Template:Infobox interval/doc: Difference between revisions

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=== Usage ===

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>.

* Small ratios: <code>{{((}}Infobox Interval{{))}}</code> (the ratio is inferred from page name), <code>{{((}}Infobox Interval{{!}}7/4{{))}}</code>, <code>{{((}}Infobox Interval{{!}}Ratio=7/4{{))}}</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.

** 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>.

* Large ratios: <code>{{((}}Infobox Interval{{!}}Ket=-2 0 0 1}}</nowiki></code>, <code>{{((}}Infobox Interval{{!}}Monzo=-2 0 0 1{{))}}</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.

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| [[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'''.

| 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'''.

|-

| [[Comma|Comma size]]

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* {{modlink}}

* [[Template:Infobox ET]]

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

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

[[de:Vorlage:Infobox Intervall]]

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 === Usage ===
 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>.
+* Small ratios: <code>{{((}}Infobox Interval{{))}}</code> (the ratio is inferred from page name), <code>{{((}}Infobox Interval{{!}}7/4{{))}}</code>, <code>{{((}}Infobox Interval{{!}}Ratio=7/4{{))}}</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.
+** 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>.
+* Large ratios: <code>{{((}}Infobox Interval{{!}}Ket=-2 0 0 1}}</nowiki></code>, <code>{{((}}Infobox Interval{{!}}Monzo=-2 0 0 1{{))}}</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.
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 | [[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'''.
+| 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'''.
 |-
 | [[Comma|Comma size]]
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 * {{modlink}}
 * [[Template:Infobox ET]]
-* [[xen-calc]] – the according page of that tool gets linked automatically for rational intervals
+* [[xen-calc]] &ndash; The according page of that tool gets linked automatically for rational intervals.
 <!-- interwiki -->
 [[de:Vorlage:Infobox Intervall]]