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Tetractys

The Tetractys is a triangular figure Triangular number

A triangular number is a number [i] that can be arranged in the shape of an equilateral [i] triangle [i] ... 

 consisting of ten points arranged in four rows: one, two, three, and four points in each row. As a mystical Mysticism

Mysticism from the Greek [i] ?st???? "an initiate" is the pursuit of achieving communi ... 

 symbol, it was very important to the followers of the secret worship of the Pythagoreans Pythagoreanism

Pythagoreanism is a term used for the esoteric [i] and metaphysical [i] beliefs held by Pythagoras [i] ... 

.

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Encyclopedia


The Tetractys is a triangular figure Triangular number

A triangular number is a number [i] that can be arranged in the shape of an equilateral [i] triangle [i]... 

 consisting of ten points arranged in four rows: one, two, three, and four points in each row. As a mystical Mysticism

Mysticism from the Greek [i] ?st???? "an initiate" is the pursuit of achieving communi ... 

 symbol, it was very important to the followers of the secret worship of the Pythagoreans Pythagoreanism

Pythagoreanism is a term used for the esoteric [i] and metaphysical [i] beliefs held by Pythagoras [i] ... 

.

Pythagorean symbol

  1. The Tetractys symbolized the four elements Classical element

    Many ancient [i] philosophies [i] used a set of archetypal [i] classical elements to explain pattern [i] ... 

     - earth, air, fire, and water.
  2. The first four numbers also symbolized the harmony of the spheres and the Cosmos Cosmos

    In its most general sense, a cosmos is an orderly or harmonious system.... 

  3. The four rows added up to ten, which was unity of a higher order
  4. The Tetractys represented the organization of space:
    1. the first row represented zero-dimension Dimension

      In common usage, a dimension is a parameter [i] or measurement [i] required to define the characteristi ... 

      s
    2. the second row represented one-dimension
    3. the third row represented two-dimensions
    4. the fourth row represented three-dimensions


A prayer Prayer

Prayer is an active effort to communicate with a deity [i] or spirit, including a monotheist [i] ... 

 of the Pythagoreans shows the importance of the Tetractys , as the prayer was addressed to it.
"Bless us, divine number, thou who generated gods and men! O holy, holy Tetractys, thou that containest the root and source of the eternally flowing creation! For the divine number begins with the profound, pure unity until it comes to the holy four; then it begets the mother of all, the all-comprising, all-bounding, the first-born, the never-swerving, the never-tiring holy ten, the keyholder of all".


As a portion of the secret religion, initiates were required to swear a secret oath by the Tetractys. They then served as novices for a period of silence lasting three years.

The Pythagorean oath also mentioned the Tetractys:
"By that pure, holy, four lettered name on high,
nature's eternal fountain and supply,
the parent of all souls that living be,
by him, with faith find oath, I swear to thee."


The Pythagorean SourceBook claimed that there were 2 quaternaries of numbers, one which is made by addition, the other by multiplication; and these quaternaries encompass the musical Music

Music is an art, entertainment [i], or other human activity that involves organized and audible sounds a ... 

, geometric Geometry

Geometry arose as the field of knowledge dealing with spatial relationships.... 

 and arithmetic ratios of which the harmony of the universe so composed. The first quartenary is 1,2,3,4. There are 11 total quartenaries. And the perfect world which results from these quaternaries is geometrically, harmonically and arithmetically arranged."

It is said that the Pythagorean musical system was based on the Tetractys as the rows can be read as the ratios of , , , forming the basic intervals of the Pythagorean scales. Pythagorean scales are based on pure fifths , and pure fourths which form a stable optimally blending intervals. The ratios of and 2:1 generate stable purely blending intervals.

Quote:
"The Tetractys [also known as the decad] is an equilateral triangle Triangle

A triangle is one of the basic shape [i]s of geometry [i]: a polygon [i] with three vertices [i] ... 

 formed from the sequence of the first ten numbers aligned in four rows. It is both a mathematical Mathematics

Mathematics is the discipline that deals with concepts such as quantity [i], structure [i], space [i] a ... 

 idea and a metaphysical Metaphysics

[i] concerned with explaining the nature of the [[World_|world]... 

 symbol that embraces within itself — in seedlike form — the principles of the natural world, the harmony of the cosmos, the ascent to the divine, and the mysteries of the divine realm. So revered was this ancient symbol that it inspired ancient philosophers to swear by the name of the one who brought this gift to humanity — Pythagoras Pythagoras

Pythagoras of Samos was an Ionian [i] mathematician [i] and philosopher [i], founder of the my ... 

."

— Attributed to Iamblichus

Kabbalist symbol



There are some who believe that the tetractys and its mysteries influenced the early kabbalists Kabbalah

Kabbalah literally means a "receiving", in the sense of a "received tradition".... 

. A Hebrew Tetractys in a similar way has the letters of the Tetragrammaton Tetragrammaton

The Tetragrammaton is the usual reference to the Hebrew [i] name for God [i], which is ... 

  inscribed on the ten positions of the tetractys, from left to right. It has been argued that the Kabbalistic Tree of Life, with its ten spheres of emanation, is in some way connected to the tetractys, but its form is not that of a triangle.

Tarot card reading arrangement

In a Tarot Tarot

Most modern tarot decks consist of 78 cards with allegorical [i] representations today used for ... 

 reading, the various positions of the tetractys provide a representation for forecasting future events.

The first row of a single position represents the Premise of the reading, forming a foundation for understanding all the other cards.

The second row of two positions respresents the cosmos and the individual and their relationship.
  • The Light Card to the right represents the influence of the cosmos leading the individual to an action.
  • The Dark Card to the left represents the reaction of the cosmos to the actions of the individual.


The third row of three positions represents three kinds of decisions an individual must make.
  • The Creator Card is rightmost, representing new decisions and directions that may be made.
  • The Sustainer Card is in the middle, representing decisions to keep balance, and things that should not change.
  • The Destroyer Card is leftmost, representing old decisions and directions that should not be continued.


The fourth row of four positions represents the four Greek elements.
  • The Fire card is rightmost, representing dynamic creative force, ambitions, and personal will.
  • The Air card is to the right middle, representing the mind, thought Thought

    Thought or thinking is a mental [i] process which allows beings to model [i] the world, an ... 

    s, and strategies toward goals.
  • The Water card is to the left middle, representing the emotion Emotion

    Emotion, in its most general definition, is a neural [i] impulse that moves an organism [i] to ... 

    s, feelings, and whims.
  • The Earth card is leftmost, representing physical realities of day to day living.

Other symbols


  • An archbishop Archbishop

    In Christianity [i], an archbishop is an elevated bishop [i]. ... 

    's coat of arms Coat of arms

    A coat of arms or armorial bearings , in Europe [i]an tradition, is a design belonging to a partic ... 

     shows two tetraktys designs.


  • The tetraktys is the fourth triangular number Triangular number

    A triangular number is a number [i] that can be arranged in the shape of an equilateral [i] triangle [i]... 

    's geometrical representation.

See also

  • Monad Monad

    Monad, Latin for unit, comes from the Greek word monos or ????, and may refer to:

... 


  • Dyad
  • Triad Triad

    Triad or is a collective term that describes many branches of an underground society and organizations b... 

  • Tetrad
  • Decad Decad

    The number ten or decad was not considered a number by the Pythagoreans [i], it was seen as an "assembly... 

  • Pentad Pentad

    The pentad, was used by the as a secret sign to recognize each other.... 

  • Iamblichus of Chalcis Iamblichus of Chalcis

    Iamblichus, also known as Iamblichus Chalcidensis, was a neoplatonist [i] philosopher [i] ...