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2. Pythagorean tuning - Wikipedia

   en.wikipedia.org/wiki/Pythagorean_tuning

   The purpose of this adjustment is to move the 12 notes within a smaller range of frequency, namely within the interval between the base note D and the D above it (a note with twice its frequency). This interval is typically called the basic octave (on a piano keyboard, an octave has only 12 keys).

3. Scale analysis (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Scale_analysis_(mathematics)

   Scale analysis rules as follows: Rule1-First step in scale analysis is to define the domain of extent in which we apply scale analysis. Any scale analysis of a flow region that is not uniquely defined is not valid. Rule2-One equation constitutes an equivalence between the scales of two dominant terms appearing in the equation. For example,

4. Non-dimensionalization and scaling of the Navier–Stokes equations

   en.wikipedia.org/wiki/Non-dimensionalization_and...

   In addition to reducing the number of parameters, non-dimensionalized equation helps to gain a greater insight into the relative size of various terms present in the equation. [1] [2] Following appropriate selecting of scales for the non-dimensionalization process, this leads to identification of small terms in the equation. Neglecting the ...

5. Renormalization group - Wikipedia

   en.wikipedia.org/wiki/Renormalization_group

   A change in scale is called a scale transformation. The renormalization group is intimately related to scale invariance and conformal invariance, symmetries in which a system appears the same at all scales (self-similarity), [a] where under the fixed point of the renormalization group flow the field theory is conformally invariant.

6. Scale parameter - Wikipedia

   en.wikipedia.org/wiki/Scale_parameter

   This scale factor is defined as the theoretical value of the value obtained by dividing the required scale parameter by the asymptotic value of the statistic. Note that the scale factor depends on the distribution in question. For instance, in order to use the median absolute deviation (MAD) to estimate the standard deviation of the normal ...

7. Self-similar solution - Wikipedia

   en.wikipedia.org/wiki/Self-similar_solution

   The above contains all the relevant physics and the next step is to solve the equations, which for many cases will include numerical methods. This equation is ′ / = ″ with solution satisfying the boundary conditions that = ⁡ (/) = (⁡ (/ /)) which is a self-similar solution of the first kind.

8. Strouhal number - Wikipedia

   en.wikipedia.org/wiki/Strouhal_number

   In order to determine significance of the Strouhal number at varying scales, one may perform scale analysis–a simplification method to analyze the impact of factors as they change with respect to some scale. When considered in the context of microrobotics and nanorobotics, size is the factor of interest when performing scale analysis.

9. Scaling (geometry) - Wikipedia

   en.wikipedia.org/wiki/Scaling_(geometry)

   A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x. For example, doubling distances corresponds to a scale factor of two for distance, while cutting a cake in half results ...