How to restore iTunes library from TimeMachine external hard drive backup after clean install

Question

I was not able to solve this problem, hence I decided to open this discussion.
1. Recently, I clean installed Yosemite so my new Mac is completely empty.
2. I have my time machine backup on my eternal hard drive and would like to restore only specific things - such as iTunes library.
3. I did not manually copy iTunes library to my drive, I did the TM backup only, but I also do have all the files in my own "music" folder I manually backed-up.
However, I cannot locate the library there, where is it?
How do I move the library to my new Mac and then establish a new source folder that would be on my drive?
PS: Previously, iTunes used my own music folder as a source = it contained all the music files. I had it on an external drive, later moved it to my Mac.
This leads me to the conclusion that my backup copy of iTunes library did not contain the files anyway.
Any advice?
Thank you in advance.

Answer 1

I am confused as to what you had or have where and when.  The bottom line is, your library (for the standard user) is everything in the iTunes folder.  As far as iTunes' organization and display is concerned, your library is a file called "iTunes Library.itl" which points to all the other host of files and folders normally in the iTunes folder which all work together.
What are the iTunes library files? - http://support.apple.com/kb/HT1660
More on iTunes library files and what they do - http://en.wikipedia.org/wiki/ITunes#Media_management
What are all those iTunes files? - http://www.macworld.com/article/139974/2009/04/itunes_files.html
Where are my iTunes files located? - http://support.apple.com/kb/ht1391
iTunes 9 [and later]: Understanding iTunes Media Organization - http://support.apple.com/kb/ht3847 - plus supplemental information about organizing to new structure https://discussions.apple.com/message/26404702#26404702
Image of folder structure and explanation of different iTunes versions (turingtest2 post) - https://discussions.apple.com/docs/DOC-7392 and making an iTunes library portable.
If you kept everything together in one place then you need to put the whole iTunes folder on the drive where you want it, start iTunes while holding down the option key and guide it to that .itl file.  If things were split up and you had media on the external and the rest of the library on the internal you need to get them back to exactly where they were before.  If you can't find that iTunes folder holding the critical .itl file anywhere then you have a bunch of media tracks and no organization and will need to rebuild the organization from ground level.