GA PILOT REPORTS DEPARTING FROM WRONG RWY WHEN CLEARED FOR TKOF FROM INTERSECTION OF RWYS 13 AND 17 AT GGG.

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FROM THE TERMINAL BUILDING AT GGG; I PICKED UP MY IFR CLRNC AND RECEIVED PROGRESSIVE TAXI INSTRUCTIONS TO EXPECT AN INTXN TKOF AND TO TAXI TO RWY 17 VIA TXWY H FROM THE TERMINAL BUILDING. GND CTL ASKED ME TO STOP AT THE HOLD SHORT LINE TO PREPARE FOR MY DEP. I CONTACTED THE TWR AND WAS CLRED FOR AN INTXN (AT TXWY H) DEP ON RWY 17. THE INTXN WHERE I WAS ASKED TO HOLD SHORT CONTAINS 2 RWYS IN ADDITION TO TXWY H. WHEN I WAS CLRED FOR TKOF; I TAXIED ONTO THE RWY AND DEPARTED. ONCE I WAS ON THE TKOF ROLL I REALIZED THAT MY HDG INDICATOR DID NOT AGREE WITH THE HDG WHICH WOULD INDICATE I WAS ON RWY 17 AND THAT I MUST HAVE DEPARTED ON RWY 13. DUE TO THE FACT THAT I DEPARTED AT AN INTXN; NO RWY NUMBER WAS VISIBLE ON THE RWY. THERE WERE NO OTHER ACFT LNDG OR DEPARTING FROM THE ARPT AT THE TIME AND NO CONFLICT OR COMPROMISE IN TFC SEPARATION OCCURRED. I CONTACTED THE TWR AND ASKED ABOUT MY DEP ON RWY 13 INSTEAD OF RWY 17 AND ASKED IF I NEEDED FOLLOW-UP WITH THEM ON ANYTHING. THE TWR SAID THAT THEY THOUGHT THAT I MIGHT HAVE TAKEN OFF FROM THE WRONG RWY. AT THAT POINT THE TWR ASKED ME TO CONTACT DEP AS I LEFT ARPT AREA. CHAIN OF EVENTS: THE ISSUE AROSE AS I RECEIVED PROGRESSIVE TAXI INSTRUCTIONS TO AN INTXN WHERE 2 RWYS (RWY 13 AND RWY 17) AND MY ASSIGNED TXWY INTERSECT WITHIN THE FIRST 1/3 OF THE RWYS. I WAS CLRED TO TAKE OFF FROM THAT INTXN POS AND MISTAKENLY DEPARTED RWY 13 INSTEAD OF RWY 17. IN ORDER FOR ME TO TURN ONTO RWY 17 (MY ASSIGNED RWY) FROM MY POS; I WOULD HAVE HAD TO MAKE A 130 DEG R-HAND TURN. INSTEAD; I MADE A 90 DEG TURN ONTO RWY 13. CONTRIBUTING FACTORS: I SHOULD HAVE REVIEWED THE ARPT DIAGRAM PRIOR TO TAXI AND I SHOULD HAVE CHKED MY HDG INDICATOR PRIOR TO TURNING ONTO THE RWY AND AGAIN ONCE I WAS ON THE RWY. ANOTHER FACTOR; PERHAPS; WAS THE CHANGE TO A DIFFERENT CTLR DIRECTING ME IN THE TWR FROM THE TIME I STOPPED AT THE HOLD SHORT LINE TO THE TIME I WAS CLRED FOR TKOF. NIGHTTIME OPS MADE VISUAL DISCERNMENT OF THE INTXN MORE DIFFICULT. DISCOVERY OF THE EVENT: I DISCOVERED MY MISTAKE BY NOTING MY HDG INDICATOR DURING THE TKOF ROLL. CORRECTIVE ACTIONS: IN ORDER TO PREVENT THIS ISSUE FROM OCCURRING AGAIN; I WILL REVIEW MY ARPT DIAGRAM; ASK FOR CLARITY IF I AM UNCERTAIN OF MY LOCATION OR INSTRUCTIONS; NOTE ANY RWY MARKINGS OR SIGNS AND CAREFULLY WATCH MY HDG INDICATOR AS I AM READY TO ENTER A RWY TO MAKE SURE IT MAKES SENSE. PERCEPTIONS; JUDGEMENTS; DECISIONS: I RELIED TOO MUCH ON THE PROGRESSIVE TAXI INSTRUCTIONS AND NOT ENOUGH ON THE ARPT DIAGRAM AND MY OWN OBSERVATIONS. FACTORS AFFECTING THE QUALITY OF HUMAN PERFORMANCE: OVERCONFIDENCE AND UNREASONABLE EXPECTATIONS IN THE TWR STAFF IN PROVIDING DETAILED INFO WITHOUT MY INITIAL REVIEW OF THE SITUATION OR ARPT DIAGRAM. ACTIONS OR INACTIONS: MY INACTION REGARDING REVIEW OF THE ARPT DIAGRAM PRIOR TO TAXI AND MY LACK OF REVIEW OF MY HDG INDICATOR PRIOR TO XING THE HOLD SHORT LINE.