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Martial arts buffs: scale the die size with skill
YANI #1512 (modified). Don't use a base d4 for martial arts attacks. Increase the die size by 2 for every level beyond Basic: d6 for Skilled, d8 for Expert, d10 for Master, d12 for Grand Master.
Unlike in YANI #1512, leave the flat skill bonus damage intact, and don't touch the die size for bare hands skill.
This needs to be revisited in light of vanilla's recent change giving martial arts extra attacks (which I intend to incorporate), which has boosted the overall expected damage: https://nethackwiki.com/wiki/Martial_arts#To-hit_and_damage