If the loops were open on both sides how would the length be calculated?

In this scenario, the length (L) of the medium would be calculated as an integer multiple of half-wavelengths.

The formula for the length would be:

$$L = n \frac{\lambda}{2}$$

where:

• $L$ is the length of the medium.
• $\lambda$ is the wavelength of the standing wave.
• $n$ is an integer representing the harmonic number (or mode number), where $n = 1, 2, 3, \dots$. For $n=1$, the length is $\frac{\lambda}{2}$ (fundamental frequency). For $n=2$, the length is $\lambda$ (first overtone), and so on.