Ultimate harmonics theory explained.....

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garbeaj
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Re: Ultimate harmonics theory explained.....

Post by garbeaj » Thu Jan 19, 2017 11:55 am

I'm not the man! I'm just the man that records and uses Eddie's tunings...but thanks!

Plexified is really talking about something completely different from what Eddie did. As far as I can tell, plexified is just talking about what he has discovered that works well for him.

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garbeaj
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Re: Ultimate harmonics theory explained.....

Post by garbeaj » Thu Jan 19, 2017 2:50 pm

67 Melody Maker wrote:
garbeaj wrote:I'm not the man! I'm just the man that records and uses Eddie's tunings...but thanks!

Plexified is really talking about something completely different from what Eddie did. As far as I can tell, plexified is just talking about what he has discovered that works well for him.
Allen, I've lost track of where 413Hz came from.

I thought I got that from your tuning thread. :scratch:
That's not from me...at the beginning of my tuning thread I was using a StroboClip tuner which did not have adjustable cent references but it did have adjustable Hz references for A so I first tried adjusting the A reference for each string and compared it to the recordings.

Later on I abandoned changing the Hz references for each string because the cent references are MUCH easier to understand and likely what Eddie referred to when he used his old mechanical Peterson strobe tuners.

502_6speed
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Re: Ultimate harmonics theory explained.....

Post by 502_6speed » Fri Jan 20, 2017 7:47 am

67 Melody Maker wrote:I found this which might help 502_6speed with his question:

Traditionally, the A4 (A, 4th octave) is 440 Hz.
A physical law says that the frequency for the same note played one octave up will be doubled. For example, A5 will be 880 Hz.
Due to this, splitting one octave into 12 logarithmic, equally-spaced intervals means that each note frequency is equal to the frequency of the previous (lower) semitone multiplied by the 12th root of 2, i.e. about 1.059463094359.
This means that A sharp (or B flat) of octave 4 will be 440 x 1.059463094359 = 466.16 Hz
In the same way, A flat (or G sharp) of octave 4 will be 440 / 1.059463094359 = 415.3 Hz

Thanks to this, we can calculate all the frequencies for each semitone in the fourth octave (and by extension, in every octave, because we just have to multiply or divide these frequencies by 2 to get the values for adjacent octaves):


C 4: 261.63 Hz
C 4 sharp (or D 4 flat): 277.18 Hz
D 4: 293.66 Hz
D 4 sharp (or E 4 flat): 311.13 Hz
E 4: 329.63 Hz
F 4: 349.23 Hz
F 4 sharp (or G 4 flat): 369.99 Hz
G 4: 392 Hz
G 4 sharp (or A 4 flat): 415.3 Hz
A 4: 440 Hz
A 4 sharp (or B 4 flat): 466.16 Hz
B 4: 493.88 Hz
Melody Maker, this is the exact info I was looking for

The precision "A flat" tuning will be 415.3Hz if your "A4" tuning is 440Hz

"A4" tuning 440Hz
"A4" ultimate harmonics tuning 430.65Hz
"A4 flat" ultimate harmonic tuning 422.82Hz
"A flat" tuning 415.3Hz

Funny thing, last night I was tuning my guitar to the CCR song "Lodi" and guess what, that song is tuned in at A4 430.65Hz. Coincidence? I highly doubt it!

Thanks again Melody Maker for taking the time with the precision formula explanation, I appreciate it greatly.

Thanks to you too plexified for starting this thread, I am a believer of the ultimate harmonics theory.
Last edited by 502_6speed on Fri Jan 20, 2017 7:50 am, edited 1 time in total.

Red
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Re: Ultimate harmonics theory explained.....

Post by Red » Mon Jun 10, 2019 10:15 am

Hi all, so excited to find this, have only read up to plexified's post dated Nov 9 2016.......describes just what I'v found tho as a non-musician, just a music entusiast. Except my speakers behave that way as described with your guitar when tuning misic files to my favourite 422.82 ( necessary percentage change to pitch done with Audacity which is freeware if anybody interested, excellent for playing with sound files). Have now converted all my music now from standard ISO 440 hz to 432 my favorites to 430.65 & 422.82. If it sounds terrible in 440 I gurantee you with the odd exception it will sound fantastically better & better going to 432 to 430.65 & then 422.82. Am so convinced I've recently set up my YOUTUBE Channel comparing these tunes, just Google or Youtube: "422.82" to find my videos, which is how I found your forum - excellent !!! My channel is "Top Quality Firewood & Stone Masonry", a bit there to do with my work also, firewood, tree felling, logging, rock work, etc. What i've found looking at the Digital Root Numbers of the octaves / frequencies may be a rational explanation of this topic here, see my video "432 Hertz Tuning, part 3". Digital Root number is all digits of any number added up to just 1 digit, like numerologists do, will be 1 thru 9. 9 seems to be most powerfull / best sounding followed by 3 & 6. 432, 430.65, 422.82 &7.83 schumann resonance fundamental are all 9. I've looked at 432 piano tunings for all notes / octaves & they're all or very close to 9 6 or 3 which I suggest is just a rounding error, the margin out of being bang on is usually 0.01 or 0.02 of a hertz - need all the decimal places to give correct digital root number. Now consider that 432 divided by 8 is 54 as is 422.82 / 7.83, 54th harmonic, 54 is a 9. 430.65 is the 55th 7.83. 55=10=1. So 422.82 sounds that bit better, the tune a 9 & so is the sequential harmonic = extra better. / best. I guess tho that many a musician would say 422.82 sounds too flat pitch wise? Happy to continue this thread if of interest to you all, cheers, Red
Google 422.82 - Top Quality Firewood & Stone Masonry

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