I've finally found the answer to my own question drawing on the authority of 'velospec'. The same applies to the LH STI in the 105 (ST-5510): " is compatible with both double and triple 9-speed systems ".
AccountantPete please note for information.
http://velospec.com:8080/en/components/shimano/st4400
Component specification:
Manufacturer: Shimano
Model Name: Tiagra (ST-4400)
Weight: 490 g
Information Source: http://cycle.shimano-eu.com
Information
The Dual Control Lever allows for shifting and braking from the same hand position on the bike. ST-4400 is compatible with both double and triple 9-speed systems
- 9-Speed Shifting with STI precision
- 9-Speed RAPID FIRE Plus Shifting
- FLIGHT DECK Compatible
Model No.: ST-4400
Optical gear display: No
Rear: 9-speed
Front: double/triple
FLIGHT DECK: compatible: SM-6501/6500-RS
Gear sensor: Yes
Max. Single-Stroke Shifts: 3 (rear)*
Handle Bar Diameter: 23.8-24.2mm
Bracket: engineering plastic
Levers: aluminum/painted
Super SLR: Yes
Shift Cable Casing: SIS-SP40
Shift Cable: stainless
Average Weight: 490g (pair)
* except downshifts to bottom gear