Reason Algorithm re how many possible algorithms

[jlgrimes]

Anyone calculate the number of possible algorithms?

Since its free form I'm sure its an insanely high number. Just seeing if anyone calculated it.

Great sounding synth BTW. Helps make fm much more approachable with a slicker GUI.

[turn2on]

Some 4OP synths have from 6 algorithms..
Our 4-OP WTFM synth = 24 algorithms.
PX7 6-OP synth = 32 algorithms. Like a DX7.
8-OP Yamaha FS1R hardware synth as example - have 88 algorithms
Algoritm - have 9-OPs. Need to calculate))

[Loque]

I am a sucker in math...is it "9!"? Than there are 362880 possible combinations, means algorithms.

[Baylo]

Pretty sure it’s not 9! Loque. This calculation gets a lot more complicated for a number of reasons, including all the variations of feedback loops - it’s not just discrete arrangements of blocks...

[Loque]

Pretty sure it’s not 9! Loque. This calculation gets a lot more complicated for a number of reasons, including all the variations of feedback loops - it’s not just discrete arrangements of blocks...

Well, yea, might be different. At least you can route everything everywhere and i think you can even route it to itself. And than you can also combine it with different modulators or sources. I think there are quite a lot of options in the end

[BRIGGS]

You trying to blow up my brainz?

[joeyluck]

Yeah I think it's somewhere in the millions?

[mjxl]

i guess its 9op's, each able to get 8 inputs and do 9 outputs (the 8ops + output) times 4 different modules (fm/filter etc)

Would be something like (9 * (8 * 9 * 4) * feedbackloops), so i'm assuming it's INSANELY high

[selig]

The next question for me is how many unique algorithms, then how many unique useful algorithms! But for sure it’s way more than any other FM synth I’m aware of, and for me it totally invites exploration and experimentation. I’m excited about FM again, for the first time since 1985!

[Bes]

does being able to change the signal with a shaper or filter at any point in the algorithm change the calculation of how many variances are possible or are algo's only the shape of the connections

[mjxl]

does being able to change the signal with a shaper or filter at any point in the algorithm change the calculation of how many variances are possible or are algo's only the shape of the connections

the shaper /filter count the same as an FM OP or WT Osc, they still have 8 in/9 out !

/edit: each slot needs to have a -2 reduction tho yeah! there can't ever be 9 slots of filters/shapers!

[Enlightenspeed]

Surely it is the factorial of 72? Which is a ridiculous number to try and express. The Google calculator gives it as approx 6.123446 * 10 ^ 103.

[challism]

Approx 6.123446 * 10 ^ 103.

Approximately! ha ha

[Enlightenspeed]

Approx 6.123446 * 10 ^ 103.

Approximately! ha ha

The really funny bit is that the number after the trailing 6 can be expressed as n * 10 ^ 96! It's still a solid integer despite the numerical format.

For context, there are estimated to be somewhere around 10 ^ 80 atoms in the observable universe!

Y'see folks, maths CAN be fun

[mjxl]

Y'see folks, maths CAN be fun

Oh yes, I love maths, love all the crazy algorithms (lulul) that mathematicians come up with hehe

For example the Mandelbrot set, which was used to calculate roughly the entire outline of UK coastline (if i'm not mistaken lol)

When I was a kid, I went to bed every day and my brain would fire thousands of calculations to my consciousness instead of going into sleep mode lol.

[jlgrimes]

The next question for me is how many unique algorithms, then how many unique useful algorithms! But for sure it’s way more than any other FM synth I’m aware of, and for me it totally invites exploration and experimentation. I’m excited about FM again, for the first time since 1985!

Yeah. Its pretty tricky as well as algorithm goes beyond traditional FM as it has Subtractive and Wavetable applications as well.

It is a big improvement over PX7. They took FM8's flexibility, built off of it, still keeping the GUI simple.

[selig]

Yeah. Its pretty tricky as well as algorithm goes beyond traditional FM as it has Subtractive and Wavetable applications as well.

I didn't even consider that - you have all the possible algorithms as mentioned, which is just the routing. But then you have all the different module combinations which take it to another level (even if you limit it to "unique" or "useful" algorithms).

Even if you stick to just ONE algorithm, the four different types of modules across 9 slots gives you a HUGE amount of variations.

[Despondo]

Time to get these guys involved?

https://www.vice.com/en/article/wxepzw/ ... lic-domain

[mcatalao]

If you consider you can connect an OP to itself for feedback, make loops (Op1->op2->op1), and connect op's to multiple places, I'd say is pretty infinite, even before you consider different op types as sources!

algorithm.JPG (23.7 KiB) Viewed 1510 times

(RS tease on the manual!)

Selig is right! FM might have never been so exciting!