UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                              WASHINGTON, DC 20549

                                    FORM 8-K

                                 CURRENT REPORT
                     Pursuant to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934

Date of report (Date of earliest event reported): September 23, 2008

                       Morgan Stanley Spectrum Select L.P.
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             (Exact Name of Registrant as Specified in Its Charter)

         Delaware                    0-19511                13-3619290
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(State or Other Jurisdiction       (Commission            (IRS Employer
     of Incorporation)             File Number)          Identification No.)

c/o Demeter Management Corporation,
522 Fifth Avenue, 13th Floor, New York, NY                     10036
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(Address of Principal Executive Offices)                     (Zip Code)

Registrant's telephone number, including area code: (212) 296-1999


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          (Former Name or Former Address, if Changed Since Last Report)

      Check the appropriate box below if the Form 8-K filing is intended to
simultaneously satisfy the filing obligation of the registrant under any of the
following provisions (see General Instruction A.2. below):

      |_| Written communications pursuant to Rule 425 under the Securities Act
(17 CFR 230.425)

      |_| Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17
CFR 240.14a-12)

      |_| Pre-commencement communications pursuant to Rule 14d-2(b) under the
Exchange Act (17 CFR 240.14d-2(b))

      |_| Pre-commencement communications pursuant to Rule 13e-4(c) under the
Exchange Act (17 CFR 240.13e-4(c))



Item 8.01. Other Events.

      Demeter Management Corporation, the general partner of the Registrant and
each of the four other Spectrum Series partnerships (the "General Partner"),
will terminate the offering of units of limited partnership of the Registrant,
Spectrum Technical, Spectrum Strategic, Spectrum Global Balanced, and Spectrum
Currency after the November 30, 2008 monthly closing. As a result, effective
December 1, 2008, the General Partner will no longer accept any subscriptions
for new investments in any of the Spectrum Series of partnerships nor any
exchanges into any Spectrum Series partnership, including exchanges among the
partnerships.

      While no subscriptions or exchanges for the Spectrum Series partnerships
will be accepted after the November 30, 2008 closing, the General Partner will
continue to operate the partnerships and the partnerships' trading advisors will
continue to trade the partnerships' assets in accordance with the terms of their
respective management agreements. The management fees and incentive fees payable
by each partnership to its trading advisors and the brokerage fees payable to
Morgan Stanley & Co. Incorporated will remain the same. Investors in the
Spectrum Series partnerships will continue to be able to redeem units of the
partnerships at any month-end closing subject to the terms, conditions and
charges set forth in the Spectrum Series prospectus dated May 1, 2008. Investors
will continue to receive monthly and annual reports as they have in the past,
and the partnerships will continue to file periodic reports with the Securities
and Exchange Commission, as required under the Securities Exchange Act.

      As a result of the termination of the offering, the General Partner will
terminate the escrow agreement with The Bank of New York and the selling
agreement with Morgan Stanley & Co. Incorporated following the November 30,
2008, monthly closing.



                                    SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned hereunto duly authorized.

                                MORGAN STANLEY SPECTRUM SELECT L.P.

Date: September 23, 2008        By:  Demeter Management Corporation
                                     as General Partner

                                   /s/ Walter Davis
                                -------------------------------------
                                Name:  Walter Davis
                                Title: President