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The standard tempered fifth has a frequency ratio of 2 7/12:1 (or about 1.498307077:1), approximately two cents narrower than a justly tuned fifth. Ascending by twelve justly tuned fifths fails to close the circle by an excess of approximately 23.46 cents , roughly a quarter of a semitone , an interval known as the Pythagorean comma .
The tonal system is a base 16 system of notation (predating the widespread use of hexadecimal in computing), arithmetic, and metrology proposed in 1859 by John W. Nystrom. [1] In addition to new weights and measures, his proposal included a new calendar with sixteen months, a new system of coinage , and a clock with sixteen major divisions of ...
Chao's earlier description of the tone levels is an exponential approach. Chao proposed five tone levels, where each level is spaced two semitones apart. [5] A later description provides only one semitone between levels 1 and 2, and three semitones between levels 2 and 3. [6] This updated description may be a language-specific division of the ...
The sequence of numbers involved is sometimes referred to as the hailstone sequence, hailstone numbers or hailstone numerals (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), [5] or as wondrous numbers. [6] Paul Erdős said about the Collatz conjecture: "Mathematics may not be ready for such ...
A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758 Extravagant numbers
The next three weeks will serve as the ultimate litmus test for whether two-time reigning national champion UConn is capable of a historic three-peat, a feat no men’s college basketball program ...
Computable number: A real number whose digits can be computed by some algorithm. Period: A number which can be computed as the integral of some algebraic function over an algebraic domain. Definable number: A real number that can be defined uniquely using a first-order formula with one free variable in the language of set theory.
An expanding coalition of health and consumer advocates is campaigning against Robert F. Kennedy Jr.'s nomination to the top U.S. health job over concerns about his activism against vaccines and ...
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