},"Log string length","Just scale, based on c''",{"$error":"#N/A"},{"$nulls":8},"Total Tension for one register =",{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$nulls":12},"Rec. max. tension",null,"Diameter","Nominal","Maximum recommended tensions.",{"$nulls":10},"COVERED STRING CALCULATIONS",{"$nulls":14},"Standard stock"]
["Std.Note","Note","        F","Speaking Length","Diameter","String ","String ","Density",null,"Log L","Just scale","Tension","strings","Total","T(Max)","T (Graph)","String ","String ","Density","Diameter","Nom. D","T(Calc.)","strings","Total","T(Max)",{"$nulls":12},"Calculated tension",null,"range","Diameters","Iron","Iron","Iron","Brass","Red ",null,"Vlookup table 3",{"$nulls":4},"Std.Note","NOTE","       F","LENGTH","core diam.","core ",null,"cover diam.","cover",null,"winding",null,null,"Tension",null,"covering wire"]
["Number",null,"      (Hz)","(mm.)","(mm)","Code","Type","kg/m³",null,null,"based on c\"","(Kgf)","per note",null,"(Kgf)","(Kgf)","Code","Type","kg/m³","(mm.)",null,"(Kgf)","per note",null,"(Kgf)",{"$nulls":14},"(mm)","(mm)","Type A","Type B","Type C",null,"Brass",null,"code","TYPE","Wire type","density, kg/m³","o/d","Number",null,"      (Hz)","mm.","mm.","code",null,"mm.","code",null,"pitch (mm)",null,null,"kgf",null,"sizes, mm"]
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[5,"CC #",{"v":64.41346367587526,"d":"64.41"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},0,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.155,0.16,{"$nulls":6},1,0.5,"Rose Iron",7769,null,5,"CC #",{"v":64.41346367587526,"d":"64.41"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"}]
[6,"DD",{"v":68.24368754444288,"d":"68.24"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},0,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.165,0.17,{"$nulls":6},2,1,"Rose yellow brass",8536,null,6,"DD",{"v":68.24368754444288,"d":"68.24"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"}]
[7,"DD #",{"v":72.30166837632434,"d":"72.30"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},0,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.18,0.19,3.1,null,null,2.3,null,null,3,1.5,"Rose red brass",8769,null,7,"DD #",{"v":72.30166837632434,"d":"72.30"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"}]
[8,"EE",{"v":76.6009493053202,"d":"76.60"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.2,0.21,3.7,null,null,2.8,null,null,4,null,"pure copper ",8890,null,8,"EE",{"v":76.6009493053202,"d":"76.60"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"}]
[9,"FF",{"v":81.15587878187405,"d":"81.16"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.22,0.23,4.3,null,null,3.2,null,null,5,null,"tinned copper ",8730,null,9,"FF",{"v":81.15587878187405,"d":"81.16"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.6]
[10,"FF #",{"v":85.98165845969216,"d":"85.98"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.24,0.25,4.9,null,null,3.8,null,null,6,null,"silver plated copper",9051,null,10,"FF #",{"v":85.98165845969216,"d":"85.98"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.56]
[11,"GG",{"v":91.09439392984953,"d":"91.09"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.26,0.27,5.5,null,null,4.4,null,null,7,null,"pure tin",7300,null,11,"GG",{"v":91.09439392984953,"d":"91.09"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.52]
[12,"GG #",{"v":96.511148471703,"d":"96.51"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.285,0.3,6.4,8.1,null,5.3,null,null,8,null,"silver",10500,null,12,"GG #",{"v":96.511148471703,"d":"96.51"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.48]
[13,"AA",{"v":102.24999999999983,"d":"102.25"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.315,0.33,7.4,9.3,null,6.4,null,null,9,null,"gold",19300,null,13,"AA",{"v":102.24999999999983,"d":"102.25"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.44]
[14,"AA #",{"v":108.33010139823776,"d":"108.33"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.345,0.36,null,10.4,null,7.5,5.2,null,10,null,"platinum",21450,null,14,"AA #",{"v":108.33010139823776,"d":"108.33"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.4]
[15,"BB",{"v":114.7717444396332,"d":"114.77"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.38,0.4,null,12,15.7,9.1,5.9,null,11,0.5,"Marc Vogel (Gug) Iron",7849,null,15,"BB",{"v":114.7717444396332,"d":"114.77"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.36]
[16,"C",{"v":121.59642750902803,"d":"121.60"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},{"$error":"#NUM!"},{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.42,0.44,null,13.6,18.4,10.8,7.5,null,12,1,"Marc Vogel (Gug)Brass",8646,null,16,"C",{"v":121.59642750902803,"d":"121.60"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.3]
[17,"C #",{"v":128.82692735175058,"d":"128.83"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.46,0.48,null,15.4,20.8,12.4,8.1,null,13,1.5,"Marc Vogel (Gug) Copper",8944,null,17,"C #",{"v":128.82692735175058,"d":"128.83"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.27]
[18,"D",{"v":136.4873750888858,"d":"136.49"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.5,0.52,null,17.1,23.5,14,9.6,null,14,0.5,"Zuckerman iron",7847,null,18,"D",{"v":136.4873750888858,"d":"136.49"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,0.25]
[19,"D #",{"v":144.60333675264877,"d":"144.60"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.54,0.56,null,18.7,26.4,16,10.9,null,15,1,"Zuckerman brass 70/30",8404,null,19,"D #",{"v":144.60333675264877,"d":"144.60"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"}]
[20,"E",{"v":153.20189861064048,"d":"153.20"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.58,0.6,null,20.8,29,19,12.5,null,16,1.5,"Zuckerman red brass 90/10",8564,null,20,"E",{"v":153.20189861064048,"d":"153.20"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"}]
[21,"F",{"v":162.3117575637482,"d":"162.31"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.625,0.65,null,23.3,32.4,21.6,14,null,17,0.5,"Heckscher  German steel music wire",7741,null,21,"F",{"v":162.3117575637482,"d":"162.31"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"v":0,"d":"0.00"},{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"}]
[22,"F #",{"v":171.96331691938443,"d":"171.96"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"},null,{"$error":"#N/A"},null,{"$error":"#N/A"},0,null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},0,{"$error":"#N/A"},0,{"$nulls":14},0.675,0.7,null,26,35.8,24.3,null,null,18,0.5,"Heckscher  \"high carbon iron\"",7832,null,22,"F #",{"v":171.96331691938443,"d":"171.96"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#REF!"}]
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[]
["Unhide rows 84:101 for more! (to c5)"]