{"text_format":"3","workbook":"xls","n_sheets":1,"sheets":["String length"],"not_rendered":{"external_links":1,"defined_names":6},"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"String length","index":0,"n_rows":98,"n_cols":22,"rows_kept":98,"flags":["formulas_cached_only"]}
["Calculation of string lengths of all intermediate strings from measured C and F# strings.",{"$nulls":6},"Standard piano note number","Note","String Length \n(mm)",null,"Standard piano note number","Note","String Length \n(mm)",null,"Standard piano note number","Note","String Length \n(mm)",null,"Standard piano note number","Note","String Length \n(mm)"]
[{"$nulls":3},"FF#",{"$nulls":3},4,"CC",null,null,28,"c_",{"v":0,"d":"0.00"},null,52,"c2",{"v":0,"d":"0.00"},null,76,"c4",{"v":0,"d":"0.00"}]
["Enter lengths (in mm.) of  the",null,null,"C",{"$nulls":3},5,"  CC#",null,null,29,"   c_#",{"v":0,"d":"0.00"},null,53,"   c#2",{"v":0,"d":"0.00"},null,77,"  c#4",{"v":0,"d":"0.00"}]
["\"reference\" strings in this table>>>",null,null,"F#",{"$nulls":3},6,"DD",null,null,30,"d_",{"v":0,"d":"0.00"},null,54,"d2",{"v":0,"d":"0.00"},null,78,"d4",{"v":0,"d":"0.00"}]
[{"$nulls":3},"c",{"$nulls":3},7,"  DD#",null,null,31,"    d_#",{"v":0,"d":"0.00"},null,55,"   d#2",{"v":0,"d":"0.00"},null,79,"  d#4",{"v":0,"d":"0.00"}]
["Hand measure all strings below",null,null,"f#",{"$nulls":3},8,"EE",null,null,32,"e_",{"v":0,"d":"0.00"},null,56,"e2",{"v":0,"d":"0.00"},null,80,"e4",{"v":0,"d":"0.00"}]
["this range! and all strings that are   ",null,null,"c1",{"$nulls":3},9,"FF",null,null,33,"f_",{"v":0,"d":"0.00"},null,57,"f2",{"v":0,"d":"0.00"},null,81,"f4",{"v":0,"d":"0.00"}]
["obviously heavily foreshortened.",null,null,"f#1",{"$nulls":3},10,"   FF#",{"v":0,"d":"0.00"},null,34,"   f_#",{"v":0,"d":"0.00"},null,58,"   f#2",{"v":0,"d":"0.00"},null,82]
[{"$nulls":3},"c2",{"$nulls":3},11,"GG",null,null,35,"g_",{"v":0,"d":"0.00"},null,59,"g2",{"v":0,"d":"0.00"},null,83]
["\"Imaginary\" notes are needed for",null,null,"f#2",{"$nulls":3},12,"   GG#",null,null,36,"   g_#",{"v":0,"d":"0.00"},null,60,"   g#2",{"v":0,"d":"0.00"},null,84]
["one octave beyond the extreme",null,null,"c3",{"$nulls":3},13,"AA",null,null,37,"a_",{"v":0,"d":"0.00"},null,61,"a2",{"v":0,"d":"0.00"},null,85]
["treble, for calculation; invent them ",null,null,"f#3",{"$nulls":3},14,"   AA#",null,null,38,"   a_#",{"v":0,"d":"0.00"},null,62,"   a#2",{"v":0,"d":"0.00"},null,86]
["by halving the string an octave above.",null,null,"c4",{"$nulls":3},15,"BB",null,null,39,"b_",{"v":0,"d":"0.00"},null,63,"b2",{"v":0,"d":"0.00"},null,87]
[{"$nulls":3},"f#4",{"$nulls":3},16,"C",{"v":0,"d":"0.00"},null,40,"c1",{"v":0,"d":"0.00"},null,64,"c3",{"v":0,"d":"0.00"},null,88]
["You can only enter values in the yellow",null,null,"c5",{"$nulls":3},17,"   C#",{"v":0,"d":"0.00"},null,41,"   c#1",{"v":0,"d":"0.00"},null,65,"   c#3",{"v":0,"d":"0.00"}]
["cells, the rest of the sheet is protected.",{"$nulls":6},18,"D",{"v":0,"d":"0.00"},null,42,"d1",{"v":0,"d":"0.00"},null,66,"d3",{"v":0,"d":"0.00"}]
["Below is a copy of the results, unprotected, which you can ",{"$nulls":6},19,"   D#",{"v":0,"d":"0.00"},null,43,"   d#1",{"v":0,"d":"0.00"},null,67,"   d#3",{"v":0,"d":"0.00"}]
["highlight, copy and paste into a calculation worksheet",{"$nulls":6},20,"E",{"v":0,"d":"0.00"},null,44,"e1",{"v":0,"d":"0.00"},null,68,"e3",{"v":0,"d":"0.00"}]
[{"$nulls":7},21,"F",{"v":0,"d":"0.00"},null,45,"f1",{"v":0,"d":"0.00"},null,69,"f3",{"v":0,"d":"0.00"}]
[null,"Note","String length",{"$nulls":4},22,"   F#",{"v":0,"d":"0.00"},null,46,"   f#1",{"v":0,"d":"0.00"},null,70,"   f#3",{"v":0,"d":"0.00"}]
[null,"CC",{"v":0,"d":"0.00"},{"$nulls":4},23,"G",{"v":0,"d":"0.00"},null,47,"g1",{"v":0,"d":"0.00"},null,71,"g3",{"v":0,"d":"0.00"}]
[null,"  CC#",{"v":0,"d":"0.00"},{"$nulls":4},24,"   G#",{"v":0,"d":"0.00"},null,48,"   g#1",{"v":0,"d":"0.00"},null,72,"  g#3",{"v":0,"d":"0.00"}]
[null,"DD",{"v":0,"d":"0.00"},{"$nulls":4},25,"A",{"v":0,"d":"0.00"},null,49,"a1",{"v":0,"d":"0.00"},null,73,"a3",{"v":0,"d":"0.00"}]
[null,"  DD#",{"v":0,"d":"0.00"},{"$nulls":4},26,"   A#",{"v":0,"d":"0.00"},null,50,"   a#1",{"v":0,"d":"0.00"},null,74,"  a#3",{"v":0,"d":"0.00"}]
[null,"EE",{"v":0,"d":"0.00"},{"$nulls":4},27,"B",{"v":0,"d":"0.00"},null,51,"b1",{"v":0,"d":"0.00"},null,75,"b3",{"v":0,"d":"0.00"}]
[null,"FF",{"v":0,"d":"0.00"}]
[null,"   FF#",{"v":0,"d":"0.00"}]
[null,"GG",{"v":0,"d":"0.00"}]
[null,"   GG#",{"v":0,"d":"0.00"}]
[null,"AA",{"v":0,"d":"0.00"}]
[null,"   AA#",{"v":0,"d":"0.00"}]
[null,"BB",{"v":0,"d":"0.00"}]
[null,"C",{"v":0,"d":"0.00"}]
[null,"   C#",{"v":0,"d":"0.00"}]
[null,"D",{"v":0,"d":"0.00"}]
[null,"   D#",{"v":0,"d":"0.00"}]
[null,"E",{"v":0,"d":"0.00"}]
[null,"F",{"v":0,"d":"0.00"}]
[null,"   F#",{"v":0,"d":"0.00"}]
[null,"G",{"v":0,"d":"0.00"}]
[null,"   G#",{"v":0,"d":"0.00"}]
[null,"A",{"v":0,"d":"0.00"}]
[null,"   A#",{"v":0,"d":"0.00"}]
[null,"B",{"v":0,"d":"0.00"}]
[null,"c_",{"v":0,"d":"0.00"}]
[null,"   c_#",{"v":0,"d":"0.00"}]
[null,"d_",{"v":0,"d":"0.00"}]
[null,"    d_#",{"v":0,"d":"0.00"}]
[null,"e_",{"v":0,"d":"0.00"}]
[null,"f_",{"v":0,"d":"0.00"}]
[null,"   f_#",{"v":0,"d":"0.00"}]
[null,"g_",{"v":0,"d":"0.00"}]
[null,"   g_#",{"v":0,"d":"0.00"}]
[null,"a_",{"v":0,"d":"0.00"}]
[null,"   a_#",{"v":0,"d":"0.00"}]
[null,"b_",{"v":0,"d":"0.00"}]
[null,"c1",{"v":0,"d":"0.00"}]
[null,"   c#1",{"v":0,"d":"0.00"}]
[null,"d1",{"v":0,"d":"0.00"}]
[null,"   d#1",{"v":0,"d":"0.00"}]
[null,"e1",{"v":0,"d":"0.00"}]
[null,"f1",{"v":0,"d":"0.00"}]
[null,"   f#1",{"v":0,"d":"0.00"}]
[null,"g1",{"v":0,"d":"0.00"}]
[null,"   g#1",{"v":0,"d":"0.00"}]
[null,"a1",{"v":0,"d":"0.00"}]
[null,"   a#1",{"v":0,"d":"0.00"}]
[null,"b1",{"v":0,"d":"0.00"}]
[null,"c2",{"v":0,"d":"0.00"}]
[null,"   c#2",{"v":0,"d":"0.00"}]
[null,"d2",{"v":0,"d":"0.00"}]
[null,"   d#2",{"v":0,"d":"0.00"}]
[null,"e2",{"v":0,"d":"0.00"}]
[null,"f2",{"v":0,"d":"0.00"}]
[null,"   f#2",{"v":0,"d":"0.00"}]
[null,"g2",{"v":0,"d":"0.00"}]
[null,"   g#2",{"v":0,"d":"0.00"}]
[null,"a2",{"v":0,"d":"0.00"}]
[null,"   a#2",{"v":0,"d":"0.00"}]
[null,"b2",{"v":0,"d":"0.00"}]
[null,"c3",{"v":0,"d":"0.00"}]
[null,"   c#3",{"v":0,"d":"0.00"}]
[null,"d3",{"v":0,"d":"0.00"}]
[null,"   d#3",{"v":0,"d":"0.00"}]
[null,"e3",{"v":0,"d":"0.00"}]
[null,"f3",{"v":0,"d":"0.00"}]
[null,"   f#3",{"v":0,"d":"0.00"}]
[null,"g3",{"v":0,"d":"0.00"}]
[null,"  g#3",{"v":0,"d":"0.00"}]
[null,"a3",{"v":0,"d":"0.00"}]
[null,"  a#3",{"v":0,"d":"0.00"}]
[null,"b3",{"v":0,"d":"0.00"}]
[null,"c4",{"v":0,"d":"0.00"}]
[null,"  c#4",{"v":0,"d":"0.00"}]
[null,"d4",{"v":0,"d":"0.00"}]
[null,"  d#4",{"v":0,"d":"0.00"}]
[null,"e4",{"v":0,"d":"0.00"}]
[null,"f4",{"v":0,"d":"0.00"}]