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Template:Infobox interval: Difference between revisions

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<includeonly>{{#invoke:Infobox Interval|infobox_interval
<includeonly>{{#invoke: Infobox_interval | infobox_interval
|Ratio={{{1|{{{Ratio|{{PAGENAME}}}}}}}}
| Ratio={{{1|{{{Ratio|{{PAGENAME}}}}}}}}
|Ket={{{Ket|{{{Monzo|}}}}}}
| Ket={{{Ket|{{{Monzo|}}}}}}
|Cents={{{Cents|}}}
| Cents={{{Cents|}}}
|Comma={{{Comma|}}}
| Comma={{{Comma|}}}
|Name={{{Name|}}}
| Name={{{Name|}}}
|Color name={{{Color name|}}}
| Color name={{{Color name|}}}
|FJS name={{{FJS name|}}}
| FJS name={{{FJS name|}}}
|Sound={{{Sound|}}}
| Sound={{{Sound|}}}
|Calc={{{Calc|}}}}}</includeonly><noinclude>
| Calc={{{Calc|}}}
The template '''Infobox Interval''' was built to help presenting basic information about [[interval]]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.
| debug={{lc:{{{debug|}}}}}
| Harmonic entropy={{lc:{{{Harmonic entropy|}}}}}
}}</includeonly><noinclude>
{{documentation}}


== Usage ==
[[Category:Infoboxes]]
There are three different ways to use this template:
* Small ratios: <code><nowiki>{{Infobox Interval}}</nowiki></code> (the ratio is inferred from page name), <code><nowiki>{{Infobox Interval|7/4}}</nowiki></code>, <code><nowiki>{{Infobox Interval|Ratio=7/4}}</nowiki></code>.
** When use this form? In most cases - whenever both numerator and denominator of the ratio are small enough to fit within Lua numbers as integers. You should not encounter any problems when those are <math>\leq 2^{32}</math>, and you might happen to not encounter any problems when those are <math>\leq 2^{53}</math>. With larger numbers, you are almost guaranteed to get inaccurate results.
* Large ratios: <code><nowiki>{{Infobox Interval|Ket=-2 0 0 1}}</nowiki></code>, <code><nowiki>{{Infobox Interval|Monzo=-2 0 0 1}}</nowiki></code>.
** In this form, '''Ratio''' (unless you specify it explicitly, in which case it will be printed as is) and most norms are omitted.
** When use this form? Whenever numerator or denominator are too large.
* Irrational intervals: <code><nowiki>{{Infobox Interval|Ratio=\pi|Cents=1981.795}}</nowiki></code>.
** In this form, '''Factorization''', '''Subgroup''', '''Monzo''' (unless you specify it explicitly), '''FJS name''', norms are omitted.
** When use this form? Whenever the interval is irrational.
 
The template will add the page to the categories when appropriate:
* [[:Category:Rational intervals]] and [[:Category:Irrational intervals]];
* [[:Category:2-limit]], [[:Category:3-limit]], ...;
* [[:Category:Unnoticeable commas]], [[:Category:Small commas]], [[:Category:Medium commas]], [[:Category:Large commas]];
* [[:Category:Superparticular]];
* [[:Category:Harmonics]], [[:Category:Octave-reduced harmonics]], [[:Category:Subharmonics]], [[:Category:Octave-reduced subharmonics]];
* [[:Category:Pages with internal sound examples]];
* [[:Category:Todo:add interval ratio]], [[:Category:Todo:add interval name]], [[:Category:Todo:add color name]], [[:Category:Todo:remove explicit ket notation]], [[:Category:Todo:remove explicit cents]], [[:Category:Todo:initialise Infobox Interval]], [[:Category:Todo:replace sup and sub with LaTeX]], [[:Category:Todo:remove manual line breaks]].
 
The template supports the following parameters:
 
{| class="wikitable"
! Entry
! Parameter
! Meaning, usage notes.
|-
| Ratio
| 1, Ratio
| Frequency [[ratio]] of the interval. Specified explicitly, derived from page name or omitted. For irrational intervals, a LaTeX expression describing the interval (without <nowiki><math></nowiki>).
|-
| Factorization
|
| Prime factorization of the ratio. Derived either from '''Ratio''' or '''Monzo''' or omitted for irrational intervals.
|-
| [[Monzo]]
| Ket, Monzo
| Coefficients of the [[Monzo]] notation, separated by whitespaces. Derived from '''Ratio''' or specified or omitted for irrational intervals. If you specify one for an irrational interval, [[Template:Monzo]] with the provided argument will be printed.
|-
| [[Smonzos and svals|Subgroup monzo]]
|
| Shown instead of '''Factorization''' and '''Monzo''' when there is a sequence of 4+ zeros in ket notation. Derived either from '''Ratio''' or '''Monzo''' or omitted for irrational intervals.
|-
| [[Cent]]s
| Cents
| Size in [[cent]]s. Either derived from '''Ratio''' or '''Monzo''' or specified for irrational intervals.
|-
| [[Comma|Comma size]]
| Comma
| Pass a non-empty string (for example, <code>yes</code> or <code>1</code>) to enable this entry. For specific values of '''Cents''', an interval is considered a comma. <math>(0; 3.5] \to</math> unnoticeable, <math>(3.5; 30] \to</math> small, <math>(30; 100] \to</math> medium, <math>(100; +∞) \to</math> large. If the interval is rational and is an integer power of another rational number, the entry is omitted.
|-
| [[Square superparticular|S-expression]]s
|
| For a rational '''Comma''', a search for S-expressions of specific forms is done.
|-
| Name
| Name
| Name(s) of the interval. Pages with missing values go into [[:Category:Todo:add interval name]]. You should not put any <nowiki><br/></nowiki> tags between names here; it will be done automatically.
|-
| [[Kite's color notation|Color name]]
| Color name
| Color name after [[Kite's color notation]] in the form: <code>written form, spoken form</code>. For color names see also [[Gallery of just intervals]]. Pages with missing values go into [[:Category:Todo:add color name]]. Default: omitted.
|-
| [[Functional Just System|FJS name]]
| FJS name
| [[Functional Just System]] name. Provided, derived from '''Ratio''' or '''Monzo''' or omitted for irrational intervals. Use LaTeX syntax to provide custom names: <code>P5^{11}_{5}</code>.
|-
| Special properties
|
| Currently implemented: [[Superparticular interval|superparticular]] and [[square superparticular]] for small ratios, [[harmonic]]s and [[subharmonic]]s, including reduced ones, whether a ratio is [[octave reduction|reduced]].
|-
| [[Tenney height]]
|
| Derived from '''Ratio''' or '''Monzo''' or omitted.
|-
| [[Weil height]]
|
| Derived from '''Ratio''' or omitted.
|-
| [[Benedetti height]]
|
| Derived from '''Ratio''', if the result is small, or omitted.
|-
| [[Harmonic entropy]]
|
| Harmonic entropy approximation (Shannon, <math>\sqrt{n\cdot d}</math> weights, <math>200\text{-integer limit}\cap\{x\mid\left|\left|x\right|\right|\leq 100\}</math>). Derived from '''Ratio''', '''Monzo''' or '''Cents'''.
|-
| Sound
| Sound
| Soundfile, if one exists. Only name of the file is required (no prefix "File:" and of course without brackets). Default: omitted.
|-
| [[Xen-calc]]
| Calc
| A link to xen-calc. Provided or derived from '''Ratio''' or '''Monzo''' or omitted. When provided (you should do that only for irrational intervals recognised by xen-calc, such as <code>sqrt(25/24)</code>), '''Calc''' is interpreted as the query, not the full link. It is urlencoded automatically.
|}
 
== Examples ==
{{#invoke:Infobox Interval|infobox_interval|Ratio=7/4|Name=harmonic seventh|Color name=z7, zo 7th|Sound=jid_7_4_pluck_adu_dr220.mp3|debug=hide}}
Usage example for a small ratio ([[7/4]]):
<pre>
{{Infobox Interval
| Name = harmonic seventh
| Color name = z7, zo 7th
| Sound = jid_7_4_pluck_adu_dr220.mp3
}}
</pre>
 
Usage example for a large ratio ([[septimal ruthenia]]), which is also considered to be a comma:
<pre>
{{Infobox Interval
| Monzo = -263 88 0 44
| Name = septimal ruthenia, septiruthenia
| Comma = yes
}}
</pre>
 
Usage example for an irrational interval ([[sqrt(25/24)]]):
<pre>
{{Infobox Interval
| Ratio = \sqrt{25/24}
| Monzo = -3/2 -1/2 1
| Cents = 35.336213
| Name = square root of 25/24
| Calc = sqrt(25/24)
}}
</pre>
 
== Boilerplate ==
'''Empty template''' for copy &amp; paste (to avoid copying wrong values from interval pages):
<pre>
{{Infobox Interval
| Name =
| Color name =
| Sound =
}}
</pre>
 
== See also ==
* [[Template:Infobox ET]]
* [[xen-calc]] – the according page of that tool gets linked automatically for rational intervals
 
[[Category:Templates]]
 
<!-- interwiki -->
[[de:Vorlage:Infobox Intervall]]
</noinclude>
</noinclude>
Retrieved from "https://en.xen.wiki/w/Template:Infobox_interval"