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Working out the Jazz Melodic Minor scale

MandyH

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I think I understand how to work out from a major scale, how to get to the mixolydian, dorian and minor scales by using the circle of 5ths. - by working round one step anticlockwise of the circle to establish how many sharps or flats needed for each scale.

I have been told, but have managed to forget, how to form the Jazz melodic minor.

Since I need to be centered on C# (for my exam), I'm hoping someone can confirm that what I'm doing is correct, or explain in lay-man's terms what I should be doing.

So C# major has all 7 sharps - C# D# E# F# G# A# B# C#
and C# mixolydian has 6 sharps (not B), so C# D# E# F# G# A# B C#
and C# Dorian has 5 sharps (not B or E), so C# D# E F# G# A# B C#
and C# minor would be 4 sharps (not B, E or A) so C# D# E F# G# A B C#
but a Jazz melodic minor then sharpens the 6th and 7th notes of the scale (this is the bit I'm not sure about) going both up and down the scale.
so it becomes: C# D# E F# G# A# B# C#

Have I got the correct Jazz melodic minor "formula" so to speak?
Once I've got this cracked, I should be able to work out these 4 scales for all note centres.

I hope this makes sense to someone!
Thanks for your help.
 
Thanks, Nick. It's good to know I'm beginning to understand some of this - in theory at least :)))
 

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