Determine the frequency of the note F4, 5 Seminotes above middle c (C4=261.6Hz)
So would it be
C4 = 261.6Hz x 1.05946^5
The fact they say semi notes is throwing me off, so I'm not sure if it's right.
To determine the frequency of the note F4, 5 semitones above middle C, you're on the right track but there's a slight correction needed.
The formula you've mentioned, C4 = 261.6Hz x 1.05946^5, is close but not quite accurate. The value 1.05946 represents the frequency ratio between adjacent semitones, also known as the "equal temperament." However, to find the frequency of a specific note, you need to raise the starting frequency (in this case, C4) to the power of the number of semitones difference.
So, to calculate the frequency of F4, which is 5 semitones above C4, you'll use the formula:
F4 = C4 x 1.05946^5
Here's a step-by-step breakdown of the calculation:
1. Start with the frequency of middle C (C4) as given: C4 = 261.6 Hz.
2. Raise this frequency by the equal temperament ratio of 1.05946, which represents one semitone up: C4 x 1.05946.
3. Repeat step 2 for each semitone difference. Since F4 is 5 semitones above C4, you multiply the frequency from step 2 by 1.05946 five times in total.
4. Calculate the final frequency: F4 = C4 x 1.05946^5.
By calculating this correctly, you'll obtain the frequency value for the note F4, 5 semitones above middle C.