Pythagorean in a sentence

Pythagorean intervals main Four of the above-mentioned intervals take a specific name in Pythagorean tuning.

The Pythagorean tuning is characterized by smaller differences because they are multiples of a smaller ε (ε ≈ 1.96 cents, the difference between the Pythagorean fifth and the average fifth).

For instance, you could type, “Explain the Pythagorean theorem” or “What led to the American Revolution?” for age-appropriate and detailed explanations.

However, in doing so, you use the Pythagorean theorem in any of its forms (e.g., the so-called “distance formula,” etc.).

Johnson and Jackson spoke on discovering new results in the understanding of the Pythagorean theorem.

Today, the Pythagorean cup is often viewed as a curiosity or a novelty item, but its underlying message remains relevant.

I have my Pythagorean formulas all ready to go, Mike.

A complete legend and fonts for the notation (see samples) are open source and available from Plainsound Music Edition. citation For example, the Pythagorean major third on C is C-E while the just major third is C-E -arrow-down.

Also ditone and semiditone are specific for Pythagorean tuning, while tone and tritone are used generically for all tuning systems.

Among the Pythagorean Sacred Discourses there is a dictum attributed to Arignote: The eternal essence of number is the most providential cause of the whole heaven, earth and the region in between.

An association between Pythagorean philosophy and reincarnation was routinely accepted throughout antiquity.

Aristotle claimed that the philosophy of Plato closely followed the teachings of the Pythagoreans, Metaphysics, 1.6.1 (987a) and Cicero repeats this claim: Platonem ferunt didicisse Pythagorea omnia ("They say Plato learned all things Pythagorean").

As an active and organised brotherhood the Pythagorean order was everywhere suppressed, and did not again revive.

A similar system was devised by Carl Eitz and used in Barbour (1951) in which Pythagorean notes are started with and positive or negative superscript numbers are added indicating how many commas (81/80, syntonic comma) to adjust by.

As it is only a necessary condition but not a sufficient one, it can be used in checking if a given triple of numbers is not a Pythagorean triple when they fail the test.

As yet, no set of three primitive Pythagorean triples have been found sharing the same interior lattice count.

Because most fifths in Pythagorean tuning are in the simple ratio of 3:2, they sound very "smooth" and consonant.

Both Freemasonry and Rosicrucianism have claimed to have evolved out of the Pythagorean Brotherhood.

By acting on the spinor ξ in (1), the action of Γ goes over to an action on Pythagorean triples, provided one allows for triples with possibly negative components.

Cicero, de Fin. v. 2 According to Walter Burkert (1972) citation :"Most obvious is the contradiction between Aristoxenus and Dicaearchus, regarding the catastrophe that overwhelmed the Pythagorean society.