Discordance (noun)

1. A lack of agreement or harmony; a conflict or discrepancy.
2. A state of disagreement between people or things; disharmony.

Origin:

Late 16th century (in the sense "disagreement, strife"): from french discordance, from discordant "disagreeing", from latin discordare, from dis- "apart" + cordare "to agree".

Examples:

1. The discordance between the two countries led to tensions.
2. The discordance in opinion caused a rift among the group.
3. There was a discordance between the expected outcome and the actual results.
4. The discordance in their political views created a strained relationship.
5. The discordance in the data led to further investigation.