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Remember that the arts in the Middle Ages in Europe were centered around the Church. One of the prime features of Renaissance arts is the moving away from the Church and religion as their focus.
Remember the role of patrons in this period: Artists have to take a long time to do projects, so need money to live. In the early times, only the church had money, but later, many others had money and could be art patrons. This correlates also with the last paragraph of Writeacher's remarks on the focus of art...artists focus on what the patrons demand (or are willing to pay for).
The first relationship between the arts and the Early Middle ages I would choose would be religion. The art of the Early Middle Ages represents scenes from the Bible to inspire awe and worship. Just from reading the text you can see that there is a lot of art representing the saints, which were all worshipped in different parts of Christianity. There are also the cathedrals, which were built in the sense of one’s desire to reach the kingdom of God. The second relationship I would choose would be the feudal system. Art helped promote the feudal system and it had people come to accept it as a fact of life. Art in that sense promulgated the feudal system was given directly from God, and with that there should be no question. Through art aristocracy maintained its power over their serfs. The third relationship I would choose would be the monastic life. Much of the art produced in the middle ages came from monks, whom of which produced religious works to decorate the monasteries. The art was dedicated to worshiping and would be enable contemplation.
The first relationship between the arts and the late Middle Ages I would choose would be the Gothic Architecture. The Gothic art was in forms of great cathedrals, which had pointed arches and vaults that exerted less lateral thrust than the semicircular Romanesque arches and vaults. Another part was the flying buttresses, which were used to reinforce the exterior arch that was only invented in the Gothic era. The second relationship I would choose would be the paintings. Some art was in the form of stained glass, such stained artwork as “Joshua Bidding the Sun to stand Still” or the “Life of Jesus” which was found in the Cathedral of Notre Dame. These stained glass windows had special importance in the late middle ages. The light from these stained glass windows was that light was believed to have mystical qualities as an attribute of divinity. The third relationship I would choose would be the medieval music. Art in the form of music brought people together as a way to devote themselves in music but also to be inspired by their religious faith. One English song that has survived from the thirteenth century and was unlike anything else was the “Summer Is Icumen In”. In this song the people celebrated nature rather than religion, and the physical life of Earth rather than the spiritual joys of heaven.
The reason I have chosen these relationships is because I feel that they are all very essential elements of medieval society and through these relationships you have a very good idea of the subjects and goals in medieval art, as well as an understanding of how society lived in the Early and Late Middle Ages.