Open Scales in Other Keys with Shifts to Moveable Scales

Using the G Scale as a reference, and using 0 to denote open strings,

e-o-2-3-5-7-8-10-12-14-15-17-19-20-22

b-o-1-3-5-7-8-10-12-13-15-17-19-20-22

g-o-2-4-5-7-9-11-12-14-16-17-19-21-23

d-o-2-4-5-7-9-10-12-14-16-17-19-21-22

a-o-2-3-5-7-9-10-12-14-15-17-19-21-22

e-o-2-3-5-7-8-10-12-14-15-17-19-20-22

Subtract 1 from all numbers to get F#

e-(-1)-1-2-4-6-7-9-11-13-14-16-18-19-21

b-(-1)-o-2-4-6-7-9-11-12-14-16-18-19-21

g-(-1)-1-3-4-6-8-10-11-13-15-16-18-20-22

d-(-1)-1-3-4-6-8-9-11-13-15-16-18-20-21

a-(-1)-1-2-4-6-8-9-11-13-14-16-18-20-21

e-(-1)-1-2-4-6-7-9-11-13-14-16-18-19-21

Ignore any negative numbers, and extend the G scale to a theoretical third octave for calculation purposes

e-22-24-26-27-29-31-32-34

b-22-24-25-27-29-31-32-34

g-23-24-26-27-28-30-33-35

d-22-24-26-28-29-30-33-34

a-22-24-26-27-29-30-33-34

e-22-24-26-27-29-31-32-34

then keep subtracting one for each number to yield

F#/Gb

e-1-2-4-6-7-9--11-13-14-16-18-19-21

b-o-2-4-6-7-9--11-12-14-16-18-19-21

g-1-3-4-6-8-10-11-13-15-16-18-20-22

d-1-3-4-6-8-9--11-13-15-16-18-20-21

a-1-2-4-6-8-9--11-13-14-16-18-20-21

e-1-2-4-6-7-9--11-13-14-16-18-19-21

F/E#

e-o-1-3-5-6-8--10-12-13-15-17-18-20-22

b-1-3-5-6-8-10-11-13-15-17-18-20-22-23

g-o-2-3-5-7-9--10-12-14-15-17-19-21-22

d-o-2-3-5-7-8--10-12-14-15-17-19-20-22

a-o-1-3-5-7-8--10-12-13-15-17-19-20-22

e-o-1-3-5-6-8--10-12-13-15-17-18-20-22

E/Fb

e-o-2-4-5-7-9-11-12-14-16-17-19-21-23

b-o-2-4-5-7-9-10-12-14-16-17-19-21-22

g-1-2-4-6-8-9-11-13-14-16-18-20-21-23

d-1-2-4-6-7-9-11-13-14-16-18-19-21-23

a-o-2-4-6-7-9-11-12-14-16-18-19-21-23

e-o-2-4-5-7-9-11-12-14-16-17-19-21-23

Eb/D#

e-1-3-4-6-8-10-11-13-15-16-18-20-22-23

b-1-3-4-6-8-9--11-13-15-16-18-20-21-23

g-1-3-5-7-8-10-12-13-15-17-19-20-22-23

d-1-3-5-6-8-10-12-13-15-17-18-20-22-24

a-1-3-5-6-8-10-11-13-15-17-18-20-22-23

e-1-3-4-6-8-10-11-13-15-16-18-20-22-23

e-o-2-3-5-7-9-10-12-14-15-17-19-21-22

b-o-2-3-5-7-8-10-12-14-15-17-19-20-22

g-o-2-4-6-7-9-11-12-14-16-18-19-21-22

d-o-2-4-5-7-9-11-12-14-16-17-19-21-23

a-o-2-4-5-7-9-10-12-14-16-17-19-21-22

e-o-2-3-5-7-9-10-12-14-15-17-19-21-22

Db/C#

e-1-2-4-6-8-9--11-13-14-16-18-20-21-23

b-1-2-4-6-7-9--11-13-14-16-18-19-21-23

g-1-3-5-6-8-10-11-13-15-17-18-20-21-22

d-1-3-4-6-8-10-11-13-15-16-18-20-22-23

a-1-3-4-6-8-9--11-13-15-16-18-20-21-23

e-1-2-4-6-8-9--11-13-14-16-18-20-21-23

C/B#

e-o-1-3-5-7-8-10-12-13-15-17-19-20-22

b-o-1-3-5-6-8-10-12-13-15-17-18-20-22

g-o-2-4-5-7-9-10-12-14-16-17-19-20-21

d-o-2-3-5-7-9-10-12-14-15-17-19-21-22

a-o-2-3-5-7-8-10-12-14-15-17-19-20-22

e-o-1-3-5-7-8-10-12-13-15-17-19-20-22

B/Cb

e-o-2-4-6-7-9-11-12-14-16-18-19-21-23

b-o-2-4-5-7-9-11-12-14-16-17-19-21-23

g-1-3-4-6-8-9-11-13-15-16-18-19-20-22

d-1-2-4-6-8-9-11-13-14-16-18-20-21-22

a-1-2-4-6-7-9-11-13-14-16-18-19-21-22

e-o-2-4-6-7-9-11-12-14-16-18-19-21-23

Bb/A#

e-1-3-5-6-8-10-11-13-15-17-18-20-22-23

b-1-3-4-6-8-10-11-13-15-16-18-20-22-23

g-o-2-3-5-7-8--10-12-14-15-17-18-19-21

d-o-1-3-5-7-8--10-12-13-15-17-19-20-21

a-o-1-3-5-6-8--10-12-13-15-17-18-20-21

e-1-3-5-6-8-10-11-13-15-17-18-20-22-23

e-o-2-4-5-7-9-10-12-14-16-17-19-21-22

b-o-2-3-5-7-9-10-12-14-15-17-19-21-22

g-1-2-4-6-7-9-11-13-14-16-17-18-20-23

d-o-2-4-6-7-9-11-12-14-16-18-19-20-23

a-o-2-4-5-7-9-11-12-14-16-17-19-20-23

e-o-2-4-5-7-9-10-12-14-16-17-19-21-22

Ab/G#

e-1-3-4-6-8-9--11-13-15-16-18-20-21-23

b-1-2-4-6-8-9--11-13-14-16-18-20-21-23

g-o-1-3-5-6-8--10-12-13-15-16-17-19-22

d-1-3-5-6-8-10-11-13-15-17-18-19-22-23

a-1-3-4-6-8-10-11-13-15-16-18-19-22-23

e-1-3-4-6-8-9--11-13-15-16-18-20-21-23

Open Position Scales move into one of the moveable modes and then follow the same patterns as outlined in G, just shifted.

G G to Locrean

e----------------------------o-2-3- e-o---/2-3-5

b----------------------o-1-3------- b-o-1-/3-5

g------------------o-2------------- g-o---/2-4-5

d------------o-2-4----------------- d-o---/2-4-5

a-------o-2-3---------------------- a-o---/2-3-5

e-o-2-3---------------------------- e-o---/2-3-5

e-3-2-o----------------------------

b-------3-1-o----------------------

g -------------2-o-----------------

d-----------------4-2-o------------

a----------------------3-2-o-------

e----------------------------3-2-o-

F#/Gb F#/Gb to Locrean

e-----------------------------1-2-4- e---/1-2-4-

b-----------------------o-2-4------- b-o-/2-4-

g-------------------1-3------------- g---/1-3-4-

d-------------1-3-4----------------- d---/1-3-4-

a-------1-2-4----------------------- a---/1-2-4-

e-1-2-4----------------------------- e---/1-2-4-

e-4-2-1-----------------------------

b-------4-2-o-----------------------

g-------------3-1-------------------

d-----------------4-3-1-------------

a-----------------------4-2-1-------

e-----------------------------4-2-1-

F/E# F/E# to Ionian

e-----------------------------o-1-3- e-o-/1-3-5

b-------------------------1-3------- b- -/1-3-5

g-------------------o-2-3----------- g-o-/2-3-

d-------------o-2-3----------------- d-o-/2-3-5

a-------o-1-3----------------------- a-o-/1-3-5

e-o-1-3----------------------------- e-o-/1-3-5

e-3-1-o-----------------------------

b-------3-1-------------------------

g-----------3-2-o-------------------

d-----------------3-2-o-------------

a-----------------------3-1-o-------

e-----------------------------3-1-o-

E/Fb E/Fb to Dorian

e-----------------------------o-2-4- e-o-/2-4-5

b-----------------------o-2-4------- b-o-/2-4-5

g-------------------1-2------------- g-1-/2-4-

d-------------1-2-4----------------- d-1-/2-4-6

a-------o-2-4----------------------- a-o-/2-4-6

e-o-2-4----------------------------- e-o-/2-4-5

e-4-2-o-----------------------------

b-------4-2-o-----------------------

g-------------2-1-------------------

d-----------------4-2-1-------------

a-----------------------4-2-o-------

e-----------------------------4-2-o-

Eb/D# Eb/D# to Dorian

e-----------------------------1-3-4- e-1-3-4--

b-----------------------1-3-4------- b-1-3-4--

g-----------------o-1-3------------- g-1-3---

d-----------o-1-3------------------- d-1-3-5--

a-------1-3------------------------- a-1-3-5--

e-1-3-4----------------------------- e-1-3-4--

e-4-3-1-----------------------------

b-------4-3-1-----------------------

g-------------3-1-o-----------------

d-------------------3-1-o-----------

a-------------------------3-1-------

e-----------------------------4-3-1-

D D to Phrygian

e-----------------------------o-2-3- e-o-/2-3-5

b-----------------------o-2-3------- b-o-/2-3-5

g-------------------o-2------------- g-o-/2-4-

d-------------o-2-4----------------- d-o-/2-4-5

a-------o-2-4----------------------- a-o-/2-4-5

e-o-2-3----------------------------- e-o-/2-3-5

e-3-2-o-----------------------------

b-------3-2-o-----------------------

g-------------2-o-------------------

d-----------------4-2-o-------------

a-----------------------4-2-o-------

e-----------------------------3-2-o-

Db/C# Db/C# to Phrygian (No shift)

e-----------------------------1-2-4- e-1-2-4--

b-----------------------1-2-4------- b-1-2-4--

g-------------------1-3------------- g-1-3---

d-------------1-3-4----------------- d-1-3-4--

a-------1-3-4----------------------- a-1-3-4--

e-1-2-4----------------------------- e-1-2-4--

e-4-2-1-----------------------------

b-------4-2-1-----------------------

g-------------3-1-------------------

d-----------------4-3-1-------------

a-----------------------4-3-1-------

e-----------------------------4-2-1-

C/B# C/B# to Lydian

e-----------------------------o-1-3- e-o-/1-3-5

b-----------------------o-1-3------- b-o-/1-3-5

g-------------------o-2------------- g-o-/2-4-

d-------------o-2-3----------------- d-o-/2-3-5

a-------o-2-3----------------------- a-o-/2-3-5

e-o-1-3----------------------------- e-o-/1-3-5

e-3-1-o-----------------------------

b-------3-1-o-----------------------

g-------------2-o-------------------

d-----------------3-2-o-------------

a-----------------------3-2-o-------

e-----------------------------3-1-o-

B/Cb B/Cb to Mixolydian

e-----------------------------o-2-4- e-o- /2-4-6

b-----------------------o-2-4------- b-o- /2-4-5

g-------------------1-3------------- g-1- /3-4-

d-------------1-2-4----------------- d-1- /2-4-6

a-------1-2-4----------------------- a-1- /2-4-6

e-o-2-4----------------------------- e-o- /2-4-6

e-4-2-o-----------------------------

b-------4-2-o-----------------------

g-------------3-1-------------------

d-----------------4-2-1-------------

a-----------------------4-2-1-------

e-----------------------------4-2-o-

Bb/A# Bb/A# to Mixolydian

e-----------------------------1-3-5- e- - /1-3-5

b-----------------------1-3-4------- b- - /1-3-4

g-----------------o-2-3------------- g-o- /2-3-

d-----------o-1-3------------------- d-o- /1-3-5

a-----o-1-3------------------------- a-o- /1-3-5

e-1-3------------------------------- e- - /1-3-5

e-5-3-1-----------------------------

b-------4-3-1-----------------------

g-------------3-2-o-----------------

d-------------------3-1-o-----------

a-------------------------3-1-o-----

e-------------------------------3-1-

A A to Aeolian

e-----------------------------o-2-4- e-o- /2-4-5

b-----------------------o-2-3------- b-o- /2-3-5

g-------------------1-2------------- g-1- /2-4-

d-------------o-2-4----------------- d-o- /2-4-6

a-------o-2-4----------------------- a-o- /2-4-5

e-o-2-4----------------------------- e-o- /2-4-5

e-4-2-o-----------------------------

b-------3-2-o-----------------------

g-------------2-1-------------------

d-----------------4-2-o-------------

a-----------------------4-2-o-------

e-----------------------------4-2-o-

Ab/G# Ab/G# to Aeolean

e-----------------------------1-3-4- e- - /1-3-4

b-----------------------1-2-4------- b- - /1-2-4

g-----------------o-1-3------------- g-o- /1-3-

d-------------1-3------------------- d- - /1-3-5

a-------1-3-4----------------------- a- - /1-3-4

e-1-3-4----------------------------- e- - /1-3-4

e-4-3-1-----------------------------

b-------4-2-1-----------------------

g-------------3-1-o-----------------

d-------------------3-1-------------

a-----------------------4-3-1-------

e-----------------------------4-3-1-