Why does Mayoi get embarrassed about this tongue twister?

Question

In Bakemonogatari, Mayoi says a tongue-twister that goes

「生ムミ、生モメ、生ママモ」

("namamumi, namamome, namamamamo") then gets embarrassed because they sound like another word. What's the reference they're making?

Answer 1

Caution: the answer might be NSFW since it contains vulgar words.

Here is the full dialogue by Araragi and Mayoi:

「では、生むみ生もめ生ままもと三回言ってください」
「お前が言えてないじゃん」
「生もめだなんて、いやらしいですっ！」
「言ったのはお前だからな」
「生ままもだなんて、いやらしいですっ！」
「そのいやらしさは、僕にはわからないが……」

Mayoi: So, say "namamumi namamome namamamamo" three times
Araragi: You can't even say it properly¹
Mayoi: Namamome is lewd!
Araragi: It's because you who says it
Mayoi: Namamamamo is lewd!
Araragi: I don't understand what's lewd with that, though...

^{(translated by myself, if there's an official translation of this dialogue, feel free to correct it)}

Namamumi doesn't exist in Japanese. The best Kanji representation is 生【なま】無味【むみ】, which means "raw tasteless".

Namamome can be represented by 生【なま】揉め【もめ】, which means "bare (breast) grope".

Namamamamo is... well, that word also doesn't exist in Japanese, and also meaningless. Even Araragi doesn't understand why Mayoi says that it's lewd.

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¹The original tongue twister is 生【なま】麦【むぎ】生【なま】米【ごめ】生【なま】卵【たまご】 (Namamugi namagome namatamago), which means "raw wheat, raw rice, raw egg". The one that Mayoi says is when all the consonants are changed to "m" (except the "n" in "nama"). This is to simulate the pronunciation by very young child (e.g. toddler) when their ability to speak is not well-developed yet.