The fastest way to improve a piano transcription is to decide what kind of difference you are hearing before changing notes. A wrong pitch, an extra attack and a note held too long require different edits. Work on one phrase and one problem at a time.
Use the piano music notation editor for the corrections. If you have not generated the notes yet, begin with piano transcription.
Establish a reference phrase
Choose two or four bars that you can recognise in the recording. Listen without editing, count the pulse and identify the melody's important notes. Then play the transcription and describe the difference in plain terms: a chord sounds too dense, a note repeats too soon, or the bass stops before the next change.
A clear description gives the edit a purpose. Moving several notes because the page looks busy can introduce a new problem without resolving the one you heard.
Fix pitches before small timing details
Follow the melody first. A wrong melody pitch is often easy to hear because it changes the line's direction or its relationship with the chord. Check the bass next, then listen to the inner chord tones.
When a note sounds wrong, compare its octave as well as its name. C3 and C4 belong to the same pitch class but play different roles in an arrangement. A bass note in the wrong register can make the whole phrase feel different.
Remove an extra note only after checking that it is not part of another voice. A sustained accompaniment can continue beneath a changing melody without being an error.
Inspect repeated notes and overlaps
Switch to MIDI view to examine note starts and ends. Two repeated notes should have distinct attacks when the performance plays them separately. If one long event spans both attacks, adjust the phrase to represent the repetition you intend to play.
The opposite problem is an unnecessary extra attack inside a sustained sound. Listen to the recording's articulation before deciding whether to merge or shorten events. Pedal resonance can continue after a key has been released, so the audible tail is not always the written note length.
Check the bar structure
Count through the phrase and look at where the downbeats fall. If the entire passage appears displaced, first check whether you included a pickup or silence at the beginning. A local note edit will not solve a misunderstanding about the start of the phrase.
A passage may also be counted at half or double the tempo with different written note values. Decide how the piece should be counted before using a tempo-scaling action. Use practice playback speed when you simply want to rehearse more slowly.
Make the notation readable
Once the pitches and rhythm are clear, inspect the treble and bass staves as a player. Follow each musical layer through the bar. Keep repeated figures consistent and check that rests explain the spaces in the phrase.
Do not force every tiny performance variation into a more complicated written rhythm. The score should communicate the arrangement you mean to practise. Listening and readability need to agree.
Confirm the edit in context
Play from a little before the corrected passage to a little after it. An edit that works on its own may change the transition into the next chord. Save a useful version before continuing to another section.
Open the piano editor, or compare piano roll and music notation when choosing the best view for a correction.