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(* Beginning of Notebook Content *)
Notebook[{

Cell[CellGroupData[{
Cell["Ave Verum Corpus", "Subtitle"],

Cell[CellGroupData[{

Cell["Note sequence", "Section"],

Cell[CellGroupData[{

Cell["Soprano", "Subsection"],

Cell["\<\
aves={{10,2},{15,3},{7,3},
       {10,3},{9,3},{8,2},
       {8,3},{12,3},{10,3},{8,3},
       {8,3},{7,3},{7,2},
       {5,6},{5,3},{7,3},{7,3},{8,3},{8,3},{8,2},{7,3},{7,3},{5,1},
       {5,6},{10,3},{10,3},{9,3},{9,2},{5,3},{9,2},{12,3},{12,3},{10,3},{10,3}\
,{10,3},
       {15,2},{15,2},{15,3},{14,3},{12,3},{10,3},{10,2},{9,3},{9,3},{10,1},
       {10,6},{10,3},{10,3},{11,3},{11,3},{11,3},
      {11,3},{15,3},{13,3},{11,3},{11,3},{10,3},{10,2},
      {8,6},{8,3},{8,3},{11,3},{10,3},{8,3},{8,2},{6,4},{5,4},{6,3},{5,1},
      {7,6},{7,3},{7,3},{5,3},{3,3},{8,3},{8,3},{8,3},{8,3},{8,3},
      {8,3},{7,3},{5,3},{10,3},{10,3},{10,3},{10,3},{10,3},
      {10,3},{8,3},{10,3},{12,3},{7,2},{5,3},{5,4},{7,4},{8,2},
      {8,2},{15,2},{15,2},{15,2},{16,2},{17,3},{12,3},{14,3},{15,3},
      {14,3},{12,4},{10,4},{15,3},{8,3},{7,2},{5,7},{5,4},{3,1}};
max=Length[aves];\
\>", "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Alto", "Subsection"],

Cell["\<\
avea={{7,2},{7,3},{7,3},
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       {5,3},{3,3},{3,2},
       {2,6},{2,3},{3,3},{3,3},{5,3},{5,3},{5,2},{3,3},{3,3},{2,1},
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10,3},
       {27,2},{9,2},{10,3},{10,3},{7,3},{7,3},{5,2},{5,3},{5,3},{5,1},
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      {5,3},{3,4},{2,4},{3,3},{3,3},{3,2},{2,7},{2,4},{3,1}};\
\>", "Input"]
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Cell["Tenor", "Subsection"],

Cell["\<\
avet={{10,2},{10,3},{10,3},
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5,1},
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      {10,3},{10,4},{10,4},{10,3},{8,3},{10,2},{8,7},{8,4},{7,1}};
\
\>", "Input"]
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Cell["Bass", "Subsection"],

Cell["\<\
aveb={{15,2},{15,3},{15,3},
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       {15,3},{15,3},{15,2},
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       {27,2},{12,2},{14,3},{14,3},{15,3},{15,3},{17,2},{17,3},{17,3},{10,1},
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10,1},
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\>", "Input"]
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Cell["Musical notes and durations", "Section"],

Cell["damping for overtones:", "Text"],

Cell["g=1.2;", "Input"],

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Cell["\<\
table of notes for treble staff (middle C plus two octaves
(1-C, 2-C#, 3-D, 4-D#, 5-E, 6-F, 7-F#, 8-G, 9-G#, 10-A, 11-A#, 12-B, 13-C', \
14-C#', 15-D', 16-D#', 17-E', 18-F', 19-F#', 20-G', 21-G#', 22-A', 23-A#', \
24-B', 25-C\",26-C#'',27-break,28-B3)\
\>", "Subsection"],

Cell["\<\
note={};
For[n=1, n<27,n=n+1,
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    AppendTo[note,0.];AppendTo[note,Exp[-g*t]*Sum[Sin[i*2*Pi*261.6*2^(-1./12.)\
]/i^2,{i,1,10}]];\
\>", "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
table of notes for bass staff (starting two octaves below middle C)
(1-C, 2-C#, 3-D, 4-D#, 5-E, 6-F, 7-F#, 8-G, 9-G#, 10-A, 11-A#, 12-B, 13-C', \
14-C#', 15-D', 16-D#', 17-E', 18-F', 19-F#', 20-G', 21-G#', 22-A', 23-A#', \
24-B', 25-C\",26-C#'',27-break)\
\>", "Subsection"],

Cell["\<\
bnote={};
For[n=1, n<27,n=n+1,
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    }];
    AppendTo[bnote,0.];\
\>", "Input"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
table for durations for base time
(1-whole, 2-half, 3-quarter, 4-eightth, 5-sixteenth, 6-half-dot, \
7-quarter-dot, 8-eighth-dot)\
\>", "Subsection"],

Cell["\<\
base=2.3;
dur={};
For[n=1, n<6,n=n+1,
  { AppendTo[dur,base/(2^(n-1))]}];
  AppendTo[dur,2.5*base/4.];AppendTo[dur,2.5*base/8.];AppendTo[dur,2.5*base/\
16.];\
\>", "Input"]
}, Open  ]]
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Cell["Play the actual song", "Section"],

Cell[CellGroupData[{

Cell["\<\
song={}
For[k=1,k<max+1,k=k+1,{
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tim=aves[[k,2]];
AppendTo[song,Play[Evaluate[note[[currs]]+0.8*note[[curra]]+0.7*note[[currt]]+\
0.8*bnote[[currb]]],{t,0,dur[[tim]]},PlayRange->All]]}];
Export[\"aveverum.wav\",song,\"WAV\"];\
\>", "Input"],

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