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2. Simpson's rule - Wikipedia

   en.wikipedia.org/wiki/Simpson's_rule

   Composite Simpson's 3/8 rule is even less accurate. Integration by Simpson's 1/3 rule can be represented as a weighted average with 2/3 of the value coming from integration by the trapezoidal rule with step h and 1/3 of the value coming from integration by the rectangle rule with step 2h. The accuracy is governed by the second (2h step) term

3. 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.

4. Major third - Wikipedia

   en.wikipedia.org/wiki/Major_third

   Just major third. Pythagorean major third, i.e. a ditone Comparison, in cents, of intervals at or near a major third Harmonic series, partials 1–5 numbered Play ⓘ.. In classical music, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third (Play ⓘ) is a third spanning four half steps or two whole steps. [1]

5. 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 .

6. Heaviside cover-up method - Wikipedia

   en.wikipedia.org/wiki/Heaviside_cover-up_method

   When a partial fraction term has a single (i.e. unrepeated) binomial in the denominator, the numerator is a residue of the function defined by the input fraction. We calculate each respective numerator by (1) taking the root of the denominator (i.e. the value of x that makes the denominator zero) and (2) then substituting this root into the ...

7. Harmonic progression (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Harmonic_progression...

   In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms. As a third equivalent characterization, it is an infinite sequence of the form.