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added 66 characters in body
ElPedro
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#Python 2, 86 80 76 74 bytes

for z in range(24):a='/'*5+'\\'*5;print((a*24+a[::-1]*24)*3)[z*60:z*60+60] 

Could probably golf a few more off it but it's a start.

Edit

Saved 6 by removing some unneeded brackets

Another 4 by using a single string and then reversing it

Thanks @Adnan. Had a late night last night and still not fully awake yet :p

ElPedro
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