Template:Odd-limit intro: Difference between revisions

Revision as of 21:25, 3 August 2025

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This template should not be substituted.

This template generates an intro (lead section) for odd limit pages.

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.

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-<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s which can be written as $2^k\frac{a}{b}$ where $a, b \leq {{{1|}}}$ and k is an integer. {{#ifexpr: {{{1|}}} > 1|To the [[{{#expr: {{{1|}}}-2}}-odd-limit]], it adds {{#invoke: Sequence | get_term
+<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 [[octavew-reduced]] interval{{#ifexpr: {{{1|}}} > 3|s|}} involving {{{1|}}}.|}}
+}} pairs of [[octave-reduced]] interval{{#ifexpr: {{{1|}}} > 3|s|}} involving {{{1|}}}.|}}
-Below is a list of all [[octave-reduced]] intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>
+Below is a list of all octave-reduced intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>
 {{documentation}}
 [[Category:Intro templates]]
 </noinclude>