Consonance of Complex Tones with Harmonics of Different Intensity

• 作者: Antonio Bernini Federico Talamucci
• 来源期刊: 声学期刊(英文)
• 学科: 医学
• 关键词: CONSONANCE Complex TONES Scale Critical BANDWIDTH INTENSITY of HARMONICS LOUDNESS
• 年，卷（期）: 2014,（2）
• 页码范围: 78-89
• 页数: 12页
• 分类号: R73

摘要

The starting point of this study is the theory of tonal consonance by Plomp and Levelt. The major reference point is the theory of Critical Band and its use for evaluating consonance of simple tones. On the basis of such empirical criterion, our aim consists in providing a method of estimating the value of consonance of complex tones, by taking account not only of the number of harmonics, but also of the intensity of the partials which contribute to forming the tone. By introducing a specific algorithm, the level of consonance of a chord of complex tones is expressed in terms both of frequency differences and sound intensity of the partials. The results give rise to a series of considerations and applications, ranging from displaying the order of consonance of all intervals within the octave up to evaluating the hierarchy of chords in the frame of a musical scale.