I'd probably like the way your grandmother's house smells. In NYC I used to repair vintage Singer sewing machines for customers, usually by housecall, and the clientele was almost exclusively older women in their 60s to 90s. Their apartments all smelled the same to me, and I came to associate that sort of musty, lived-in scent with customers happy to see me (I was the only game in town).
Other people like the smell of old books, which smell pretty different from new books. Why doesn't a Barnes & Noble smell the same as a branch of the New York Public Library? I found the answer on the "Aroma Chemistry" section of Compound Interest, a British website that explains chemical compound phenomena with infographics:
I know the graphic's tough to read with our formatting limitations, so I'll blow up the relevant part:
The website goes into greater detail:
"Generally, it is the chemical breakdown of compounds within paper that leads to the production of 'old book smell'. Paper contains, amongst other chemicals, cellulose, and smaller amounts of lignin – much less in more modern books than in books from more than one hundred years ago. Both of these originate from the trees the paper is made from; finer papers will contain much less lignin than, for example, newsprint. In trees, lignin helps bind cellulose fibres together, keeping the wood stiff; it's also responsible for old paper's yellowing with age, as oxidation reactions cause it to break down into acids, which then help break down cellulose.
"'Old book smell' is derived from this chemical degradation. Modern, high quality papers will undergo chemical processing to remove lignin, but breakdown of cellulose in the paper can still occur (albeit at a much slower rate) due to the presence of acids in the surroundings. These reactions, referred to generally as 'acid hydrolysis', produce a wide range of volatile organic compounds, many of which are likely to contribute to the smell of old books. A selected number of compounds have had their contributions pinpointed: benzaldehyde adds an almond-like scent; vanillin adds a vanilla-like scent; ethyl benzene and toluene impart sweet odours; and 2-ethyl hexanol has a 'slightly floral' contribution. Other aldehydes and alcohols produced by these reactions have low odour thresholds and also contribute."
Incredibly, there is a cologne specifically formulated to smell like old books. It's not called that, though; the manufacturer gave it the more marketing-friendly moniker of "Paperback."
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