What is the frequency of B?

### Step 1: English Answer
As an expert in the field of music theory and acoustics, I can provide you with a detailed explanation of the frequency of musical notes, specifically the note B in the context of the equal-tempered scale. The equal-tempered scale is a system of tuning in which each semitone has the same interval ratio, typically a twelfth root of 2, which is approximately 1.05946. This system is widely used in Western music and allows for easy transposition and modulation between keys.
To find the frequency of the note B, we need to start with a reference point. In the standard tuning of Western music, the A4 note is set at 440 Hz. This is the A above middle C, and it serves as a standard pitch reference for tuning orchestras and other musical ensembles. Once we have this reference, we can calculate the frequency of other notes, including B, using the formula for the equal-tempered scale.

The formula to calculate the frequency of any note in the equal-tempered scale is as follows:
\[ f = f_0 \times 2^{\frac{n - n_0}{12}} \]

Where:
- \( f \) is the frequency of the note we want to find.
- \( f_0 \) is the frequency of the reference note (A4 = 440 Hz in this case).
- \( n \) is the MIDI note number of the note we're interested in.
- \( n_0 \) is the MIDI note number of the reference note (A4 = 69).

The MIDI note numbers are a standardized way of representing musical notes, where middle C is 60, C# is 61, and so on. The note B is the second note after A, so if we consider A as 69 (A4), then B would be 70 (B4).

Let's calculate the frequency of B:
\[ f_B = 440 \times 2^{\frac{70 - 69}{12}} \]
\[ f_B = 440 \times 2^{\frac{1}{12}} \]

To calculate \( 2^{\frac{1}{12}} \), we use the twelfth root of 2, which is approximately 1.05946. So:
\[ f_B = 440 \times 1.05946 \]
\[ f_B \approx 466.16 \text{ Hz} \]

This is the frequency of the B note in the equal-tempered scale, one semitone above A4.

Now, regarding the wavelength, it is the physical distance that a sound wave travels during one cycle. The relationship between frequency and wavelength is given by the speed of sound in the medium. In air at room temperature, the speed of sound is approximately 343 meters per second. The formula to calculate the wavelength (\( \lambda \)) is:
\[ \lambda = \frac{c}{f} \]

Where:
- \( c \) is the speed of sound in air (343 m/s).
- \( f \) is the frequency of the note.

Using the frequency we found for B (466.16 Hz):
\[ \lambda_B = \frac{343}{466.16} \]
\[ \lambda_B \approx 73.8 \text{ cm} \]

So, the wavelength of the B note in air is approximately 73.8 cm.

This calculation and the provided reference table are based on the equal-tempered scale and the standard tuning of A4 to 440 Hz. It's important to note that different tuning systems and historical contexts might use slightly different values for the frequencies of notes.

### Step 2: Divider

Frequencies for equal-tempered scale, A4 = 440 HzNoteFrequency (Hz)Wavelength (cm)A#0/Bb029.141184.13B030.871117.67C132.701054.94C#1/Db134.65995.73104 more rows