Rather than start a complete new thread, I thought I'd add my comments to this one as I've been hearing this stuff also.
First off, although I'm not a language expert, I think the language, at least in Sealord's recording (and in the stuff I've heard between 6999 - 7020 khz around 1200 utc - 1400 utc), is Tagalog or Malay, and I think a lot of these transmissions are coming from SE Asia, because the transmissions seem to match the propagation.
I've noticed guys chattering away around 6999 khz since 2002, when I first heard it.
It would always start up around 1200 - 1300 utc or so, depending on whenever propagation to Asia really opened up on the 40 meter ham band. The transmissions would last until the Asian broadcast stations just above the 40 meter ham band started fading out, and they generally faded out around the same time.
I didn't hear the heavy duty chanting until a few days ago when I heard a racket going on at 7019 khz, and it went on for at least 20 minutes or more. The signals spread across a couple khz of spectrum, and there was just one ham trying to call CQ in that portion of the 40 meter CW band before he just gave up.
The chanting sounded like 5-10 guys all shouting into their mikes at once. Nga Nga Nga, DaNam DaNam DaNam DaNam, etc. It struck me as if they were trying to drive CW hams off the frequency. But maybe they do it for some other reason.
I have just listened to the recording that Sealord posted, and the chanting I heard sounded a lot like that, and the speech during the non-chanting portions of the recording is similar to the speech I have heard. And it sounds to me like Tagalog or Malay. If it is coming from SE Asia, the inclusion of some English words would be natural, because English is taught in Philippine and Malaysian schools.
I have heard transmissions in Mexican Spanish on these frequencies, but it's usually around 0000 utc - 0500 utc or later. Around 1200 utc or later I usually just hear the Asian-sounding stuff.
It's a bit curious that I never see much reference to these transmissions on any of the publicly viewable ham radio forums.
PS -- Thanks for posting that mp3, Sealord. It's a good recording of one of the strangest things I've heard on the shortwaves....
[Edit: Woops. The clip I was referring to was the "7000LSB, 11/17/08, 1330-1400 UTC" one posted by Lex. Got the links confused.]