Chapman and Cutler LLP 111 West Monroe Street Chicago, Illinois 60603 September 18, 2017 Mr. Edward Bartz Division of Investment Management Securities and Exchange Commission 100 F Street, N.E. Washington, DC 20549 Re: Guggenheim Defined Portfolios, Series 1664 European High Dividend Portfolio, Series 9 File Nos. 333-219894 and 811-03763 -------------------------------------------------------------------------------- Dear Mr. Bartz: This letter is in response to your comments given during a telephone conversation with our office regarding the registration statement on Form S-6 for Guggenheim Defined Portfolios, Series 1664, filed on August 11, 2017, with the Securities and Exchange Commission (the "Commission"). The registration statement proposes to offer the European High Dividend Portfolio, Series 9 (the "Trust"). PROSPECTUS Investment Summary -- Security Selection 1. In Item No. 3, please state the market capitalization range for small capitalization companies according to the Russell Global Index Methodology. Response: The registration statement has been revised in accordance with this comment. Investment Summary -- Hypothetical Performance Information 2. In the Hypothetical Comparison of Total Return, please delete data related to the years 2000-2006. Response: The sponsor has standardized its hypothetical performance disclosure across its unit investment trusts to show the performance of the trusts from 2000 to the present year whenever such information is available. The sponsor believes this allows investors to compare the performance across trusts using the same time periods and provides them with information for a multitude of economic cycles. As a result, the sponsor respectfully declines to revise the prospectus to remove the data related to years 2000-2006. 3. Please identify the party who calculated the hypothetical performance data. Response: The registration statement has been revised in accordance with this comment. 4. Please confirm the following: a. The Trust maintains the books and records of the information that substantiates the back-tested performance. b. The Trust has adopted policies and procedures as required by Rule 38a-1 under the Investment Company Act of 1940 (the "Act") designed to prevent the Trust from violating Section 34(b) of the Act when the Trust discloses back-tested performance. Response: The sponsor confirms that it: (a) maintains the books and records of the information that substantiates the back-tested performance; and (b) has adopted policies and procedures as required by Rule 38a-1 under the Act designed to prevent the Trust from violating Section 34(b) of the Act when the Trust discloses back-tested performance. We appreciate your prompt attention to this registration statement. If you have any questions or comments or would like to discuss our responses to your questions, please feel free to contact the undersigned at (312) 845-3484. Very truly yours, CHAPMAN AND CUTLER LLP By /s/ Morrison C. Warren ------------------------- Morrison C. Warren