User:Fastaro/Generalized Pythagorean tuning: Difference between revisions
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\[ \prod_{x=0}^{k} R_{x_1} \cdot R_{x_2} = q^{k+1} \] | \[ \prod_{x=0}^{k} R_{x_1} \cdot R_{x_2} = q^{k+1} \] | ||
=== Set notation for Pythagorean ratios === | |||
<nowiki>Given the definitions of \[ R_{x_1} \text { and } \ R_{x_2} \] the set of pythagorean ratios for integer values of x from 0 to 6 is:</nowiki> | |||
\[ S = \left\{ \left( R_{x_1}, R_{x_2} \right) \mid x \in \mathbb{Z}, 0 \leq x \leq 6 \right\} \] | |||
<nowiki>This notation provides a compact and precise way to represent the set of all such tuples within the specified range of 'x'.</nowiki> | |||
=== Generating the ratios with Python code === | === Generating the ratios with Python code === | ||