Demystifying spectral analysis through additive synthesis - Ep. 06

Описание: What does it mean to perform a spectral analysis/Fourier analysis? In a frequency spectrum, what are the fundamental frequency and harmonics, and how are they perceived by our ears? If you're unfamiliar with any of the concepts used in this video, watch my previous videos (link below). Starting with the first video, I explain concepts so basic that anyone could understand it :)

Complete series starting with basic concepts:    • Sound waves explained! (for beginners) - E...  

More about spectrograms:    • How to use spectrograms in Audacity  

Versión en Español de este video:    • Descifrando el análisis espectral mediante...  

Music: Ricardo de Santiago – Beautiful Chaos

0:00 Intro
1:09 Trigonometric function sine
2:02 Relation between a rotation and the sine function
2:42 Wave summation
3:53 Additive synthesis and Fourier series
4:17 Additive synthesis of a square wave
6:05 Additive synthesis of a melodica
7:32 Spectral analysis (Fourier analysis)
8:41 Frequency spectrum and frequency components
9:49 Frequency components and loudness
10:34 Fast Fourier Transform
11:30 Fundamental frequency and harmonics
12:32 Inharmonic and noisy spectra
13:05 Relationship between Spectrum, Waveform, and Timbre
14:07 Sum of components in phase vs. out of phase
14:42 Loudspeaker frequency range
15:24 Behavior of real sound sources
16:31 Clipping explained with spectral analysis
17:00 Spectral analysis in Audacity
17:37 How to select audio for spectral analysis
19:40 Analyzing varying signals
20:43 Spectrogram and multi-view in Audacity
21:05 Additive synthesis on a synthesizer
22:17 Outro

Image and animation references:

Car suspension: https://www.vectorstock.com/royalty-f...
Earthquake diagram: https://www.freepik.com/free-vector/s...
Light Refraction: https://www.theguardian.com/music/mus...
Radio Tower: https://www.freepik.com/free-vector/r...
RC Circuit: https://www.allaboutcircuits.com/text...
Hydrogen density probability:   / this_so_the_probability_distribution_diagr...  
Interactive unit circle: https://www.geogebra.org/m/nv9vex3X
Circle, spiral, and sine animation: https://www.geogebra.org/3d/m4z9ejpt
Fourier series square wave image: https://mathworld.wolfram.com/Fourier...
Fourier series sawtooth wave image: https://mathworld.wolfram.com/Fourier...
Fourier series triangle wave image: https://mathworld.wolfram.com/Fourier...
Piano: https://www.freepik.com/free-photo/mu...
Guitar: https://www.freepik.com/free-photo/ac...
Violin: https://www.freepik.com/free-photo/vi...
Bass reflex speaker: SVS PB-2000
Bass reflex speaker diagram: https://en.wikipedia.org/wiki/Bass_re...
FFT butterfly algorithm: https://en.wikipedia.org/wiki/Fast_Fo...
Bell: https://pixabay.com/photos/bell-churc...
Cymbal: https://unsplash.com/photos/a-close-u...
Electromagnetic spectrum: https://commons.wikimedia.org/wiki/Fi...