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I believe dynamic cranking compression is the topic of discussion here, which is different than static compression ratio. Both are related, but cam timing (specifically intake valve closing ABDC) is a very important component. For example, a 9:1 ratio with an early IVC may give the same cranking compression as a 12:1 ratio with a later IVC. An easy test to do is to open up the valve lash, which shortens the valve event durations by closing the intake valve sooner----the cranking compression should go up. So what does cranking compression tell you? Two things mainly----1) it gives you an idea on the minimum octane to prevent knock, and 2) helps you find any dead or uneven compression cylinders. Compression ratio is a two-edged sword, meaning that a super high compression ratio is not a guarantee of big power if the rest of the engine isn't matched up with it. Take a look at NASCAR restrictor plate engines---these guys are nearly pulling full manifold vacuum at WOT, so they run very high comp ratios to make up for the poor cylinder filling. On a normal track, they run less ratio since the restriction is gone, and the cylinder filling is optimized. So if you have poor flowing heads, an early IVC, and a small carb on your tractor, your cylinder filling will not be optimal, so a higher comp ratio and higher octane fuel to give yourself some knock margin at low piston speeds is a good recipe. However, a set of good flowing heads/manifold/carb will deliver more HP/torque than any increase in compression. Enjoy.
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