Here are a selection of chord ratios..
Minor Chord - 10:12:15
Root (1:1) - Major 3rd (4:5) - Perfect 5th (2:3)
Major 7th Chord - 8:10:12:15
Root (1:1) - Major 3rd (4:5) - Perfect 5th (2:3) - Major 7th (8:15)
Major 9th Chord - 8:10:12:15:18
Root (1:1) - Major 3rd (4:5) - Perfect 5th (2:3) - Major 2nd (8:9) - Major 9th (8:18/4:9)
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If we look at the Major 7th Chord.. according to the chord ratios, it holds the intervals Major 3rd, Perfect 5th and Major 7th.
But yet, there are more intervals within the Major 7th chord than what the chord ratio 8:10:12:15 represents. The intervals are the following..
- Major 3rd - C - E - (4:5)
- Perfect 5th - C - G - (2:3)
- Major 7th - C - B - (8:15)
- Minor 3rd - E - G - (5:6)
- Perfect 5th - E - B (2:3)
- Major 3rd - G - B - (4:5)
With those additional intervals above not being included in the chord ratio, does that make the chord ratio inaccurate given that the Major 7th chord holds a Minor 3rd which is not accounted for in the ratio or if not, where are these additional ratios within the chord ratio equation?
Also, there are duplicates of the Major 3rd and Perfect 5th. Does that make the chord that much more dissonant as opposed to if there were only 1 Major 3rd and Perfect 5th and not duplicates?
Many thanks guys!