Chords

Highest Number
How high can this series go? 1 - 3 - 5 - 7 - 9 - 11 - 13 - 15 - STOP!!
A 15th is two octaves! We're back to the note where we started.
Since 15 = 1, the highest number used in a chord is 13.
G13: The only regular, complete 13th that uses all naturals! Notice there are three major triads in this chord (G, C, F). If the B were flat it would be C13. Flat the E also and you get F13.

F(#11): In the F-scale, the B would be flat, so that B-natural is a raised 11th. But it could be G(b13)/F.

D13(b9): The 11th is missing but that's not a Bmb11b9/D because only major chords get double-digit numbers.

A13/C#: The diminished C# triad cannot be the root of this high number chord. And it's very rare for anything higher than the 7th to be the bass note.

Double Digits

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