IPA: /nɒnˈkɒnfərəns/
KK: /nɑnˈkɒnfərəns/
Describing something that is not part of a specific athletic conference.
The team played a nonconference game against a rival school.
Nonconference → It is formed from "non-" (meaning not) and "conference" (from Latin "conferentia", meaning bringing together). The word "nonconference" refers to something that is not a gathering or meeting where discussions or decisions are made.
Think of 'not' ('non-') being used to describe something that is a 'bringing together' ('conferentia') — that's why nonconference means it is not a meeting or gathering.