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2. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. ⁠ 1 / 8 ⁠ = ⁠ 1 / 2 3 ⁠. In Unicode, precomposed fraction characters are in the Number Forms block.

3. Five-limit tuning - Wikipedia

   en.wikipedia.org/wiki/Five-limit_tuning

   5-limit Tonnetz. Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument that obtains the frequency of each note by multiplying the frequency of a given reference note (the base note) by products of integer powers of 2, 3, or 5 (prime numbers limited to 5 or lower), such as 2 −3 ·3 1 ·5 1 = 15/8.

4. Scale length (string instruments) - Wikipedia

   en.wikipedia.org/wiki/Scale_length_(string...

   Smaller scale instruments are also quite commonly used by fully-grown players in jazz, folk music and similar ensembles. The system of conventional fractions is taken to its logical conclusion with string bass sizes, in that a full-size (4/4) bass is uncommon. Most basses are 3/4 or 7/8, and younger players can use 1/2 or even 1/4 size instruments.

5. Scale (ratio) - Wikipedia

   en.wikipedia.org/wiki/Scale_(ratio)

   The scale can be expressed in four ways: in words (a lexical scale), as a ratio, as a fraction and as a graphical (bar) scale. Thus on an architect's drawing one might read 'one centimeter to one meter', 1:100, 1/100, or ⁠ 1 / 100 ⁠. A bar scale would also normally appear on the drawing.

6. Pythagorean tuning - Wikipedia

   en.wikipedia.org/wiki/Pythagorean_tuning

   Comparison of equal-tempered (black) and Pythagorean (green) intervals showing the relationship between frequency ratio and the intervals' values, in cents. Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [2] which are "pure" or perfect, with ratio .

7. Perfect fifth - Wikipedia

   en.wikipedia.org/wiki/Perfect_fifth

   perfect fifth. In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so. In classical music from Western culture, a fifth is the interval from the first to the last of the first five consecutive notes in a diatonic scale. [2]