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:“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.” “The tension to mother the “right” way can leave a peculiar silence within mother daughter relationships—the silence of a mother’s own truth and experience. Within this silence, a daughter’s authentic voice can also fall silent. This is the silence of perfection. This silence of perfection prevents mothers from listening and learning from their daughters.” “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.” |