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Symmetrical scales

(starting with A)
root (circle) = Root
 
Half step/whole step · Half-diminished scale
half step/whole step scale for guitars (fingerings)
  roman numerals I to XV
 
Whole step/half step · Diminished scale
whole step/half step scale for guitars (fingerings)
  roman numerals I to XV
 
Whole tone scale
whole tone scale for guitars (fingerings)
  roman numerals I to XV
 
Diminished arpeggio
diminished arpeggio for guitars (fingerings)
  roman numerals I to XV
 
Augmented arpeggio
augmented arpeggio for guitars (fingerings)
  roman numerals I to XV
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Fingerings of the symmetrical scale

Symmetrical scales have a strictly regular structure with respect to the intervals between their notes. Expressed as sequences of semitones and whole tones, the following formulas apply:

Half step/whole step   ½ 1   ½ 1   ½ 1   ½ 1  
Whole step/half step 1   ½ 1   ½ 1   ½ 1   ½
Whole tone 1   1   1   1   1   1  
Diminished 1½     1½     1½     1½    
Augmented 2       2       2