In her paper “Apollo: The Pythagorean Definition of God” (see references), Anne Macaulay suggests that geometry and music were integrally related in ancient times. Her article investigates the hypothesis of a sacred alphabet that could have been used to encode numero-geometric values in the letters of a name.

The natural name to test was APOLLO. Using simple geometrical figures whose dimensions are determined by the placement of the letters in the Greek alphabet (for example, L is the 12th letter, which is represented by a 3 x 4 rectangle), the Apollo diagram is constructed, which gives rise to the basic ratios of music.

The story of the miraculous catch of 153 fish in an unbroken net that appears in John 21 is based upon Greek gematria and an underlying geometrical diagram. The number given for the 153 fishes is not arbitrary, but 1/8 of 1224, which is the numerical value of both the Greek words ichthues (fishes) and to diktuon (the net).

In this diagram, I have highlighted the relationships between this geometry and the numeric values of the musical scale where A = 432 hertz.

The geometry of the cube expresses the root ratios 1:√1, 1:√2, 1:√3.

In their 1917 book Gematria: A Preliminary Investigation of the Cabala (see references), Bligh Bond and Thomas Simcox Lea examine the symbolism of the cube as it relates to the gematria of biblical and gnostic writings, as well as the frequencies of the key Frauenhofer lines in the color spectrum. Their analysis is reproduced here.