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["D J LAW  String Calculation Worksheet: Piano (Tension Range  0 - 60 Kgf)"]
["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.Hold cursor over colourfilled cells for relevent information."]
["Enter Reference Pitch in cell L9..... (we use A425 for all piano calculations to make comparisons meaningful)\nEnter string lengths measured to the nearest millimeter in column D;\nFinally enter diameter and code for string material in columns G & H to calculate tensions for existing strings. "]
["String codes are a shorthand way of entering the densities of the many types of wire available during the last 50 years or so; for details see Vlookup table 2 (AG15:AI37).\nThe nominal sizes given in column Q are standard (Rose) metric wire sizes."]
["For new strings, draw a graph to suit your instrument and read off tensions; enter these into the 'T(graph)' column,\nadd codes for string material in the adjacent 'String`codes' column  and bingo! "]
["Click the tabs to see the charts full screen.\nAdjustments made to the figures in the speadsheet to create the ideal tension curve will be instantly reflected in the graph."]
["For covered strings enter 0 (zero) as string code; scroll to columns AL to AY, and enter core and cover diameters and materials, in the relevent columns;\nFor closewound strings, winding pitch = cover diameter. "]
["After reading this, hide the grey rows and the rows with the unwanted bass notes.\nThen highlight the first cell (FF is A23) in col A, then select  Windows/Freeze panes."]
["Instrument:","Here type maker,date…",{"$nulls":8},"Ref. Pitch (a') =",425,{"$nulls":4},"Legend for charts",null,"String     1=",null,"Rose Iron (type B assumed)"]
["Makers' No:",{"$nulls":15},"String material",null,"material 2=",null,"Rose Yellow Brass"]
[{"$nulls":16},"Rec. max. tension",null,"code      3=",null,"Rose Red Brass"]
[{"$nulls":16},"Calculated tension",null,"More:"]
[{"$nulls":4},"String scale graph",null,"Existing stringing ",null,null,1.0594630943592953,{"$nulls":4},"Calculate new diameters ",{"$nulls":10},"VLOOKUP TABLE",{"$nulls":27},"Existing","Proposed"]
[{"$nulls":4},"Log string length","Just scale, based on c''",null,"Total Tension for one register =",null,null,{"$error":"#N/A"},{"$nulls":7},"Total Tension for one register =",null,{"$error":"#N/A"},{"$nulls":4},"Diameter","Nominal","Maximum recommended tensions.",{"$nulls":9},"COVERED STRING CALCULATIONS",{"$nulls":15},"strings","restringing",null,"Lucy's stock"]
["Std.Note","Note","        F","       L","Log L","Just scale","       D","String ","Density",null,"Tension","Number of ","Total","T(Max)","T (Graph)","String ","Density","Diameter","Nom. D","T(Calc)","T(Calc.)","Number of ","Total","T(Max)",null,"range","Diameters","Iron","Iron","Iron","Brass","Red ",null,"Vlookup table 2",{"$nulls":3},"Std.Note","NOTE","       F","LENGTH","core diam.","core ",null,"cover diam.","cover",null,"winding",null,null,"Tension",null,"Note","Total","Total",null,"covering wire"]
["Number",null,"      (Hz)","    (mm.)",null,"based on c\"","(mm)","Code","kg/m³",null,"(Kgf)","strings","Tension","(Kgf)","(Kgf)","Code","kg/m³","(mm.)","Rose Wire",null,"(Kgf)","strings","Tension","(Kgf)",null,"(mm)","(mm)","Type A","Type B","Type C",null,"Brass",null,"code","Wire type","density, kg/m³",null,"Number",null,"      (Hz)","mm.","mm.","code",null,"mm.","code",null,"pitch (mm)",null,null,"kgf",null,null,"Tension","Tension",null,"sizes"]
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[5,"CC #",{"v":33.46665288783252,"d":"33.47"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.155,0.16,{"$nulls":6},1,"Rose Iron",7769,null,5,"CC #",{"v":33.46665288783252,"d":"33.47"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"CC #",{"$error":"#N/A"},{"$error":"#N/A"}]
[6,"DD",{"v":35.45668362639149,"d":"35.46"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.165,0.17,{"$nulls":6},2,"Rose yellow brass",8536,null,6,"DD",{"v":35.45668362639149,"d":"35.46"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"DD",{"$error":"#N/A"},{"$error":"#N/A"}]
[7,"DD #",{"v":37.565047750535285,"d":"37.57"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.18,0.19,3.1,null,null,2.3,null,null,3,"Rose red brass",8769,null,7,"DD #",{"v":37.565047750535285,"d":"37.57"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"DD #",{"$error":"#N/A"},{"$error":"#N/A"}]
[8,"EE",{"v":39.7987817295368,"d":"39.80"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.2,0.21,3.7,null,null,2.8,null,null,4,"pure copper ",8890,null,8,"EE",{"v":39.7987817295368,"d":"39.80"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"EE",{"$error":"#N/A"},{"$error":"#N/A"}]
[9,"FF",{"v":42.16534044290524,"d":"42.17"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.22,0.23,4.3,null,null,3.2,null,null,5,"tinned copper ",8730,null,9,"FF",{"v":42.16534044290524,"d":"42.17"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"FF",{"$error":"#N/A"},{"$error":"#N/A"},null,0.6]
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[13,"AA",{"v":53.124999999999936,"d":"53.12"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.315,0.33,7.4,9.3,null,6.4,null,null,9,"gold",19300,null,13,"AA",{"v":53.124999999999936,"d":"53.12"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"AA",{"$error":"#N/A"},{"$error":"#N/A"},null,0.44]
[14,"AA #",{"v":56.2839768878375,"d":"56.28"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.345,0.36,8.6,10.4,null,7.5,5.2,null,10,"platinum",21450,null,14,"AA #",{"v":56.2839768878375,"d":"56.28"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"AA #",{"$error":"#N/A"},{"$error":"#N/A"},null,0.4]
[15,"BB",{"v":59.63079631643537,"d":"59.63"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.38,0.4,null,12,15.7,9.1,5.9,null,11,"Marc Vogel (Gug) Iron",7849,null,15,"BB",{"v":59.63079631643537,"d":"59.63"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"BB",{"$error":"#N/A"},{"$error":"#N/A"},null,0.36]
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[18,"D",{"v":70.913367252783,"d":"70.91"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.5,0.52,null,17.1,23.5,14,9.6,null,14,"Zuckerman iron",7847,null,18,"D",{"v":70.913367252783,"d":"70.91"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"D",{"$error":"#N/A"},{"$error":"#N/A"},null,0.25]
[19,"D #",{"v":75.1300955010706,"d":"75.13"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.54,0.56,null,18.7,26.4,16,10.9,null,15,"Zuckerman brass 70/30",8404,null,19,"D #",{"v":75.1300955010706,"d":"75.13"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"D #",{"$error":"#N/A"},{"$error":"#N/A"}]
[20,"E",{"v":79.59756345907363,"d":"79.60"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.58,0.6,null,20.8,29,19,12.5,null,16,"Zuckerman red brass 90/10",8564,null,20,"E",{"v":79.59756345907363,"d":"79.60"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"E",{"$error":"#N/A"},{"$error":"#N/A"}]
[21,"F",{"v":84.33068088581052,"d":"84.33"},null,{"$error":"#NUM!"},{"$nulls":3},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,{"$error":"#N/A"},{"$error":"#N/A"},null,0.625,0.65,null,23.3,32.4,21.6,14,null,17,"Heckscher  German steel music wire",7741,null,21,"F",{"v":84.33068088581052,"d":"84.33"},0,null,null,{"$error":"#N/A"},null,null,{"$error":"#N/A"},null,{"$error":"#DIV/0!"},{"$error":"#N/A"},{"$error":"#N/A"},null,"F",{"$error":"#N/A"},{"$error":"#N/A"}]
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