Why it works: Butter and milk are a kitchen classic. They rank in the top 7% of all ingredient pairs, and cooks put them together in 81,283 recipes. Both carry (z)-4-heptenal, which smells biscuit, cream. The science ↓
Potatoes Au Gratin
Ingredients
Directions
The book says “a moderate oven”. The 350°F (175°C) in the steps is the modern equivalent, not the book's own figure.
Make the sauce
In a saucepan, heat the butter over medium heat.
Add the flour, salt, and pepper, stirring until hot.
Gradually add the milk, cooking until the sauce is smooth.
Assemble and bake
Fold in the sliced potatoes and heat through.
Transfer to buttered individual dishes or a baking dish.
Gently fold in the chopped cheese and bake for about 10 minutes at 350°F (175°C).
Transcribed from a scanned cookbook and modernised for today's kitchens. Where the book gave no heat or time, or said "a moderate oven", the temperatures and times here may be modern equivalents rather than the book's own figures.
Photo for illustrative purposes only · Contact us to use it
Explore the science
The flavor team
The pairs that carry this dish. Each one is judged two ways: how much their aromas overlap, and how often cooks already put them together.
-
Butter + milktop 7% of all pairsSmell alikemoderateCooked together81,283 recipes
Shared aroma: (z)-4-heptenal (biscuit, cream).
-
Butter + cheesetop 8% of all pairsSmell alikemoderateCooked together7,962 recipes
Shared aroma: delta-dodecalactone (sweet, creamy).
-
Potato + peppertop 9% of all pairsSmell alikemoderateCooked together8,305 recipes
Shared aroma: 2-isopropyl-3-methoxypyrazine (earthy, pea).
-
Potato + milktop 9% of all pairsSmell alikemoderateCooked together3,611 recipes
Shared aroma: (e,z)-2,6-nonadienal (cucumber, melon).
-
Milk + cheesetop 10% of all pairsSmell alikemoderateCooked together4,426 recipes
Shared aroma: delta-dodecalactone (sweet, creamy).
Ranks compare each pair with 20,000 random ingredient pairs on CompKitchen. How we score pairs
What each ingredient does
- Cold boiled potatoes
- Form the bulk of the dish, absorbing the sauce and giving body to each serving.
- Butter
- Enriches the sauce and carries flavour, while helping the flour cook smoothly.
- Flour
- Thickens the milk into a smooth sauce that clings to the potatoes.
- Milk
- Forms the liquid base of the sauce, giving it creaminess and body.
- Cheese
- Melts into the sauce and adds savoury flavour and richness.
The step that matters
Cooking the milk into the sauce. Adding milk gradually while stirring keeps lumps from forming. Flour needs to be heated and dispersed in the liquid so its starch can thicken the sauce smoothly and evenly.
Swap the potato
How well each one fits the dish's main ingredients (butter, flour, pepper, milk, cheese):
- Potatothe original
- Capsicumfits about as well
- Asparagusfits less well
- Chivefits less well
Fit is the average pairing score against butter, flour, pepper, milk, cheese. Candidates are from the same food group and used in at least 100 recipes.
“What each ingredient does” and “The step that matters” were written by Claude from this recipe’s own method and reviewed in samples by CompKitchen.
More potato gratin recipes
You might also like
The free Flavor Lab newsletter: one surprising pairing a week and the molecular reason it works, in 60 seconds. No spam, unsubscribe anytime.
Prefer an account? Create a free account to save pairings and unlock the full chemistry.

Potato Croquettes255 recipes
Macaroni and Cheese102 recipes
Potato Rolls78 recipes
Potato Chips53 recipes