architecture, city and mathematics: the lost connection

The connection between architecture and sound based on mathematical relations has continued to develop since the rise of the western classical civilization that originated in ancient greece. the mysterious pythagorean cosmology pursued as secret esoteric knowledge was related to the search of rhythm, proportionality and harmony. even somewhat earlier, greek mysteries were based on a concord of music and form; accordingly architectural elements were to conform to musical notes. this line of reasoning can be traced as early as when the doctrines of orphism emerged in early greece to be followed by the concepts of pythagoras and his followers and eventually by the philosophical school of neo-platonists. early medieval christian thinkers like st. aurelius augustine and boethius revived and continued this ancient pagan tradition; they sustained and developed further the ideas of dependence between architecture and music (as well as mathematics). their ideas were further elaborated by later christian thinkers. architectural principles practiced by the architects belonging to the western tradition were passed further on, especially after the discovery of the writings by vitruvius in the late medieval period. the pythagorean tradition was still alive during the renaissance and even baroque. this tradition was gradually marginalized and forgotten with the rise of scientific and eventually ascientistmentality developed during the post-renaissance era. however, the roots of the application of mathematics and geometry to the design of urban settlements have survived. such principles can be still observed while studying the early patterns of western as well as non-western civilizations, and thus one can speak about the universal mathematical/geometric character of early urban design.