User:Contribution/Factor Limit: Difference between revisions
Contribution (talk | contribs) Created page with "====Purpose==== A common way to determinate a subset of Just Intonation intervals is to demarcate an harmonic limit. Another possible way would be to delimit a maximal a..." |
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===Examples=== | ===Examples=== | ||
* 1-factor-limit contains only the harmonic and subharmonic series. | |||
* 2-factor-limit contains also 2<sup>2</sup>, 2<sup>-2</sup>, 2*3, 2<sup>-1</sup>*3<sup>-1</sup>, 2<sup>-1</sup>*3, 2*3<sup>-1</sup>, 3<sup>2</sup>, 3<sup>-2</sup>, etc... | |||
* 3-factor-limit contains also 2<sup>3</sup>, 2<sup>-3</sup>, 2<sup>2</sup>*3, 2<sup>-2</sup>*3<sup>-1</sup>, 2<sup>-2</sup>*3, 2<sup>2</sup>*3<sup>-1</sup>, 2*3<sup>2</sup>, 2<sup>-1</sup>*3<sup>-2</sup>, 2<sup>-1</sup>*3<sup>2</sup>, 2*3<sup>-2</sup>, 3<sup>3</sup>, 3<sup>-3</sup>, etc... | |||
3-factor-limit contains also 2<sup>3</sup>, 2<sup>-3</sup>, 2<sup>2</sup>*3, 2<sup>-2</sup>*3<sup>-1</sup>, 2<sup>-2</sup>*3, 2<sup>2</sup>*3<sup>-1</sup>, 2*3<sup>2</sup>, 2<sup>-1</sup>*3<sup>-2</sup>, 2<sup>-1</sup>*3<sup>2</sup>, 2*3<sup>-2</sup>, 3<sup>3</sup>, 3<sup>-3</sup>, etc... | |||
=Minimal and maximal primes factor limit= | =Minimal and maximal primes factor limit= | ||
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===Examples=== | ===Examples=== | ||
* 5-7-2-mmpfactor-limit contains only 5*7, 5*7 | |||