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A Straightforward & Scaleable Method for Hit Point Recovery

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I've analysed and critiqued the concept of Hit Points in the past . The gist of the critique is that whilst hit points conceptually are mostly "hero points", mechanically they are treated entirely as "wound points". And that grates. The 10th level fighter with 60 Hit points who loses 80% of his hit points will need seven weeks to recover those 48 hp lost,  assuming a basic 1 hp/day of recovery . Meanwhile, the 1st level fighter with 5 hit points who loses 80% of his hit points (and was near death with just 1 hp left) will need just four days to make a full recovery. Besides the incongruence of this, it also has the mechanical downside of necessitating magical healing at higher levels for the game to be at all functional. Art for the entry is from the old Swedish "Drakar och Demoner" supplement Torshem. I've seen various elegant and less elegant attempt to remedy this, from healing HP equal to level per day (as 3e faultily suggested) to each added d