"dissonance with" is correct and usable in written English.
You can use it to describe a sense of conflict or discord between two elements or ideas. For example: "The teenager felt a dissonance with his parents' traditional values."
Stacey Y . Abrams Devolution's Discord: Resolving Operational Dissonance with the UBIT Exemption, 17 Yale L. & Pol'y Rev. (1998).
There is a tendency to confuse consonance with concord, or sweet sound, dissonance with discord, or clashing sound.
Turkey, duck, chicken – there is such dissonance with everything to do with this dish, other than they are all fowl.
But it was also drenched in dissonance, with a lot of collective improvisation in the rhythm section.
The revealed general tendencies seemed to us in dissonance with those activities, which were carried out in the system of healthcare.
But his struck a rare chord of dissonance with Tunisia's carefully nurtured image as a tranquil, orderly, mildly prosperous playground for tourists and foreign investors.
Originally touted as a rising star, his increasingly avant garde early experiments with dissonance met with disapproval.
Mr. Surman dug in on baritone, working out a tangle of chromatic dissonances with hard, gutsy blowing.
In his final organ work, "Livre du Saint Sacrement," Messiaen juxtaposes more sky-rending dissonances with quieter passages that glow with an interior serenity.
The exhibition's curator, Georgianna Ziegler, who is the Louis B. Thalheimer Head of Reference at the library and has published widely on female writers of the Elizabethan Age, points out some of the dissonances with Woolf's vision.
Laura Schwendinger's "Garden of Earthly Delights," inspired by the famous Bosch triptych of that name, was a suspenseful tangle of bristling lines and eerie dissonances with passages of melancholy respite.
