"Divide Measured Tremolo" Should Affect Playback

Issue type

UX/Interaction bug (incorrect behaviour) & playback & engraving

Description with steps to reproduce

1. Put any note.

• Problem 1 (playback):

2. Put a tremolo (any) to this note.
3. Put "Divide the tremolo of one note by [2, 3, 4, or 6]"
   Actual result: the tremolo is not divided by the number specified in the third point.
   Expected result: the tremolo should be divided.

• Problem 2 (interaction):

2. Put "Divide the tremolo of one note by [2, 3, 4, or 6]"
   Actual result: this sign is put to the note, although it does not have a tremolo, but the note does not change in any way.
   Expected result: this sign cannot be put in this case.

• Other issues logged seperately

• Problem three (engraving): https://github.com/musescore/MuseScore/issues/28711

2. Set "Split single note tremolo into [2, 3, 4, or 6]"
   Actual result: in some cases this sign overlaps the note itself.
   Expected result: this should not happen.

• Problem four (engraving/interaction): https://github.com/musescore/MuseScore/issues/28712

2. Set "Split single note tremolo into [2, 3, 4, or 6]"
3. Set "Split single note tremolo into [2, 3, 4, or 6]" again
   Actual result: two signs overlap each other and sometimes the note itself.
   Expected result: this should not happen. (Can't you give the option to put two of these signs?)

• Problem 5 (interaction/visual): https://github.com/musescore/MuseScore/issues/28713

2. Put "Split tremolo of one note into [2, 3, 4 or 6]"
3. Try putting another note somewhere.
   Actual result: when you put another note, the "Split tremolo of one note into [2, 3, 4 or 6]" sign appears. While you are putting the note, the dots diverge somewhere, they are duplicated, you can draw with them!!!, but when you put them, the dots come together. In order to get rid of this curse, you just need to select the note (not the tremolo split sign). In the new version you can draw with dots much more than in the nightly builds.
   Expected result: this should not happen.

Supporting files, videos and screenshots

https://github.com/user-attachments/assets/b32d1a37-b194-4b72-bd6a-9ea5cb1b3174

Divide the tremolo of one note by.zip

What is the latest version of MuseScore Studio where this issue is present?

OS: Windows 10 Version 2009 or later, Arch.: x86_64, MuseScore Studio version (64-bit): 4.5.2-251141402, revision: github-musescore-musescore-ac9d3bc and master

Regression

I was unable to check

Operating system

Windows 10

Additional context

I'm not sure at all about what these signs are for and whether they actually exist. I would be very grateful if I could see a real use for such signs.

Checklist

• This report follows the guidelines for reporting bugs and issues
• I have verified that this issue has not been logged before, by searching the issue tracker for similar issues
• I have attached all requested files and information to this report
• I have attempted to identify the root problem as concisely as possible, and have used minimal reproducible examples where possible