This set compression ratio is based on the combustion chamber SIZE. The piston can change this size.
CC's of the engine is based on the cylinder size with the piston at bottom dead center - this does not include the combustion chamber.
CC's of the cylinder head is based on the combustion chamber designed into the cylinder head.
Compression ratio is based on shoving the engines cc's into the combustion chamber cc's... not taking into account anything else.
My engine information below is based on advertised specs available on the WWW
Our beloved 79 GS850 has a compression ratio of 8.8:1. Take that piston and install it in a 79 GS750 and its stll going to be a compression ration of 8.8:1. Yet you have to bore the cylinder out to do this. This is because of the piston and combustion chamber size. Side bar - this WILL increase the advertised compression ratio of the GS750 because it ran a compression ratio of 8.7:1... Now, if there is a difference in the CC's of the combustion chamber between the 2 cylinder heads, this will alter the compression ratio - up or down. So, if the combustion chamber on the 750 head is larger, your compression ratio will go down based on CC's of the combustion chamber. Might bring it back down to 8.7:1.
A small block Chevy from the smog years (mid 70's throughout the 80's) ran a compression ratio of about 8.9:1 with a dish piston (crappy fuels, horrible government.) You can bore that cylinder out .030" with the same style of dish piston and you run the same compression ratio. You can still buy pistons just for this... However, you take the stock dish piston and turn it into a flat top (common hipo trick) and you change the compression ratio to about 9.5:1. You install a pop-up piston (similar to the GS750) and you can bump the compression ratio up to 10.0:1 while never changing the bore size.
You could take the same 8.9:1 compression ratio small block, remove the 76cc cylinder heads, install a set of 64 cc heads and you will drastically change the compression ratio without ever touching the bore size. You can shave the head of the GS750 and start bumping up the compression ratio for every .01" shaved off. Remember to check piston to valve clearance.
Also, don't forget, when you raise the compression ratio, you better start looking at the octane rating of your fuel and the ignition timing you're running.
The above information is not taking into account any differences in crank throw, connecting rod length, piston pin location, head gasket thickness or fire ring diameter.
This is a completely different math problem and all of these can alter the engine displacement.
I hope I've shared enough information to clarify my original statement of - "Just over boring the engine will not increase compression." I should have added ratio in there so this is my bad. Over boring an engine will increase compression values (PSI) and not ratio unless other changes have been made as noted above.
Tidbit - a top fuel engine smashes the pistons shorter. This is because the timing at 50 degrees advanced ,the piston still going up and the over-driven blower... all while running a compression ratio of 6.5:1. A small block Chevy with a 6-71 blower should not be running a compression ration higher than 9:1 - from my experience.
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