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:“The future is built on brains, not prom court, as most people can tell you after attending their high school reunion. But you’d never know it by talking to kids or listening to the messages they get from the culture and even from their schools.” “In this our talking America, we are ruined by our good nature and listening on all sides. This compliance takes away the power of being greatly useful.” “Listening to learn isn’t about giving advice—at least not until asked—but about trying to understand exactly what someone means, how it is that someone looks at and feels about her particular situation.... Listening to learn from a daughter in adolescence, conspiring with her thoughts and feelings, keeps a mother in touch with a daughter’s growing and changing self.” |