Template:ED intro: Difference between revisions

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<includeonly>{{#invoke:ED_intro|ed_intro_frame
<includeonly>{{#invoke: ED_intro | ed_intro
|ED={{{1|{{PAGENAME}}}}}
| ED = {{{1|{{ED title}}}}}
| debug = {{lc: {{{debug|}}}}}
}}</includeonly><noinclude>
}}</includeonly><noinclude>
This template creates an introduction for an ED page, namely equal divisions of the octave (edo), equal divisions of the tritave or twelfth (edt), equal divisions of the fifth (edf), equal divisions of a harmonic, equal divisions of an arbitrary ratio, and equal divisions of an arbitrary cent value.
{{documentation}}
 
== Usage ==
Supported formats are as shown:
* ''k''edo - equal divisions of the octave, sometimes denoted as ''k''ed2
* ''k''edt - equal divisions of the tritave/twelfth, sometimes denoted as ''k''ed3
* ''k''edf - equal divisions of the fifth, sometimes denoted as ''k''ed3/2
* ''k''ed''p''/''q'' - equal divisions of an arbitrary ratio ''p''/''q'', or if written as ''k''ed''p'', equal divisions of a harmonic
* ''k''ed''c''c - equal divisions of an arbitrary cent value ''c''
* ''k'' - if no suffix is included, then it will be treated as an edo.
 
For ED pages whose page title follows the above formats, add the following line without any parameters.
 
<pre>{{ED intro}}</pre>
 
For ED pages whose page title does not follow the aforementioned formats, include the intended ED as an unnamed parameter.
<pre>{{ED intro|6ed600c}}</pre>
 
== Examples ==
<pre>{{ED intro|12}}</pre>
<pre>{{ED intro|12edo}}</pre>
{{ED intro|12edo}}
 
<pre>{{ED intro|13edt}}</pre>
{{ED intro|13edt}}
 
<pre>{{ED intro|7edf}}</pre>
{{ED intro|7edf}}
 
<pre>{{ED intro|12ed5}}</pre>
{{ED intro|12ed5}}
 
<pre>{{ED intro|12ed5/2}}</pre>
{{ED intro|12ed5/2}}
 
<pre>{{ED intro|12ed600c}}</pre>
{{ED intro|12ed600c}}
 
<pre>{{ED intro|12ed100.3c}}</pre>
{{ED intro|12ed100.3c}}
 
== Equal-step tunings (1 equal division) ==
<pre>{{ED intro|1edo}}</pre>
{{ED intro|1edo}}
 
<pre>{{ED intro|1edt}}</pre>
{{ED intro|1edt}}
 
<pre>{{ED intro|1edf}}</pre>
{{ED intro|1edf}}
 
<pre>{{ED intro|1ed5}}</pre>
{{ED intro|1ed5}}
 
<pre>{{ED intro|1ed5/2}}</pre>
{{ED intro|1ed5/2}}
 
<pre>{{ED intro|1ed600c}}</pre>
{{ED intro|1ed600c}}
 
<pre>{{ED intro|1ed100.3c}}</pre>
{{ED intro|1ed100.3c}}
== See also ==
* [[Module:ED intro]] – the module that actually implements the functionality.
* [[Template:EDO intro]] – a similar template for edos.


[[Category:Intro templates]]
[[Category:Intro templates]]
</noinclude>
</noinclude>

Latest revision as of 18:22, 7 July 2025

Template documentation[view] [edit] [history] [purge]
This template should not be substituted.
This template uses Lua:

This template creates an introduction for an equal division page, namely:

  • Equal divisions of the octave or second harmonic (edo).
  • Equal divisions of the tritave, perfect twelfth, or third harmonic (edt).
  • Equal divisions of the fifth (edf).
  • Equal divisions of an arbitrary harmonic.
  • Equal divisions of an arbitrary ratio.
  • Equal divisions of an arbitrary cent value.

Usage

Supported formats are as shown:

  • kedo – equal divisions of the octave, sometimes denoted as ked2
  • kedt – equal divisions of the tritave/twelfth, sometimes denoted as ked3
  • kedf – equal divisions of the fifth, sometimes denoted as ked3/2
  • kedp/q – equal divisions of an arbitrary ratio p/q, or if written as kedp, equal divisions of a harmonic
  • kedcc – equal divisions of an arbitrary cent value c
  • k – if no suffix is included, then it will be treated as an edo.

For equal division pages whose page title follows the above formats, add the following line without any parameters. 

{{ED intro}}

For equal division pages whose page title does not follow the aforementioned formats, include the intended equal division as an unnamed parameter. 

{{ED intro|6ed600c}}

Examples

{{ED intro|12}}
{{ED intro|12edo}}

12 equal divisions of the octave (abbreviated 12edo or 12ed2), also called 12-tone equal temperament (12tet) or 12 equal temperament (12et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 12 equal parts of exactly 100 ¢ each. Each step represents a frequency ratio of 21/12, or the 12th root of 2. 

{{ED intro|13edt}}

13 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 13edt or 13ed3), is a nonoctave tuning system that divides the interval of 3/1 into 13 equal parts of about 146 ¢ each. Each step represents a frequency ratio of 31/13, or the 13th root of 3. 

{{ED intro|7edf}}

7 equal divisions of the perfect fifth (abbreviated 7edf or 7ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 7 equal parts of about 100 ¢ each. Each step represents a frequency ratio of (3/2)1/7, or the 7th root of 3/2. 

{{ED intro|12ed5}}

12 equal divisions of the 5th harmonic (abbreviated 12ed5) is a nonoctave tuning system that divides the interval of 5/1 into 12 equal parts of about 232 ¢ each. Each step represents a frequency ratio of 51/12, or the 12th root of 5. 

{{ED intro|12ed5/2}}

12 equal divisions of 5/2 (abbreviated 12ed5/2) is a nonoctave tuning system that divides the interval of 5/2 into 12 equal parts of about 132 ¢ each. Each step represents a frequency ratio of (5/2)1/12, or the 12th root of 5/2. 

{{ED intro|12ed600c}}

12 equal divisions of 600 ¢ (abbreviated 12ed600 ¢) is a nonoctave tuning system that divides the interval of 600 ¢ into 12 equal parts of exactly 50 ¢ each. 

{{ED intro|12ed600.1c}}

12 equal divisions of 600.1 ¢ (abbreviated 12ed600.1 ¢) is a nonoctave tuning system that divides the interval of 600.1 ¢ into 12 equal parts of about 50 ¢ each.

Equal-step tunings (1 equal division)

{{ED intro|1edo}}

1 equal division of the octave (abbreviated 1edo or 1ed2), also called 1-tone equal temperament (1tet) or 1 equal temperament (1et) when viewed under a regular temperament perspective, is the tuning system that uses equal steps of 2/1 (one octave), or exactly 1200 ¢. 

{{ED intro|1edt}}

1 equal division of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 1edt or 1ed3), is a nonoctave tuning system that uses equal steps of 3/1 (one tritave), or about 1900 ¢. 

{{ED intro|1edf}}

1 equal division of the perfect fifth (abbreviated 1edf or 1ed3/2) is a nonoctave tuning system that uses equal steps of 3/2 (one perfect fifth), or about 702 ¢. 

{{ED intro|1ed5}}

1 equal division of the 5th harmonic (abbreviated 1ed5) is a nonoctave tuning system that uses equal steps of 5/1, or about 2790 ¢. 

{{ED intro|1ed5/2}}

1 equal division of 5/2 (abbreviated 1ed5/2) is a nonoctave tuning system that uses equal steps of 5/2, or about 1590 ¢. 

{{ED intro|1ed600c}}

1 equal division of 600 ¢ (abbreviated 1ed600 ¢) is a nonoctave tuning system that uses equal steps of 600 ¢. 

{{ED intro|1ed600.1c}}

1 equal division of 600.1 ¢ (abbreviated 1ed600.1 ¢) is a nonoctave tuning system that uses equal steps of 600.1 ¢.

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