Interesting 34560 Harmonic

[omearatom]

hi group,

just noticed in today's news an interesting harmonic of 34560, one that
is a "holy grail to the commercial aerospace industry and the military".

340ghz (which might as well be 345.6 ghz: 10,000,000 * 34560)

http://www.physorg.com/news95937386.html

tom

[d. franz zzyrch clark]

34560 = 5 times 4 times 12 to the 3rd power...

[Art]

this is basically a repeat of clark's post

prime factorization is taking a composite number such as 34560 and continually dividing until you reach a prime number.

(prime number)
^n = base raised to that power (8, 3, 1 respectively)
x = times

(2)^8 x (3)^3 x (5)^1

any ideas on factoring 34560 by different numbers?

[d. franz zzyrch clark]

just want to state here how i came across the number '3456'...around twenty years i formulated a system of deriving 11 more 12-tone rows that were in essence variations of a given 12-tone row.since this is not a composers' forum i'll spare the details.however,in all, i thought it was interesting that 2 times 12 to the 3rd power yields '3456'.and when mr. wilcock reported his findings on the cosmic number '34560', i was rather impressed by that.(there is a continuity of the number 'twelve' in measurement of time,the color-wheel,& in the division of the musical-octave,to state the obvious)

[A432]

34560 is divisible by 9 and is an harmonic of the ancient solfeggio system presented by g.w. hardin. dividing 34560 by 2 (dropping it down by octaves) will eventually give you 135 hz. 135 hz is the lowest whole number frequency of the angelic seed scale #3. using the pythagorean skein, this nine note scale becomes:

135
246
357
468
579
681
792
813
924


what makes a scale a solfeggio?
1. all of the tones in sequential order must be 111 hz. apart using pythagorean skein.
2. each scale must be 12 hz. apart from it's adjoining scale using pythagorean skein.
3. adding any two or more frequencies will always yield another solfeggio frequency.
4. the sum of the scale frequencies will always add up to 999 hz. (pythagorean skein).
5. the horizontal sum of all frequencies across all scales always adds up to 999 hz.
(source: soundsofwonder.com)

579 would be related to dna

if you add the sum total of each frequency and reduce to a single digit (thinking mathematics not numerology) you get the following pattern:

135 (9) 1+3+5=9
246 (3) 2+4+6=12=3 etc.
357 (6)
468 (9)
579 (3)
681 (6)
792 (9)
813 (3)
924 (6)

there are 81 tones in all. you always get the 369 pattern, even with the higher harmonics. in vortex-based mathematics, the numbers 3, 6, and 9 belong to the spirit world, the aetheron field, the source field. they are the energy which emits a spray of emanations into space-time which provides usable power.

d. franz zzyrch clark, i first learned of karlheinz stockhausen when i read phil lesh's biography, but i haven't heard him yet.

in light and love

[A432]

[quote=a432;62440]34560 is divisible by 9 and is an harmonic of the ancient solfeggio system presented by g.w. hardin.

oops. i meant to say that 34560 reduces to 9 in the mathematical sense:3+4+5+6=18=9.

[Siren Master]

now, i've read a few thousand words on these pages today. of all things, yours created spontaneous joy. wow. thanks so much for this important information. keys going in locks. locks dissolving. breathing fuller right now. whew. needed this.

[bfam4t6]

the enthusiasm surrounding this intrigues me, but i honestly have next to no idea what you guys/gals are talking about.

can anyone point me to a "harmonics for dummys" source? thanks!

[A432]

bfam4t6,

in recent years, i have been trying to learn about harmonics myself. i would like to share some things i have found so far.

because of my interest in playing the guitar, naturally i wanted to know about those beautiful ringing bell-like sounds i heard guitarists making. in a nutshell, i learned that harmonics are frequencies which naturally appear when a musical note is produced. some sounds are not considered musical so much, like the sound of waves crashing on the shore, but they are healing and refreshing. the older i get, the more musical nature is to me. but in terms of playing a note on an instrument, if you produce a sound, let's say a c note, there are an infinite number of sounds which are automatically produced at a higher frequency above that fundamental c note - harmonics. these notes are called the harmonic series. if you ring a bell, you don't really hear just one pitch. you can hear more than one note being produced. you're hearing harmonics. if you don't have a bell, try tapping a wooden spoon on a metallic bowl. the pitches in the harmonic series get more and more subtle, and most people can only hear the closest harmonics to the fundamental pitch. the fundamental is the loudest sound you hear.

it is easy to remember the ratios of the harmonic series. you just count up whole numbers starting on one:

1,2,3,4,5,6,7,8,9,10,11,12, etc.

ratios are division. the fundamental tone is the ratio of 1:1 (1 to 1 or 1 divided by 1 = 1). the second harmonic is 2:1 (2 divided by 1 = 2), the third is 3:2 (3 divided by 2 = 1.5), etc., so you get this pattern:

1:1 c0 (the zero octave or the parent pitch) is the fundamental tone - c
2:1 c1 (an octave higher than c0) so the second harmonic is another c note but an octave higher.
3:2 g1 up a perfect fifth from the previous harmonic - c1
4:3 c2 up a perfect fourth from the previous harmonic - g1
5:4 e2 up a major third from c2
6:5 g2 up a minor third from e2
7:6 bb2 (b flat) up a minor third from g2
8:7 c3 up a major second from bb2
9:8 d3 up a major second from c3
10:9 e3 up a major second from d3
11:10 f#3 (f sharp) up a major second from e3
12:11 g3 up a minor second from f#3

etc....forever. the pitches from here on keep becoming smaller and smaller minor seconds. the harmonics started out large: an octave, then 5ths, then 4ths, then major 3rds, then minor thirds, then major seconds, and finally minor seconds getting smaller and smaller in size forever.

one last thing, notice each octave keeps doubling in size.

the zero octave has 1 note
the first octave has 2 notes
the second octave has 4 notes
the third octave has 8 notes (i didn't take it that far, but it keeps going to 16 notes per octave, 32, 64, 128, etc. have you ever imagined a musical scale with 128 notes in it? it's the doubling/halving circuit marko rodin talks about, cell growth, plant growth, sacred geometry, wow.

i gave a long answer. i hope it wasn't too much.

now that we are in 2012, and we have received the 11:11:11 triple portal energy, it is becoming easier to clear our negative emotions which are lower vibrational frequencies. everything is coming up faster and faster to be cleared. i think we are moving through a series of emotional frequencies, through the 4th dimension, to reach a higher octave, the 5th dimension. the musical analogy really applies to what we are experiencing, i think.

good luck (harmonically speaking)