Searching for the Unicorn

This is a piece that uses MOTU Ethno 2. All but percussion and voice were performed my Fender Mustang and midi recorded via Roland GR-20. The piece uses the Almak tuning included in Ethno 2. [Amlak recurrent sequence (x^2 = x + 1/3), as a matrix for Ethiopian scales]

The voice used an Alesis mixer and a vintage 1950s square tear drop microphone.

http://notonlymusic.com/board/download/file.php?id=394

To listen on line go to

http://notonlymusic.com/board/viewtopic.php?f=23&t=326&p=2206#p2206

Chris,

This sounds great...kinda like Mohajira...very stable and easy to listen to yet quite weird (in a good way).
Now how do I find the notes/ratio for the Amlek tuning out of the x^2 = x + 1/3 formula?

[Non-text portions of this message have been removed]

Does this help?

Amlak recurrent sequence (x^2 = x + 1/3), as a matrix for Ethiopian scales
|
Step size is 100.0000 cents
1: 0.000: 0: 0.0000 cents diff. 0.000000 steps, 0.0000
cents
2: 292.711: 3: 300.0000 cents diff. 0.072893 steps, 7.2893
cents
3: 297.513: 3: 300.0000 cents diff. 0.024869 steps, 2.4870
cents
4: 311.841: 3: 300.0000 cents diff. -0.118405 steps, -11.8406
cents
5: 592.247: 6: 600.0000 cents diff. 0.077526 steps, 7.7526
cents
6: 608.352: 6: 600.0000 cents diff. -0.083519 steps, -8.3520
cents
7: 698.154: 7: 700.0000 cents diff. 0.018457 steps, 1.8457
cents
8: 701.955: 7: 700.0000 cents diff. -0.019550 steps, -1.9550
cents
9: 790.756: 8: 800.0000 cents diff. 0.092443 steps, 9.2443
cents
10: 1103.389: 11: 1100.0000 cents diff. -0.033887 steps, -3.3888
cents
11: 1106.397: 11: 1100.0000 cents diff. -0.063969 steps, -6.3970
cents
12: 1200.000: 12: 1200.0000 cents diff. 0.000000 steps, 0.0000
cents
Total absolute difference : 0.605522 steps, 60.5522 cents
Average absolute difference: 0.050460 steps, 5.0460 cents
Root mean square difference: 0.062880 steps, 6.2880 cents
Highest absolute difference: 0.118405 steps, 11.8406 cents

On Sun, Jun 6, 2010 at 11:20 PM, Michael <djtrancendance@...> wrote:

>
>
> Chris,
>
> This sounds great...kinda like Mohajira...very stable and easy to listen to
> yet quite weird (in a good way).
> Now how do I find the notes/ratio for the Amlek tuning out of the x^2 = x +
> 1/3 formula?
>
> [Non-text portions of this message have been removed]
>
>
>

[Non-text portions of this message have been removed]

Chris>"Amlak recurrent sequence (x^2 = x + 1/3), as a matrix for Ethiopian scales
|
Step size is 100.0000 cents
1: 0.000: 0: 0.0000 cents diff. 0.000000 steps, 0.0000
cents"

Definitely helps.
It's bizarre just how close this is to some notes in 12TET....and yet a LOT of the semi-tones appear to be clustered. I know how much of a pain I can be about my partial hatred of 12TET semi-tones for lack of usability but, somehow, this scale manages to use a good 3 or so of them per octave and still make some pretty confident sounding chords. :-)

The conclusion I draw from all of this is that Jacques knows what he
is doing :-)

Chris

On Mon, Jun 7, 2010 at 12:09 AM, Michael <djtrancendance@yahoo.com> wrote:

>
> |
> Step size is 100.0000 cents
> 1: 0.000: 0: 0.0000 cents diff. 0.000000 steps, 0.0000
> cents"
>
> Definitely helps.
> It's bizarre just how close this is to some notes in 12TET....and yet a LOT of the semi-tones appear to be clustered. I know how much of a pain I can be about my partial hatred of 12TET semi-tones for lack of usability but, somehow, this scale manages to use a good 3 or so of them per octave and still make some pretty confident sounding chords. :-)

Chris>"The conclusion I draw from all of this is that Jacques knows what he

is doing :-)"
 
    Indeed...he certainly does!   :-)  Between Mohajira, use of Ptolemy's scales, and the tremendous amount of recurrent series scales Jacques makes it's hard to find a sour point in his work with scales.  Most everything he makes often turns out sounding a lot sweeter than you'd imagine if you rated it by how well it estimates "pure" JI or even Plomp and Llevelt's consonance theory, both of which really make me think he's on to something useful.