Hymn of Ragnarok said:
*rubs eyes*
Yog, don't. No seriously, just fucking don't. Because even if you get an answer to this experiment, then it raises the question of how it works for the Hyuuga. How does someone like, say, Hinata, manage to see something coming from several kilometers away with degrees of accuracy if chakra moves so slowly that differences can be noted with one of the most basic ninja techniques. Or how chakra can function as a string to manipulate physical objects, so on and so forth.
Respectfully, this is
very wrong.
First of all, what does shunshin being "basic" (which it isn't) have to do with it? It is fast. Fast enough that fastest ninjas alive
may be able to see someone moving in it, but aren't anywhere fast enough to replicate the speed. So let's say that shunshin is about ten times faster than the fastest shinobi alive. I would actually argue that it is about a hundred times faster, but ten times will do as well.
Human ear can differentiate between 440 Hertz and 441 Hertz ( http://hyperphysics.phy-astr.gsu.edu/hbase/sound/earsens.html )
Now, we have a doppler effect ( http://en.wikipedia.org/wiki/Doppler_effect )
So f/f0=c/(c+v_s)
f0/f=1+v_s/c
c=v_s/(1-f0/f)
I would say that top level shinobi are comfortably super-sonic. Let's say 500 meters per second as their top speed. Shunshin would than be 5 kilometers per second. Or around that much.
f0/f=440/441
c=441*v_s = 2.205*10^6 meters per second =0.007 speed of light
This is the highest speed that can be
accurately measured using this method, which requires nothing but one fast shinobi capable of using shunshin (our father) and a sensor who can hear chakra (us).
Assuming slightly better sensitivity (3.6 hertz pitch resolution in 1 kHz to 2 kHz range http://en.wikipedia.org/wiki/Psychoacoustics#Limits_of_perception) we can go as high as 1% speed of light.
So no, being able to measure something doesn't mean it is slow.
I'll also note that the actual frequencies chakra waves have don't matter, only how much they change (relative to each other).
And if we can't measure the speed, then it is higher than 1%c, at which point we can say that they are instantaneous for all intents and purposes on the scale we are likely to operate.