Mike Gibbs at the Outpost |
~~~~~~~~~~Updates From The Visionary Geography of Anaphoria Island. Mesotonal Music. (Just intonation and Microtonal systems).
lunar aspect
Friday, April 20, 2012
Meeting Mike Gibbs
Wednesday, April 18, 2012
Additions To The Augusto Novaro Society
The Minovar of Augusto Novaro |
Wednesday, February 22, 2012
A tuning for Satie's Vexations
I was asked to provide a tuning along with others to be included in a shorten performance of Satie's piece as apart of Microfest 2012.
Here is the final tuning
I decided to take a conservative approach to the problem. I thought I might rely on some historical model of music like Vexations that involves repeats over a long period of time. The one that came to mind was Pibroch, a style of bagpipe playing. The bagpipe tuning is quite impressive. It avoids simple ratios of most consonances leaving any repose in the melody to still be propelled forward by ratios of mild acoustical dissonance. The tuning also has some proportional triads. These type of triads have difference tones that support notes in the chord or scale which provides an overall unity, yet can depending on its complexity, can suspend the music in the air for undetermined periods of time without really resolving yet still reinforcing the tones being used. This is used to great effect with melodies repeated for hours.
Vexations with its preponderance of diminished triads made me look for the simplest proportional triad of this shape. The simplest one I could find was one of E. Wilson’s recurrent sequences A+C=F which he labeled as Meru 8. This eventially will converge on a chain of minor thirds 306.75991106 cents in size but there is a fair bit of oscillating back and forth that gives sometimes for some nice variation.
If you are unfamiliar with these types of scales look here
To seed this formula, I took the Lucas Series that Satie was fond of. This series is like the Fibonacci series but starts with 1 and 3 instead of 1 and 2 and adds them together and continues this process with the answer and the last number added [1+3=4, 3+4=7, 4+7=11, etc.]. Using the 1-3-4-7-11 to seed the sequence that is then treated as harmonics, the series was continued until it converged to within a cent, and enough to place the 21 different pitches in a consistent order one finds notated in the score. Much to my surprise the first place where I could find this started on the 43,184th harmonic which effortlessly unfolded like a snail shell up to the 73,676,000th harmonic (odd harmonics happen in between to prevent a simpler reduction).
Here is the sequence
1............[A+
3
4 ............C=
7
11
5............. F]
10
15
12 You can see here that at the beginning of the pattern you can have a lower number occur. this is why you have to take it so high
21
20
22
36
32
43
56
54
79
88
97
135
142
176
223
239
311
365
415
534
604
726
899
1019
1260
1503
1745
2159
2522
3005
3662
4267
5164
6184
7272
8826
10451
12436
15010
17723
21262
25461
30159
36272
43184 THE SCALE STARTS HERE=and we take it out to 43 places to close out our cycles of
51421
61733
73343
87693
104917
124764
149426
178260
212457
254343
303024
361883
432603
515481
616226
735627
877364
1048829
1251108
1493590
1784456
2128472
2542419
3035564
3622062
4326875
5164036
6164481
7362439
8786098
10491356
12526475
14950579
17853795
21312573
30380270
36263152
43295730
51692843
61705087
73676000
This puts the fundamental at a little over 3.5 kilometers in length which tempted me to proceed up high up the harmonic series until I reach a fundamental distance equal to the time sounds travel during the length of the performance, but like I said, I decided to take a conservative approach for the moment.
Even with this sequence we can see in the diagram below that besides the 43 tone scale we ended up using where the 11 unit is equal to our minor third generator. we could have also used all those scales from the 6 units of a 23 up through a 27, 31, 35, and 39 tone scale with the numerator being the number of units steps the minor third. The 43 tone scale used ends up being about .216 away from equal.
Monday, February 20, 2012
Commerical for a Western
Here is my one composition for Chamber Orchestra.
http://anaphoria.com/westerncommercial.mp3 The recording is from 1986 and appeared on a concert i put together at the Japan American Theater for 18 three minute works. Since i had what i considered a more important show. The premiere of my 3 projector film Long Gunn but not Forgotten I though well 3 minutes is like an advertisement anyway so i decided to do one for this upcoming show. I enjoy the fact that i was able to use a chamber Orchestra to advertise a concert on my self-made instruments. The Narrator in John Callahan who also appeared as the Sheriff in the film. He did an amazing job even though he didn't have had a chance to rehearse with the Orchestra before hand. Don Crockett conducted.
http://anaphoria.com/westerncommercial.mp3 The recording is from 1986 and appeared on a concert i put together at the Japan American Theater for 18 three minute works. Since i had what i considered a more important show. The premiere of my 3 projector film Long Gunn but not Forgotten I though well 3 minutes is like an advertisement anyway so i decided to do one for this upcoming show. I enjoy the fact that i was able to use a chamber Orchestra to advertise a concert on my self-made instruments. The Narrator in John Callahan who also appeared as the Sheriff in the film. He did an amazing job even though he didn't have had a chance to rehearse with the Orchestra before hand. Don Crockett conducted.
Sunday, February 5, 2012
Zephyros
Saturday, January 21, 2012
The Pentatonic Family pt.2/expanded
Wednesday, December 7, 2011
The Nature of Music is as much Inner as Outer
I really become more and more interested in what human beings can do musically. It is an inner reality than comes not from a mere imitating of environmental nature, yet is nothing but an expression of nature itself that we carry and comes out all by itself in a way we still do not understand.
What comes out of humans is such a wider variety than any one person or culture could ever imagine. Look at the different ways people make music, each with its own development, than often is compensatory to how it is used in other cultures. It becomes extremely difficult to reduce music to universal qualities that are common to all. At best we can find some that apply to most, yet in particular, these can vary to a degree that is equally complex.
I prefer to pursuit and defend a path which i see more as going deeper 'into' the human as opposed to only 'outside' of it. What is this 'musical nature" of human beings that some cast as "inferior' to nature as if it has some original sin that must be suppressed. There is something 'puritanical' here.Might this definition of nature be one that only gives it masculine traits and characters, a suppression of all the hidden and truly mysterious workings of nature in places outside the microscope. In the meanwhile music comes out of human beings like breath.
There is much in nature which is beautiful and listenable, and needs to be preserved. This though is as true inwardly than outwardly. The nature we find in the outer world though does not develop although it can be destroyed as is going on world wide [we all know that]. The inner nature though is one that grows and changes in unexpected ways , albeit slowly at times, but this requires a nourishment, more often in it being given expression more than it imitating an outer world. When it imitates it is more often than not inclined toward the imitation of other humans. Even the interest in the environment, might be to big extent, imitating what others humans are doing. Within us too are the plants and varied species that we might water, the ones that grow inside of us and seem to potentially grow without limit. What nature implanted in us, might be so that in a way she might hear herself in a way she can't hear otherwise.
What comes out of humans is such a wider variety than any one person or culture could ever imagine. Look at the different ways people make music, each with its own development, than often is compensatory to how it is used in other cultures. It becomes extremely difficult to reduce music to universal qualities that are common to all. At best we can find some that apply to most, yet in particular, these can vary to a degree that is equally complex.
I prefer to pursuit and defend a path which i see more as going deeper 'into' the human as opposed to only 'outside' of it. What is this 'musical nature" of human beings that some cast as "inferior' to nature as if it has some original sin that must be suppressed. There is something 'puritanical' here.Might this definition of nature be one that only gives it masculine traits and characters, a suppression of all the hidden and truly mysterious workings of nature in places outside the microscope. In the meanwhile music comes out of human beings like breath.
There is much in nature which is beautiful and listenable, and needs to be preserved. This though is as true inwardly than outwardly. The nature we find in the outer world though does not develop although it can be destroyed as is going on world wide [we all know that]. The inner nature though is one that grows and changes in unexpected ways , albeit slowly at times, but this requires a nourishment, more often in it being given expression more than it imitating an outer world. When it imitates it is more often than not inclined toward the imitation of other humans. Even the interest in the environment, might be to big extent, imitating what others humans are doing. Within us too are the plants and varied species that we might water, the ones that grow inside of us and seem to potentially grow without limit. What nature implanted in us, might be so that in a way she might hear herself in a way she can't hear otherwise.
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