Fourier Transforms: The Final

Hello again. In this short post, I will be finishing the introduction of fourier series and will question its application to guitar(perhaps that can be another post)

In the previous post, we discovered how Euler’s formula can be used for winding frequencies and estimation.

See the formula resembles the Euler’s formula? This time, we also have 2pi and a frequency and time variables. The integral bounds set the interval where the transformation will be conducted upon. Explaining this formula is far beyond my mathematical knowledge and expertise, hence this post was really short and not very explanatory- I am sorry for that. For more information, I would suggest you to visit 3Blue1Brown’s video.

Now, let’s talk about what I want to do with Fouier transformations. I have been learning how to play the guitar for almost 3 years by now and I consider myself to be an average guitarist- not the best nor the worst, but can definitely be better. I aim to combine the two to provide a fun and interactive introduction to Fourier Transforms. I will code(or just get from Github) a FFT converter in numpy and experiment songs of different amplitudes/frequencies. I plan to record the songs and the real-time fft graphs so I can provide you guys with first hand data. I plan to do this in June, after the AP exams which are crushing me rn.

Thanks as always for reading my post and see you on the others!

Cagan out