Human hearing works on a logarithmic scale while usually the player volume bar is on a linear scale. In really simple terms, you have to use multiplication instead of addition. To put it in numerical terms with an example:
– Start with volume at 10% and move to 20%. The value has been multiplied by 2. To increase the perceived volume further by the same amount, you have to multiply again. So the next step is 40%, then 80%.
Working with your numbers, going from 100% to 50% doesn’t halve the perceived volume but it reduces it by some amount. If you want to reduce it again by the same amount, you have to go from 50% to 25%, then 12.5% and so on.
Since you are on a logarithmic scale and addition has been replaced by multiplication, it’s hard to provide a meaningful definition of “half as loud”. This is highly subjective and difficult to put in numbers.
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