During the Middle Ages the dominant musical interval where the consonant Octave, Fifth and Fourth. During the Renaissance what two other intervals became especially important?
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Step 1: Identify the dominant musical intervals of the Middle Ages, which were the consonant Octave, Fifth, and Fourth. Show more…
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(10 pts) Two musical notes that have a frequency ratio of 2:1 are said to be separated by an octave and two notes that have a frequency ratio of 5:4 are said to be separated by an interval of a third. a. A sound separated by octave from middle C (256 Hz) has frequency: 128 Hz, 254 Hz, 258 Hz, 320 Hz or none of these. Which one is correct? b. A sound separated by an interval of a third from middle C (256 Hz) has frequency: 128 Hz, 254 Hz, 258 Hz, 320 Hz or none of these. Which one is correct?
Sri K.
a) When Equal Temperament Tuning is used, what ratio is associated with a minor seventh (10 half-steps)? Round your answer to the nearest 0.000001 . b) When Equal Temperament Tuning is used, what ratio is associated with a minor third (3 half-steps)? Round your answer to the nearest 0.000001 .
Supreeta N.
SP4. For standard tuning, concert A is defined to have a frequency of 440 Hz. On a piano, A is five white keys above C, but 9 half steps above C counting both the white and black keys. (See fig. 15.22.) A full octave consists of 12 half steps (semitones). In equally tempered tuning, each half step has the ratio of 1.0595 above the preceding step. (This ratio is the 12th root of 2.0.) a. What is the frequency of A-flat, one half step below A for equal temperament? b. Working down, find the frequency of each succeeding half step until you get down to C. (Carry your computations to four figures, to avoid rounding errors. For each half step, divide by 1.0595.) c. In just tuning, middle C has a frequency of 264 Hz. How does your result in part b compare to this value? d. Working up, find the frequency of C above concert A in equal temperament. Is this frequency twice that obtained in part b for middle C?
Suman K.
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