优美音乐 来自和谐的数学组合(有声)

（单词翻译）

Students who listened to different chords rated as more pleasing the ones that westerners think of as harmonious¹, the individual notes of which have definite mathematical relationships

英文文本】

Why do some chords sound sweet but others make you wince²? Well it appears our ears—or at least the ears of 250 Minnesota undergrads—prefer chords containing harmonically related frequencies, according to a study in the journal Current Biology.

Even a simple note on my guitar has an array of harmonic frequencies. But the frequencies have a special harmonic relationship, which is why you hear it as a single sound with a single pitch.

The chords the students liked best have frequencies with that harmonic relationship too—all the frequencies are integer multiples of a common fundamental frequency. And the researchers say our brains might like these chords because their frequencies resemble those of a single harmonic note.

The students were less fond of Inharmonic chords like [dissonant chord]. But the researchers say it's not that rough, wobbly quality, called beating, that turns us off. It’s mostly because the chords aren't harmonic.

These preferences aren't completely innate³ though. Musically trained students found harmonic frequencies more pleasing—they’re huge in Western music. But an ensemble of gamelan masters, who play inharmonic instruments like gongs, might beg to differ