Basically, yes, higher compression ratio needs higher octane.
BUT:
Compression ratio on its own isn't the whole story on detonation. The degree of turbulence in the combustion chamber is one other factor - which is why "squish" heads were invented once upon a time. So gas flow patterns, head design and combustion chamber shape all come into it as well...I once had a pretty cool techie book on intake and exhaust design...wonder what happened to that? I bet some fucker borrowed it and "forgot" to return it...
. “No pleasure is worth giving up for two more years in a rest home.” Kingsley Amis
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