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   The 13th chords are the basic triad (135) with one tone added, Each triad starts with (135) and the (13) is added on top of that creating (135 11). The 6 is an alias of 13 so the chord can also be refered to as (1356), The 'traditional' naming of these chords are 'add13' but we have major issues with the naming of some of the more complex chords...

Key of C  13th chords
Gb - Db - Ab - Eb - Bb - F - C - G - D - A - E - B

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   Our '13th' chord is a four tone chord but the 'old' theory is that the 13th(thirteenth) chord is a 7 tone chord, This means you take the basic triad (135) and add the 7th(7), 9th(9), 11th(11), and 13th(13) creating in the end (1 3 5 7 9 11 13) - Supposedly you play all of the '7' tones possible in a 'key' which is insane, It is easy to play this chord on the piano but they are impossible on the standard guitar...