Trivium & Quadrivium


 Trivium (3), Quadrivium (4) and the Senses (5)

Trivium is part of what is normally called the lower divison of the 7 liberal arts or 7 sacred sciences coined under Charlemagne and the Carolingian renaissance to imitate the name of the Quadrivium already in use.

trivium means “the place where three roads meet” (tri + via).

Trinity of Truth

“In true liberal education…the essential activity of the student is to relate the facts
learned into a unified, organic whole, to assimilate them as…the rose assimilates food from the soil and increases in size, vitality, and beauty.”

  • The Trivium: The Liberal Arts of Logic, Grammar, and Rhetoric



Arithmetic is the language of number.
Natural law emerges from recognizing number (more than one is divided “wholly”-ness).
Number defines individual relationship to the spatial world (e.i. “I’m am one, they are many”).






Geometry is the spatial definition of number.
Geometry is the conception of form.
Geometry is the result of numeric ratios in space.
Geometry is eternal.



Music is frequency and harmony.
Music is the geometry of numeric ratios in time.
Music is the observation of change in time and space like memory.

Music is the way Geometry changes over time (Number through TIME).
The same numeric ratios which define Geometric laws, define Musical Laws.
Our senses and responses are Musical in the way that observation is space and time-bound because it requires a detection of change.




Astronomy is number through space and time
Astronomy is the SENSORY connection between all things,
the way parts of the WHOLE interacts.
Astronomy is the study of the heavenly bodies, the elegant universal laws as
displayed by the motion of starts and all celestial bodies.
Astronomy is the integration of the micro world to the macro and understanding the
unified principles that govern nature at all scales. Such would be the understanding
of the simple laws of creation.



“the 3 roads that leads to truth and certainty”


the 4 classic sciences were

  1. Mathematics (knowledge of numbers)
  2. Geometry (knowledge of numbers in space)
  3. Music (knowledge of numbers in time)
  4. Astrology (knowledge of numbers in space and time)

Such compilation was called the 7 liberal arts or 7 sacred sciences and was the right and duty of all free men.


My pythagorean 3-4-5 tri-quad-sens