In my quest for better intonation, I got a bit crazy idea of doing scale and like to share it, as per some members suggestions, namely RosinedUp, Kiara, and DanielB (who also were the testees of doing the scale) to share it as they could give some opinion, feedback, input.
It will be a real short version, as I would ask those members to give more suggestions and inputs. IMHO, there is a weak/missing link in intonation recognition/adjustment in beginner's violin playing, myself included, that would be better/well formed to those more advanced/long time players.
My analyzing of violin pitch correction for better intonation came up with 3 phases in the following order, ear/brain pitch recognition, pitch comparison/brain order of required correction and actual mechanical motion adjustment to acquire the correct pitch of the playing note.

While the actual finger motion adjustment will be acquired with lot of practice, the other two phases could be trained to achieve the goal faster, ie active pitch recognition and active correction. So here is my scale test/exercise.

Let's assume that you're the testee of this, and let say we are working on E minor scale, for example. You got a minute or so to recital the scale, any way you wish, and try to memorize the note pitches. With that, next is to play the tonic, E on D to establish a frame of reference (during the exercise, you can come back to the tonic at any time you wish if needed and we are in first position). From here on, all notes are to be played in random access order, within the notes of the scale, of course, avoid sequential notes as much as you can. The more unfamiliar random notes will be the better, as not to resemble a tune/melody, to force the brain to guess/judge the different intervals.
Pick a finger and a string to play a note, any way you wish. Here comes the fun part of it, before the finger touches down, you are to sing/hum that note pitch, either out loud or mentally done. So you're humming/singing along (a bit ahead) of the playing notes, and you can check if you humming and playing pitch against your tuner if it's available, as a double error checking/correction.

You can alternately start with the normal up/down scale to get a feel for it, but randomly access is better to force the ear/brain to guess/estimate those intervals. It also serves as a ear/brain pitch training, a mapping of sounds to finger positions, as in sight reading the fingerboard, knowing ahead what pitch would be expected hence more active preparation of pitch correction requirement if needed, which can benefit intonation, improvisation, ear playing.

It doesn't have to be E minor, if start on G instead then it would be G major instead, same pitch classes, different starting point. I pick the E minor, just for convenience, but key signature of one sharp, with its popular modes of G major, E minor, and A dorian are the most "native" of violin "native key sets", which mean that tunes played in those keys sounded better and richer vs transposing the same tune to other less native keys, due to more resonant harmonics sympathetic vibration producing by open strings adding to the total sound/voice of the violin by its particular tuning of fifth selection (we can start another topic of discussion for this).

I was advised to have more input/suggestion by RosinedUp and Kiara before posting, so I'm surely asking for reply/input, as they are the testees and should have more additional info/explanation to my simple version.

I'm now upgrading to crazy rebel, so thank you for bearing it with me this far, and of course, your input, feedback, and advise are all welcome.

Thanks all,

Robert