posted on Aug, 27 2013 @ 04:57 PM
I have researched a lot of weird and wonderful things over the past decade and have scrabbled around in the dark in trying to gain an understanding of
various arts and sciences.
Then it was time for music.
Some strange impulse made me buy a King David Kinnor, and intuition told me that I could find an amazing tuning for it...
I am kind of new to studying music, I've only been at it a year and I can't say I really have a good understanding of the ins-and-outs of musical
theory, but I think I may have found something quite interesting so I'm here to share.
I didn't find this scale right away, first time... It's the result of mountains of scrap paper, thousands of calculations, hundreds of tunings, and
quite a few weird happenings.
The series of numbers below are hertz values of my scale.
Nine Octave (Unison)
1056
864
768
696
582
528
432
384
348
291
264
216
192
174
The first ten frequencies, from 174Hz to 582Hz, comprising five separate octaves, are the ones I play most often on my ten-string Kinnor/Lyre.
The higher frequencies, from 696Hz to 1056Hz, I calculated using the evident pattern of octaves in the first ten frequencies. Basically, when in
order, every sixth frequency is doubled/halved.
This gave me enough frequencies to be able to try to create another scale, working in simple ratios as you see in just intonation. I just took the
original frequencies, divided them by the larger number of the ratio, and multiplied the answer by the smaller number of the ratio.
For a 5/3 ratio:
528 / 5 = 105.6
105.6 x 3 = 316.8
Repeating this for all the frequencies gave me the scale you see below.
5/3 (Major Sixth)
633.6
518.4
460.8
417.6
349.2
316.8
259.2
230.4
208.8
174.6
158.4
129.6
115.2
104.4
I tuned my instrument to ten adjacent notes on this scale and it sounded wonderful again!
So I had another go.
3/2 (Fifth)
704
576
512
464
388
352
288
256
232
194
176
144
128
116
Again, tuned to ten adjacent notes, entirely different, but still completely beautiful.
I had another go...
4/3 (Fourth)
792
648
576
522
436.5
396
324
288
261
218.25
198
162
144
130.5
And another,
5/4 (Major Third)
844.8
691.2
614.4
556.8
465.6
422.4
345.6
307.2
278.4
232.8
211.2
172.8
153.6
139.2
All in tune.
So it seems that using my original scale as a reference, you can use ratios from just intonation to create new scales that are automatically perfectly
in tune (to my ear anyway). There are many different ratios to experiment with.
It's changed my life in the space of a few months, going from not being able to play an instrument, to being able to express myself beautifully
through soul-stirring sound. I've given these frequencies here so that if you decide to get yourself a fretless stringed instrument akin to the King
David Kinnor, you can pick it up and play wonderful improvisations, in-tune, straight away.
If you have any knowledge of ancient civilizations, the universe, sacred geometry, nature, physics etc. you might recognise some of the numbers.