FIRST,
Yes, the 55-56 and 57 AXLE HOUSINGS (NOT center section) have some differences.
But, the 55-64 removable CENTER SECTIONS are 100% interchangeable. They are also the same as 56-62 Corvette.
ANY, repeat, ANY 55-56 center is a pure bolt-in swap into ANY 55-64 AXLE HOUSING.
This is an AXLE HOUSING.
View attachment 462181
This is a removable center section.
View attachment 462182
Also, there are some differences between 55-6 and 57-64 center sections-------------BUT------- they are still physically a pure bolt-in sway into ANY 55-64 axle housing.
SECOND
The 4-series gears and 3-series gears will only mate with a 3- or 4-series internal differential case (NOT the outer case).,,,,,,
reply as tri five iw not working right
Here is a comparison of a posi(left) and non-posi center section.
The part which the ring gear is bolted to is the differential.
View attachment 462183
View attachment 462184
LAST
To answer your question.
To go from a 4.11 ratio to any 3-series ratio, it will be necessary to also change the 4-series differential to a 3-series differential.
MY PERSONAL ADVICE, IF THE STOCK AXLE HOUSING IS TO BE RETAINED, DO NOT GO WITH A 55-6 CENTER SECTION. The internal guts are lighter, thinner and weaker than the 57-64 center sections. IF, IF, IF you have a 55-6 center section, and you wish to retain it because it is original to the car, that's OK, BUT, just build it with 57-64 guts.
Here is a comparison between a 55-6(left) and a 57-64 outer case. The 55-6 case has had a posi unit installed in it.
As can be seen the 57-64 case is more robust than a 55-6 case.
View attachment 462185
View attachment 462186
Probably your best way to go would be to locate a very good used center section, OR, one which has been professionally rebuilt. For these early rears, the 3-series ratios that were available are 3.70, 3.55, 3.36, 3.08. For hiway driving, the 3.36 (first available in 57) and 3.08 (first available in 59 behind a 348) are the better choices.