Listening
Because of its position in the harmonic series, the sixth harmonic (frequency ratio 6:1) being a perfect fifth and two octaves above the root, the septimal minor third implies a difference tone a perfect fifth below the lower note in the interval. Depending on the timbre of the pitches, humans sometimes perceive this root pitch even if it is not played. The phenomenon of hearing this root pitch is evident in the following sound file, which uses a pure sine wave. For comparison, the root pitch is played after the interval has been played.
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Septimal Minor Third (just intonation, 7:6 ratio), sine wave
You can download the clip or download a player to play the clip in your browser. The file plays A880, followed by 1026.67 Hz, followed by both tones together, followed by the implied root frequency of 586.67 Hz, a fifth below the A. Read more about this topic: Septimal Minor Third Famous quotes containing the word listening:“Opera once was an important social instrument—especially in Italy. With Rossini and Verdi people were listening to opera together and having the same catharsis with the same story, the same moral dilemmas. They were holding hands in the darkness. That has gone. Now perhaps they are holding hands watching television.” “Proportion ... You can’t help thinking about it in these London streets, where it doesn’t exist.... It’s like listening to a symphony of cats to walk along them. Senseless discords and a horrible disorder all the way.... A concert of Brobdingnagian cats. Order has been turned into a disgusting chaos. We need no barbarians from outside; they’re on the premises, all the time.” “Learning is a result of listening, which in turn leads to even better listening and attentiveness to the other person. In other words, to learn from the child, we must have empathy, and empathy grows as we learn.” |