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  2. Rule of thirds - Wikipedia

    en.wikipedia.org/wiki/Rule_of_thirds

    The tree is at the intersection of two lines, sometimes called a power point[1] or a crash point. [2] The rule of thirds is a rule of thumb for composing visual images such as designs, films, paintings, and photographs. [3] The guideline proposes that an image should be imagined as divided into nine equal parts by two equally spaced horizontal ...

  3. Quantile - Wikipedia

    en.wikipedia.org/wiki/Quantile

    Therefore, 6 is the rank in the population (from least to greatest values) at which approximately 2/4 of the values are less than the value of the second quartile (or median). The sixth value in the population is 9. 9 Third quartile The third quartile value for the original example above is determined by 11×(3/4) = 8.25, which rounds up to 9.

  4. Quarter-comma meantone - Wikipedia

    en.wikipedia.org/wiki/Quarter-comma_meantone

    Surprisingly, although this tuning system was designed to produce purely consonant major thirds, only eight of the intervals that are thirds in 12 TET are purely just ( 5 : 4 or about 386.3 cents) in the truncated quarter comma shown on the table: The actual quarter-comma notes needed to start or end the interval of a third are missing from ...

  5. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    Harmonic series, partials 1–5 numbered. In music, just intonation or pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies. An interval tuned in this way is said to be pure, and is called a just interval. Just intervals (and chords created by combining them) consist of tones from a ...

  6. Septimal minor third - Wikipedia

    en.wikipedia.org/wiki/Septimal_minor_third

    Origin of large and small seconds and thirds in harmonic series. [ 2] In music, the septimal minor third, also called the subminor third (e.g., by Ellis [ 3][ 4]) or septimal subminor third, is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies. [ 5] In terms of cents, it is 267 cents, a quartertone of size 36/35 ...

  7. Interval (music) - Wikipedia

    en.wikipedia.org/wiki/Interval_(music)

    The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).

  8. Perfect number - Wikipedia

    en.wikipedia.org/wiki/Perfect_number

    Perfect number. In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.

  9. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    Cube (algebra) y = x3 for values of 1 ≤ x ≤ 25. In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3. The cube is also the number ...