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.
Septimal Minor Third (just intonation, 7:6 ratio), sine wave
Sorry, your browser either has JavaScript disabled or does not have any supported player. 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 situation of our youth is not mysterious. Children have never been very good at listening to their elders, but they have never failed to imitate them. They must, they have no other models.” “Lift every voice and sing till earth and heaven ring, “While yet a boy I sought for ghosts, and sped |