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T1 vs T3 | What is the difference between T1 and T3 | T1 vs T3 Speed

Cost and speed are the most significant differences between a T1 and a T3 line. 
"The most significant differences between T1 lines and T3 lines are cost and speed. The typical T1 connection costs approximately $800 per month while a T3 connection can cost as much as $15,000 per month. T3 lines are extremely high bandwidth connections into a carrier's backbone. They typically include SLAs (Service Level Agreements) that guarantee uptime and performance."  (Luba Yelovich-Sakharuk, "Performance of a T3 link," CS 577  Term Project, Worcester Polytechnic Institute, Department of Computer Science, Email: cs@wpi.edu, 100 Institute Road, Worcester, Massachusetts 01609-2280, 508-831-5357, Spring 2005, p. 9)

A T-3 line is faster and more expensive than a T-1 line. 
“A T-carrier line is any of several types of digital lines that carry multiple signals over a single communications line.  Whereas a standard dial-up telephone line carries only one signal, digital T-carrier lines use multiplexing so that multiple signals can share the telephone line.  T-carrier lines provide extremely fast data transfer rates.  The most popular T-carrier line is the T-1 line.  Businesses often use T-1 lines to connect to the Internet.  A fractional T-1 line is a less expensive albeit slower connection option for home owners and small businesses.  Instead of a single owner, a Fractional T-1 is shared with other users.  A T-3 line is equal in speed to 28 T-1 lines.  T-3 lines are the most expensive connection method.  Main users of T-3 lines include large companies, telephone companies, and service providers connecting to the Internet backbone.” (Gary B. Shelly, H. Albert Napier, Ollie Rivers, "Ways to Access the Internet and Web," Web Design: Introductory Concepts and Techniques, 2 edition, December 1, 2005, p. 13)

What is the difference between a DS3 (or DS1) and a T3 (or T1)? 
A Digital Signal Level 0 (DS0) has a speed of 64 Kb/s.  It is internal to equipment.  A Digital Signal Level 1 (DS1) has a speed of 1.544 Mb/s.  Is is used in intra office applications only (600 ft limit).  A Digital Signal Level 3 (DS3) has a speed of 45 Mb/s.  It is used in intra office applications only (600 ft limit).  T1 Electrical (Copper) version of DS1.  It has a speed of 1.544 Mb/s.  It is a repeatered version of DS1 sent out of a Central Office. T3.  Electrical (Copper) version of DS3.  It has a speed of 45  Mb/s.  It is a repeatered version of DS3 sent out of Central Office.  See table on slide 6 of presentation for original view of the data. (Shivkumar Kalyanaraman, Dept. of ECSE , Rensselaer Polytechnic Institute, “IP over Optical Transport Networks: IP/OTN,” Slide Set 13, Lectures for ECSE-6660: Broadband and Optical Networks, Spring 2003, Electrical, Computer, and Systems Engineering Department, Rensselaer Polytechnic Institute, Troy, New York 12180-3590, Spring 2003, April 26, 2004, Slides 5 and 6)