音乐情感能量视觉化

Musical styles and genres ¹ differ around the world, but the emotional power of music is universally felt. To understand this evocative force, researchers in many fields, including information science, neural ² perception, and signal processing, investigate music's underlying ³ structure, examining features such as the tone, timbre ⁴, and auditory and rhythmic ⁵ features of a piece. Now a team of Japanese scientists from the University of Tokyo has developed a new approach to analyzing ⁶ musical structure. The new method overcomes many of the limits of previous tools. The researchers publish their results in the journal Chaos ⁷, from AIP Publishing. , ,"The new and important point of our method is that it analyzes ⁸ the local and global features in one framework without corrupting ⁹ the underlying regularities ¹⁰ of the original time series," said Miwa Fukino, a doctoral student at the University of Tokyo and first author on the paper. "For example, when one uses Fast Fourier Transform to get the frequency spectrum ¹¹ and then uses it to calculate the feature vectors of tonality, the timing ¹² information is lost in the resulting data. So, the result cannot be used for further analysis related to the timing factors," she said. , ,Fukino and her colleagues' new approach is based on a graphing technique called a recurrence ¹³ plot, a two-dimensional analytical ¹⁴ tool that visualizes ¹⁶ recurrences ¹⁷ of data. Recurrence is a basic property of complex systems, first described mathematically in the late 19th century by French mathematician ¹⁸ and scientist Henri Poincaré, in which systems return close to their initial state after a finite amount of time. The new twist the Japanese researchers added is to make a recurrence plot of recurrence plots. This provides layers of time series data to visualize ¹⁵ simultaneously ¹⁹ both local and global attributes of music. The researchers applied ²⁰ their new approach to selected classical piano pieces by Bach, Beethoven and Mozart. , ,Structural ²¹ knowledge of music is useful for many professional applications, from composition of performance pieces to video game design to music therapists seeking a healing response. The researchers are continuing their work to reveal a scientific understanding of its evocative power., ,The article, "Coarse-graining time series data: recurrence plot of recurrence plots and its application for music," is authored by Miwa Fukino, Yoshito Hirata and Kazuyuki Aihara. It will be published in the journal Chaos: An Interdisciplinary Journal of Nonlinear Science Feb. 23, 2016 (DOI: 10.1063/1.4941371 and can be accessed at: http://scitation.aip.org/content/aip/journal/chaos/26/2/10.1063/1.4941371.