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  2. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [2] which are "pure" or perfect, with ratio :. This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2 : 1 {\displaystyle 2:1} ), and hence is the ...

  3. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    This is a triangle whose three angles are in the ratio 1 : 2 : 3 and respectively measure 30° (⁠ π / 6 ⁠), 60° (⁠ π / 3 ⁠), and 90° (⁠ π / 2 ⁠). The sides are in the ratio 1 : √ 3 : 2. The proof of this fact is clear using trigonometry. The geometric proof is: Draw an equilateral triangle ABC with side length 2 and with ...

  4. Aspect ratio - Wikipedia

    en.wikipedia.org/wiki/Aspect_ratio

    The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction. The values x and y do not represent actual widths and heights but, rather, the proportion between width and height. As an example, 8:5, 16:10, 1.6:1, 5 and 1.6 are all ways of representing the same aspect ratio.

  5. List of common display resolutions - Wikipedia

    en.wikipedia.org/wiki/List_of_common_display...

    The difference is that whilst D1 has a 4:3 aspect ratio 960H has a 16:9 widescreen aspect ratio. The extra pixels are used to form the increased area to the sides of the D1 image. The pixel density of 960H is identical to standard D1 resolution so it does not give any improvement in image quality, merely a wider aspect ratio.

  6. Magic square - Wikipedia

    en.wikipedia.org/wiki/Magic_square

    This sum can also be found in the four outer numbers clockwise from the corners (3+8+14+9) and likewise the four counter-clockwise (the locations of four queens in the two solutions of the 4 queens puzzle [50]), the two sets of four symmetrical numbers (2+8+9+15 and 3+5+12+14), the sum of the middle two entries of the two outer columns and rows ...

  7. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    Ratio. In mathematics, a ratio (/ ˈreɪʃ (i) oʊ /) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and ...

  8. Gear train - Wikipedia

    en.wikipedia.org/wiki/Gear_train

    For the wide-ratio transmission, the first gear ratio is 4:1 or 4, and in second gear it is 2:1 or 2, so the progression is equal to 4/2 = 2 (or 200%). For the close-ratio transmission, first gear has a 4:1 ratio or 4, and second gear has a ratio of 3:1 or 3, so the progression between gears is 4/3, or 133%.

  9. Display aspect ratio - Wikipedia

    en.wikipedia.org/wiki/Display_aspect_ratio

    The display aspect ratio (DAR) is the aspect ratio of a display device and so the proportional relationship between the physical width and the height of the display. It is expressed as two numbers separated by a colon (x: y), where x corresponds to the width and y to the height. Common aspect ratios for displays, past and present, include 5:4 ...