The phrase "a different relation to" is correct and usable in written English.
It can be used when discussing varying connections or associations between entities, concepts, or individuals.
Example: "The study explores how individuals can have a different relation to their cultural heritage based on personal experiences."
Alternatives: "an alternative connection to" or "a distinct association with".
Already, I see that my son has a different relation to the German past than I did.
Test cricket runs according to a different clock, with a different relation to time and a different set of values.
For Guattari, the purpose of "institutional psychotherapy" was not just to cure psychotic patients, but also to learn with them a different relation to the world.
Troubled by this success in print - Götz was published to great acclaim but not staged for some time - Goethe seeks a different public and a different relation to the world.
When John expects the stock market to fall, he stands in a certain relation to the proposition or sentence-meaning "the stock market will fall"; and when Mary wants to be a doctor, she stands in a different relation to the proposition or sentence-meaning "Mary will be a doctor".
The thickness at the crack tip contributes more than the loading to the out-of-plane constraint, such that T33 (the second term of William's extension acting along the thickness) displays a similar relation to ε33 (strain along the thickness direction) and a different relation to T11 during the transient.
A new perception of metropolitan areas leads to a different relation between area and administration; hence between urban places and representation of citizens.
A model can have different relations to other models: It can be evolved from preliminary versions, it can be abstracted or integrated from other models, and it can be compared to competing models.
Self-compassion and compassion had different relations to a person's well-being, too.
In the light of history, one might have imagined a different relation between Europe and Africa, but there is no indication that that was ever considered.
