I hope the teacher can help me to tell me which scales these chords tension come from. For example ，I know that dominant chords tensions come from Alt scale.
Sorry, I want to ask alt tensions. not natural tensions.
For example, CMajor7#4 or Adim b13 chord . This kind of tension come from which scale?
Hi FooChi 
Great question here!
Firstly let’s talk about Major Chords:
For major chords, here are 2 common options to derive harmonies and melodies.
- Ionian Mode - simply the major scale
- Lydian Mode - the major scale with a #4 / #11
For every major chord, you can include the #11 colour/tension in your lines, and/or your chord voicings. There are more colours/tensions that you can use over major chords such as the #5, but right now just focus on exploring the #11 and introducing it into your melodies and chord voicings.
For -7b5 Chords (aka. Half Diminished):
First we have the Locrian mode which is the 7th mode of the major scale.
The Locrian Mode
So if you wanted to play a scale over B-7b5, you could either play the B Major Scale with R, b2, b3, 4, b5. b6, & b7, or alteratively, just play the C Major scale from B to B. This is 2 ways of getting the same result, but different musicians do it in different ways.
You can find more information on the major modes here:
The Locrian Mode Natural 2/9
Often jazz musicians will play a natural 2/9 over -7b5 chords. The b2/b9 from the Locrian mode sounds somewhat dissonant, and the natural 2 gives a more ‘exotic’ sound. The Locrian natural 2 scale is a mode from the melodic minor scale.
You can find more information on the melodic minor modes here:
Finally, For Dominant Chords:
There are many more options here.
The b13 / #5 that you mention is commonly associated with the ‘altered mode’, again check out the lesson on the melodic minor modes above. You can also find a more detailed study on the altered mode here:
I’ve been having a very similar discussion with @natasha0412 over in the following thread about the diminished scale.
Check out this post where we compare the differences between the diminished scale, and the altered mode:
I hope this helps FooChi… and if you have any further questions just let me know 
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Thanks very,teacher.
I think I should study your course more carefully.
Thank you very much for your explanation.
You are the best teacher I have ever seen.
:
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My pleasure FooChi.
Altered tones and ‘colours’ are a wonderful area to study… there’s lots of fantastic sounds for you to explore so have fun with that stuff!
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