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Thread: The 81 Solfeggio Tones

  1. #1

    Default The 81 Solfeggio Tones




    There can be no fewer or no more than these
    81 mathematically-related, 3-digit elements...

    However, these 81 tones can spawn countless, related
    frequencies through multiplying by harmonic ratios.

  2. #2

    Default

    We'll start by dividing all of the tones (shown in the diagram
    in post #1) by their only common denominator, which is 3:




    I've highlighted the consecutively-numbered pairs (i.e. 73 & 74, 86 & 87, etc.)...


    These pairs occur whenever the flow of numbers
    changes from odd to even or even to odd...


    Note that in the above diagram, now 37 becomes the 'primary' number
    as well as the main vertical (in this diagonal diagram) incremental number...


    IOW, there's a difference of 37 between 37 and 74,
    between 74 and 111, between 82 and 119, etc, etc...





    The next image shows the (factor-of-3-reduced) numbers after
    they have been 'Vedically-reduced' down to their digital roots:





    Here the diagonal columns reveal the pattern of 1/4/7, 2/5/8 and 3/6/9;
    the chronologically coherent 'family seeds'...


    The total of all 81 digits is 450 and 450/81=5.55...

    The total of the 9 digits in the highlighted area is 45...


    And uncannily encrypted at the very Center
    of this set of numbers is its Source:


    618
    753
    294

  3. #3

    Default

    The 81 tones are inseparably woven (or yolked) together...

    It's a geometrically-coherent, crystalline structure...

    An archetypal projection emanating directly from the Tetractys


    http://en.wikipedia.org/wiki/Just_intonation


    employs tones that are inter-related members
    of the same harmonic series and are usually represented
    by small number ratios such as 3:2 or 5:4 or 2:1...

    So some of the 81 tones exist in these type of harmonic
    inter-relationships, and one of my goals is to develop a
    method that would allow for a type of harmonic modulation
    by moving through the tones in a manner something like
    Tarzan swinging from one reachable vine to the next...

    In this way, harmonically linking two 'unrelated' tones by
    way of a third tone that is harmonically related to both...

    Or something like that...
    _____________________________

    The relevance of all of this harmonic theory is that by establishing some
    'rules of the road' in how to navigate and combine various elements
    (tones) of the set, one can then achieve the desired emotional or
    therapeutic results depending on the manner in which they're employed...

    {music, kymotropes, healing, or what I'm intending to achieve, a balance of all}

    kymo = wave, trope = to turn

  4. #4

    Default

    Each subset has a different set of 'polarity reversals' or
    patterns of smallest/largest leading frequency.

    (The S and B marked on the diagrams indicate
    which of the pair is 'leading' the smallest or biggest.)


    The 1:8 Beat Frequency subset:





    The 2:7 Beat Frequency subset:






    The 'Classic' 3:6 Beat Frequency subset:






    (note this is the only subset that is NOT Unicursal...
    MultiCursal if you will )

    This specific set of 18 tones include the frequencies that
    are known to most people as the "Sacred Solfeggio Tones"

    What makes this 'beat family' sacred I hear you ask?

    3:6 is an octave

    and we're dealing with
    9
    digits

    let me
    SUM UP
    3,6,9
    =
    18




    The 4:5 Beat Frequency subset:







    If we look at all the 4 sequences and track the
    frequencies linearly we can trace the Spin directions.

    The position of the lowest frequency spirals in a reverse
    direction, inward and then outward again from 1 thru to 9.


    All together now:





    Each '100hz octave group' from 1-9 can
    now be assigned to 8 tones:
    (4 black/ 4 white)
    (shown here in grey for contrast against the background)

    Ordinal Sequence:

    123,135,147,159,162,174,186,198
    234,246,258,261,273,285,297,219
    345,357,369,372,384,396,318,321
    456,468,471,483,495,417,429,432
    567,579,582,594,516,528,531,543
    678,681,693,615,627,639,642,654
    789,792,714,726,738,741,753,765
    891,813,825,837,849,852,864,876
    912,924,936,948,951,963,975,987

    Note the 3rd column = 'standard solfeggios' deosil
    and the 7th column = 'standard solfeggios' widdershins

    Also that the 1st and last BOTH start with the
    lowest frequency of the group ALREADY.

    Easier to see in the linear arrangement:

    Linear Sequence:

    123,135,147,159,162,174,186,198
    219,234,246,258,261,273,285,297
    318,321,345,357,369,372,384,396
    417,429,432,456,468,471,483,495
    516,528,531,543,567,579,582,594
    615,627,639,642,654,678,681,693
    714,726,738,741,753,765,789,792
    813,825,837,849,852,864,876,891
    912,924,936,948,951,963,975,987

    Notice every 4th group represents
    a full reversal of 'yin+yang'
    or
    'spin order'
    with the full 9 cycle returning to the
    same starting polarity/spin order

    and of course 2 and 8, 3 and 7 and 4 and 6
    and also polar inverse groups.

    __________________

    And finally,

    111,222,333,444,555,666,777,888,999

    represent the following whole number ratios

    1:2:3:4:5:6:7:8

    and any combination you care to play together
    these are the simplest 'purest' intervals.


    The logic fits with the 'Enneagram Tone Set'.

    They would represent the energy of the
    nine points as opposed to 'paths'.

    _______________


    Full 81 tone Ordinal Sequence

    111,123,135,147,159,162,174,186,198
    222,234,246,258,261,273,285,297,219
    333,345,357,369,372,384,396,318,321
    444,456,468,471,483,495,417,429,432
    555,567,579,582,594,516,528,531,543
    666,678,681,693,615,627,639,642,654
    777,789,792,714,726,738,741,753,765
    888,891,813,825,837,849,852,864,876
    999,912,924,936,948, 951,963,975,987



    Full 81 tone Linear Sequence

    111,123,135,147,159,162,174,186,198
    219,222,234,246,258,261,273,285,297
    318,321,333,345,357,369,372,384,396
    417,429,432,444,456,468,471,483,495
    516,528,531,543,555,567,579,582,594
    615,627,639,642,654,666,678,681,693
    714,726,738,741,753,765,777,789,792
    813,825,837,849,852,864,876,888,891
    912,924,936,948,951,963,975,987,999

  5. #5

    Default

    Here are a few other graphs dealing with 27:








  6. #6

    Default

    I want to introduce something here that will help
    clarify some other graphs that I'll be posting...

    It deals with a way to represent each of the 81 (3-digit) tones
    as a 2-digit 'coordinate value' resulting in a 'shorthand' method
    of referring to (or graphically depicting) the 3-digit values...

    Here are the 81 tones shown as 3-digit frequencies:





    Here is the same arrangement of the 81 tones,
    but this time shown as 2-digit coordinate values
    (disregard the different color-codings and focus on the numerical alignments):



  7. #7

    Default

    Subset of 27 tones
    {anchored by the 37 points of the Hemicube}



  8. #8

    Default

    More on 27 and 37

    The numbers 27 and 37 are 'reciprocals' of each other:

    1/27 = .037037037...
    1/37 = .027027027...

    and

    27 x 37 = 999
    {999 is the largest frequency in the 81 toneset}

    _______________

    The 27 (2-digit) tones shown on the Hemicube
    in the previous post add up to the value of 1485:

    1485/37 = 40.135135...

    1485/27 = 55

    The central hub around which the entire
    81 Lo Shu toneset revolves is 55:

    55/40.135135 = 1.370370...

    and

    40.135135/55 = .729729...

    also

    37/27 = 1.370370...

    and

    27/37 = .729729...

    _________


    729 is the number of hexagrams in the Tai Hsuan Ching:

    9 x 9 x 9 = 729

    __________________


    This value of 1.370370... is also quite significant:

    According to the United States Bureau of Standards,
    the physical constant (or fine structure constant)
    of the hydrogen atom is 37/27 x 100:

    As we saw above 37/27 = 1.370370...

    So 1.370370 x 100 = 137.037037...
    _______________

    {The following is exerpted from chapter 4 of Wilcock's Divine Cosmos}

    THE FINE-STRUCTURE CONSTANT

    This constant has been continuously studied by spectroscope analysis,
    and the highly revered physicist Richard P. Feynman explained the
    mystery in his book The Strange Theory of Light and Matter.

    (This value) has been a mystery ever since it was discovered more
    than fifty years ago, and all good theoretical physicists put this
    number up on their wall and worry about it.

    Immediately you would like to know
    where this number for a coupling comes from:
    is it related to pi or perhaps to the base of natural logarithms?

    Nobody knows, it is one of the greatest damn mysteries of physics:
    a magic number that comes to us with no understanding by man.
    You might say that the "hand of God" wrote that number,
    and "we don't know how He pushed His pencil."

  9. #9

    Default

    The number 37,
    as shown below (and in greater detail in post#2),
    has a pervasive, yet often 'hidden', influence in the set of 81 tones:


    Linear Arrangement of the 81 Lo Shu Tones
    shown here in their 3-digit frequency form
    {Reduced by their only common denominator, which is 3}





    Note that in the above diagram, now 37 becomes the 'primary' number
    as well as the main vertical (in this diagonal diagram) incremental number...

    ____________________



    1/81 = .012345679...

    these digits sum to, you guessed it, 37...

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