PYTHAGORAS OF SAMOS

What is the over-riding dictum of Pythagoras’s school?

• All is color

• All is geometry

• All is language

• All is number

What is the Pythagorean Theorem?

• a2 + b2 = c2

• a2 - b2 = c2

• a2 x b2 = c2

• a2 ÷ b2 = c2

What is the holiest number according to Pythagoras?

• Three

• Five

• Ten

• Seven

What did Pythagoras discover about the intervals between harmonious musical notes?

• They have non-whole number ratios

• They have whole number ratios

• They are random

• They are irrelevant

What did Pythagoras impose on all the members of his school?

• All of the above

• Secret rites

• Communal living

• Strict vegetarianism

What did Pythagoras and his followers realize about non-integer solutions?

• They are also possible

• They are not important

• They are irrelevant

• They are not possible

What did Pythagoras describe as the primary building blocks of musical harmony?

• Octave, Perfect Fifth, Perfect Fourth

• Octave, Major Third, Perfect Fifth

• Octave, Perfect Fourth, Major Third

• Perfect Fifth, Major Third, Perfect Fourth

What did Pythagoras believe about the planets and stars?

• They were irrelevant

• They moved randomly

• They moved according to musical notes

• They were not important

What did Pythagoras and his followers establish the foundations of?

• Algebra

• Number theory

• Calculus

• Geometry

What did Pythagoras discover about the sum of the angles of a triangle?

• It is equal to three right angles

• It is equal to one right angle

• It is equal to two right angles

• It is equal to four right angles