(*^ ::[ frontEndVersion = "NeXT Mathematica Notebook Front End Version 2.1"; next21StandardFontEncoding; paletteColors = 128; currentKernel; fontset = title, inactive, noPageBreakBelow, noPageBreakInGroup, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, L1, e8, 24, "Times"; ; fontset = subtitle, inactive, noPageBreakBelow, noPageBreakInGroup, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, L1, e6, 18, "Times"; ; fontset = subsubtitle, inactive, noPageBreakBelow, noPageBreakInGroup, nohscroll, preserveAspect, groupLikeTitle, center, M7, italic, L1, e6, 14, "Times"; ; fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M22, bold, L1, a20, 18, "Times"; ; fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M19, bold, L1, a15, 14, "Times"; ; fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, L1, a12, 12, "Times"; ; fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 10, "Times"; ; fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, L1, 12, "Courier"; ; fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier"; ; fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L1, 12, "Courier"; ; fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L1, 12, "Courier"; ; fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L1, 12, "Courier"; ; fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M7, l34, w282, h287, L1, 12, "Courier"; ; fontset = name, inactive, noPageBreakInGroup, nohscroll, preserveAspect, M7, italic, B65535, L1, 10, "Times"; ; fontset = header, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic, L1, 12, "Times"; ; fontset = Left Header, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic, L1, 12, "Times"; ; fontset = footer, inactive, nohscroll, noKeepOnOnePage, preserveAspect, center, M7, italic, L1, 12, "Times"; ; fontset = Left Footer, inactive, nohscroll, noKeepOnOnePage, preserveAspect, center, M7, italic, L1, 12, "Times"; ; fontset = help, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; fontset = clipboard, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; fontset = completions, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12, "Courier"; ; fontset = special1, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; fontset = special2, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; fontset = special3, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; fontset = special4, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; fontset = special5, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, L1, 12; ] :[font = title; inactive; preserveAspect; ] Miscellaneous Tools :[font = subtitle; inactive; preserveAspect; ] for manipulating Sound Objects :[font = text; inactive; preserveAspect; ] This notebook contains some tools which you may find useful when working with Sound objects. :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Generating SampledSoundList Objects From SampledSoundFunction Objects ;[s] 5:0,0;11,1;27,2;41,3;61,4;69,-1; 5:1,16,12,Times,1,18,0,0,0;1,14,11,Courier,1,18,0,0,0;1,16,12,Times,1,18,0,0,0;1,14,11,Courier,1,18,0,0,0;1,16,12,Times,1,18,0,0,0; :[font = text; inactive; preserveAspect; ] Occasionally, it becomes desirable to obtain a SampledSoundList object in order to manipulate the sound represented by a SampledSoundFunction object. ;[s] 5:0,0;47,1;63,2;121,3;141,4;150,-1; 5:1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = text; inactive; preserveAspect; ] The SampledSoundList object has some advantages over a SampledSoundFunction object. The principal advantage is that the actual sound samples may be manipulated, to perform Fast Fourier Transforms (FFT's) and such, in order to perform such tasks as reverberation, echo and filtering. ;[s] 5:0,0;4,1;20,2;55,3;75,4;284,-1; 5:1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = text; inactive; preserveAspect; ] Also, any time the sound is to be played, the actual samples must be computed. In a SampledSoundFunction object, this computation must be repeated whenever the sound is to be played. In a SampledSoundList object, the samples need not be recomputed; they are already part of the object. ;[s] 5:0,0;85,1;105,2;190,3;206,4;288,-1; 5:1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = input; initialization; preserveAspect; ] *) FunctionToList[sound_SampledSoundFunction] := Module[{samps}, samps = Array[sound[[1]], sound[[2]]]; samps /= (Max[Abs[samps]] + 0.00001); Return[SampledSoundList[samps, sound[[3]]]] ] (* :[font = input; initialization; preserveAspect; startGroup; ] *) sinf = Play[Sin[2 Pi 1000 t], {t, 0, 0.05}, SampleRate->22050] (* :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 174; ] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 0.014715 0.588604 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % Start of sampled sound 1 string 22050 1102 8 { currentfile 1 index readhexstring pop } false 1 sampledsound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pop % End of sampled sound % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup; ] The Unformatted text for this cell was not generated. Use options in the Actions Preferences dialog box to control when Unformatted text is generated. ;[o] -Sound- :[font = input; initialization; preserveAspect; startGroup; ] *) sinl = FunctionToList[sinf[[1]]]; (* :[font = message; inactive; preserveAspect; ] General::spell1: Possible spelling error: new symbol name "sinl" is similar to existing symbol "sinf". :[font = input; preserveAspect; startGroup; ] Show[Sound[sinl]] :[font = postscript; PICT; formatAsPICT; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 174; pictureID = 142; soundID = 143; ] :[font = output; output; inactive; preserveAspect; endGroup; endGroup; ] The Unformatted text for this cell was not generated. Use options in the Actions Preferences dialog box to control when Unformatted text is generated. ;[o] -Sound- :[font = text; inactive; preserveAspect; ] Obviously, the SampledSoundFunction object has its advantages as well: ;[s] 3:0,0;15,1;35,2;70,-1; 3:1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = input; preserveAspect; startGroup; ] ByteCount[sinf] :[font = output; output; inactive; preserveAspect; endGroup; ] 1980 ;[o] 1980 :[font = input; preserveAspect; startGroup; ] ByteCount[sinl] :[font = output; output; inactive; preserveAspect; endGroup; endGroup; ] 22092 ;[o] 22092 :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Mixing SampledSoundList Objects ;[s] 3:0,0;7,1;23,2;41,-1; 3:1,16,12,Times,1,18,0,0,0;1,14,11,Courier,1,18,0,0,0;1,16,12,Times,1,18,0,0,0; :[font = text; inactive; preserveAspect; ] Often, when you have generated many sounds, it would be convenient to hear them simultaneously. Below is a function, SoundMix, which combines several SampledSoundList objects into one SampledSoundList object which represents all of the component sounds played together. ;[s] 7:0,0;118,1;126,2;151,3;167,4;185,5;201,6;271,-1; 7:1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = input; initialization; preserveAspect; ] *) SoundMix::srate = "Cannot mix sounds with differing sample rates."; (* :[font = input; initialization; preserveAspect; ] *) SoundMixTest[s_List] := If[(Length[Union[(#[[2]])& /@ s]]) == 1, True, Message[SoundMix::srate]; False ] (* :[font = input; initialization; preserveAspect; ] *) SoundMix[sound___SampledSoundList /; SoundMixTest[{sound}]] := Module[{samps, newlen, i}, If[Length[{sound}] < 1, Return[SampledSoundList[{0.0}, SampleRate /. Options[Play]]] ]; samps = First /@ {sound}; newlen = Max[Length /@ samps]; For[i = 1, i <= Length[samps], i++, samps[[i]] = Join[samps[[i]], Table[0.0, {newlen - Length[samps[[i]]]}]] ]; samps = Plus @@ samps; samps /= (Max[Abs[samps]] + 0.00001); Return[SampledSoundList[samps, {sound}[[1, 2]]]] ] (* :[font = input; initialization; preserveAspect; startGroup; ] *) low = SampledSoundList[Table[N[Sin[2 Pi 400 n/22050.0]], {n, 6615}], 22050]; (* :[font = output; output; inactive; preserveAspect; ] $Aborted ;[o] $Aborted :[font = input; preserveAspect; startGroup; ] Show[Sound[low]] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 174; ] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 0.014715 0.588604 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin 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Use options in the Actions Preferences dialog box to control when Unformatted text is generated. ;[o] -Sound- :[font = text; inactive; preserveAspect; ] Using the FunctionToList function defined above, it is now trivial to extend this function to operate on SampledSoundFunction objects, as well: ;[s] 5:0,0;10,1;24,2;105,3;125,4;144,-1; 5:1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = input; initialization; preserveAspect; ] *) SoundMix[sound___SampledSoundFunction /; SoundMixTest[{sound}]] := SoundMix @@ (FunctionToList /@ {sound}) (* :[font = text; inactive; preserveAspect; ] And, by using just a little more trickery, we can get it to work on a list that contains both kinds of sound objects: :[font = input; initialization; preserveAspect; ] *) SoundMix::head = "The arguments to SoundMix must have Heads of either SampledSoundList or SampledSoundFunction."; (* :[font = input; initialization; preserveAspect; ] *) SoundMixList[s_List] := If[MemberQ[{{SampledSoundList, SampledSoundFunction}, {SampledSoundFunction, SampledSoundList}}, Union[Head /@ s]], True, Message[SoundMix::head]; False ] (* :[font = input; initialization; preserveAspect; endGroup; ] *) SoundMix[sound___ /; SoundMixList[{sound}]] := Module[{dummy, i}, dummy = {sound}; For[i = 1, i <= Length[dummy], i++, If[Head[dummy[[i]]] =!= SampledSoundList, dummy[[i]] = FunctionToList[dummy[[i]]] ] ]; Return[SoundMix @@ dummy] ] (* :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Concatenating SampledSoundList Objects ;[s] 3:0,0;14,1;30,2;39,-1; 3:1,16,12,Times,1,18,0,0,0;1,14,11,Courier,1,18,0,0,0;1,16,12,Times,1,18,0,0,0; :[font = text; inactive; Cclosed; preserveAspect; startGroup; ] Often, when you have generated many sounds, it would be convenient to hear them in succession. Below is a function, SoundSplice, which combines several sound objects into one SampledSoundList object which represents all of the component sounds played in succession. ;[s] 5:0,0;117,1;128,2;176,3;192,4;267,-1; 5:1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0;1,10,8,Courier,0,12,0,0,0;1,11,8,Times,0,12,0,0,0; :[font = input; initialization; preserveAspect; ] *) SoundSplice::srate = "Cannot splice sounds with differing sample rates."; (* :[font = input; initialization; preserveAspect; ] *) SoundSpliceTest[s_List] := If[(Length[Union[(#[[2]])& /@ s]]) == 1, True, Message[SoundSplice::srate]; False ] (* :[font = input; initialization; preserveAspect; ] *) SoundSplice[sound___SampledSoundList /; SoundSpliceTest[{sound}]] := Module[{samps}, If[Length[{sound}] < 1, Return[SampledSoundList[{0.0}, SampleRate /. Options[Play]]] ]; samps = First /@ {sound}; samps = Join @@ samps; Return[SampledSoundList[samps, {sound}[[1, 2]]]] ] (* :[font = input; initialization; preserveAspect; ] *) SoundSplice[sound___SampledSoundFunction /; SoundSpliceTest[{sound}]] := SoundSplice @@ (FunctionToList /@ {sound}) (* :[font = input; initialization; preserveAspect; ] *) SoundSplice::head = "The arguments to SoundSplice must have Heads of either SampledSoundList or SampledSoundFunction."; (* :[font = input; initialization; preserveAspect; ] *) SoundSpliceList[s_List] := If[MemberQ[{{SampledSoundList, SampledSoundFunction}, {SampledSoundFunction, SampledSoundList}}, Union[Head /@ s]], True, Message[SoundSplice::head]; False ] (* :[font = input; initialization; preserveAspect; endGroup; ] *) SoundSplice[sound___ /; SoundSpliceList[{sound}]] := Module[{dummy, i}, dummy = {sound}; For[i = 1, i <= Length[dummy], i++, If[Head[dummy[[i]]] =!= SampledSoundList, dummy[[i]] = FunctionToList[dummy[[i]]] ] ]; Return[SoundSplice @@ dummy] ] (* :[font = input; initialization; Cclosed; preserveAspect; startGroup; ] *) low = SampledSoundList[Table[N[Sin[2 Pi 400 n/22050.0]], {n, 6615}], 22050]; (* :[font = input; preserveAspect; startGroup; ] Show[Sound[low]] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 174; ] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 0.014715 0.588604 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % Start of sampled sound 1 string 22050 6615 8 { currentfile 1 index readhexstring pop } false 1 sampledsound 8E9CAAB8C5D0DBE5EDF4F9FDFFFFFEFBF7F1EAE1D7CBBFB2A49688796B5C4F41352A20170F09 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Use options in the Actions Preferences dialog box to control when Unformatted text is generated. ;[o] -Sound- :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Delaying sounds :[font = text; inactive; preserveAspect; ] Occasionally, it can be handy to cause a sound to have silence at its start. This can be used when combining sounds, to cause sounds to occur sequentially instead of simultaneously. :[font = input; initialization; preserveAspect; ] *) DeltaT[sound_SampledSoundList, dt_] := SampledSoundList[ Join[Table[0.0, {dt * sound[[2]]}], sound[[1]]], sound[[2]] ] (* :[font = input; initialization; preserveAspect; ] *) DeltaT[sound_SampledSoundFunction, dt_] := DeltaT[FunctionToList[sound], dt] (* :[font = input; Cclosed; preserveAspect; startGroup; ] Show[Sound[DeltaT[hi, 0.1]]] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 174; ] %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.952381 0.014715 0.588604 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p P 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % 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