Understanding how frequency and pitch work in sound waves is really interesting! Let's break it down in a simple way.

Frequency and Pitch Explained

1. What is Frequency?
   Frequency is measured in hertz (Hz). It tells us how many wave cycles happen in one second. So, when you hear a sound, you are really hearing how fast those sound waves are moving up and down.

2. What About Pitch?
   Pitch is how we describe if a sound is high or low. It’s mostly about frequency. Here’s the connection:

   • A sound wave with a frequency of 440 Hz is heard as the musical note A4, which sounds high.
   • But a sound wave at 220 Hz is heard as a lower pitch (the note A3).

The Simple Formula

You can think of this connection like this:

• When frequency ($f$) goes up, pitch ($p$) goes up too!
  In simpler terms, the higher the frequency, the higher the pitch. We can show this as:
  $p \propto f$

A Personal Experience

From my own experience, matching pitches while playing an instrument shows this idea really well. For instance, when you're strumming a guitar and you change a string to make a higher frequency, the sound feels sharper or "higher."

It’s a cool way to see how our ears and brain understand the science of sound waves!