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Decibel scale is logarithmic so 600db is 316,227,766,016,556 times louder than 310db

It’s so silly. Why would you make a scale logarithmic. Incredibly unintuitive and pointless. All reference scales should be linear.

I think it's because human perception of sound isn't linear, so it purports to more closely match human perception rather than actual amplitude

I don't think you understand the utility and applications of log scales.