There are 3 symmetrical scales.
Chromatic, Diminished & Whole Tone.
The Major, Harmonic Minor and Melodic Minor are asymmetrical as are the Major and Minor Pentatonic.
There is a great deal of misunderstanding about how scales relate to learning an instrument. Scales are primarily a device to train a beginner how to develop dexterity and how to locate the notes in each key. Ask anyone who has ever had piano lessons. They first learn the 5 finger pattern in C. Then they add the rest of the scale and learn to play Mary Had a Little Lamb orTwinkle,Twinkle Little Star.
Modern rock is predominantly a scalar music. You can learn to play a lot of rock with pentatonic & diatonic scales. But if you ever decide to move into other types of music, scales won't cut it. Neither will modes.
The information needed to improvise competently and intelligently is found in scales but is not the scale itself.
Regards,
Monk
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