Polygonal Waveforms: REDUX! Let's explore the world of polygonal wavetables, correctly this time.

Описание: We're synthesizing waveforms and wavetables with math... And we're correcting a few errors. Come along with me as we explore the supernaturally bell-like sounds of waveforms made with the polygonal number series. And... I know it seems unlikely... but I discovered that I had made an error in my original calculations of the polygonal waveforms. But it turns out it doesn't matter because what I came up with was bad-ass, anyway. Along the way, I drop a few synthesizer programming tips, roll my eyes, and make some bell-icous synthesizer tones. Grab your n-gon, and let's get polygonal with it in this "rock-the-bells" episode!

Don't forget to LIKE and SUBSCRIBE for moar talky synthesizer content!

LINKS!

KRC Mathwaves wavetables full collection (just $29): https://www.wavetables.lol/l/wavetables

KRC Mathwaves free wavetables sampler (just FREE): https://www.wavetables.lol/l/free?lay...

The spiritual "part 1" to this video, "What Can We Learn from the Basic Synthesis Waveforms?":
   • What Can We Learn from the Basic Synthesis...  

For more wavetable madness, see my KRC Mathwaves playlist here:
   • Wavetables: KRC Mathwaves  

Polygonal Numbers:
https://en.wikipedia.org/wiki/Polygon...

Fibonacci Sequence:
https://en.wikipedia.org/wiki/Fibonac...

Tetrahedral Numbers:
https://en.wikipedia.org/wiki/Tetrahe...

Octodecagon (18-sided polygon):
https://en.wikipedia.org/wiki/Octadec...

Sound on Sound Article about pulse-width modulation:
"Synthesizing Strings: PWM & String Sounds," by Gordon Reid
https://www.soundonsound.com/techniqu...

CHAPTERS
00:00 Intro - KRC Mathwaves
01:41 The Origin of KRC Mathwaves
03:23 Revisiting Polygonal Waveforms
05:03 Discovering an Error in the Original "Polygonal" Wavetables
08:30 New Collection of Wavetables
13:58 Harmonic Falloff Techniques
16:06 Creating Bell-like Patches
19:34 KRC Poly Redux Overview
22:14 Phase Relationships and Waveform Cancellation
24:49 The "PWM Trick"
27:44 Variations in Polygonal Waveforms
30:53 Exploring Higher Order Polygonal Waveforms
33:25 Harmonic Rolloff and Its Effects
37:20 Morphing Between Wavetables in modwave
40:54 Exploring Square Wave Variations
44:03 Exploring Waveforms and Modulation
45:58 The Sound of Fibonacci Waveforms
47:29 Manipulating Waveform Phases and Amplitudes
47:56 Outro - Get Mathwaves at www.wavetables.lol, Like and Subscribe!