- 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 "1.5" (song)...
- 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...
- 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...
-
tuning (Ptolemy's
Diatonic Ditonic) is
easily derived starting from
superparticular ratios, (n+1)/n,
constructed from the
first four
counting numbers,...
- the nth
square number (the sum of the
first n odd integers) form a
superparticular ratio: n ( n + 1 ) n 2 = n + 1 n {\displaystyle {\frac {n(n+1)}{n^{2}}}={\frac...
- In music, an
octave (Latin: octavus: eighth) or
perfect octave (sometimes
called the diapason) is a
series of
eight notes occupying the
interval between...