Arithmetic series scale with very high sustain: (tinyurl) sound example

      Thanks to Cameron for the idea of testing the scale with high sustain.  In the version I used an infinitely sustained/looped ocarina as an instrument.

   The sound example of a 9-tone scale-chord within the octave is
http://tinyurl.com/qp9eak

   Note, unlike my PHI scales, this is based on the formula (1/octave)^x+1 and produces straight forward JI intervals.  This generation method, as you can see, is very much like the one I favor for PHI scales: (1/PHI)^x+1.

   The scale used in the example is
1
1.0625    17/16
1.125      9/8
1.25        5/4
1.41176  24/17
1.5         3/2 (this is the period, rather than the 2/1 octave)

    BTW Marcel, I'm pretty sure this will cast at least some doubt to whether the idea of a chord-scale is un-realstic. 

    I will agree this (nor anything else) is quite as consonant as the 1 5/4 3/2 triad...however:
   A) It seems at least nearing the consonance of a major 7th chord to my ears.  Makes mathematical sense too: everything except the 24/17 is in common with the x/16 harmonic series and the 24/17 has a common tie in that it is simply 1.5 (scale period) / 1.0625 (17/16).
   B) Note that tension can be added by doing things like playing notes at higher amplitudes, altering the rhythm to something quicker, altering the level of attack in the instruments and more...surely picking "sour tones" need not be the only way of promoting tension in good compositional practice.

    And even if you want sour tones...you can always add extra notes to the scale such as 4/3 and 6/5 plus noble mediants of existing tones in the scale to the scale to create more dissonance at will.

-Michael

Sorry but I really can't hear wether you specific ratios are the most
consonant ones for this chord.Sounds about equally consonant to me when I
paly your chord in 5-limit JI.

Common practice classical music is to my ears much better for testing
consonance of chords/scales as it is in a musical context and the ear
expects to hear certain exact ratios / notes it seems to me.

Dear friends,

this is just to let you know that I have decided to opt-out from the group's
emails.
I will keep my membership so that I can still read messages on the web if
need be.

Those who wish to contact me privately in the future know my personal email
and are very welcome.

All the best,

Claudio

http://harps.braybaroque.ie/

Posted by: "Claudio Di Veroli" dvc@... diveroli
Sun May 17, 2009 3:27 pm (PDT)

Dommage !

Sincerly, because you are such a great connaisseur, Claudio, in many subjects that interests us all and where we would need your light and your precisions...

But I think I kind of understand, perhaps, some of your reasons, and feel in resonance.

Keep on tuning,
- - - - - - - - - - - - -
Jacques

> Posted by: "Claudio Di Veroli" dvc@... diveroli
> Sun May 17, 2009 3:27 pm (PDT)
>
> Dear friends,
>
> this is just to let you know that I have decided to opt-out from > the group's
> emails.
> I will keep my membership so that I can still read messages on the > web if
> need be.
>
> Those who wish to contact me privately in the future know my > personal email
> and are very welcome.
>
> All the best,
>
> Claudio

--- In tuning@yahoogroups.com, "Claudio Di Veroli" <dvc@...> wrote:
>
> Dear friends,
>
> this is just to let you know that I have decided to opt-out from the group's
> emails.
> I will keep my membership so that I can still read messages on the web if
> need be.
>
> Those who wish to contact me privately in the future know my personal email
> and are very welcome.
>
> All the best,
>
> Claudio
>
> http://harps.braybaroque.ie/
>
That doesn't mean you're opting out altogether I hope? I enjoy reading your posts Claudio.

Rick

Claudio - you will be missed certainly.

Chris