FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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(Print or Type Responses)

1. Name and Address of Reporting Person * ALPINE CAPITAL LP   2. Issuer Name and Ticker or Trading Symbol MESA ROYALTY TRUST/TX [MTR] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director __X__ 10% Owner _____ Officer (give title below) _____ Other (specify below) (Last) (First) (Middle) 201 MAIN ST STE 3100,  3. Date of Earliest Transaction (Month/Day/Year) 12/06/2004 (Street) FORT WORTH, TX 76102 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) ___ Form filed by One Reporting Person _X_ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Units of Beneficial Interest 12/06/2004   S   2,000 (1) D $ 68 231,366 D (1) (2)   Units of Beneficial Interest 12/06/2004   S   2,550 (1) D $ 68.05 228,816 D (1) (2)   Units of Beneficial Interest 12/07/2004   S   1,500 (1) D $ 68.05 227,316 D (1) (2)   Units of Beneficial Interest 12/07/2004   S   200 (1) D $ 68.02 227,116 D (1) (2)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
ALPINE CAPITAL LP 201 MAIN ST STE 3100 FORT WORTH, TX 76102		X
ALGENPAR INC 201 MAIN ST STE 3100 FORT WORTH, TX 76102		X
CRANDALL J TAYLOR 2775 SAND HILL RD SUITE 220 MENLO PARK, CA 94025		X
BRUCE ROBERT W III 201 MAIN STREET STE 2500 FORT WORTH, TX 76102		X

Signatures

/s/ Robert W. Bruce III, Manager - Alpine Capital, L.P.		12/08/2004
**Signature of Reporting Person		Date
/s/ J. Taylor Crandall, Algenpar, Inc.		12/08/2004
**Signature of Reporting Person		Date
/s/ Robert W. Bruce III		12/08/2004
**Signature of Reporting Person		Date
/s/ J. Taylor Crandall		12/08/2004
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	J. Taylor Crandall ("Crandall") is the President and sole stockholder of Algenpar, Inc., a Texas corporation ("Algenpar"), which is one of two general partners of Alpine Capital, L.P., a Texas limited partnership ("Alpine"), which is the direct beneficial owner of certain of the securities reported herein. Robert W. Bruce III ("Bruce") is the other general partner of Alpine.
(2)	Pursuant to Rule 16a-1(a)(2)(ii)(B) under the Securities Exchange Act of 1934, as amended (the "Act"), Crandall, Algenpar and Bruce are deemed to be beneficial owners of the shares beneficially owned by Alpine only to the extent of the greater of his or its respective direct or indirect interest in the profits or capital account of Alpine. Pursuant to Rule 16a-1(a)(4) under the Act, this filing shall not be deemed an admission that Bruce, Crandall or Algenpar is, for purposes of Section 16 or the Act or otherwise, the beneficial owner of any securities owned by Alpine in excess of such amount.

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