That is the law in many states, however Ohio is different. The notice must be given 30 days before the "periodic rental date" i.e., the day rent is due.
Tracey
Section 5321.17
General Assembly: 118.
Bill Number: Amended Sub. S.B. 258
Effective Date: 8/22/90
(A) Except as provided in division (C) of this section, the landlord or the tenant may terminate or fail to renew a week-to-week tenancy by notice given the other at least seven days prior to the termination date specified in the notice.
(B) Except as provided in division (C) of this section, the landlord or the tenant may terminate or fail to renew a month-to-month tenancy by notice given the other at least thirty days prior to the periodic rental date.
(C) If a tenant violates division (A)(9) of section 5321.05 of the Revised Code and if the landlord has actual knowledge of or has reasonable cause to believe that the tenant, any person in the tenant's household, or any person on the residential premises with the consent of the tenant previously has or presently is engaged in a violation as described in division (A)(6)(a)(i) of section 1923.02 of the Revised Code, the landlord shall terminate the week-to-week tenancy, month-to-month tenancy, or other rental agreement with the tenant by giving a notice of termination to the tenant in accordance with this division. The notice shall specify that the tenancy or other rental agreement is terminated three days after the giving of the notice, and the landlord may give the notice whether or not the tenant or other person has been charged with, has pleaded guilty to or been convicted of, or has been determined to be a delinquent child for an act that, if committed by an adult, would be a violation as described in division (A)(6)(a)(i) of section 1923.02 of the Revised Code. If the tenant fails to vacate the premises within three days after the giving of that notice, then the landlord promptly shall comply with division (A)(9) of section 5321.04 of the Revised Code. For purposes of this division, actual knowledge or reasonable cause to believe as described in this division shall be determined in accordance with division (A)(6)(a)(i) of section 1923.02 of the Revised Code.
(D) This section does not apply to a termination based on the breach of a condition of a rental agreement or the breach of a duty and obligation imposed by law, except that it does apply to a breach of the obligation imposed upon a tenant by division (A)(9) of section 5321.05 of the Revised Code.
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This is not legal advice and you are not my client. Double check everything with your own attorney and your state's laws.
