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I would like to know the order of complexity of musical intervals (in a melody). I learned about this from an exposure to the Kodaly method, although I have not learned from nor taught using the Kodaly method. But in my reading it introduced the concept of how the intervals are naturally learned. Seems like there should be an ordering. I can see that the first two are a minor third down and a perfect fourth up, but I don't know where to find a list of the intervals from easiest to hardest, treating the up direction and the down direction as separate things.

I realize that this ordering of interval difficultly or learning order may be dependent on the culture of the student. It would be extra cool to understand how this ordering of interval difficulty related to the harmonic series, since the first interval there is a perfect fifth up, which does not match my understanding that a minor third down is the easiest interval.

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I have a feeling this may be quite subjective, as I may find some intervals easier or harder than you based on my experiences to date. What is the underlying issue you are trying to solve? –  Dr Mayhem Aug 18 '12 at 9:50
    
@Dr Mayhem - I am interested in writing a computer program that would take a set of music and order it according to the rules set. So sure, part of this is likely to be cultural or perhaps tied to individuals experiences, but I think there must be established orders of difficulty. Otherwise Kodaly could not have done what he did. –  ChipJust Aug 18 '12 at 16:13
    
I wouldn't take it for totally impossible that someone could have done some cognitive study on this. –  Ulf Åkerstedt Aug 18 '12 at 20:55
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2 Answers

No experience with the method you mentioned, but I learned from the center out.

P5, P4, M3, m3, M6, m6, M2, m2, M7, m7, TT (tritone).

Ascending and descending in all cases.

In this sense, you are starting with more consonant, "stable" intervals, then working your way into the more dissonant, "complex" intervals, if you will.

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In my experience as a musician and using Kodaly, it's less about the intervals themselves as it is about the notes of the scales used. For instance, a minor third down is represented as "sol mi" and a perfect fourth up is "sol do". You can see how these are the notes of the tonic triad.

Therefore, in ranking the complexity of an interval, I believe it would be more useful to consider which step of the scale it is. So, if the note lies outside of the key, yet is a perfect fifth up, it would be listed as more complex.

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Most of my experience is modal. Certainly the meaning of an interval will depend on the context, including where the interval occurs in the scale being used and the current tonal center. Maybe my question is outside of Kodaly, strictly speaking, since I am more concerned with comparisons of bodies of music than the education of the musician, but I assumed that this must have been thought through. –  ChipJust Nov 18 '12 at 22:14
    
wouldn't that be the sub-dominant triad? –  Ygg Jul 23 '13 at 11:44
    
@Ygg "do mi sol" are the notes of the tonic triad when using "movable do." –  Reina Abolofia Aug 2 '13 at 2:41
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