Sunday, August 12, 2012

The Harmonic and Subharmonic Ogdoads with 12 Tones

This quick note written between other papers dated from 1996 shows the possibility of placing a the 13 limit with the harmonic and subharmonic series within a single 12 tone series. Placed at the distance of the 15 means that both series also have the 15th  of their series. The idea of placing these two series apart like this can be seen on page 15 of  http://anaphoria.com/earlylattices12-.pdf
That scale of Gary David illustrates 2 harmonic and 2 subharmonic 9 limit pentads with 12 tones.  He was the first to point out the use of the 15 as a mirror point with 12 tone scales which here we can see is applied in a slightly different way.

Thursday, June 7, 2012

Kornerup Notes

http://anaphoria.com/kornerup.pdf
Here is the second page to a new file  http://anaphoria.com/kornerup.pdf which gives a nice comparison between Yasser and Kornerup whose series are maybe not as close as has been assumed. An unfortunately damaged excerpt of Kornerup can be found in this section
http://anaphoria.com/library.html
It is not clear off hand what Wilson means here by 7/6 meantone. Comments are welcome on this point.

Monday, June 4, 2012

Adding to RAST.PDF

This shows the scale with neutral thirds (Rast-like) evolving by a set of tetrachords.


Friday, May 25, 2012

A 22-tone Diaphonic Scale

 This is a rare occurrence of Wilson presenting a Diaphonic Scale in its Harmonic over it Subharmonic form. Other Diaphonics scales are presented in the first section of the Wilson Archives and one can also find a comment of Diaphonic scales. The two pages have been edited placing the two charts together to allow them to be viewed easily at the same size.
A PDF of these pages is available here.

Saturday, March 10, 2012

A Double Bosanquet Keyboard or the 2/7 keyboard

I have to thank George Secor for posting this keyboard. It illustrates how one might introduce doubled rows [running bottom left to upper right] to accommodate such tunings as using the half fifth as a generator.
Later Erv would relabel this keyboard the 2/7 keyboard as seen on page 8 of http://anaphoria.com/gralspectrum.pdf . One can see how then the generator lies in the half of 3/2 range.

Wednesday, October 19, 2011

Saturday, September 24, 2011

Hobo Coffee

In a letter from Erv the other day, he found it important that the recipe for Hobo Coffee he learned from Partch be included in the Archive.

Black Coffee
(one) whole Cardamon seed.

Since Hobos could not carry milk the cardamon seed was the replacement