A Medley of More Mathematics and Music. Eugenia Cheng, a mathematician who also is a concert pianist, describes how a mathematical breakthrough enabled Johann Sebastian Bach to write "The Well-Tempered Clavier" Besides, the beautiful harmony of this Iranian Dastgah is seen in Jelokhan of the mosque and the walls of the Naghsh-e Jahan Square.
The proportions and rules contained in the musical, architectural, and mathematical Jelokhan of the mosque were analyzed through the fact that most geometric points of Jelokhan from the beginning to the end, the main lines, the lines of symmetry, the vaults, the lines of the Mogharnas, and many of the details of the mosque's Jelokhan were built based on a pattern which is formed in a modular compendium of mathematics and music using the similarity of the Shur-e Sol Dastgah.
Thus, to understand the relationship between music and architecture, you need to understand the language of both along with finding their mutual ties. Marcus du Sautoy Simonyi Professor for the Public Understanding of Science and a professor of mathematics at the University of Oxford talks to a concert audience about the connections between music and mathematics.
The discovery of a hidden geometry in the depth of Jelokhan combined with Iranian Dastgahi music and mathematics along with finding a harmonic pattern in abstract patterns of the dome of Asemaneh coincided with changes in the frequency of the notes reflects its architect's adherence to the principles of music and math in the architecture of this mosque.
Natalya St. University of Surrey, England.
The objective was to reorganize geometric pattern in Jelokhan of Sheikh Lotfollah Mosque in city of Isfahan and the linkage of its Asemaneh of the dome with music. In scrutinizing the proportions between architecture and music, architecture and mathematics, principles and common standards such as equilibrium, balance and symmetry, decorations and proportions, hearing sensation, numerical philosophy, numerical proportions, graphic geometry and numerical relations were obtained.