Electronic keyboards are designed using the following equation that assigns particular frequencies to each of the 88 keys in a standard piano keyboard:

\[
f(n)=440(\sqrt[12]{2})^{n-49} \mathrm{~Hz}
\]

where \(n\) is the key number. There is a need for an amplifier that can pass Tenor C, key 52, but block keys 5 and 53. Design such a filter using an \(R L C\)-tuned circuit with a gain \(K\) of 100.