@eqwerewrqwerqre

4 years ago

But there definitely is a shortcut to find the third. Since every entry in the circle is a constant number of steps from the last, and since the third of a note is always the same number of steps from it, Finding the third of a note will always be the same number of steps around the circle. In this case, 4 steps around. Starting with C, go 4 steps, you're at E, staring with Ab, go 4 steps, you're at C. It will always work, I've just tried it on my piano for every note. By these definitions, every type of chord is definable by a sequence of steps from the root note around the circle of fifths. Major: [0 : 4 : 1] or [1 : 5 : 2] if you prefer 1 indexing. Minor: [0 : -3 : 1] or [0 : 9 : 1] Dim: [0 : -3 : 6] Aug: [0 : 4 : -4] etc. They're fairly easy to define and 7ths are simple to add on. From the above, we can say that there is an easy way to define any chord in terms of the circle of fifths. Would be an interesting way to program if you wanted to teach this to a computer. p.s. now you could argue that this defeats the simplifying purpose of the circle by adding back in the counting but I'd postulate this is different than counting simple notes by the virtue of having negative indexes and when adding negatives being able to never have an index above 6. Plus with this method you can make pretty triangles with your different chords and if you have your circle memorized, commit the different triangle shapes to memory as well. I'll stop typing now. Hope everybody's staying safe out there.

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