I am not sure about BSE, But in NSE monthly expiries open 3 months before, So If you buy an expiry which is little less than 3 months from now, then you call it as that you have bought a 3 month expiry. If the same thing you thought this is not the right time and wait for another 2 months and buy then, then you could call it a 1 month expiry since only little less than 1 month is left out.
But that particular expiry contract will have history of total 3 months after which it will cease to exist.
So what I am trying to tell is whether it is a 2 week expiry or 1 week expiry is based on how many days left out for expiry.
Again someone correct me if I am wrong!