According to page 92 of the 1947 Byzantine Music Theory book by Demetrios Panagiotopoulos (a book held in high regard by many), a sharp without a crossbar raises the pitch of a note by a half step: i.e., 6 units (μόρια) which is 100 cents, whereas a sharp with a crossbar raises the pitch by only 3 units (μόρια) which is 50 cents. He also writes that a sharp with two crossbars raises the pitch by 9 units, which is 150 cents.
Other respectable theory books, however, state something entirely different. For example, the 1958 theory book by Margaziotis states on page 32 that a sharp without a crossbar raises the pitch of a note only by 2 units, which is 33 cents, whereas a sharp with a crossbar raises the pitch of a note by 4 units, which is 67 cents. He also shows that a sharp with two crossbars raises the pitch by 6 units, and a sharp with three crossbars raises the pitch by 8 units. Margaziotis also mentions that these numbers are based on the Patriarchal Musical Committee of 1881.
Can someone please explain to me why this disagreement exists, and which of the two is correct?
Other respectable theory books, however, state something entirely different. For example, the 1958 theory book by Margaziotis states on page 32 that a sharp without a crossbar raises the pitch of a note only by 2 units, which is 33 cents, whereas a sharp with a crossbar raises the pitch of a note by 4 units, which is 67 cents. He also shows that a sharp with two crossbars raises the pitch by 6 units, and a sharp with three crossbars raises the pitch by 8 units. Margaziotis also mentions that these numbers are based on the Patriarchal Musical Committee of 1881.
Can someone please explain to me why this disagreement exists, and which of the two is correct?