And one three-fourths as long produces the fourth, also very harmonious. A string two-thirds as long produces the next most harmonious note, now called the fifth. A string (such as that on a violin) produces a note with a particular pitch a string one-half as long produces an extremely harmonious note to the first, now called the octave. Perhaps their most spectacular discovery was that musical harmony is related to simple whole-number ratios. The Pythagoreans were especially fascinated by the presence of numbers in the natural world. This terminology remains in use to the present day. The square numbers (1, 4, 9, 16,…) were arranged in squares, and the triangular numbers (1, 3, 6, 10,…) were arranged in triangles ( see figure). They represented numbers by arrangements of dots. Some Pythagorean speculations were mathematical. So important was the number 10 in their view of cosmology that they believed there was a tenth body, Counter-Earth, perpetually hidden from us by the Sun. The Pythagoreans recognized the existence of nine heavenly bodies: Sun, Moon, Mercury, Venus, Earth, Mars, Jupiter, Saturn, and the so-called Central Fire. Thus 10 also symbolized all possible spaces. A single point corresponds to 1, a line to 2 (because a line has two extremities), a triangle to 3, and space to 4. This number symbolized unity arising from multiplicity. The most perfect number was 10, because 10 = 1 + 2 + 3 + 4. All even numbers were female, all odd numbers male. The number 2 was symbolic of the female principle, 3 of the male they come together in 2 + 3 = 5 as marriage. The number 1 symbolized unity and the origin of all things, since all other numbers can be created from 1 by adding enough copies of it. The Pythagoreans invested specific numbers with mystical properties. It is not even known whether the Pythagorean theorem in geometry was actually discovered by him. Little is known of his life, and in fact he may be a composite figure to whom the discoveries of many different people have been attributed by his followers. Pythagoras was a Greek who thrived in the 6th century bce. The earliest known systematic cult based on the rule of numbers was that of the Pythagoreans.
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BE SURE to strip location data / EXIF from your photos before sharing them if you are in a sensitive location.Edited photos are discouraged, but if you do find the need to edit photos, please try to copy / paste the same settings onto both photos.Try to take your shots as close (in time) as possible so the comparisons are in similar lighting / weather.Try to compose your shot as close as possible between your tested units so the images and conditions are similar.Take photos with whatever Mobile devices you have, minimum of 2 different devices so we can compare / contrast images.This thread is intended to be a place for users to post up comparison shots using cameras you have. With many of us in the Alternatives section turning over phones more often (sometimes multiple times per year), we get a chance at seeing more camera technology than those who strictly stick to Apple's annual releases. 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