Blackjack hexany triads and other matters

dkeenanuqnetau wrote:

Here are some possible names.

> C< E[ G< 4:5:6 major
>
> F#v A C#v 1/(6:5:4) minor
>
> F#v C#v E[ 4:6:7 subminor 7th no 3rd
>
> A C< G< 1/(7:6:4) subminor 7th no 5th
> C< G< A 1/(12:8:7) supermajor 6th no 3rd
>
> A C#v G< 4:5:7 major subminor 7th no 5th
>
> F#v C< E[ 1/(7:5:4) subdiminished subminor 7th no 3rd
> C< E[ F#v 1/(10:8:7) major diminished
>
> E[ G< C#v 5:6:7 minor subdiminished
>
> C#v E[ G< 1/(7:6:5) subminor subdiminished
> E[ G< C#v 1/(12:10:7) minor supermajor 6th no 5th
>

Dave kindly gave me this reply some time ago to a request for the names of Blackjack hexany
triads. The third last and last are the same triad with different names. Could any of you kind
souls out there correct this error for me please?

I'm writing a piece for soprano, alto, two zithers, two psalteries and percussion, using
minimalist techniques based around Balinese and West African rhythms. I played around with a few
different hexany options for the two zithers and have settled on the two hexanies that share the
G-D fifth. This helps greatly with the two vocal parts. I also extracted all 21 tones from part of
the lattice connected by mainly fifths and thirds which helped me build the vocal lines.
Fortunately even sopranos can sing and take cues from fifths and thirds : - )

--- In tuning@y..., Alison Monteith <alison.monteith3@w...> wrote:
>
>
> dkeenanuqnetau wrote:
>
> Here are some possible names.
>
> > C< E[ G< 4:5:6 major
> >
> > F#v A C#v 1/(6:5:4) minor
> >
> > F#v C#v E[ 4:6:7 subminor 7th no 3rd
> >
> > A C< G< 1/(7:6:4) subminor 7th no 5th
> > C< G< A 1/(12:8:7) supermajor 6th no 3rd
> >
> > A C#v G< 4:5:7 major subminor 7th no 5th
> >
> > F#v C< E[ 1/(7:5:4) subdiminished subminor 7th no 3rd
> > C< E[ F#v 1/(10:8:7) major diminished
> >
> > E[ G< C#v 5:6:7 minor subdiminished
> >
> > C#v E[ G< 1/(7:6:5) subminor subdiminished
> > E[ G< C#v 1/(12:10:7) minor supermajor 6th no 5th
> >
>
> Dave kindly gave me this reply some time ago to a request for the
names of Blackjack hexany
> triads. The third last and last are the same triad with different
names. Could any of you kind
> souls out there correct this error for me please?

The third last has the wrong note names. Sorry. It should have been:

F#v A C< 5:6:7 minor subdiminished

All the best with your piece.

dkeenanuqnetau wrote:

> The third last has the wrong note names. Sorry. It should have been:
>
> F#v A C< 5:6:7 minor subdiminished
>
> All the best with your piece.

Gotcha. Thanks Dave.

Regards