Involved in the biosynthesis of menthol and related monoterpenes in leaves. Can use (-)-trans-carveol and, with a lower relative velocity, (-)-trans-isopiperitenol, (+)-neomenthol, (+)-neoisomenthol and (-)-cis-isopiperitenol as substrates, but not (-)-cis-carvenol, (-)-menthol, (+)-isomenthol, 7-hydroxy-limonene, (-)-isopiperitenone or (-)-carvone. (1S,6R)-isopiperitenol + NAD(+) = (6R)-isopiperitenone + H(+) + NADH (1S,5R)-carveol + NADP(+) = (R)-carvone + H(+) + NADPH kcat is 0.02 sec(-1) with (-)-trans-carveol as substrate (at pH 7.5), kcat is 0.06 sec(-1) with (-)-trans-carveol as substrate (at pH 10), kcat is 0.002 sec(-1) with (-)-trans-isopiperitenol as substrate (at pH 7.5). Optimum pH is 10. Homodimer and homotetramer. Peltate glandular trichomes. Can use both NAD(+) or NADP(+) as cofactor. Belongs to the short-chain dehydrogenases/reductases (SDR) family.