2. In Western music, each octave consists of 12 half-steps, the interval between adjacent keys on the piano. On the keyboard below, the lowest key is C. a. Write an "X" just below Ca, identify the key that is one fifth above it, and write an "X" (below the key if white, above if black). Count the number of half-tones in this fifth From this key, count up the same number of half-tones (a fifth) from it and again mark it with an "X". Continue counting fifths until you are at the end of the keyboard. Then mark out fifths downward from Ca, until you reach the end. Write in the name of each note, including sharps and flats. II Due 11/19/2020 Print this page (2/2) B/C B/C C# / E/Y b. This figure is known as the chromatic circle. The 12 tones of the chromatic scale are arranged like the hours of the clock, starting with C at 12 o'clock. Draw a straight line for a fifth from C. i.e., from C to G. From G, draw a straight line to the tone that is one fifth above DEO G, and continue likewise until you return to C. You should touch all 12 tones. c. In the leftmost column of the table below, fill in the names of the notes (e.g. XN = Cs) that GHIA you found in part a, in the order they are found on the keyboard. Starting at Ca, find for each note Xn the ratio of frequencies, Xn/Ct, as a fraction, and enter in the second column. THIGH In the third column, enter the number of octaves Xy is above the corresponding note in octave 4 (X.); the number will be N-4, and it can be negative. We will fill the fourth column in class. Frequency relations - sequence of fifths Octave Note XN frequency ratio Xp/C octaves above #4 multiplier CA 1.0 0 1 2. In Western music, each octave consists of 12 half-steps, the interval between adjacent keys on the piano. On the keyboard below, the lowest key is C. a. Write an "X" just below Ca, identify the key that is one fifth above it, and write an "X" (below the key if white, above if black). Count the number of half-tones in this fifth From this key, count up the same number of half-tones (a fifth) from it and again mark it with an "X". Continue counting fifths until you are at the end of the keyboard. Then mark out fifths downward from Ca, until you reach the end. Write in the name of each note, including sharps and flats. II Due 11/19/2020 Print this page (2/2) B/C B/C C# / E/Y b. This figure is known as the chromatic circle. The 12 tones of the chromatic scale are arranged like the hours of the clock, starting with C at 12 o'clock. Draw a straight line for a fifth from C. i.e., from C to G. From G, draw a straight line to the tone that is one fifth above DEO G, and continue likewise until you return to C. You should touch all 12 tones. c. In the leftmost column of the table below, fill in the names of the notes (e.g. XN = Cs) that GHIA you found in part a, in the order they are found on the keyboard. Starting at Ca, find for each note Xn the ratio of frequencies, Xn/Ct, as a fraction, and enter in the second column. THIGH In the third column, enter the number of octaves Xy is above the corresponding note in octave 4 (X.); the number will be N-4, and it can be negative. We will fill the fourth column in class. Frequency relations - sequence of fifths Octave Note XN frequency ratio Xp/C octaves above #4 multiplier CA 1.0 0 1
