The Davidic Cipher

The Davidic Cipher is the Rosetta Stone that provides the key enabling the ten symbols of the te'amim¹ found within the psalm manuscripts to be deciphered into fixed pitched and written in standard music notation. Utilizing the principles of a simple atbash cipher², the Davidic Cipher links the following three elements together:

1. Twenty-two letters of the Hebrew alephbet (read right-to-left).

2. Twenty-four tones of an ascending quartertone musical scale (read left-to-right)³.

3. Ten symbols of the cantillation marks found within the Psalm manuscripts³.

atbash cipher (traditional and as applied to the quartertone scale⁴)

¹ aka cantillation marks, trope, Hebrew accents
² the atbash cipher is a basic substitution cipher used by the early Hebrew writers of the Bible to obscure or encrypt the original Hebrew word (see Jeremiah 25:26, 51:11, 51:41). In a traditional atbash cipher, the Hebrew alephbet is applied in reverse to itself. In relation to the musical system of the Psalms, the letters of the alephbet are applied as read (right-to-left) to the tones of an ascending quartertone scale (left-to-right). This is similar to the Greek system of notation explained by a few music theorists of the third or fourth century C.E. (Henderson, Isobel. "Ancient Greek Music." In Ancient and Oriental Music, edited by Egon Wellesz, (London, New York, Toronto: Oxford University Press, 1957), 336-403)
³ "On ten, and on a harp. On meditation with a lyre." - Psalm 92:3 (92:4 JPS)
⁴ in the Davidic Cipher, the two quartertones between the tritone F and B and their notes of resolution (i.e., F-to-E and B-to-C) are omitted and not associated with the twenty-two letters of the Hebrew alephbet.