Starting at middle C. with a frequency of 260 cps. find the frequency of a note thirteen half-steps above middle C. The frequency thirteen half-steps above 260 cps is
To find the frequency thirteen half-steps above middle C, we need to apply the formula:
frequency of a note = base frequency * 2^(n/12)
where n represents the number of half-steps away from the base frequency.
Since we want to find the frequency thirteen half-steps above 260 cps, we can substitute the values as follows:
frequency = 260 * 2^(13/12)
Now, let's calculate the frequency:
frequency = 260 * 2^(13/12)
≈ 260 * 1.797
Therefore, the frequency of a note thirteen half-steps above middle C is approximately 466.19 cps.
To find the frequency of a note thirteen half-steps above middle C, we can use the formula:
Frequency of note = Frequency of starting note × 2^(number of half-steps/12)
Given that the frequency of middle C is 260 cps, we can substitute these values into the formula:
Frequency of note = 260 cps × 2^(13/12)
Calculating this expression, we find:
Frequency of note = 260 cps × 1.802...
Thus, the frequency of a note thirteen half-steps above middle C is approximately 468.596 cps.
To find the frequency of a note thirteen half-steps above the given frequency of 260 cps, we need to understand the relationship between the frequency of musical notes and the concept of half-steps.
In Western music, the octave is divided into twelve equally spaced half-steps. Each half-step corresponds to a specific note. As we move up the scale, the frequency doubles with each octave.
To find the frequency of a note thirteen half-steps above middle C (C4), we can use the formula:
Frequency of Note = Frequency of Reference Note * (2^(n/12))
Where:
- Frequency of Note is the desired frequency.
- Frequency of Reference Note is the given frequency of middle C (260 cps).
- n is the number of half-steps above the reference note.
Let's calculate the frequency using the formula:
Frequency of Note = 260 * (2^(13/12))
Calculating this expression, we get:
Frequency of Note ≈ 464.16 cps
Therefore, the frequency of a note thirteen half-steps above middle C (C4) is approximately 464.16 cps.