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| <includeonly>{{#invoke:Infobox_ET|infobox_ET|tuning={{{1|{{PAGENAME}}}}}|Zeta={{{Zeta|}}}|Consistency={{{Consistency|}}}|Distinct consistency={{{Distinct consistency|}}}}}</includeonly><noinclude> | | <includeonly>{{#invoke: Infobox_ET | infobox_ET |
| | | name = Infobox ET |
| | | tuning = {{{1|{{SUBPAGENAME}}}}} |
| | | Prime factorization = {{{Prime factorization|}}} |
| | | Zeta = {{{Zeta|}}} |
| | | Consistency = {{{Consistency|}}} |
| | | Distinct consistency = {{{Distinct consistency|{{{Distinct|}}}}}} |
| | | debug = {{lc:{{{debug|}}}}} |
| | }}</includeonly><noinclude> |
| | {{documentation}} |
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| The template '''Infobox ET''' was built to help presenting basic information about [[equal tuning]]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]] |
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| The template automatically fills in the following information (certain entries may be supplied with precomputed information using the keys in the Override column):
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| {| class="wikitable"
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| ! width="15%" | Entry
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| ! width="15%" | Override
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| ! width="70%" | Meaning, usage notes
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| |-
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| | ET identifier
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| | 1
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| | An identifier of the form ''X''ed''Y'', where ''X'' is the number of steps and ''Y'' is an [[equave]]: a non-negative integer, a positive rational number or one of letters signifying a rational number (<code>f</code>= 3/2, <code>o</code>= 2, <code>t</code>= 3). If not provided, the page title is assumed to be such an identifier. If parsing is unsuccessful, [[12edo]] is chosen as a fallback.
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| | Adjacent ETs
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| | Links to the previous and the next ETs in the family.
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| | Prime factorization
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| | Prime factorization of the equal temperament (e.g. 12 = 2<sup>2</sup> × 3), even if prime per se (e.g. 17 (prime)).
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| |-
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| | Step size
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| | One step (1200/edo) of the equal temperament in cents (6 significant digits).
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| |-
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| | Octave
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| | The closest approximation of 2/1, the octave (P8), in edosteps and in cents. Hidden for EDOs. (<code>P8 := round(size / log2(equave))</code>)
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| |-
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| | Fifth
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| | The closest approximation of 3/2, the perfect fifth (P5), in edosteps and in cents. Hidden for EDFs. (<code>P5 := round(size * log2(3/2) / log2(equave))</code>)
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| |-
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| | Semitones
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| | 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. (<code>A1 := 7 * P5 - 4 * P8; m2 := 3 * P8 - 5 * P5</code>)
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| | Dual sharp fifth
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| | For dual-fifths edos (fifth error > 1/3 edostep), the closest sharp approximation of 3/2, in edosteps and in cents.
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| |-
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| | Dual flat fifth
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| | For dual-fifths edos (fifth error > 1/3 edostep), the closest flat approximation of 3/2, in edosteps and in cents.
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| | Dual major 2nd
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| | 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. (<code>M2 := P5_flat + P5_sharp - P8</code>)
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| | Consistency
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| | Consistency
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| | The limit diamond to which the ET is [[consistent]]. This template will stop trying to compute this if the value is at least 43. The following generalization is used for arbitrary equaves: for degree ''n'', all ratios of the form <math>equave^{\mathbb{Z}} \cdot \frac{a}{b}, a, b \leq n</math>, are considered; when an increase of ''n'' does not add any new ratios, this degree is skipped.
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| | Distinct consistency
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| | Distinct consistency
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| | The limit diamond to which the ET is distinctly [[consistent]]. This template will stop trying to compute this if the value is at least 43.
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| | Special properties
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| | Zeta
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| | If the size is highly composite, an additional entry states the fact. See [[Highly composite equal division]]. If the size is within integer sequences associated with zeta peaks, zeta integrals or zeta gaps, an additional entry states the fact. See [[The Riemann zeta function and tuning]]. To hide zeta information, pass the value of <code>no</code>.
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| |}
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| == Usage examples ==
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| {{#invoke:Infobox_ET|infobox_ET|tuning=12edo}}
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| For a regular ET page:
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| <pre>
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| {{Infobox ET}}
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| </pre>
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| Specifying a specific ET from an unrelated page:
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| <pre>
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| {{Infobox ET|7ed5/4}}
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| </pre>
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| Supplying precomputed consistency limits when those are too large to be recomputed on each page update:
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| <pre>
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| {{Infobox ET|5407372813edo|Consistency=155|Distinct consistency=155}}
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| </pre>
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| == See also ==
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| * [[Template:Infobox Interval]]
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| {{todo
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| | inline=1
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| | comment=Reach consensus on parameters, see discussion page!
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| <!-- | cleanup -->
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| }}
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| [[Category:Templates]] | |
| <!-- interwiki -->
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| </noinclude> | | </noinclude> |