Most people having a peeep tone tinnitus including myself can experience complete silence for a few seconds (up to 30) by listening to a tone at the specific frequency of their Tinnitus.
For example listen to the following, at a level that it isn't uncomfortable and your Tinnitus might be gone for a short time: https://www.youtube.com/watch?v=qNf9nzvnd1k
This is called residual inhibition.
You can Google "tinnitus residual inhibition" and find many papers about it.
Benzodiazepines work also very well in some cases, when taking them I have no Tinnitus at all, but that's ABSOLUTELY NOT a viable long term solution because of the long term negative effects.
I am not sure about this paper, but what I've read and believe the most is that the Tinnitus is caused by neurons in the brain, that have lost nerve input signals from the ear (due to hearing loss, nerve damage etc..), and start to emit parasite signals.
Benzodiazepines reduce the brain activity thus reducing/silencing the tinnitus. Residual inhibition seems to work by stimulating the region where the hearing loss has occurred, the neurons responsible for the Tinnitus all the sudden get stimulated and stop emitting noise signals for a few dozens of seconds then resume. But so far there is still a lot of research to be done and we are decades away from a cure that is SAFE enough. Benzos work but are just not worth it, this is like fighting back pain with opoids.
Until then I think it is best to protect our hearing, you can buy custom made earplugs which are comfortable to wear, last about 5 years and cost around 200 USD. I use them when I am in loud environments like on an air plane, train, at a bar etc...
Also it is best not be in completely silent environment as this is where you will notice the Tinnitus.
When listening to music with headphones it is important to take regular breaks and not to push the volume too high to give your ears some rest.
Edit: Last advice, don't try to listen to your tinnitus, but focus on other noises/sounds, if you are listening to the Tinnitus you are telling your brain that the signal is important, when you should be telling it, that it isn't.