Template:Odd-limit intro: Difference between revisions

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<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s ~~for~~ which ~~neither the numerator nor the denominator of the [[frequency ratio]] exceeds~~ {{{1|}}}~~, once all powers of 2 are removed~~. {{#ifexpr:{{{1|}}}>1|To the [[{{#expr:{{{1|}}}-2}}-odd-limit]], it adds {{#invoke:Sequence|get_term|odd_limit_diff|{{#expr:({{{1|}}}+1)/2}}}} interval ~~pair~~{{#ifexpr: {{{1|}}}>3|s|}} involving {{{1|}}}.|}}

<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 ~~intervals~~ in the {{{1|}}}-odd-limit.</includeonly><noinclude>

Below is a list of all octave-reduced intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>

{{~~todo|review|inline=1|comment=The Lua invoke doesn't work yet.~~}}

~~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. <code><nowiki>{{OL intro|5}}</nowiki></code> for an intro to the [[5-odd-limit]] page.~~

~~== See also ==~~

* [[Template:Odd-limit navigation]]

[[Category:Intro templates]]

</noinclude>

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-<includeonly>The '''{{{1|}}}-odd-limit''' is the set of all [[rational interval]]s for which neither the numerator nor the denominator of the [[frequency ratio]] exceeds {{{1|}}}, once all powers of 2 are removed. {{#ifexpr:{{{1|}}}>1|To the [[{{#expr:{{{1|}}}-2}}-odd-limit]], it adds {{#invoke:Sequence|get_term|odd_limit_diff|{{#expr:({{{1|}}}+1)/2}}}} interval pair{{#ifexpr: {{{1|}}}>3|s|}} involving {{{1|}}}.|}}
+<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 intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>
+Below is a list of all octave-reduced intervals in the {{{1|}}}-odd-limit.</includeonly><noinclude>
-{{todo|review|inline=1|comment=The Lua invoke doesn't work yet.}}
+{{documentation}}
-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. <code><nowiki>{{OL intro|5}}</nowiki></code> for an intro to the [[5-odd-limit]] page.
-== See also ==
-* [[Template:Odd-limit navigation]]
 [[Category:Intro templates]]
 </noinclude>