Template:Odd-limit intro: Difference between revisions
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Created page with "<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all rational intervals for which neither the numerator nor the denominator of the frequency ratio exceeds {{{1|..." |
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<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s | <includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as 2<sup>''k''</sup>(''a''/''b'') where ''a'', ''b'' ≤ {{{1|}}} and ''k'' is an integer. {{#ifexpr: {{{1|}}} > 1|To the [[{{#expr: {{{1|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence | get_term | ||
| odd_limit_diff | |||
| {{#expr: ({{{1|}}} + 1) / 2}} | |||
}} pairs of [[octave-reduced]] interval{{#ifexpr: {{{1|}}} > 3|s|}} involving {{{1|}}}.|}} | |||
Below is a list of all | Below is a list of all octave-reduced intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude> | ||
{{ | {{documentation}} | ||
[[Category:Intro templates]] | [[Category:Intro templates]] | ||
</noinclude> | </noinclude> | ||
Latest revision as of 21:27, 3 August 2025
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- This template invokes the following functions: get_term from Sequence.
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This template should not be substituted. |
This template generates an intro (lead section) for odd limit pages.
Usage
Provide the number of the odd limit as an unnamed argument, e.g. {{odd-limit intro|5}} for an intro to the 5-odd-limit page.