#1
What's up UG. I think I have a pretty good understanding over degrees, and modes. But what is really stumping me is 9ths,11ths,and 13ths. I'm using A, but the pattern works for every semitone.
A_Root Note
#_b2nd
B_natural 2nd
C_B3rd
#_Major 3rd
D_Perfect 4th
#_b5th
E_Perfect 5th
F_b6th
#_Major 6th
G_b7th
#_Major 7th
A_Octave
#_?
B_?
C_?
Ect.
My Question is, can any one finish the pattern for me so I will know how to find the 9th, 11th, and 13th for every semitone? I'm thinking that a 9th is a b2nd, and after that I really can't figure it out. Any help is appreciated.
#2
Essentially, if my understanding of your question (and my theory) is correct, the degrees just restart, an octave up. basically what you can do is subtract 7 from the degree (ie. Minor 9th... 9-7 = 2, thus Minor 9th is the octave up of a minor 2nd and so on). hope that helps.
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#3
Minor 9th = 13 semitones. Equivilant to Minor second.
Major 9th = 14 semitones
11's are comparable to 4ths
Perfect 11, Augmented 11, etc
13th are comparable to 6's
Minor 13th, Major 13.

Take a simple interval. Add 7 to the number. Add an octave.
So. Minor third. Take the "third" and add 7 to it. You get 10. Your compound interval is Minor 10th. Now, add an octave to the value of it. A minor third has 3 semitones, add an octave. You have 15 semitones.

Minor 10th = 15 semitones.