A scale is a gradual sequence of sounds disposed in order of tones and semitones, and it is given out by a succession of six ascending perfects. On Wikipedia website it is defined as a sequence of ascending or descending sounds (notes or frequencies) involved within an octave.
Among the best known, there is the diatonic scale, which is made up of seven of the twelve notes making up the chromatic scale, following one another according to a specific succession of seven intervals, five tones and two semitones. Actually, the diatonic scale major mode has to run the following outline:
I II III IV V VI VII I (VIII)
Tone Tone Semitone Tone Tone Tone Semitone
This scheme can be applied starting from any note. For example, starting from C and respecting the tonal intervals between two notes, it is possible to build a C major scale. Ex.:
C D E F G A B Ctone tone semitone (tone) tone tone semitone
Right hand: C, D and E are to be executed by #1, #2, #3 fingers respectively. After this, we have the thumb passing forward to play F. The rest of the notes up to C are to be touched by next fingers, each for every note after F (G-2, A-3, B-4, C-5).
After getting the point of C, you play the scale backwards, specular to the outward. Once reached F with #1 finger, you must pass forward the middle finger to hit E. So we have the forefinger (#2) and the thumb ready to hit D and C.
By the left hand we have the passage from G to A with the third finger (forefinger) and then you’re back from A to G with the thumb passage.
Unfortunately, saying is one thing and doing is another. As soon as I can, I am going to quote a video showing how to play the scale (forgive me if I didn’t do it yet).