Diatonos Chroma Harmonia

for we find 

Harmonia is the mnemonic for  272

and

 Chroma is the mnemonic for  1541

 and

 Diatonos is the mnemonic for 705

 and

 Harmonia = 272

 is 

The diameter of a circle

that when overlapped with

another circle of diameter 272

will form

a vesica / ιχθυσ

272 units wide

272 x 1.732 = 471 units long

 and 

471 is the diameter of a circle 

the circle of ΧΡΙΣΤΟΣ

having a circumference of

471 x 3.142 = 1480

and

1480 is the Mnemonic for ΧΡΙΣΤΟΣ

and

 a square whose sides are 471 has a diagonal of

471 x 1.4142 =  666

The Great Beast

ΤΟ ΜΕΓΑ ΘΕΡΙΟΝ

Now 

212 is the diameter of a circle whose circumference is 666

 and that number 666 being the diameter of another circle

 whose circumference is 2092.3 represents 

the diameter of the sphere of the Zodiac

 containing the square 1480 ΧΡΙΣΤΟΣ-Christos

 and 

and the sum of the numbers 

from 1 to 36 equals 666

and

272 is the diameter of a circle having a circumference of 854

 which is the width of a vesica 1480 long

 It may be therefore supposed that the word harmonia implies the number 1480

 Then Chroma = 1540

 is the length of a vesica 888 long

so that the word chroma may be taken to indicate the number 888

 Diatonos has the value of 705

 which is in round numbers the side of a square whose diagonals are 999; and a vesica formed of two circles 999 in circumference has a perimeter of 666, which may be supposed to be the number intended to be expressed by this name. We therefore get from the names given to the three kinds of harmony the numbers 2,046, 1,480, and 2,093, as the supposed basis of the harmonic system, and they are, apparently, used here by Vitruvius, as the received canonical measures summarizing the principal dimensions of the universe.