It should be noted that with any reproduction chart that just because a particular cannon can fire a shell at great distances in theory, it does not translate that firing at a target at that range will result in a hit.
The record stands
with the HMS Warspite at about 27,000 yards approx. That is a EFFECTIVE confirmed hit on a Italian battleship.
I do not consider simply been able to engage a target as setting any record, as if no hit are recorded, there is no success therefore
any record been set is moot.
One measure of ballistic accuracy is the percentage measure on the probablity of skriking the target. This is also called 'shell dispersion rate".
If you have ever wondered why there are
multiple cannons this is the answer for it. If one cannon has a 12% ( for exampe only ) probabilty of striking at say 25,000 yards, excluding ALL other factors that could effect accuracy, 2 cannon=24%, 3=36%, 4=48%, 5=60%, (note that 50% or greater probabilty
is considered at as "in effective range"), and so on.
This doesn't mean at 5 cannon there is a 60% probabilty that all five shells will hit; It means that there is a 60% probabilty of ONE shell striking.
So at 8 cannons
you would have 96% probablity of one shell striking the target.
Variable factors ignored here are: barrel wear (life span of the rifled linner), barrel droop (more times repeatlly fired, the hotter the barrel, the greater the droop), sea conditions
(gun platform stabilty) and atmospheric conditions( air temperature, humidity and air pressure).
note. Air temperature has some effect in 'barrel droop'.
Other factors not ignored are more to do with design. Firing interferance due to the blast
effect of one cannon shifting the shell of another cannon as it passes through the blast zone at, and ahead of the muzzle.
Excessive muzzle velocity where the shell is 'overdriven' and starts to 'orbit' around the flight path initailly and evntually
the shell can become completely unstable and actually start to wobble or tumble causing it to "SWAP" into the target (ineffective strike) instead of striking 'nose first' (effective strike).
Both of theses groups of factors directly effect shell dispersion
So in all reality "Effective battle ranges" is a function of local weather conditions. The Pacific Oceans this allowed Aircaft carriers to Rule, while in Northern Atlantic Ocean Aircaft operations were far more problematical the further north
you got and the more dangerous it was to operate Aircraft Carriers when the opposition fleet was out.