After much confusion, reading, research and frustration I have finally made sense of your various arguments about what (+cents) number should be used to change the master tune in your DAW/Synthesizer/Instrument in order to make your DAW/Synthesizer/Instrument perfectly generate a 528hz C4 tone.
Now first I start off by quoting Blasterix because his theory seemed to have a lot of merit and nobody responded to his analysis/theory. However, I also think it has merit for me because both Blasterix and I use Logic Pro as our DAW. (Find the quote of his theory at the bottom of my overly long post)
Now after doing extensive frequency analysis experimentations by changing the master tune of logic by different amounts while oscillating C4 sine waves from multiple sources in different recordings. I have found the perfect +cent amount that exactly equals 528.00hz down to 2 decibel places. (I only mention 2 decibel places because thats as far as my frequency software analysis goes to. (I am using Praat on Mac OS X 10.5.6). (Please let me know if you have an analysis program for mac os that goes down to further decibel places)
First I started the experiment by using the +12 cent master tune adjustment (which Logic says is 443.1hz) (to achieve a 528hz C) which is suggested by Dr. Leonard G. Horowitz and Michael Walton on both http://www.love528.com
as well as mentioned earlier in this forum thread and also on the youtube videos posted by them. Using Logic 9's EXS24 initial setting that generates sinewaves (if you do not load a sample kit) the analysis of C4 played at this position generates a C4 Tone with nearly the exact frequency of 527hz. Not 528hz.
In the same test I used Blasterix's +15cents (he says it as 15%) (which is 443.8hz according to logic pro) and this test produced a signal that created a C4 Tone that has a frequency of almost exactly 527.755hz. After this test I noticed that this was even closer to the perfect Solfeggio C4 Tone of 528hz.
However, it was not quite 528.00hz. So I kept messing around with different +cents values and eventually discovered that +16 cents (roughly 444.0 - 444.1hz in Logic Pro) resulted in a PERFECT 528.00hz resonant C4 note. Since Logic says it is 444.1hz and it doesn't give you more than one decibel point... my guess is that it is somewhere around 444.04-444.09hz. (I mention this because I think logic rounds up the decimal place but I am not sure)
Now before you take apart my results I would like to state my MAIN THEORY.
I believe that the results you get can vary based on several factors.
1. The DAW you are using
2. The tone generator you are using.
3. The software that you are using to analyze the frequency spectrum.
4. The PC/Mac system you are using (maybe).
5. Your Soundcard (maybe).
Regardless of these facts Praat is extremely precise in its frequency analysis capabilities and it is my conclusion that WITHIN THE LOGIC PRO ENVIRONMENT the best Master Tune setting to use in order to get as close to 528hz as possible... is +16cents.
In conclusion on this topic I am merely reopening the discussion on the precision of settings and numbers that others mention. I am not a mathematician, nor do I claim to be one. But these experiments speak for themselves. I would like further assistance in researching and learning about this topic because at the most fundamental level "528hz" is the most important factor/goal for all of us. The closer we can get to this geometrically harmonious frequency the better!
On another note I would like to clear something up that I feel confuses most musicians when they are first trying to comprehend how to setup a digital audio workstation to be tuned to the C=528hz Solfeggio Scale Spectrum. I have only heard this question answered once in this thread and it was by Dr Len. Here is the quote of the question and his answer:
"Aaron: Also, I can understand people wanting to tune their instruments to incorporate all 9 of the frequencies, especially if they are being called the original Solfeggio scale.
DrLen: NO! Please do not do this. It will sound horrible. Not melodious. Tune one string to one of the frequencies, and then the rest to that one. Start with the middle "C" in 528Hz. Then all the strings will be tuned to that frequency, and you can simply play normally and melodiously."
I feel that this explanation falls extremely short of what should be an extremely simple explanation for musicians. The answer to this question is that each frequency they mention in the graph that they use corresponds to the ROOT NOTE of a scale which is based on each of these frequencies being used as the ROOT NOTE TUNING:
For example here is their original graph for tuning:
|Perfect Circle Of Sound| |Korg Oasys Tuning Adjustments|
528hz = C 443.06hz (C) or (+12) cents)
285hz = D 427.37hz (D) or (-50 cents)
639 hz = E Flat 451.07Hz (E Flat) or (+43 cents)
174 hz = F 437.97hz (F) or (-08 cents)
396hz = G 444.09hz (G) or (+16) cents)
852h hz = A 427.47hz (A) or (-50 cents)
963 hz = B 428.96hz (B) or (-44 cents)
417 hz = G# 443.06hz (G#) or (+12 cents)
714 hz = F# 440.00hz (F#) or (+00 cents)
Now here is what they should add to this graph to make it easier to understand for musicians:
|Perfect Circle Of Sound(ROOT NOTES)| |Korg Oasys Tuning| |SCALE|
528hz = C 443.06hz (C) or (+12) cents) C Major, A minor
285hz = D 427.37hz (D) or (-50 cents) D Major, b minor
639 hz = E Flat 451.07Hz (E Flat) or (+43 cents) Eb Major, c minor
174 hz = F 437.97hz (F) or (-08 cents) F Major, d minor
396hz = G 444.09hz (G) or (+16) cents) G Major, e minor
852h hz = A 427.47hz (A) or (-50 cents) A Major, F# minor (avoid)
963 hz = B 428.96hz (B) or (-44 cents) B Major, G# Minor (avoid)
417 hz = G# 443.06hz (G#) or (+12 cents) G# Major (avoid), f minor (avoid G#)
714 hz = F# 440.00hz (F#) or (+00 cents) F# Major (avoid), Eb minor (avoid F#)
For all of the musicians out there.. the simplest I can put this is: Perfect Circle Of Sound Frequency #hz = tuning of the ROOT NOTE mentioned. That is all! You do not need to tune every note on your instrument to these frequencies. Just tune your C4 to 528hz and then tune the rest of your instrument accordingly.
Also, avoid F# and G# in any of the scales due to the dissonance which they create in the entire frequency spectrum no matter what scale you are playing.
I will create a new (+/-cents) model for each scale based off of my findings that +16 cents = 528.00hz for the Logic Pro users. I also plan on trying the same tests in Ableton tomorrow to see if the conclusions are different... which will prove my hypothesis that each DAW and virtual instrument may generate slightly different tones.
I am not 100% sure about what I just mentioned but I think it is what Dr. Len is trying to explain when he says not to tune every note to the Solfeggio frequencies that are mentioned in this graph: http://love528.com/LOVE528/528_Tuner_files/SynthesizerSolfeggioRetuningChart.jpg
Here is another attempt at a simple explanation of the Solfeggio Scale Tuning: What we find is that we are simply shifting the FREQUENCY of the ROOT NOTE in a GIVEN SCALE... to the original DIVINE TUNING that matches the frequency of that root note as represented in the solfeggio frequencies... and that the ratios between the root note and the rest of the scale should remain the same. Thus, if you tune your guitar's C4 note to 528hz you should tune the rest of your guitar using the same harmonic intervals that you would normally hear if you were tuning your guitar regularly. (Or for digital workstations just change the master tune in your synthesizer or DAW by 12cents - 16cents [needs more research]) Otherwise our entire system of chords, musical theory and chord progression breaks down.
Ugh, that sounded simpler in my head. Either way, lets work together to create a universal standard for this concept so that every musician on the planet won't have to learn the math and do the research before he/she can fully utilize the sacred Solfeggio Frequencies! We need to make this easy to explain so that divine frequencies can spread across the earth.
Thanks for reading this long and most likely nonsensical post. I felt that I needed more clarity and getting my thoughts written down has helped with this process. I can't wait for your encouragement, criticisms and guidance. Now is the time to spread our light and love and there is no vehicle which is more powerful than music to cohesively congregate the geometric harmony which permeates our universe.
Infinite Love and Light,
Posted By Blasterix on 11-17-2009 06:33 AM
I am an electronic music producer and I saw your video about the sacred frequencies and how to tune instruments into those frequencies with Michael Walton. I look into your site to and after I tried with Apple Logic, the sequencer that I use normally, to tune it with those frequencies.
I find few points in which I am not sure if I understood well your explanations.
1) to tune into 528 the C note (Do) it is necessary to master tune the keyboard at A=444Hz (+15%) and not as the Michael explaned in the video +12% or 443 that would give a C of 526.8 Hz
2) if you just master tune the keyboard either at +15% 444 Hz or as micheal said at +12% 443 Hz the other notes never will never fall into the others frequencies of the sacred cyrcle.
3) to be able to use all frequencies of the sacred cyrcle I tried to tune all the note of the keyboard different:
F +5% = 174.1 Hz (174)
D +51% = 285.1 Hz (285)
G +18% = 396.1 Hz (396)
G# +7% = 417.1 Hz (417)
C +15% = 527.9 Hz (528)
D# +46% = 638.8 Hz (639)
F# + 3% = 741.1 Hz (741)
A - 56% = 852.1 Hz (852)
B - 44% = 962.9 Hz (963)
This allowed you to use all the frequencies together when you are playing but it is very complicate and only the Logic audio instruments will work.
I have an Access Virus TI Synth and only the master tune function is available and not the tuning of all the notes.
Did I do something wrong or missunderstood the instruction?