Entropy and Beauty

There are cultural and individual differences in aesthetic preferences. Parmenides considered a sphere to be the most beautiful shape. Pythagoras formulated the concept of harmony as arithmetic proportions of sound vibration frequencies. European architects and garden designers traditionally used the principle of unity by similarity and repetition, and principles of identity, opposition, tension and extention. On the other hand, traditional Japanese garden designers and floral composition designers avoided regular geometric forms and repetition of same forms, and composed harmony among dissimilar elements. In the traditional Japanese house, rooms are convertible and connectable, indicating the opposite of identity and opposition. Can these differences be measured? Is entropy an adequate measure? Are other measures needed?