Imagine that you are a great artist stranded on a remote island with no horn, just your mouthpiece. Not to stress. You have all you need to get a whole lot accomplished before the next boat arrives with your trumpet. Wait till they hear what has happened to your sound! Here's a free and easy remedy for that grainy fuzzy tone. Who knows? After they hear the results of your having no trumpet, some remote island might become the site for the next worldwide brass convention!
Sorry, nothing profound here, just hopefully a couple of useful and helpful reminders for sound improvement. No need for the horn yet. Let's go first for sirens and songs.
Gently buzz siren-like glissandi, holding the mouthpiece with maximum of three fingers and very little pressure. Produce absolutely clear tones in a very soft dynamic without any fuzz whatsoever. Start in an easy register for comfortable ups and downs while always maintaining purity of tone. Fuzzy lack of center and ghost areas in your register mean you simply need to get better at this.
Increase your range only if you earn an all-clear to proceed. Carelessness with your buzzing guarantees notes without ring or focus, but a pure buzz will produce a pure trumpet tone every time.
When you get to the highest note of your siren, freeze briefly to make sure there is no straining or embouchure collapsing before you slide back down. Avoid pinching and squeezing for the upper sounds. Air speed ought to increase as you ascend. Rest frequently. Reenter on pitch and increase range gradually. Your goal is embouchure comfort and tone center. Keep adding higher and lower notes to your siren range insisting on quality and ease. Don't neglect full breaths.
Remember, less pressure, more tone. Just place mouthpiece and blow. Note response should resemble the piano which speaks as soon as it is touched.
Next you're ready for songs. Still using just the mouthpiece, minimal pressure, and a conservative dynamic, you may pick your tunes of the day. The simpler and the shorter the better. No modulating and no jamming mouthpiece into the embouchure permitted. Pure artistry and amazing effortlessness. Enjoy this. The next boat arrives shortly. Bummer.