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searching for Superparticular ratio 5 found (14 total)

Ragisma (97 words) [view diff] exact match in snippet view article find links to article

ragisma is an interval with the ratio of 4375:4374, ≈0.396 cents (a superparticular ratio). It is usually defined as the difference between the septimal minor

Syntonic comma (2,215 words) [view diff] exact match in snippet view article find links to article

81:80 is the closest superparticular ratio possible with regular numbers as numerator and denominator. A superparticular ratio is one whose numerator

Pythagorean interval (636 words) [view diff] exact match in snippet view article find links to article

the ratio 9/8, also known as epogdoon and it is the only other superparticular ratio of Pythagorean tuning, as shown by Størmer's theorem. Two tones

Leibniz formula for π (1,509 words) [view diff] exact match in snippet view article find links to article

{29}{28}}\cdots \end{aligned}}} In this product, each term is a superparticular ratio, each numerator is an odd prime number, and each denominator is

Regular number (3,277 words) [view diff] exact match in snippet view article find links to article

, 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 as