[PD] audio to sine and frequency divider (live)

[Stu]

Hey List.

Consider me a noob, I'm using pure data (after a long time of not using it)
for a current project I'm working on.

This is what I try to do:

Situation: The sound coming from acoustic instruments is picked up by a mic
(no problem so far).

Then in pure data, the following things should happen:

1. Freuquency counter, displaying precicely the current frequency played by
the instrument.

2. Sine Wave generator, that plays and holds a sine of the same frequency
and duration of the source sound coming from the instrument.

3. Frequency divider, that divides down the frequency 10 times and plays a
sine 10 times deeper than the original sound coming from the instrument.

e.g., If a sound is being played on the mic input of 1000Hz, pure data
shows the frequency, and plays a 100Hz sine etc.

All should happen in real time without much delays.

Now my question is, is pure data capable of doing that or should I look for
something else? I'm going to use an older mac book air.

Thanks for any advice here!
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