Template:Infobox ET: Difference between revisions

+sharp fifth, +flat fifth, -monotonicity
ArrowHead294 (talk | contribs)
mNo edit summary
 
(18 intermediate revisions by 5 users not shown)
Line 1: Line 1:
<div style="
<includeonly>{{#invoke: Infobox_ET | infobox_ET
border: 1px solid #999;
| name = Infobox ET
margin: 0;
| tuning = {{{1|{{SUBPAGENAME}}}}}
margin-left: 1em;
| Prime factorization = {{{Prime factorization|}}}
margin-bottom: 0.5em;
| Zeta = {{{Zeta|}}}
padding: 0.5em;
| Consistency = {{{Consistency|}}}
background-color: #f0f0f0;
| Distinct consistency = {{{Distinct consistency|{{{Distinct|}}}}}}
min-width: 15em;
| debug = {{lc:{{{debug|}}}}}
float: right;
}}</includeonly><noinclude>
">
{{documentation}}
{| width="100%" style="border-collapse: collapse;"
|+ '''{{PAGENAME}}'''
|-
{{#if: {{{Prime factorization|}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Prime factorization
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Prime factorization|}}} '''
}}
|-
{{#if: {{{Step size|}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Step size
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Step size|}}}'''
}}
|-
{{#if: {{{Fifth|{{{P5|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Fifth
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Fifth|{{{Fifth type|{{{P5|}}}}}}}}}'''
}}
|-
{{#if: {{{Semitones|}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Semitones (A1:m2)
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Semitones|}}}'''
}}
|-
{{#if: {{{Sharp fifth|{{{Sharp P5|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Sharp fifth
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Sharp fifth|{{{Sharp P5|}}}}}}'''
}}
|-
{{#if: {{{Flat fifth|{{{Flat P5|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Flat fifth
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Flat fifth|{{{Flat P5|}}}}}}'''
}}
|-
{{#if: {{{Major 2nd|{{{M2|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Major 2nd
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Major 2nd|{{{M2|}}}}}}'''
}}
|-
{{#if: {{{Minor 2nd|{{{m2|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Minor 2nd
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Minor 2nd|{{{m2|}}}}}}'''
}}
|-
{{#if: {{{Augmented 1sn|{{{A1|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Augmented 1sn
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Augmented 1sn|{{{A1|}}}}}}'''
}}
|-
{{#if: {{{Consistency|{{{Diamond consistency|}}}}}} |
  {{!}} style="text-align:right; padding-right: 0.25em" {{!}} Consistency limit
  {{!}} style="background-color: white; padding-left: 0.25em" {{!}} '''{{{Consistency|{{{Diamond consistency|}}}}}}'''
}}
|}
</div><noinclude>


The template '''Infobox ET''' was built to help presenting basic information about [[EDO]]s in a unified form, to make them obvious by glance. Also the formatting of the wiki text itself is easier to read and improve when it is obviously structured by this template.
[[Category:Infoboxes]]
 
The templates supports the following parameters:
 
{| class="wikitable"
! width="15%" | Parameter
! width="85%" | Meaning, usage notes
|-
| Prime factorization
| Prime factorization of the equal temperament (e.g. 12 = 2<sup>2</sup> × 3), even if prime per se (e.g. 17 (prime)).
|-
| Step size
| One step (1200/edo) of the equal temperament in cents (6 significant digits).
|-
| Fifth
| The closest approximation of 3/2, the perfect fifth (P5), in edosteps and in cents. (<code>P5 := round(log2(3/2)*edo)</code>)
|-
| Semitones
| Size of the augmented unison (A1) and minor second (m2) in edosteps and cents as generated by the fifth. <br>The A1 is the [[sharpness]] of the edo.
|-
| Sharp fifth
| For dual-fifths edos (fifth error > 1/3 edostep), the closest sharp approximation of 3/2, in edosteps and in cents.
|-
| Flat fifth
| For dual-fifths edos (fifth error > 1/3 edostep), the closest flat approximation of 3/2, in edosteps and in cents.
|-
| Major 2nd
| For dual-fifths edos (fifth error > 1/3 edostep), size of the major second (M2) in edosteps and cents as generated by the sharp fifth and the flat fifth.
|-
| <s>Minor 2nd</s>
| <s>Size of the minor second (m2) in edosteps and cents as generated by the fifth. (<code>m2 := 3*P8 - 5*P5</code>)</s>
|-
| <s>Augmented 1sn</s>
| <s>Size of the augmented unison (A1) in edosteps and cents as generated by the fifth. This is also the sharpness/flatness of the edo. (<code>A1 := M2 - m2</code>)</s>
|-
| Consistency
| The odd limit diamond to which the edo is consistent.
|}
 
Usage example for [[24edo]]:
<nowiki>{{Infobox ET
| Prime factorization = 2<sup>3</sup> × 3
| Step size = 50.0000¢
| Fifth = 14\24 (700.0¢) (→ [[12edo|7\12]])
| Semitones = 2:2 (100.0¢ : 100.0¢)
| Consistency = 5
}}</nowiki>
 
----
 
Empty (Step size is self-filling) template for copy &amp; paste (to avoid copying wrong values from edo pages:
<nowiki>{{Infobox ET
| Prime factorization =
| Step size = {{subst:#number_format:{{subst:#expr:1200/{{subst:#regex:{{subst:PAGENAME}}|/(\d+)-?EDO/i|\1}}}}|5}}
| Fifth =
| Semitones =
| Consistency =
}}</nowiki>
 
== See also ==
* [[Template:Infobox Interval]]
 
{{todo
| inline=1
| comment=Reach consensus on parameters, see discussion page!
<!-- | cleanup -->
}}
 
[[Category:Templates]]
<!-- interwiki -->
</noinclude>
</noinclude>