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[n]" accesskey="n"><span>Discussió per aquest IP</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Lloc"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Contingut" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Contingut</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">amaga</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inici</div> </a> </li> <li id="toc-Càlcul_del_Nombre_auri" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Càlcul_del_Nombre_auri"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Càlcul del Nombre auri</span> </div> </a> <ul id="toc-Càlcul_del_Nombre_auri-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Desfasament_i_opcions_per_corregir-lo" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Desfasament_i_opcions_per_corregir-lo"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Desfasament i opcions per corregir-lo</span> </div> </a> <ul id="toc-Desfasament_i_opcions_per_corregir-lo-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vegeu_també" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vegeu_també"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Vegeu també</span> </div> </a> <ul id="toc-Vegeu_també-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referències" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referències"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Referències</span> </div> </a> <ul id="toc-Referències-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contingut" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Commuta la taula de continguts." > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Commuta la taula de continguts.</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Nombre auri (astronomia)</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Vés a un article en una altra llengua. Disponible en 12 llengües" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-12" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">12 llengües</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D8%B0%D9%87%D8%A8%D9%8A_(%D8%B9%D9%84%D9%85_%D8%A7%D9%84%D9%81%D9%84%D9%83)" title="عدد ذهبي (علم الفلك) - àrab" lang="ar" hreflang="ar" data-title="عدد ذهبي (علم الفلك)" data-language-autonym="العربية" data-language-local-name="àrab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Goldene_Zahl_(Kalender)" title="Goldene Zahl (Kalender) - alemany" lang="de" hreflang="de" data-title="Goldene Zahl (Kalender)" data-language-autonym="Deutsch" data-language-local-name="alemany" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Golden_number_(time)" title="Golden number (time) - anglès" lang="en" hreflang="en" data-title="Golden number (time)" data-language-autonym="English" data-language-local-name="anglès" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_%C3%A1ureo_(astronom%C3%ADa)" title="Número áureo (astronomía) - espanyol" lang="es" hreflang="es" data-title="Número áureo (astronomía)" data-language-autonym="Español" data-language-local-name="espanyol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_d%27or_(astronomie)" title="Nombre d'or (astronomie) - francès" lang="fr" hreflang="fr" data-title="Nombre d'or (astronomie)" data-language-autonym="Français" data-language-local-name="francès" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/N%C3%BAmero_%C3%A1ureo_nos_calendarios" title="Número áureo nos calendarios - gallec" lang="gl" hreflang="gl" data-title="Número áureo nos calendarios" data-language-autonym="Galego" data-language-local-name="gallec" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_aureo_(calendario)" title="Numero aureo (calendario) - italià" lang="it" hreflang="it" data-title="Numero aureo (calendario)" data-language-autonym="Italiano" data-language-local-name="italià" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Gulden_getal" title="Gulden getal - neerlandès" lang="nl" hreflang="nl" data-title="Gulden getal" data-language-autonym="Nederlands" data-language-local-name="neerlandès" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Gyldentall" title="Gyldentall - noruec bokmål" lang="nb" hreflang="nb" data-title="Gyldentall" data-language-autonym="Norsk bokmål" data-language-local-name="noruec bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_%C3%A1ureo_nos_calend%C3%A1rios" title="Número áureo nos calendários - portuguès" lang="pt" hreflang="pt" data-title="Número áureo nos calendários" data-language-autonym="Português" data-language-local-name="portuguès" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%97%D0%BE%D0%BB%D0%BE%D1%82%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Золотое число - rus" lang="ru" hreflang="ru" data-title="Золотое число" data-language-autonym="Русский" data-language-local-name="rus" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Gyllental" title="Gyllental - suec" lang="sv" hreflang="sv" data-title="Gyllental" data-language-autonym="Svenska" data-language-local-name="suec" class="interlanguage-link-target"><span>Svenska</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q971128#sitelinks-wikipedia" title="Modifica enllaços interlingües" class="wbc-editpage">Modifica els enllaços</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espais de noms"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Nombre_auri_(astronomia)" title="Vegeu el contingut de la pàgina [c]" accesskey="c"><span>Pàgina</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a 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</nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">De la Viquipèdia, l'enciclopèdia lliure</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><div class="cdx-message cdx-message--block cdx-message--warning mw-revision"><span class="cdx-message__icon"></span><div class="cdx-message__content"><div id="mw-revision-info">Aquesta és una <a href="/wiki/Ajuda:P%C3%A0gina_d%27historial" class="mw-redirect" title="Ajuda:Pàgina d'historial">versió anterior</a> d'aquesta pàgina, de data 22:51, 7 set 2020 amb l'última edició de <a href="/wiki/Usuari:Rebot" class="mw-userlink" title="Usuari:Rebot" data-mw-revid="24859149"><bdi>Rebot</bdi></a> <span class="mw-usertoollinks">(<a href="/wiki/Usuari_Discussi%C3%B3:Rebot" class="mw-usertoollinks-talk" title="Usuari Discussió:Rebot">discussió</a> | <a 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Pot tenir inexactituds o contingut no apropiat no present en la <span class="plainlinks"><a class="external text" href="https://ca.wikipedia.org/wiki/Nombre_auri_(astronomia)">versió actual</a></span>.</div><div id="mw-revision-nav">(<a href="/w/index.php?title=Nombre_auri_(astronomia)&diff=prev&oldid=24859149" title="Nombre auri (astronomia)">dif.</a>) <a href="/w/index.php?title=Nombre_auri_(astronomia)&direction=prev&oldid=24859149" title="Nombre auri (astronomia)">←la pròxima versió més antiga</a> | <a href="/wiki/Nombre_auri_(astronomia)" title="Nombre auri (astronomia)">vegeu la versió actual</a> (<a href="/w/index.php?title=Nombre_auri_(astronomia)&diff=cur&oldid=24859149" title="Nombre auri (astronomia)">dif.</a>) | <a href="/w/index.php?title=Nombre_auri_(astronomia)&direction=next&oldid=24859149" title="Nombre auri (astronomia)">Versió més nova →</a> (<a href="/w/index.php?title=Nombre_auri_(astronomia)&diff=next&oldid=24859149" title="Nombre auri (astronomia)">dif.</a>)</div></div></div></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ca" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r34261971">.mw-parser-output .hatnote{width:100%;border-color:#77ccff;color:var(--color-base,#202122);background-color:#f5f5f5;margin-bottom:1em;font-style:italic}.mw-parser-output .hatnote i{font-style:normal}@media screen{html.skin-theme-clientpref-night .mw-parser-output .hatnote{color:var(--color-inverted,#fff);background-color:var(--background-color-inverted,#101418)}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .hatnote{color:var(--color-inverted,#fff);background-color:var(--background-color-inverted,#101418)}}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style> <table class="hatnote" cellspacing="5"> <tbody><tr> <td style="width: 25px; vertical-align: top;"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Confusion_grey.svg/22px-Confusion_grey.svg.png" decoding="async" width="22" height="17" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Confusion_grey.svg/33px-Confusion_grey.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Confusion_grey.svg/44px-Confusion_grey.svg.png 2x" data-file-width="260" data-file-height="200" /></span></span> </td> <td>No s'ha de confondre amb <a href="/wiki/Secci%C3%B3_%C3%A0uria" title="Secció àuria">Secció àuria</a> o <a href="/wiki/Nombre_auri" class="mw-redirect" title="Nombre auri">Nombre auri</a>. </td></tr></tbody></table> <p>En <a href="/wiki/Astronomia" title="Astronomia">astronomia</a>, s'anomena <b>Nombre auri</b>, al rang que té un any determinat dins el <a href="/wiki/Cicle_de_Met%C3%B3" class="mw-redirect" title="Cicle de Metó">cicle de Metó</a>, que es repeteix cada 19 anys i permet fer coincidir (amb un parell d'hores d'error) els <a href="/wiki/Fase_lunar" title="Fase lunar">cicles de la lluna</a> amb els cicles solars. Hi ha 19 <i>Nombres auris</i> (de l'1 al 19) i cada any té el seu <i>Nombre auri</i> associat. Aquest nombre auri no té cap relació amb el <a href="/wiki/Nombre_auri" class="mw-redirect" title="Nombre auri">nombre auri</a> (matemàtiques) o la <a href="/wiki/Secci%C3%B3_%C3%A0uria" title="Secció àuria">secció àuria</a>. </p><p>Aquest període de 19 anys o <a href="/wiki/Cicle_de_Met%C3%B3" class="mw-redirect" title="Cicle de Metó">Cicle de Metó</a>, descobert per l'astrònom grec <a href="/wiki/Met%C3%B3_(astr%C3%B2nom)" title="Metó (astrònom)">Metó d'Atenes</a>, va ser revelat el <a href="/wiki/453_aC" title="453 aC">453 aC</a> als <a href="/wiki/Jocs_Ol%C3%ADmpics" title="Jocs Olímpics">Jocs Olímpics</a>, i els atenencs, conscients de la importància d'aquest descobriment per millorar la sincronització del temps, van gravar aquest cicle en lletres d'or al temple dedicat a Minerva. D'aquí ve la paraula <i>Nombre d'or o Nombre auri</i> per descriure el rang d'un any dins el cicle de Metó i, per extensió, el mateix cicle.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Càlcul_del_Nombre_auri"><span id="C.C3.A0lcul_del_Nombre_auri"></span>Càlcul del Nombre auri</h2></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxer:CLM_14456_70v71r.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/CLM_14456_70v71r.jpg/220px-CLM_14456_70v71r.jpg" decoding="async" width="220" height="170" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fe/CLM_14456_70v71r.jpg/330px-CLM_14456_70v71r.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fe/CLM_14456_70v71r.jpg/440px-CLM_14456_70v71r.jpg 2x" data-file-width="2000" data-file-height="1546" /></a><figcaption>Diagrames medievals per al càlcul del Nombre auri</figcaption></figure> <p>El <b>Nombre auri</b> es calcula de la següent manera (es tracta d'un càlcul mòdul 19): <sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <ul><li>Es divideix l'any per 19 (per exemple, l'any 2008, 2008/19 = 105,68 que trunquem en 105);</li> <li>S'agafa el residu de la divisió anterior (105 × 19 = 1995 restat de 2008, ens queda un residu de 13 anys);</li> <li>S'hi suma 1 (13+1 = 14): el 2008 té doncs un <i>nombre auri</i> de <i>14</i>.</li></ul> <p>Que correspon a la fórmula: any (mòdul 19) + 1 </p><p>Aquesta regla serà vàlida fins que el <i>cicle metònic</i> de 19 anys, que és lleugerament més llarg del compte (quasi una hora i mitja), no sigui ajustat per reflectir el seu avanç, que al cap de 16 cicles (304 anys) serà de gairebé un dia, d'acord amb les observacions actuals del cicle lunar. </p> <div class="mw-heading mw-heading2"><h2 id="Desfasament_i_opcions_per_corregir-lo">Desfasament i opcions per corregir-lo</h2></div> <p>S'han proposat dues opcions per a corregir el desfasament del cicle: </p> <ul><li>No tocar ni el <i><a href="/wiki/Cicle_met%C3%B2nic" title="Cicle metònic">cicle metònic</a> tradicional</i> ni el càlcul del <i>Nombre auri</i> en si mateix, sinó introduir un nou cicle que aporti els dies addicionals de correcció lunar que caldrà aplicar a cada grup de 16 cicles.</li> <li>Canviar la fórmula de càlcul del <i>Nombre auri</i>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Vegeu_també"><span id="Vegeu_tamb.C3.A9"></span>Vegeu també</h2></div> <ul><li><a href="/wiki/Epacta" title="Epacta">Epacta</a></li> <li><a href="/wiki/Dion%C3%ADs_l%27Exigu" title="Dionís l'Exigu">Dionís l'Exigu</a></li> <li><a href="/wiki/Calendari_perpetu" title="Calendari perpetu">Calendari perpetu</a></li> <li><a href="/wiki/C%C3%A0lcul_de_la_Pasqua" class="mw-redirect" title="Càlcul de la Pasqua">Càlcul de la Pasqua</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referències"><span id="Refer.C3.A8ncies"></span>Referències</h2></div> <div class="reflist {{#if: | references-column-count references-column-count-{{{col}}}" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r33711417">.mw-parser-output .languageicon{font-size:0.95em;color:#555;background-color:inherit}@media screen{html.skin-theme-clientpref-night .mw-parser-output .languageicon{background-color:inherit;color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .languageicon{background-color:inherit;color:white}}</style><span class="languageicon" title="En anglès">(anglès)</span> 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