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13 tone Phi scale

🔗Aaron Andrew Hunt <aahunt@...>

8/28/2007 11:17:23 AM

Has anyone here done anything with this tuning?

xGenLinearTemperament<13 tones, {phi} = 1.618034...>

1.
1.05901699437494745126286943559535
1.12151699437494745126286943559535
1.18770555652338161145564754406223
1.25780036867181577164842565252911
1.30901699437494745126286943559535
1.38627124296868431407858679449419
1.46808480511711847427136490296107
1.55472675780266134104579123231815
1.6180339887498949025257388711907
1.71352549156242117689430415339302
1.8146526158592897193244652953581
1.92174795908194084859132999554276

Or do you know of someone who has used it?

Yours,
Aaron Hunt
H-Pi Instruments

🔗Kraig Grady <kraiggrady@...>

8/28/2007 1:07:23 PM

Is this different than the 13 tone phi scale put forth by Loren Temes in 1970 ( along with Walter o'Connell) and found in the first Horogram?
Actually it seems to be somewhat different.

If not At least Warren Burt. But i think McLaren and Choning also.

Aaron Andrew Hunt wrote:
>
> Has anyone here done anything with this tuning?
>
> xGenLinearTemperament<13 tones, {phi} = 1.618034...>
>
> 1.
> 1.05901699437494745126286943559535
> 1.12151699437494745126286943559535
> 1.18770555652338161145564754406223
> 1.25780036867181577164842565252911
> 1.30901699437494745126286943559535
> 1.38627124296868431407858679449419
> 1.46808480511711847427136490296107
> 1.55472675780266134104579123231815
> 1.6180339887498949025257388711907
> 1.71352549156242117689430415339302
> 1.8146526158592897193244652953581
> 1.92174795908194084859132999554276
>
> Or do you know of someone who has used it?
>
> Yours,
> Aaron Hunt
> H-Pi Instruments
>
> -- Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/index.html>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main/index.asp> 88.9 FM Wed 8-9 pm Los Angeles

🔗Aaron Andrew Hunt <aahunt@...>

8/28/2007 4:46:39 PM

Thanks, Kraig. This is what I was hoping to find out about. I know
about McLaren and Burt, but can you point me to a source for the
Temes-o'Connell phi scale?

Thanks,
Aaron Hunt
H-Pi Instruments

--- In MakeMicroMusic@yahoogroups.com, Kraig Grady <kraiggrady@...> wrote:
>
> Is this different than the 13 tone phi scale put forth by Loren Temes in
> 1970 ( along with Walter o'Connell) and found in the first Horogram?
> Actually it seems to be somewhat different.
>
> If not At least Warren Burt. But i think McLaren and Choning also.
>
> Aaron Andrew Hunt wrote:
> >
> > Has anyone here done anything with this tuning?
> >
> > xGenLinearTemperament<13 tones, {phi} = 1.618034...>
> >
> > 1.
> > 1.05901699437494745126286943559535
> > 1.12151699437494745126286943559535
> > 1.18770555652338161145564754406223
> > 1.25780036867181577164842565252911
> > 1.30901699437494745126286943559535
> > 1.38627124296868431407858679449419
> > 1.46808480511711847427136490296107
> > 1.55472675780266134104579123231815
> > 1.6180339887498949025257388711907
> > 1.71352549156242117689430415339302
> > 1.8146526158592897193244652953581
> > 1.92174795908194084859132999554276
> >
> > Or do you know of someone who has used it?
> >
> > Yours,
> > Aaron Hunt
> > H-Pi Instruments
> >
> >
>
> --
> Kraig Grady
> North American Embassy of Anaphoria Island <http://anaphoria.com/index.html>
> The Wandering Medicine Show
> KXLU <http://www.kxlu.com/main/index.asp> 88.9 FM Wed 8-9 pm Los Angeles
>

🔗Kraig Grady <kraiggrady@...>

8/28/2007 5:48:10 PM

I am not sure if it is the same 13 tone Phi scale but the Temes is here.
http://anaphoria.com/temes.PDF
As far as I know this is the first mention of the posibility of using this musically.
I thought there was a link to it but it seems to be missing.

a good visualization of the Phi series forming MOS patterns is here
http://anaphoria.com/hrgm.PDF page 24 or horogram 22.
I seem to remember that the one of the intervals is almost exactly 100 cents?

Aaron Andrew Hunt wrote:
>
> Thanks, Kraig. This is what I was hoping to find out about. I know
> about McLaren and Burt, but can you point me to a source for the
> Temes-o'Connell phi scale?
>
> Thanks,
> Aaron Hunt
> H-Pi Instruments
>
> --- In MakeMicroMusic@yahoogroups.com > <mailto:MakeMicroMusic%40yahoogroups.com>, Kraig Grady > <kraiggrady@...> wrote:
> >
> > Is this different than the 13 tone phi scale put forth by Loren > Temes in
> > 1970 ( along with Walter o'Connell) and found in the first Horogram?
> > Actually it seems to be somewhat different.
> >
> > If not At least Warren Burt. But i think McLaren and Choning also.
> >
> > Aaron Andrew Hunt wrote:
> > >
> > > Has anyone here done anything with this tuning?
> > >
> > > xGenLinearTemperament<13 tones, {phi} = 1.618034...>
> > >
> > > 1.
> > > 1.05901699437494745126286943559535
> > > 1.12151699437494745126286943559535
> > > 1.18770555652338161145564754406223
> > > 1.25780036867181577164842565252911
> > > 1.30901699437494745126286943559535
> > > 1.38627124296868431407858679449419
> > > 1.46808480511711847427136490296107
> > > 1.55472675780266134104579123231815
> > > 1.6180339887498949025257388711907
> > > 1.71352549156242117689430415339302
> > > 1.8146526158592897193244652953581
> > > 1.92174795908194084859132999554276
> > >
> > > Or do you know of someone who has used it?
> > >
> > > Yours,
> > > Aaron Hunt
> > > H-Pi Instruments
> > >
> > >
> >
> > --
> > Kraig Grady
> > North American Embassy of Anaphoria Island > <http://anaphoria.com/index.html <http://anaphoria.com/index.html>>
> > The Wandering Medicine Show
> > KXLU <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>> 88.9 FM Wed 8-9 pm Los Angeles
> >
>
> -- Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/index.html>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main/index.asp> 88.9 FM Wed 8-9 pm Los Angeles

🔗Aaron Andrew Hunt <aahunt@...>

8/28/2007 6:41:42 PM

Thanks again, Kraig. This is just what I was looking for!
I haven't read the paper yet, but your memory of the
near-12ET semitone would suggest the scales are the same.
Here is the same scale I posted before, in cents:

xGenLinearTemperament<13 tones, {phi} = 1.618034...>

0
99.27088907
198.54177814
297.81266721
397.08355628
466.18059271
565.45148178
664.72237085
763.99325992
833.09029636
932.36118543
1031.6320745
1130.9029636

Cheers,
Aaron Hunt
H-Pi Instruments

--- In MakeMicroMusic@yahoogroups.com, Kraig Grady <kraiggrady@...> wrote:
>
> I am not sure if it is the same 13 tone Phi scale but the Temes is here.
> http://anaphoria.com/temes.PDF
> As far as I know this is the first mention of the posibility of using
> this musically.
> I thought there was a link to it but it seems to be missing.
>
> a good visualization of the Phi series forming MOS patterns is here
> http://anaphoria.com/hrgm.PDF page 24 or horogram 22.
> I seem to remember that the one of the intervals is almost exactly 100
> cents?
>
> Aaron Andrew Hunt wrote:
> >
> > Thanks, Kraig. This is what I was hoping to find out about. I know
> > about McLaren and Burt, but can you point me to a source for the
> > Temes-o'Connell phi scale?
> >
> > Thanks,
> > Aaron Hunt
> > H-Pi Instruments
> >
> > --- In MakeMicroMusic@yahoogroups.com
> > <mailto:MakeMicroMusic%40yahoogroups.com>, Kraig Grady
> > <kraiggrady@> wrote:
> > >
> > > Is this different than the 13 tone phi scale put forth by Loren
> > Temes in
> > > 1970 ( along with Walter o'Connell) and found in the first Horogram?
> > > Actually it seems to be somewhat different.
> > >
> > > If not At least Warren Burt. But i think McLaren and Choning also.
> > >
> > > Aaron Andrew Hunt wrote:
> > > >
> > > > Has anyone here done anything with this tuning?
> > > >
> > > > xGenLinearTemperament<13 tones, {phi} = 1.618034...>
> > > >
> > > > 1.
> > > > 1.05901699437494745126286943559535
> > > > 1.12151699437494745126286943559535
> > > > 1.18770555652338161145564754406223
> > > > 1.25780036867181577164842565252911
> > > > 1.30901699437494745126286943559535
> > > > 1.38627124296868431407858679449419
> > > > 1.46808480511711847427136490296107
> > > > 1.55472675780266134104579123231815
> > > > 1.6180339887498949025257388711907
> > > > 1.71352549156242117689430415339302
> > > > 1.8146526158592897193244652953581
> > > > 1.92174795908194084859132999554276
> > > >
> > > > Or do you know of someone who has used it?
> > > >
> > > > Yours,
> > > > Aaron Hunt
> > > > H-Pi Instruments
> > > >
> > > >
> > >
> > > --
> > > Kraig Grady
> > > North American Embassy of Anaphoria Island
> > <http://anaphoria.com/index.html <http://anaphoria.com/index.html>>
> > > The Wandering Medicine Show
> > > KXLU <http://www.kxlu.com/main/index.asp
> > <http://www.kxlu.com/main/index.asp>> 88.9 FM Wed 8-9 pm Los Angeles
> > >
> >
> >
>
> --
> Kraig Grady
> North American Embassy of Anaphoria Island <http://anaphoria.com/index.html>
> The Wandering Medicine Show
> KXLU <http://www.kxlu.com/main/index.asp> 88.9 FM Wed 8-9 pm Los Angeles
>

🔗Kraig Grady <kraiggrady@...>

8/28/2007 7:21:49 PM

i can't seem to find the O'Connell at the moment. I will have to ask Erv if he has a copy.

Aaron Andrew Hunt wrote:
>
> Thanks again, Kraig. This is just what I was looking for!
> I haven't read the paper yet, but your memory of the
> near-12ET semitone would suggest the scales are the same.
> Here is the same scale I posted before, in cents:
>
> xGenLinearTemperament<13 tones, {phi} = 1.618034...>
>
> 0
> 99.27088907
> 198.54177814
> 297.81266721
> 397.08355628
> 466.18059271
> 565.45148178
> 664.72237085
> 763.99325992
> 833.09029636
> 932.36118543
> 1031.6320745
> 1130.9029636
>
> Cheers,
> Aaron Hunt
> H-Pi Instruments
>
> --- In MakeMicroMusic@yahoogroups.com > <mailto:MakeMicroMusic%40yahoogroups.com>, Kraig Grady > <kraiggrady@...> wrote:
> >
> > I am not sure if it is the same 13 tone Phi scale but the Temes is here.
> > http://anaphoria.com/temes.PDF <http://anaphoria.com/temes.PDF>
> > As far as I know this is the first mention of the posibility of using
> > this musically.
> > I thought there was a link to it but it seems to be missing.
> >
> > a good visualization of the Phi series forming MOS patterns is here
> > http://anaphoria.com/hrgm.PDF <http://anaphoria.com/hrgm.PDF> page > 24 or horogram 22.
> > I seem to remember that the one of the intervals is almost exactly 100
> > cents?
> >
> > Aaron Andrew Hunt wrote:
> > >
> > > Thanks, Kraig. This is what I was hoping to find out about. I know
> > > about McLaren and Burt, but can you point me to a source for the
> > > Temes-o'Connell phi scale?
> > >
> > > Thanks,
> > > Aaron Hunt
> > > H-Pi Instruments
> > >
> > > --- In MakeMicroMusic@yahoogroups.com > <mailto:MakeMicroMusic%40yahoogroups.com>
> > > <mailto:MakeMicroMusic%40yahoogroups.com>, Kraig Grady
> > > <kraiggrady@> wrote:
> > > >
> > > > Is this different than the 13 tone phi scale put forth by Loren
> > > Temes in
> > > > 1970 ( along with Walter o'Connell) and found in the first Horogram?
> > > > Actually it seems to be somewhat different.
> > > >
> > > > If not At least Warren Burt. But i think McLaren and Choning also.
> > > >
> > > > Aaron Andrew Hunt wrote:
> > > > >
> > > > > Has anyone here done anything with this tuning?
> > > > >
> > > > > xGenLinearTemperament<13 tones, {phi} = 1.618034...>
> > > > >
> > > > > 1.
> > > > > 1.05901699437494745126286943559535
> > > > > 1.12151699437494745126286943559535
> > > > > 1.18770555652338161145564754406223
> > > > > 1.25780036867181577164842565252911
> > > > > 1.30901699437494745126286943559535
> > > > > 1.38627124296868431407858679449419
> > > > > 1.46808480511711847427136490296107
> > > > > 1.55472675780266134104579123231815
> > > > > 1.6180339887498949025257388711907
> > > > > 1.71352549156242117689430415339302
> > > > > 1.8146526158592897193244652953581
> > > > > 1.92174795908194084859132999554276
> > > > >
> > > > > Or do you know of someone who has used it?
> > > > >
> > > > > Yours,
> > > > > Aaron Hunt
> > > > > H-Pi Instruments
> > > > >
> > > > >
> > > >
> > > > --
> > > > Kraig Grady
> > > > North American Embassy of Anaphoria Island
> > > <http://anaphoria.com/index.html <http://anaphoria.com/index.html> > <http://anaphoria.com/index.html <http://anaphoria.com/index.html>>>
> > > > The Wandering Medicine Show
> > > > KXLU <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>
> > > <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>>> 88.9 FM Wed 8-9 pm Los Angeles
> > > >
> > >
> > >
> >
> > --
> > Kraig Grady
> > North American Embassy of Anaphoria Island > <http://anaphoria.com/index.html <http://anaphoria.com/index.html>>
> > The Wandering Medicine Show
> > KXLU <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>> 88.9 FM Wed 8-9 pm Los Angeles
> >
>
> -- Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/index.html>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main/index.asp> 88.9 FM Wed 8-9 pm Los Angeles

🔗Kraig Grady <kraiggrady@...>

8/28/2007 7:36:41 PM

The O' Connell is in Xenharmonikon 15!

Kraig Grady wrote:
>
> i can't seem to find the O'Connell at the moment. I will have to ask Erv
> if he has a copy.
>
> Aaron Andrew Hunt wrote:
> >
> > Thanks again, Kraig. This is just what I was looking for!
> > I haven't read the paper yet, but your memory of the
> > near-12ET semitone would suggest the scales are the same.
> > Here is the same scale I posted before, in cents:
> >
> > xGenLinearTemperament<13 tones, {phi} = 1.618034...>
> >
> > 0
> > 99.27088907
> > 198.54177814
> > 297.81266721
> > 397.08355628
> > 466.18059271
> > 565.45148178
> > 664.72237085
> > 763.99325992
> > 833.09029636
> > 932.36118543
> > 1031.6320745
> > 1130.9029636
> >
> > Cheers,
> > Aaron Hunt
> > H-Pi Instruments
> >
> > --- In MakeMicroMusic@yahoogroups.com > <mailto:MakeMicroMusic%40yahoogroups.com>
> > <mailto:MakeMicroMusic%40yahoogroups.com>, Kraig Grady
> > <kraiggrady@...> wrote:
> > >
> > > I am not sure if it is the same 13 tone Phi scale but the Temes is > here.
> > > http://anaphoria.com/temes.PDF <http://anaphoria.com/temes.PDF> > <http://anaphoria.com/temes.PDF <http://anaphoria.com/temes.PDF>>
> > > As far as I know this is the first mention of the posibility of using
> > > this musically.
> > > I thought there was a link to it but it seems to be missing.
> > >
> > > a good visualization of the Phi series forming MOS patterns is here
> > > http://anaphoria.com/hrgm.PDF <http://anaphoria.com/hrgm.PDF> > <http://anaphoria.com/hrgm.PDF <http://anaphoria.com/hrgm.PDF>> page
> > 24 or horogram 22.
> > > I seem to remember that the one of the intervals is almost exactly 100
> > > cents?
> > >
> > > Aaron Andrew Hunt wrote:
> > > >
> > > > Thanks, Kraig. This is what I was hoping to find out about. I know
> > > > about McLaren and Burt, but can you point me to a source for the
> > > > Temes-o'Connell phi scale?
> > > >
> > > > Thanks,
> > > > Aaron Hunt
> > > > H-Pi Instruments
> > > >
> > > > --- In MakeMicroMusic@yahoogroups.com > <mailto:MakeMicroMusic%40yahoogroups.com>
> > <mailto:MakeMicroMusic%40yahoogroups.com>
> > > > <mailto:MakeMicroMusic%40yahoogroups.com>, Kraig Grady
> > > > <kraiggrady@> wrote:
> > > > >
> > > > > Is this different than the 13 tone phi scale put forth by Loren
> > > > Temes in
> > > > > 1970 ( along with Walter o'Connell) and found in the first > Horogram?
> > > > > Actually it seems to be somewhat different.
> > > > >
> > > > > If not At least Warren Burt. But i think McLaren and Choning also.
> > > > >
> > > > > Aaron Andrew Hunt wrote:
> > > > > >
> > > > > > Has anyone here done anything with this tuning?
> > > > > >
> > > > > > xGenLinearTemperament<13 tones, {phi} = 1.618034...>
> > > > > >
> > > > > > 1.
> > > > > > 1.05901699437494745126286943559535
> > > > > > 1.12151699437494745126286943559535
> > > > > > 1.18770555652338161145564754406223
> > > > > > 1.25780036867181577164842565252911
> > > > > > 1.30901699437494745126286943559535
> > > > > > 1.38627124296868431407858679449419
> > > > > > 1.46808480511711847427136490296107
> > > > > > 1.55472675780266134104579123231815
> > > > > > 1.6180339887498949025257388711907
> > > > > > 1.71352549156242117689430415339302
> > > > > > 1.8146526158592897193244652953581
> > > > > > 1.92174795908194084859132999554276
> > > > > >
> > > > > > Or do you know of someone who has used it?
> > > > > >
> > > > > > Yours,
> > > > > > Aaron Hunt
> > > > > > H-Pi Instruments
> > > > > >
> > > > > >
> > > > >
> > > > > --
> > > > > Kraig Grady
> > > > > North American Embassy of Anaphoria Island
> > > > <http://anaphoria.com/index.html > <http://anaphoria.com/index.html> <http://anaphoria.com/index.html > <http://anaphoria.com/index.html>>
> > <http://anaphoria.com/index.html <http://anaphoria.com/index.html> > <http://anaphoria.com/index.html <http://anaphoria.com/index.html>>>>
> > > > > The Wandering Medicine Show
> > > > > KXLU <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>
> > <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>>
> > > > <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>
> > <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>>>> 88.9 FM Wed 8-9 pm Los Angeles
> > > > >
> > > >
> > > >
> > >
> > > --
> > > Kraig Grady
> > > North American Embassy of Anaphoria Island
> > <http://anaphoria.com/index.html <http://anaphoria.com/index.html> > <http://anaphoria.com/index.html <http://anaphoria.com/index.html>>>
> > > The Wandering Medicine Show
> > > KXLU <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>
> > <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>>> 88.9 FM Wed 8-9 pm Los Angeles
> > >
> >
> >
>
> -- > Kraig Grady
> North American Embassy of Anaphoria Island > <http://anaphoria.com/index.html <http://anaphoria.com/index.html>>
> The Wandering Medicine Show
> KXLU <http://www.kxlu.com/main/index.asp > <http://www.kxlu.com/main/index.asp>> 88.9 FM Wed 8-9 pm Los Angeles
>
> -- Kraig Grady
North American Embassy of Anaphoria Island <http://anaphoria.com/index.html>
The Wandering Medicine Show
KXLU <http://www.kxlu.com/main/index.asp> 88.9 FM Wed 8-9 pm Los Angeles