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<includeonly><hr><small>Documentation transcluded from [[/doc]]</small></includeonly>
{{dochead}}
This template generates a table for JI approximation qualities in an [[edo]].
This template generates a table with the approximations of intervals for a given [[edo]] and [[odd limit]].


=== Usage ===
=== Usage ===
Use one unnamed argument for the edo number.  
Use one unnamed argument for the edo number.  


Use a second unnamed argument for the [[odd limit]]. The default is 15. The maximum is 27 since prime numbers beyond 23 are not stored.  
Use a second unnamed argument for the [[odd limit]]. The default is 15, since [[low-complexity just intonation]] typically involves just the first 16 harmonics of the harmonic series. Currently, this template stores prime numbers up to 61 and supports odd limits up to 65.


The title is by default "[Limit]-odd-limit intervals by patent val mapping". You can enter your custom title by <code>title = [your title]</code>.  
Pass <code>header=none</code> to get rid of the description.
 
To list only direct approximations, pass <code>apx=direct</code>. To list only val-based approximations, pass <code>apx=val</code>, and the header will be suffixed with <code>(approximated with val)</code>. Otherwise, both approximations will be provided.
 
If <code>apx</code> is set to <code>direct</code>, the header will be suffixed with <code>(approximated directly)</code>. If <code>apx</code> is set to <code>val</code>, the header will be suffixed with <code>(approximated with val)</code>. Pass <code>tag=none</code> to remove this.
 
A note can be added below the header by passing <code>note=</code> followed by the text to be displayed.
 
The title is "[Limit]-odd-limit intervals by patent val mapping", but you can enter a custom title by <code>title = [your title]</code>.


=== Examples ===
=== Examples ===
You type
; You type
<syntaxhighlight lang="text">
<pre>{{Q-odd-limit intervals|19}}</pre>
{{15-odd-limit|19}}
</syntaxhighlight>
 
You get
{{15-odd-limit|19}}


<noinclude>[[Category:Template documentation]]</noinclude>
; You get
{{{{ROOTPAGENAME}}|19}}
Retrieved from "https://en.xen.wiki/w/Template:Q-odd-limit_intervals/doc"