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...
- 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 This disambiguation...
- 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...
- consecutive pairs of {2,3,5}-smooth numbers (in music theory, giving the superparticular ratios for just tuning) let P = {2,3,5}. There are seven P-smooth squarefree...
- {\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...
- 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...
- half') may refer to: Sesquialterum in mathematics, the ratio 3:2, a superparticular ratio Sesquialtera or the equivalent Gr**** term hemiola, three in the...
- 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...
- Dirichlet character modulo 4, and converted to an Euler product of superparticular ratios (fractions where numerator and denominator differ by 1):...
- 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...