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For example, in the last International ", StyleBox["Mathematica", FontSlant->"Italic"], " Symposium, WolframTones was introduced, which is a kind of computer aided \ composition and adaptation. Moreover, by the recent rapid advance in computer \ science, everybody can compose and enjoy their sounds and tunes on their \ personal computers. Professional musicians have not been only the person who \ can create music anymore. New paradigm must be coming in Art (not only in \ computer arts). We present some packages and current results from this point \ of view." }], "Abstract"], Cell[CellGroupData[{ Cell["Introduction", "SectionFirst"], Cell[TextData[{ "The aim of our project is finding mathematical structures in Arts. We are \ not interested in computer aided composition and adaptation by some \ mathematical theories: cellular automata and Markov random field for example. \ Our purpose is another direction: \"Mathematics on Arts\", or we'd like to \ find some universal mathematical structures in Arts. At this time, we have \ not yet found any universal structure in Arts. However, we have developed and \ been developing Ysk and Ksk sound packages with a new concept: \"structure \ oriented sound object\" like object oriented programming. By those packages, \ we have been finding some universal structures in Arts.\n\nYsk package is \ mainly for re-factoring sound and tunes schemes to be compatible with \ mathematical knowledge. The most significant functionality of this package is \ that we can operate ( connect, combine, shift, making harmonic sounds and so \ on ) with sound objects by symbolic formulations like basic four operations \ for numbers. Implementing this package has been almost finished. Ksk package \ is mainly for re-capturing sound and tunes schemes as mathematical objects \ though it is still under construction.\n\nBy those package, we will study the \ following three things: 1) re-factoring sound and tunes schemes with \ mathematical knowledge, 2) re-capturing sound and tunes as mathematical \ objects, and 3) re-factoring sound and tunes as mathematical objects. \ Moreover, at the presentation, we discuss about some notes on ", StyleBox["Mathematica", FontSlant->"Italic"], "'s sound system for professional use." }], "Text"], Cell[TextData[{ "Moreover, gaining factoring sounds and producing sounds is two side of the \ same coin. Mathematics is the science of \"explanation\" (reducing everything \ to \"plain things\"). By using computer algebra system, we can reduce the \ technics of complicated sounds to simple steps. The development of Ysk and \ Ksk is an exciting study of mathematics and sounds (music). There are many \ systems for analyzing sounds (music). We will show the approach using \ computer algebra system \"", StyleBox["Mathematica", FontSlant->"Italic"], "\". The ultimate goal of technology and sounds is mathematics. Ysk and \ Ksk is a powerful tool for researching sounds. Music/Mathematics researchers \ should appreciate the possibility of sharing cognitive level with such \ technology. Music/Mathematics researchers will be able to use Ysk and Ksk as \ a 'partner' in the future." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Ysk Package for Re-factoring", "Section"], Cell["\<\ In this section, we show some results from our project in terms of \ Ysk package whose main purpose is for re-factoring sound and tunes schemes \ with mathematical knowledge. The keyword is \"Sound and Tunes can be \ operated by mathematical expressions\". Ysk package gives a sound create \ environment on which we can make sounds and tunes by comprehensive symbolic \ computations. By the package, we can follow most of functionalities of \ various kind of sound researching softwares in the world as symbolic \ computations.\ \>", "Text"], Cell["This loads the package.", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(<< Ysk`YskSound`\)], "Input", CellLabel->"In[1]:="], Cell[BoxData[ \(" implemented by Yusuke Kiriu (c) 2005."\)], "Print"] }, Open ]], Cell["\<\ We can play 220Hz sine wave with an appropriate envelope \ function.\ \>", "Text"], Cell[BoxData[ \(\(a1 = Play[Sin[220*2*Pi*t]*\((1 - Tanh[3*t])\), {t, 0, 1}, PlayRange \[Rule] {\(-1\), 1}];\)\)], "InputOnly", CellLabel->"In[2]:="], Cell["\<\ You could not hear any sounds if you read this on a printed \ material. If so, we encourage you to read with your imagination that all \ mathematical expressions are represented as sounds.\ \>", "Text"], Cell["\<\ Here, in Ysk package, we suppose that sounds are formed by a list \ of amplitude as in the conventional sound devices, though there are other \ definitions for sounds. Since a list of lists of amplitude must be the list \ of amplitude, this symbolic operator corresponding to join sound objects \ plays the sound which are formed by these three sound objects.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\[Square]{a1, a1, a1}\)], "Input", CellLabel->"In[3]:="], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0147151 0.588604 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % Start of sampled sound 1 string 44100 132300 16 { currentfile 1 index readhexstring pop } false 1 sampledsound 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