You are trying to find simplistic answers to a relatively complex subject. At the very least you should go to a music store and purchase a beginning piano book or a beginning music book for children or adults and study the basics of how music is notated.
By way of example, I do not think you would be successful at writing a computer program to display Chinese calligraphy on a computer screen if you were completely ignorant of how brush strokes are used in Chinese characters, and you thought you could accomplish the task without learning the basics of Chinese brush strokes.
Read a book or consult with a piano teacher.
And with regard to your diagram, you have failed to distinguish which octaves your 25 pitches are located in. This must be designated by the correct clef signsclef signs and ledger lines. Furthermore, piano music is notated on twotwo staves, not one. Here is an example.