Symmetrical scales

(starting with A)
 
Half step/whole step
half step/whole step scale for guitars (intervals)
  roman numerals I to XV
 
Whole step/half step
whole step/half step scale for guitars (intervals)
  roman numerals I to XV
 
Whole tone
whole step scale for guitars (intervals)
  roman numerals I to XV
 
Diminished
diminished scale for guitars (intervals)
  roman numerals I to XV
 
Augmented
augmented scale for guitars (intervals)
  roman numerals I to XV
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Theory