Thanks for your enquiry.
You are correct in that you have a periodic Tenancy, which basically means that your existing Tenancy (including the rental amount) continues until either of you serve Notice to end the Tenancy, or a new Tenancy agreement is signed.
Therefore your Landlord can't increase the rent until such time as any new Agreement is signed.
If you don't agree on a new Tenancy, then you could give your Landlord one month's Notice, such Notice to end on or before the 4th of the month, stipulating that you wish to end the Tenancy.
Likewise, your Landlord could give you Notice on the same basis but this would have to give you 2 months Notice.
I hope this answers your question, and if so, I would be grateful if you could leave positive feedback.
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