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Any binary fraction a/2 m, such as 1/16 or 17/32, can be exactly represented in fixed-point, with a power-of-two scaling factor 1/2 n with any n ≥ m. However, most decimal fractions like 0.1 or 0.123 are infinite repeating fractions in base 2. and hence cannot be represented that way.
The scale can be expressed in four ways: in words (a lexical scale), as a ratio, as a fraction and as a graphical (bar) scale. Thus on an architect's drawing one might read 'one centimeter to one meter', 1:100, 1/100, or 1 / 100 . A bar scale would also normally appear on the drawing.
In the most familiar acuity test, a Snellen chart is placed at a standard distance: 6 metres. At this distance, the symbols on the line representing "normal" acuity subtend an angle of five minutes of arc, and the thickness of the lines and of the spaces between the lines subtends one minute of arc. This line, designated 6/6 (or 20/20), is the ...
A fractal dimension is an index for characterizing fractal patterns or sets by quantifying their complexity as a ratio of the change in detail to the change in scale. [ 5]: 1 Several types of fractal dimension can be measured theoretically and empirically ( see Fig. 2 ). [ 3][ 9] Fractal dimensions are used to characterize a broad spectrum of ...
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. [ 2] This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3.
Most modern lenses use a standard f-stop scale, which is an approximately geometric sequence of numbers that corresponds to the sequence of the powers of the square root of 2: f / 1, f / 1.4, f / 2, f / 2.8, f / 4, f / 5.6, f / 8, f / 11, f / 16, f / 22, f / 32, f / 45, f / 64, f / 90, f / 128, etc. Each element in the sequence is one stop ...
In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. For example, a just perfect fifth (for example C to G) is 3:2 ( Play ⓘ ), 1.5, and may be approximated by an equal tempered perfect fifth ( Play ⓘ) which is 2 7/12 (about 1.498). If the A above middle C is 440 Hz, the perfect fifth above it would ...
A semitone, also called a minor second, half step, or a half tone, [ 3] is the smallest musical interval commonly used in Western tonal music, [ 4] and it is considered the most dissonant [ 5] when sounded harmonically. It is defined as the interval between two adjacent notes in a 12-tone scale (or half of a whole step ), visually seen on a ...