@Muology Replying to your chat.....

Dynamic patching.....
This shows the basics......... 0.all_msg.pd

All objects, messages, arrays GUI's....... and patches...... can be "put"... and connected or disconnected.
Here.... https://puredata.info/docs/developer/PdFileFormat you will find more about the arguments they will accept.

But the easiest way to use dynamic patching is to make your own abstractions...... patches that you will use as "modules".... that you then dynamically place and connect within another patch window.....
Here is a fairly complicated example....... https://forum.pdpatchrepo.info/topic/12808/minx that builds a mixer with a variable number of in and out channels, and then uses connect and disconnect messages to change the input and output patching to the soundcard from controls in the "Channels" and "Busses" windows.
The creation of the patch is controlled in minx_run.pd
David

@Muology No idea how efficient it is...... but it "works"...... factorial.pd
But there is still a limit...... 198 is it...... in 32-bit extended
If an external exists that will be more efficient.
And [expr] is probably more efficient than my patch, but its limit is 33..... in extended.
Vanilla 0.53 will not show a result for either with input > 34...... a big for extended.and for vanilla.
Most maths functions are built into [expr]........ and fact() is among them........
To see them all open Pd/doc/8.topics/expr.html in your Pd folder....
David.

@henrique99sl I understand your concern.... but everyone in your class will currently be googling like a crazy person.
If @seb-harmonik.ar were to post a patch they would find that too and all your homework would be identical.

I suggest...... because it's not easy to get started..... that you download Automatism...... https://www.automatonism.com/the-software

READ the instructions carefully...... a new copy of the automatism folder for each project or you will get in a mess..... copy the folder to a new one.... just for your project.... and keep the original clean and so ready to copy when you start a new project.

I don't use it...... but I believe that it will contain all the modules..... patches...... that you could use to construct your synth...... 8-stepts..... adsr....... bob-filter...... etc.
You could use any of the modules (in patch_editor_abs) in the patch that you have already made if you wish.
It seems to be Vanilla..... no externals....
David.

@KMETE Try delaying the loading of the files in the patch....... [loadbang] [delay 5000 or some suitable value ]
David.

@KMETE Yes you will need to change the sample rate or they will play at the wrong speed.
There used to be...... and must? still be a website for soundcard compatibility with the RPI.
If the RPI can connect to the soundcard then the pins (connections) will appear in the Pd media settings.
There are a few very active Raspberry forums on the web...... a good place to search......
David.

@Kate-O Welcome to the forum.....

It works for me.......... but the value to be updated (repeated when it matches) needs to be banged into the right inlet of [==]

If you want only values greater than the last output use [>= ]...... greater than or equal......instead of [==]....... as with [==] the spigot is only open when the input equals the last output.
David.

@myQwil I stopped receiving BBC radio stations on my internet radio earlier this year,
The BBC had decided to drop MP3 Shoutcast and only stream DASH and HLS.
I spent this evening searching forums for stream comversion backends for the RPI, and then remembered your external.
I don't live in the UK so I had to modify the BBC Radio4 URL slightly, and I now have a zero latency livestream of HLS in Pd on my laptop.
Next stage is to stream the output from Pd to the internet radio.
Then to stop playback as the client disconnects.
Then to run the patch permanently on my RPI.
It really is a very useful external.
Thank you,
David.

@zigmhount If a devicename is reported in the Pd midisettings dialog (I would expect that to be the case) then you can choose the midi ports to use for each Pd instance within a patch instead....... https://forum.pdpatchrepo.info/topic/13217/save-and-recall-midi-settings-in-a-project
This one seems a little easier to use........ set_midi-order.pd
If there are spaces in the names you can convert the whole name to a symbol that contains spaces with this.... concat.zip
David.

@noahdeetzers gop_switch.zip
Changes the properties of the graph on parent (GOP) window of a sub-patch or an abstraction.
This lets you "see" different parts of that patch in the parent patch, by moving the window.
Connecting wires are not shown in the GOP window, so the GUI is "clean".
In Pd extended only the "donecanvasdialog" method lets you change the values of GUI's (showing through the window) from the parent patch.
In recent Pd Vanilla the "coords" method lets you change the GUIs through the window, and works better than the "donecanvasdialog" method, which sometimes moves the GUIs in the window and creates a very messy view. That could be OS dependant..... I am unsure...
David.

@Blindekinder I like to have arrow heads on connections in edit mode..... cordarrows-plugin.tcl
tcl plugins must be loaded as Pd starts...... so just put them in one of Pd's standard paths, or a path set in "Preferences" "Paths"
David.