<entry id="2270400" stat="A" corpus="jmdict" type="jmdict">
<ent_corp type="jmdict">jmdict</ent_corp>
<ent_seq>2062520</ent_seq>
<k_ele>
<keb>遠忌</keb>
</k_ele>
<r_ele>
<reb>おんき</reb>
</r_ele>
<r_ele>
<reb>えんき</reb>
</r_ele>
<sense>
<pos>&n;</pos>
<xref type="see" seq="1468450">年忌</xref>
<gloss>anniversary of a death twelve or more years earlier</gloss>
</sense>
<info>
<audit time="2005-09-20 00:00:00" stat="A">
<upd_detl>Entry created</upd_detl>
</audit>
<audit time="2023-05-31 07:44:42" stat="A" unap="true">
<upd_name>Brian Krznarich</upd_name>
<upd_email>...address hidden...</upd_email>
<upd_detl>Any evidence for "13th"?  I can't find anything like this.</upd_detl>
<upd_refs>daijs:
１ 五十年忌、百年忌など、没後に長い期間を経て行われる年忌。
２ 仏教諸宗派で、宗祖や中興の祖などの五十年忌ののち、50年ごとに遺徳を追慕して行う法会。

There's a whole list of standard anniversaries here:
https://www.eranda.jp/column/14283

And it says....
年忌法要は、1周忌の次は3回忌、3回忌の次は7回忌、7回忌の次は13回忌、その後は17回忌、23回忌、27回忌、33回忌、50回忌があります。
それ以降の法要は遠忌（おんき）法要と言い、50年ごとに開催されます。

This definition seems to exclude even the 1st 50th year anniversary, but in any case, at least 50 would seem to be the first one (all others notable anniversaries being explicitly numbered).</upd_refs>
<upd_diff>@@ -15 +15,2 @@
-&lt;gloss&gt;13th or later anniversary of a death&lt;/gloss&gt;
+&lt;xref type="see" seq="1468450"&gt;年忌&lt;/xref&gt;
+&lt;gloss&gt;death anniversary celebrated long after a person's death (esp. 50 year, 100 year, etc.)&lt;/gloss&gt;</upd_diff>
</audit>
<audit time="2023-06-01 07:27:11" stat="A">
<upd_uid>jwb</upd_uid>
<upd_name>Jim Breen</upd_name>
<upd_email>...address hidden...</upd_email>
<upd_detl>Trimming. I think this is enough.</upd_detl>
<upd_refs>GG5: the anniversary of the death of a person who has died twelve or more years before (hence, the 13th or a later anniversary).</upd_refs>
<upd_diff>@@ -16 +16 @@
-&lt;gloss&gt;death anniversary celebrated long after a person's death (esp. 50 year, 100 year, etc.)&lt;/gloss&gt;
+&lt;gloss&gt;anniversary of a death twelve or more years earlier&lt;/gloss&gt;</upd_diff>
</audit>
</info>
</entry>