Both fusty and musty suggest lack of fresh air and sunlight, fusty also implying prolonged uncleanliness, musty stressing the effects of dampness,...

While in some cases nearly identical to putrid, malodorous may range from the unpleasant to the strongly offensive. // malodorous fertilizers

The synonyms noisome and putrid are sometimes interchangeable, but noisome adds a suggestion of being harmful or unwholesome as well as offensive....

The words rank and putrid are synonyms, but do differ in nuance. Specifically, rank suggests a strong unpleasant smell. // rank cigar smoke

Both stinking and fetid suggest the foul or disgusting. // prisoners were held in stinking cells // the fetid odor of skunk cabbage