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Chords like C/F

I found a nice acoustic song on www.mysongbook.com and was just thinking to try to create a bassline over it[I also added the file, which can be opened with a file called Guitar Pro if any of you should have it; the bassline in it is my pathetic attempt at supporting that tune, so you can mute it ;)]. The thing is, it has some weird chords in it. Well, I'm sure they are actually very common, just that I haven't had a change to familiarize myself with written music yet(If anyone knows a place on the 'net, where I could find easier tunes to practice reading bass clef - that is welcome too).

I got puzzled by this
C/F written on top of a bar. The guitar chord there is xx3010 - so FGCE. I imagine the root for the bassline should be C, but why is that F written there?

There's also a Bm/-5 chord(x20431) which puzzles me even more. -5?

The song is in Cmaj according to the composer. Also the chord progression (1 per bar) goes like this: C G Am F C/F Dm Bm/5- Dm F G Dm Bm/5- C C Am C if that means anything on how to handle these chords. Also, if you have anything else to point out regarding the progression, please do so.

I probably should add that there's another guitar doing melody over this all, but it's a bit too complicated for me to take apart theory-wise I'm afraid.
 
It stands for flat 5. If there's a slash, it's written incorrectly.

Get yourself a theory book that covers chord symbols. You're going to need it.
 
Originally posted by Turock
The key of C has no flats or sharps, the notes are: C, D, E, F, G, A, B. The chords in the key of C are: C, Dm, Em, F, G, Am, Bm-5.
-5 means that the 5th is lowered 1/2 step (the F note in the Bm-5; you would not expect to find F# in the key of C).

Only there's no reference to key. If I see Bm(most likely 7)-5, I'm thinking it's a ii chord in the key of Am.
 
Originally posted by Pacman
Only there's no reference to key. If I see Bm(most likely 7)-5, I'm thinking it's a ii chord in the key of Am.
Perhaps you didn't see a key reference, I saw one quite clearly:
The song is in Cmaj according to the composer. Also the chord progression (1 per bar) goes like this: C G Am F C/F Dm Bm/5- Dm F G Dm Bm/5- C C Am C if that means anything on how to handle these chords. Also, if you have anything else to point out regarding the progression, please do so.
 
By the way, noticing you pointed out it could be Bm7-5 instead I doublechecked the tune. It was indeed written Bm/-5 there. Also the chord was x20431 which isn't a 7 chord from what I can tell, so I think the slash just got lost in there.

As for the progression, it may be odd but it doesn't sound too odd ;)