I think just the one gloss is best. The literal meaning is not correct.

@@ -16,2 +15,0 @@
-<gloss>haikai renga</gloss>
-<gloss g_type="lit">comic renga</gloss>

20 articles on wikipedia use "haikai no renga" directly:
https://en.wikipedia.org/w/index.php?fulltext=1&search="haikai+no+renga"&title=Special:Search&ns0=1
4 articles use "haikai renga"
https://en.wikipedia.org/w/index.php?search="haikai+renga"&title=Special:Search&profile=advanced&fulltext=1&ns0=1

A History of Japanese Literature: From the Man'yōshū to Modern Times
Quite a long passage on the themes of haikai renga (puns, humor, body parts, eventually sex, etc.)
https://books.google.co.jp/books?id=wUxOuD0NS5kC&pg=PA115&lpg=PA115&dq="Haikai+renga"+"comic+renga"&source=bl&ots=hyPw0_PQMp&sig=ACfU3U2w4PZF2dWVqU9kMY9iTCbtWvmmKA&hl=en&sa=X&ved=2ahUKEwic76aO4eqAAxWEb94KHUiDAAMQ6AF6BAgKEAM#v=onepage&q="Haikai renga" "comic renga"&f=false

Google book results for either form are plentiful. Some examples:

Understanding Humor in Japan - Page 211
Jessica Milner Davis · 2006
form called haikai-renga, which involved a lot of humor. In fact, haikai (...) essentially means "humor." Haikai-renga was increasingly welcomed as popular literature among the masses and settled into an established form of...

Haiku Seasons: Poetry of the Natural World - Page 19
William J. Higginson · 2009
(Haikai no renga is frequently abbreviated haikai renga, and sometimes shortened to simply haikai.) Throughout the history of haikai no renga a tendency grew to separate the hokku or “starting verse” from the longer collaborative poem, ...

Poetry Kaleidoscope - Page 156
Nicolae Sfetcu · 2014
One of greatest and most influential styles was haikai, emerging from haikai-renga in the medieval period. Matsuo Basho was a great haikai renga master and had a wide influence on his contemporaries and later generations.

The New Encyclopaedia Britannica: Macropaedia
1981 
As early as the 16th century haikai renga , or comic renga , had been composed by way of diversion after an evening of serious renga composition , reverting to the original social , rather than literary , purpose of making linked verse

This is actually glossed in English as the full "haikai no renga" or "haikai renga".  In the contexts that "俳諧の連歌" appears in Japanese (usually historical discussion), this would seem to be the correct gloss. Google book search will yield copious examples.  Often glossed along with the explanation "(comic renga)" or "(comic linked verse)", so the [lit] entry seems useful to translators.

While any style of poetry can theoretically be produced at any time, every instance I've seen of 俳諧の連歌 in Japanese is in a historical context, describing the emergence in the 16th century, maybe through Basho.  After that, it's evolved into something else (haiku, and the rest of sense[1] of 俳諧).  I think that marking this term as [hist] is probably an accurate reflection of modern usage, and helps disambiguate how this term differs from 俳諧[1].

Seems to be a precursor to "modern" haikai and haiku. Would put "precursor to haiku" in the gloss, but already longwinded. (haiku evolves from hokku, which is the first stanza of a [haikai no] renga).

Wanted to move the long description to [expl], but also want it visible in the xref from 俳諧...

@@ -14 +14,4 @@
-<gloss>haikai (humorous or vulgar renga poetry)</gloss>
+<misc>&hist;</misc>
+<gloss>haikai no renga (humorous, often vulgar style of renga which emerged in the 16th century)</gloss>
+<gloss>haikai renga</gloss>
+<gloss g_type="lit">comic renga</gloss>

@@ -6 +5,0 @@
-<ke_inf>&oK;</ke_inf>
@@ -11,0 +11 @@
+<pos>&exp;</pos>
@@ -12,0 +13 @@
+<xref type="see" seq="1559370">連歌</xref>

Entry created