Template:Infobox interval: Difference between revisions

<includeonly>{{#invoke:Infobox Interval|infobox_interval

|Name={{{Name|}}}

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.

 

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>.

* Irrational intervals: <code><nowiki>{{Infobox Interval|Ratio=\pi|Cents=1981.795}}</nowiki></code>.

 

* [[:Category:Rational intervals]] and [[:Category:Irrational intervals]];

* [[:Category:2-limit]], [[:Category:3-limit]], ...;

* [[: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]].

 

 

{| class="wikitable"

! Parameter

| 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]]

| 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

|

| 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 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]]

|

| Soundfile, if one exists. Only name of the file is required (no prefix "File:" and of course without brackets). Default: omitted.

== Examples ==

Usage example for a small ratio ([[7/4]]):

| Name = harmonic seventh

| Monzo = -263 88 0 44

| Name = septimal ruthenia, septiruthenia

| Comma = yes

 

Usage example for an irrational interval ([[sqrt(25/24)]]):

| Ratio = \sqrt{25/24}

| Monzo = -3/2 -1/2 1

| Cents = 35.336213

| Name = square root of 25/24

| Calc = sqrt(25/24)

'''Empty template''' for copy &amp; paste (to avoid copying wrong values from interval pages):

* [[xen-calc]] – the according page of that tool gets linked automatically for rational intervals