The twelfth root of two is a mathematical term that refers to the value obtained when the number two is raised to the power of 1/12. This term may also be referred to as the 12th root of two or the duodecimal root of two. Another synonym for this term is the irrational number 2^(1/12), which means it cannot be expressed as a finite decimal or fraction. In music theory, this value is commonly referred to as the frequency ratio for one semi-tone step in the equal-tempered tuning system. Overall, the twelfth root of two has multiple synonyms, but they all indicate the same mathematical value.