From your last three posts, there are some issues we can remedy that will help.
First, you must increase your water changes. Frequency should be once a week, no less, and the volume should be at least half the tank, say 50-70%. Assuming the parameters (GH and temp especially) are reasonably the same, there is no detriment to larger water changes, quite the reverse. This is a good way to reduce dissolved organics which feed algae, plus it will significantly improve your fishes' health. Clean into the open areas of the substrate at each, and keep the filter well rinsed to again avoid buildup of organics. It is true that organics feed plants, but here the algae is clearly benefiting and that must be curtailed.
Second issue, the light. With T8 fluorescent you have some good options. Given this is a 29g, I will assume the tube is a 24-inch T8? Which is 20 watts. This will work, with a good tube. I have two 29g tanks and I use the Hagen Life-Glo T8 tube. It is without question one of if not the best single-tube lights you can get in T8.
Also on the light, 7 hours is fine but it needs to be consistent, in one period. This is for the fish more than plants/algae. Fish have a circadian rhythm as do all animals, and it is sensitive to and driven by light. Having two "daylight" periods is stressful. I know this is frequently recommended to control algae, but the fish are more important. The seven hour continuous period can be any time you prefer, obviously best when you are normally home to enjoy the aquarium. Make sure the room is not in total darkness when the tank light comes on and when it goes off; ambient light whether daylight or artificial is crucial to avoid shocking the fish. And make sure there is a continuous period of several hours each 24-hour period of total and complete darkness. No daylight, no room lights. Utter blackness.
I assume you are not using any plant additives/fertilizers. This might or might not help, depending. A photo of the entire tank would help as it will show the extent of the plants and fish.