Definition of Superparticular. Meaning of Superparticular. Synonyms of Superparticular

Here you will find one or more explanations in English for the word Superparticular. Also in the bottom left of the page several parts of wikipedia pages related to the word Superparticular and, of course, Superparticular synonyms and on the right images related to the word Superparticular.

Definition of Superparticular

Superparticular
Superparticular Su`per*par*tic"u*lar, a. [L. superparticularis. See Super-, and Particular.] (Math.) Of or pertaining to a ratio when the excess of the greater term over the less is a unit, as the ratio of 1 to 2, or of 3 to 4. [Obs.] --Hutton.

Meaning of Superparticular from wikipedia

- In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers. More...
- in Size of Pythagorean intervals. The fundamental intervals are the superparticular ratios 2/1, 3/2, and 4/3. 2/1 is the octave or diapason (Gr**** for...
- global warming signed in the Paris Agreement 1.5, an album by Big Data Superparticular ratio: 3/2 or 11⁄2 Perfect fifth (3/2), a musical interval "1.5" (song)...
- epimeric ratio, is a rational number that is greater than one and is not superparticular. The term has fallen out of use in modern pure mathematics, but continues...
- York, 1945]. It can be expressed as a ratio by compounding suitable superparticular ratios. Whether it is ****igned the ratio 64/45 or 45/32, depending...
- theorem, 81:80 is the closest superparticular ratio possible with regular numbers as numerator and denominator. A superparticular ratio is one whose numerator...
- only the powers of 2, 3, and 5. The fundamental intervals are the superparticular ratios 2/1 (the octave), 3/2 (the perfect fifth) and 5/4 (the major...
- {\frac {29}{28}}\cdots \end{aligned}}} In this product, each term is a superparticular ratio, each numerator is an odd prime number, and each denominator...
- tuning (Ptolemy's Diatonic Ditonic) is easily derived starting from superparticular ratios, (n+1)/n, constructed from the first four counting numbers,...
- ( x , x + 1 ) {\displaystyle (x,x+1)} and each such pair defines a superparticular ratio x + 1 x {\displaystyle {\tfrac {x+1}{x}}} that is meaningful...