I don’t agree with this much…
I think one can perfectly discover FM with a DNII without using maths. And the learning curve is not that bad.
Look for the “Tao of FM synthesis”, it opened my eyes and ears about this incredibly powerful form of synthesis.
Once you understand that
- a sine modulating a sine adds harmonics,
- if both have the same frequency, you go towards a saw
- if one is an octave above the other, you go towards a square wave
- feedback is a sine modulating itself
…you have the basics to start exploring.
Use envelopes for the modulation to change during time…
Start simple, with one or two operators, see where it leads you.
Try to not use filters at first, and fake filter envelopes with modulations.
The more you experiment, the more you understand how sounds are made.
Go forensics on the presets you enjoy.
Exploring the mysteries of FM synthesis is a remarkable and enjoyable trip, so much crazy sounds to discover!
You’re not a paper plane pilot, you’re an explorer facing a maya temple full of treasures!
By the way, some people have drawn maps towards treasures…