- In mathematics, a
superparticular ratio, also
called a
superparticular number or
epimoric ratio, is the
ratio of two
consecutive integer numbers. More...
-
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...
- 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...
-
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)...
- theorem, 81:80 is the
closest superparticular ratio possible with
regular numbers as
numerator and denominator. A
superparticular ratio is one
whose numerator...
- 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...
-
justly tuned, and
their frequency ratio,
shown in the table, is a
superparticular number (or
epimoric ratio). The same is true for the octave. Typically...
- 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...
- ( 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...
