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Number Formula Translation Tables
Intervals 1 2 3 4 Scales 1 2 3 Chords 1 2

Chord formula translation tables — Table One

Chords grouped by family. Standard root position chord formula to Cipher (or chromatic) equivalents. Not exhaustive, few altered chords.

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Chord Name

Standard Formula

Cipher Formula

R

3rd

5th

6/7

9

11

13

Major

Triad

R

3

5

0°

4°

7°

Sixth

R

3

5

6

0°

4°

7°

9°

Seventh

R

3

5

7

0°

4°

7°

11°

Ninth

R

3

5

7

9

0°

4°

7°

11°

14°

6 / 9

R

3

5

6

9

0°

4°

7°

9°

14°

Eleventh

R

3

5

7

9

11

0°

4°

7°

11°

14°

17°

Thirteenth

R

3

5

7

9

11

13

0°

4°

7°

11°

14°

17°

21°

Minor

Triad

R

b3

5

0°

3°

7°

Sixth

R

b3

5

6

0°

3°

7°

9°

Seventh

R

b3

5

b7

0°

3°

7°

10°

Ninth

R

b3

5

b7

9

0°

3°

7°

10°

14°

6 / 9

R

b3

5

6

9

0°

3°

7°

9°

14°

Eleventh

R

b3

5

b7

9

11

0°

3°

7°

10°

14°

17°

Thirteenth

R

b3

5

b7

9

11

13

0°

3°

7°

10°

14°

17°

21°

Dominant

Seventh

R

3

5

b7

0°

4°

7°

10°

Ninth

R

3

5

b7

9

0°

4°

7°

10°

14°

Eleventh

R

3

5

b7

9

11

0°

4°

7°

10°

14°

17°

Thirteenth

R

3

5

b7

9

11

13

0°

4°

7°

10°

14°

17°

21°

Diminished

Triad

R

b3

b5

0°

3°

6°

Half-Dim

Seventh

R

b3

b5

b7

0°

3°

6°

10°

Diminished

Seventh

R

b3

b5

bb7

0°

3°

6°

9°

Augmented

Triad

R

3

#5

0°

4°

8°

Seventh

R

3

#5

b7

0°

4°

8°

10°

Major

Suspended

R

4

5

0°

5°

7°

Dom 7

Suspended

R

4

5

b7

0°

5°