Re: [tuning] Arithmetic series scale with very high sustain: (tinyurl) sound example

    This is one case where I admit my 12TET musical knowledge falls short in being able to describe what the nearest chord is to the arithmetic mean scale in 5-limit JI is (if there even if one...the 17/16 and 24/17 fraction in the arithmetic scale alone seems to say the chord must be 17 odd limit).

    The scale I used in the example (arithmetic mean) turns out to be very very close to the following in 12TET (which rounds the 24/17 to something more like 7/5):
    C D E F# G (period in arithmetic mean scale) -- A B C#....

   The only difference is the arithmetic mean scale has an extra note per period a bit over C# and G#.  (1.0625)...and the fact the arithmetic mean scale has its period at the 5th and not the octave.

   As to what the formal name for the chord C D E F# G A B is (or what the nearest 5-limit JI equivalent is) I have no clue though.  I pretty certain isn't just a slight extention your run-of-the-mill add2 major 7th (IE C D E G B) or diminished 9th chord, though.  Any ideas?

-Michael

Not every combination of more tones must have a name, why :-)

This is just a C Lydian diatonic cluster.

Of course you can describe it as C7maj/6/4+add/2add. Or C13/11+/9/7maj.

I hardly see any reason why it should be diminished 9th.

Daniel Forró

On 18 May 2009, at 8:40 AM, Michael Sheiman wrote:
>
> As to what the formal name for the chord C D E F# G A B is (or> what the nearest 5-limit JI equivalent is) I have no clue though.
> I pretty certain isn't just a slight extention your run-of-the-mill
> add2 major 7th (IE C D E G B) or diminished 9th chord, though. Any
> ideas?
>
> -Michael