DIMINISHED SCALE:

Diminished scales, as with the augmented scales above, ascend and descend in equal interval steps from a root to the octave and by doing so, also shift the notion of key-centre from one tone to the next. Several variations of equal interval stepping for diminished scales and the diminished arpeggio are shown in the diagram below. Notice that the Dim. 8 Tone and Dim. 7th are the same scale and are the same as the whole-tone half-tone "W-T H-T" scale (see Tone scales below), the ½ Dim. (Locrian) is the same as the locrian mode and the diminished is the same as the W-T H-T #2 tone scale below.

                     1     2     3  4     5     6     7  1
                     C_____D_____E__F_____G_____A_____B__C
                                              (B--)
                    |-----Equal Interval Steps -------|
                      S   T    S    T   S   T    S    T
Diminshed -          C D-     E- E     F# G     A  B-    C     (8 Tone)
 
                    |------Equal Interval Steps--------|
                        T   S    T   S   T    S    T   S
Dim. 8 Tone -        C    D   E-    F G-    A-  A     B  C     (8 Tone)
Dim. 7th -           C    D   E-    F G-    A-  A     B  C     (8 Tone)

                      S   T      T   S   T     T      T
½ Dim. (Locrian) -   C D-     E-    F G-    A-     B-    C     (7 Tone)
Locrian (Cm7 -5) -   C D-     E-    F G-    A-     B-    C     (7 Tone)

                       T    S    T   S   T     T      T
½ Dim. #2 (Loc. #2)- C    D   E-    F G-    A-     B-    C     (7 Tone)

                     |Tetrachords In Equal Interval Steps|
                     |-------------||-----------------|
                      S   T    S   T     T      T     T
Dim. Whole Tone -    C D-     E- E    F#    G#     B-    C      (7 Tone)

                     |--Equal Interval Steps ----------|
                        3         3        3         3
Dim. 7 Arpeggio -    C        E-      G-       A(b--)    C      (4 Tone)


			DIMINISHED CHORD SPELLING
                    C______D______E___F______G______A______B___C______D______E___F______G
C Dim. 7 -        1(C)      -3(E-)     -5(G-)    --7(B--)      *          *         *      Yes
E- Dim. 7 -         *        1(E-)     -3(G-)     -5(B--)    --7(D--)     *         *      Yes
G- Dim.7 -          *          *        1(G-)     -3(B--)     -5(D--)  --7(F--)     *      Yes   
B-- Dim. 7 -        *          *         *         1(B--)     -3(D--)   -5(F--)   --7(A---) No
A Dim. 7 -          *          *         *         1(A)       -3(C)     -5(E-)    --7(G!)  Yes