pythagorean

We learned Euclidean geometry, proved the Pythagorean theorem through construction, calculated ancient dates, and wrote about it all.

A computer could generate music with perfect pythagorean ratios relative to the dominant key at any given time.

This complaint looks to me much like someone complaining about the Pythagorean theorem because it results in irrational numbers.

E^2 = (mc^2)^2 + (pc)^2 Is it just coincidence that this looks like the Pythagorean theorem?

The Pythagorean comma is nothing to worry about -- it's tiny and more or less negligible.

In both pythagorean tuning and meantone tuning, there is no enharmonic identity - C sharp does not equal D flat, etc.

This is true for the hexachord system, based upon pythagorean tuning (perfect fifths of 3/2 ratio), employed in the late medieval era.

My Roland digital piano has several temperaments it can use including meantone, just, pythagorean.

I remember being taught the sum of the internal angles, the pythagorean theorem and other facts by folding paper triangles.

Potentially worthless anecdote: I mostly botched an algorithm for finding Pythagorean triplets in an interview recently, and still got called back.

What still twists my melon about harmony is the Pythagorean Comma.

You get to do projections as in the Pythagorean theorem.

What's peculiar is that the temporal entry of the four vector gets the "opposite sign" for the Pythagorean theorem.

Algebraically moving things around gives us the "Pythagorean" form.

Cut the Knot has another good page, "The Pythagorean Theorem is Equivalent to the Parallel Postulate," pointing out that the conventional form of the Pythagorean Theorem is a theorem only of Euclidean geometry, and the theorem's statement has to be modified in non-Euclidean geometry.

[aside: from the title alone, I guessed this was a game where achievements allowed you to buy language features: "your next task is to draw a Pythagorean tree.