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A CONSONANCE-MAXIMIZATION TUNING ALGORITHM IN EQUAL-TEMPERAMENT SYNTHESIZED TONES

机译:等温合成音调的和声最大化算法

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摘要

There are many different temperament tuning theories such as "Pythagorean tuning," "Just intonation," and "Equal temperament." Among them, the equal temperament is the most popular one for its key compatibility in spite of the general dissonance from its harmonic structure. And that dissonance is the reason that no other chords except octaves sound perfectly harmonically in equal temperament tuning. We propose a tuning system for sound synthesis using equal temperament that maximizes the consonance of the chords. By removing dissonance (such as in beating and roughness) and rearranging the harmonic structure, it is possible to achieve more consonant sound, which is only possible in computer based sound synthesis. To verify the performance of the proposed algorithm, listening tests were carried out with the most popular chords, i.e. perfect 5th, major 3rd and major 6th, on virtual instruments of piano, violin, flute, and synthesized electric piano sounds. They confirmed that the all the modified chords, especially major 3rd and major 6th , using the proposed algorithm sounded more harmonic than the original ones. We believe that the harmonicity and consonance can be improved in commercial applications such as ring tone synthesis.
机译:有许多不同的气质调律理论,例如“毕达哥拉斯调律”,“正调”和“均等气质”。其中,尽管其谐调结构普遍不和谐,但由于其关键的相容性,均等的气质是最受欢迎的一种。而这种不谐调的原因是,在八度音调相等的情况下,除了八度音之外,没有其他和弦能完美地和谐共鸣。我们提出了一种调音系统,用于使用均等的音质进行声音合成,以最大程度地提高和弦的谐音。通过消除不和谐(例如在拍打和粗糙度方面)并重新排列谐波结构,可以获得更多的辅音,这仅在基于计算机的声音合成中才是可能的。为了验证所提出算法的性能,在钢琴,小提琴,长笛和合成的电子钢琴声音的虚拟乐器上,用最流行的和弦进行了听力测试,即完美的5,大三和大六。他们证实,使用所提出的算法,所有修改的和弦,尤其是大三和六,听起来比原始和弦更加谐和。我们相信,在诸如铃声合成之类的商业应用中,谐波和谐音可以得到改善。

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