ALGEBRA 2 - Exam 10-continued The pitch of a musical note is determined by its f

Question

ALGEBRA 2 - Exam 10-continued The pitch of a musical note is determined by its frequency in Hertz. The trigonometric function pt) - a sin(2) approximates the sound of a note with volume a, frequency f, and a duration of r seconds. For the purposes of the following problems, we will assume all pitches are played at a volume where a = 1. s maintain certain ratios to the first note of the Within a major scale, the frequencies of the note ird note have a frequency ratio of 4:5, the first to fifth a ratio of 2:3, scale. The first note to the th the first to seventh a ratio of 8:15, and the first to the octave (eighth) a ratio of 1 Below, you will see the graph of the standard pitch, A at 440Hz in black, alongside another pitc in grey as well as t he eight notes of an octave of the A major scale with their pitch names. ce D E F# G# 32. Give the equation, p(), for the function in grey and identify which pitch it is. The note isand can be modeled by p() Find the equation, p(), for C# and add its graph to the graph of A440 below. 33. C# can be modeled by p(t)s FILL IN YOUR NAME AND THE OTHER REQUIRED INFORMATION ON EACH PAGE OF THE EXAM AND MAIL THE EXAM TO THE SCHOOL 80

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