In a few words, Turner syndrome (or Ullrich-Turner syndrome) is a syndrome of growth retardation and impuberism with frequent cardiovascular or renal malformation, normal intelligence, due to a chromosome imbalance: 45, X and variants.
In a few words, Klinefelter syndrome is a syndrome of a normal or gynecoid male with normal intelligence or mild retardation, infertility, and possible behaviour or psychiatric problems, due to a chromosome imbalance: 47, XXY and variants.
Huret JL, Leonard C
Atlas of Genetics and Cytogenetics in Oncology and Haematology 2000-08-01
Other Constitutional Chromosome Diseases
Online version: http://atlasgeneticsoncology.org/teaching/30081/other-constitutional-chromosome-diseases