User:Plumtree/Infobox Interval: Difference between revisions

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* 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>.

** In this form, '''Factorization''', '''Subgroup''', '''Ket'''/'''Monzo''', '''Cents''', '''FJS name''', '''Norms''', '''Harmonic entropy''' are computed automatically.

** 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''' and '''Norms''' are omitted, '''Factorization''', '''Subgroup''', '''Cents''', '''FJS name''', '''Harmonic entropy''' are computed automatically.

** When use this form? Whenever numerator or denominator are too large.

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

** In this form, '''Factorization''', '''Subgroup''', '''Ket'''/'''Monzo''', '''FJS name''', '''Norms''', '''Harmonic entropy''' are omitted.

** When use this form? Whenever the interval is irrational.

The template supports the following parameters:

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 * 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>.
 ** In this form, '''Factorization''', '''Subgroup''', '''Ket'''/'''Monzo''', '''Cents''', '''FJS name''', '''Norms''', '''Harmonic entropy''' are computed automatically.
+** 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''' and '''Norms''' are omitted, '''Factorization''', '''Subgroup''', '''Cents''', '''FJS name''', '''Harmonic entropy''' are computed automatically.
+** When use this form? Whenever numerator or denominator are too large.
 * Irrational intervals: <code><nowiki>{{Infobox Interval|Ratio=π|Cents=1981.795}}</nowiki></code>.
 ** In this form, '''Factorization''', '''Subgroup''', '''Ket'''/'''Monzo''', '''FJS name''', '''Norms''', '''Harmonic entropy''' are omitted.
+** When use this form? Whenever the interval is irrational.
 The template supports the following parameters: