臺灣國際科展

聽聽貝多芬作品的下一代:將碎形及基因演算法應用於數位音樂產生器

科展類別
臺灣國際科展
屆次
2007年
科別
電腦科學
學校名稱
國立臺中第一高級中學
指導老師
梁銘誠
作者
林自均
關鍵字
碎形、基因交配、數位音樂,fractal、genetic crossover concepts、Digital music
備註
英特爾電腦科學獎:第一名;美國正選代表:美國第58 屆國際科技展覽會

摘要或動機

本研究整合了碎形圖形的迭代運算方法與基因交配觀念來達到音樂創新,並透過音樂和諧性判別機制來提高創新音樂的悅耳程度。利用基因觀念之交配的方法來解決長短的問題。這個方法是把原始音符輸入後,找出它們的中心點,以這個中心點為準,其他的音符按照一定比例向外延展,成為新的迭代點。再利用這些迭代點,迭代出新的音符。把製造好的音符染色體放置到交配池中,以隨機的方式在交配池中選取其中之一個染色體進行交配的動作,此二音符染色體會交換彼此的基因,產生下一代新的代表音符長短之染色體,隨後以「模仿母體判斷式」來判斷這新一代的音樂是否與母體音樂相似,藉此淘汰掉「不肖的」下一代,而若新一代與母體的相似程度高的話,它的悅耳性相信也會相對提高。最後把這些技術應用於數位音樂創作,以衍生新穎應用與創新的結果。Fractals can be produced by IFS (Iterated Function Systems). By iterative computation of many times, we can obtain the similar graphics. In my research, the methods to generate the iterative algorithms were presented. In addition, I would discuss the regularity and the content as well as the properties of those digital patterns. At last, the advanced application of fractals to digital music pieces was presented. The program took a note of several measure of music as the beginning point, and made the IFS calculations for each new note in each measure. But there was no difference in beats if you just make the IFS iteration. So I changed the beats with genetic crossover method. In this research, the expression of the DNA to each beat of note was adopted. The same way, it took a note as a beginning point. And the system obtained the new DNA from the old notes for new ones randomly. After producing the new pieces of music, I want to know if it is good to listen. So I used the algorithm that checks the simulation to the shape of mother music. If its shape is similar to the mother music, the probability that the new music is pleasing may even increase. That would make a piece of brand new music. What I want to do in this research is improve the multiformity of music and find what the relationship is of ‘good music’ and mathematical algorithms


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