I understand my mistake. The drawing of QE shows the middle deck longitudinally (note 152 mm=6" side belt), while the lower, main armor deck would figure 13" side belt and 4-6" forward belt. It isnt displayed at this drawing
I can confirm that the spread factor of the german 15" gun was higher than the spread factor of the german 12" gun (and probably equal to or slightly higher than the british 15"/42 gun as well). According to the powerload during shots in correspondence to the barrel lentgh anything else would wonder me.
The tested guns belong to the individual guns of the uncompleted BB Würzburg. Itīs naval 15"ers were used as land based heavy artillery from late 1916 on (Langer Max) to wars end. They fired a reduced weight projectile. The individual gun tested in 1919 had 700 rounds fired during ww1 (including one major overhaul in mid 191

. The test results of 1938 belong to armor penetration only (note that the armor used in these tests was KCnew and not any ww1 armor), I havenīt seen any muzzle velocity datas for them. With all respects, the actual muzzle velocity for a brand new 15" must therefore have been higher than 2.625 ft/sec. I suspect something closer to 2.750-2.800 ft./ sec. according to the powerload and barrel length. The approximate barrel live for standart naval projectiles was around 300 rounds. I donīt have figures for barrel live of reduced weight ammo only.
Hands down, the Queen Elizabths are more advanced thanks to oil firing but they arenīt either better protected or better armed than the Badenīs.
Lets check it with Nathan Okunīs facehead program. At first the distances at which the thickest belt can be penetrated:
Queen Elizabeths 13" lower main belt / turret face (against SK38 C13):
@ 0 degrees angle of fall: 1.484 ft./sec. striking velocity needed for EEF
@ 5 degrees angle of fall: 1.583 ft./sec. striking velocity needed for EEF
@ 10 degrees angle of fall: 1.602 ft./sec. striking velocity needed for EEF
@ 15 degrees angle of fall: 1.692 ft./sec. striking velocity needed for EEF
@ 20 degrees angle of fall: 1.810 ft./sec. striking velocity needed for EEF
@ 25 degrees angle of fall: 1.980 ft./sec. striking velocity needed for EEF
@ 30 degrees angle of fall: 2.236 ft./sec. striking velocity needed for EEF
And now 13.75" barbette, turret face, command tower face, main belt of Baden vs. british 15"/42 left=original ww1 AP-ammo; right= late 1918"Greenboy"):
@ 0 degrees: never (shatters); 1.458 ft./sec. w/o shatter for HBL=EEF
@ 5 degrees: 1.320 ft./sec. for EEF; 1.255 ft./sec. for EEF
@ 10 degrees: 1.496 ft./sec. for EEF; 1.421 ft./sec. for EEF
@ 15 degrees: 1.748 ft./sec. for EEF; 1.661 ft./sec. for EEF
@ 20 degrees: 2.124 ft./sec. (if soft AP-cap works, otherwise shatter); 2.019 ft./sec. for EEF
@ 25 degrees: never (shatters or deflected); 2.671 ft./sec. for EEF
@ 30 degrees: never (shatters or deflected); 3.812 ft./sec. for EEF
With these datas I feel justified to say that Baden is better protected against the "Q"īs 15"ers using ww1 or post ww1 Greenboys. I donīt have all the figures for range, angle of fall and corresponding striking velocity for the shells to extrapolate immune zones but it is obvious that the german gun has a wider window for penetration than the british against Baden. The british shells, despite beeing heavier, only have the advantage at an angle of fall up to 15-16 degrees (this implies around 11 degrees elevation and around 16.000 yrds range. At this distance the 15" shell will not penetrate 13.75" armor since it has only 1.480 ft./sec. remaining striking velocity), while any higher angle of fall= any higher range benefits the german gun/shell combination. Queen Elizabeths belt is vulnarable from 0-22.000 yrds to Badens 15"ers! Thatīs almost the whole range of the guns and includes all probable fighting distances. Using standart soft capped ammo, the british gun failes to penetrate Badens armor at point blanc range due to shatter gap and it fails to penetrate at any range over ~13.000 yrds. Even in the window in between, the standart instantious fuze delay will not allow the shell to penetrate behind the armor and detonate. Only duds will be able to penetrate Badens belt.
The later Greenboy shells are more advantageous and allow penetration due to proper fuze delay but even they penetrate Baden only at distances between 0 and ~14.000 yrds.
(Facehead v. 5.8 from Nathan Okun)