Re: augmented (two tetrad sets)

38:48:60:72:90:108:135:162

This is another two tetrad (1-3-#5-7 + 1-b3-5b7) augmented set that is
built by adding 5-limit thirds (5/4's & 6/5's) to a 19-limit major third.
In this case the initial major third is a 24/19 as opposed to 19/15, and
C-E-G#-B-D#-F#-A#-C#* would be derived: 1/1 + 24/19 + 5/4 + 6/5 + 5/4 + 6/5
+ 5/4 + 6/5.

Dan

*Changing the C to C# here (38/38 to 40/38) would make this a (81/80)
'comma wide' heptad of two minor 7th tetrads (20/19 + 6/5 + 5/4 + 6/5 + 5/4
+ 6/5 + 5/4 + 6/5).