Quadrivium Miscellany with Rithmomachia

A diligent searcher
Any certain investigator, if he wishes to apply diligence to these things, who would not be able will be able to arrive at the perfect and greatest victory? Let him strive to establish the [harmonic] harmony In Rithmimachia, the "Great Victory" occurs when a player arranges captured or remaining pieces in the opponent's territory to form a specific mathematical progression (arithmetic, geometric, or harmonic). which, existing as a man... The text here becomes a string of abbreviations and numbers representing piece values f. 12, v. 3, v. 4, v. 3, v. 2, v. 4. In these are the means medietates; mathematical proportions and, moreover, they are in the ratio of all musical tones and symphonies, such as: 8, 5, 81, 8, 27, 15, 1000, and 15, 6, and 15, 125, and 8, 16, v. 1, v. 5, and 6, 26, and 38, v. and 36, 8, and 8, 81, 50, 32, and 30, 28, and 28. The Pyramid of the Blind original: Pyramis ceci; likely a specific name for a complex composite piece is a square: 10, 16, 25, 16, 8, 4, 1, and it is called "perfect," whose base is 126. The Royal [piece] original: Basilia v. 3 and 3. The Pyramid of the Blind is a [square] 100 148 ... The numbers here are fragmented and it is called "truncated" curta; a pyramid piece missing its top layers. Its base is 74, and the side of the base is 16.

It is manifest from the books of Arithmetic A reference to Boethius’s De Arithmetica, the standard medieval textbook on the subject. that the five kinds of inequality proceed from equality: the multiple, the superparticular, the superpartient, and and between these two composites These terms describe the ratios between numbers (e.g., 2:1 is "multiple," 3:2 is "superparticular"). The game uses these ratios to determine which pieces can capture others.. A certain member of the clergy of Würzburg original: wirinburgensi; this likely refers to Asilo of Würzburg, the 11th-century monk credited with inventing or organizing the game's rules. had discovered how these simple [ratios] produce this effect, and he shall give it to posterity. Let there be a table according to the length and the breadth for these: the multiple from the superparticular, and the multiple under the superpartient.