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:“When you are listening to music it is better to cover your eyes than your ears.” “Sentences and paragraphs. Sentences are not emotional but paragraphs are. I can say that as often as I like and it always remains as it is, something that is. I said I found this out first in listening to Basket my dog drinking. And anybody listening to any dog’s drinking will see what I mean.” “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.” |