Natural Proportion NotationTables/Sets

 

Table of ratios or ratio = RZ values  (RZ =1-15)

Pi * MQ * RA^2 =  (10/3)  or 3.333333333, RA^2 = 1.061016698

 

Table A:  Pi * MQ * (3/10) *RA^2,   (10/3) * 0.3 = 1 etc.,  RA^2 = 1.061016698

 

1  Pi * MQ * (3/10) *RA^2                (3.1416407860) * (0.3) * RA^2  

2  Pi * MQ * (6/10) *RA^2                (3.1416407860) * (0.6) * RA^2        

3  Pi * MQ * (9/10) *RA^2                (3.1416407860) * (0.9) * RA^2

4  Pi * MQ * (12/10) *RA^2              (3.1416407860) * (1.2) * RA^2

5  Pi * MQ * (15/10) *RA^2              (3.1416407860) * (1.5) * RA^2

6  Pi * MQ * (18/10) *RA^2              (3.1416407860) * (1.8) * RA^2

7  Pi * MQ * (21/10) *RA^2              (3.1416407860) * (2.1) * RA^2

8  Pi * MQ * (24/10) *RA^2              (3.1416407860) * (2.4) * RA^2

9  Pi * MQ * (27/10) *RA^2              (3.1416407860) * (2.7) * RA^2

10  Pi * MQ * (30/10) *RA^2                        (3.1416407860) * (3.0) * RA^2

11  Pi * MQ * (33/10) *RA^2                        (3.1416407860) * (3.3) * RA^2

12  Pi * MQ * (36/10) *RA^2                        (3.1416407860) * (3.6) * RA^2

13  Pi * MQ * (39/10) *RA^2                        (3.1416407860) * (3.9) * RA^2

14  Pi * MQ * (42/10) *RA^2                        (3.1416407860) * (4.2) * RA^2

15  Pi * MQ * (45/10) *RA^2                        (3.1416407860) * (4.5) * RA^2

 

Table B notes:

Pi * 0.618033988 = Pi * 2 * (sine 18), = 2/ (MQ*RA) = 1.941611039

Phi * RA * 3 = 5         Phi * RA = (5/3) or 1.666666666

 

Table B:   [sqrt(5) +1] * (1.5) * RA, same as 3.236067977 * RA,  (10/3) * 1.5 = 5 etc 

1          3.236067977 * RA * (0.3) = 1

2          3.236067977 * RA * (0.6) = 2

3          3.236067977 * RA * (0.9) = 3

4          3.236067977 * RA * (1.2) = 4

5          3.236067977 * RA * (1.5) = 5            etc

 

 

Table C:          Phi * RA = (5/3) or 1.666666666

 

1          Phi * RA * (0.6) = 1

2          Phi * RA * (1.2) = 2

3          Phi * RA * (1.8) = 3

4          Phi * RA * (2.4) = 4

5          Phi * RA * (3.0) = 5

 

Table D notes:            Pi * phi * MQ * RA =  2,   or Pi*MQ * phi * RA = 2

Pi * phi * (1.5) * MQ * RA = 3  OR  (Pi*MQ) * phi * (1.5) * RA = 3,  phi = 0.618033988,  Pi * phi = 1.941640786          MQ* RA = 1.03007243

 

Table D:

1          Pi * phi * (0.5) * MQ * RA = 1         

2          Pi * phi * (1.0) * MQ * RA = 2

3          Pi * phi * (1.5) * MQ * RA = 3

4          Pi * phi * (2.0) * MQ * RA = 4

5          Pi * phi * (2.5) * MQ * RA = 5

 

Narrative:  Tables of ratio or numerical line values are included here as further evidence in support of the theory that "Evolutionary Proportion" or "Cosmic Proportion" is a distinct matrix that can be detected or described in numerical line values and trigonometric ratios. 

 

More ratios in "Natural Proportion"

Ratios/table  ratios  NATURAL PROPORTION

 

Constructible proportions along the way that appear to be a pattern:

                                   

My label                     "pi line" value                factor value              inverse            value  .

 

pi   *    MQ                  = 3.1416407860,  MQ 1.0000153212 qm       0.9999846791                        

pi   *    MQ   * TN       = 3.1418181818, TN   1.0000564658 nt         0.9999435373                        

pi   *    HO                  = 3.1446055110, HO  1.0009590223 gh        0.9990418965

 

pi   *    MQ *TN * (55/54) = 3.2000000000, F5, 1.0185185185, f4, 0.9818181818 A

 

 

pi   *    MQ*RA*RA * (24/25) = 3.2000000000,      0.96     B    therefore,

            special case:  TN * (55/54) = RA^2 * (24/25)  = 1.01857603

 

pi   *    MQ    * TN  * (25/24)  = (36/11)       =3.2727272727           1.0416666666

 

pi   *    MQ   * RA       = 3.3260679770, RA  1.0300566479, ar        0.9708203932                                   

pi   *    MQ   * RA * RA    (10/3) = 3.3333333333,   1.0610329539,  0.9424777960

 

pi   *    MQ   * TN *1.1, = 3.4560000000, 1.1, 1.1000000000,  t11  0.9090909090                       

pi   *    MQ   *TN  *   1.1 * (25/24)  = 3.6                                        1.0416666666

 

pi   *    MQ   * TN * 1.2, = 3.7701818181, S5, 1.2000000,  f6,        0.8333333333

 

pi   *    MQ * TN * 1.2 * (55/54) = 3.84,       S5, 1.2000,      f6,        0.8333333333                       

                                                                                                                                               

                                    1          3.1416407860   0.3183050094                                                                                 

                                    2          3.1418181818   0.3182870370                                                                                  

                                    3          3.1446055110   0.3180049124                                                                                 

                                    4          3.2000000000   0.3125000000             two versions 

                                   

                                    5          3.2727272727   0.3055555555

                                   

                                    6          3.3260679770   0.3090169944                                                                                 

                                    7          3.3333333333   0.3000000000                                                                                  

                                    8          3.4560000000   0.2893518519          

 

                                    9          3.6000000000   0.2777777777

                                   

                                    10        3.7701818181   0.2652391975                                                                                  

                                    11        3.8400000000   0.2604166667                      

 

RA *  (sqrt [sqrt(5) -2] *2)    = HO/MQ (1.000943687)

RA = 1.0300566479    (sqrt [sqrt(5) -2] *2) = Z,    MQ*RA*Z = HO

 

1.000015321 * 1.030056648 * 0.9717365435 = 1.000959022

 

 

Conversion from MQ to HO:  MQ*RA*Z = HO

 

pi   *    MQ      = 3.1416407860,   MQ           1.0000153212 qm       0.9999846791                        

pi   *    HO      * TN    = 3.144783074,   TN   1.0000564658 nt         0.9999435373                        

pi   *    HO [MQ*RA*Z]  = 3.1446055110,  HO 1.0009590223, gh  0.9990418965

                                   

pi   *    HO * TN * 1.0185185185      = 3.203019797, F5      1.0185185185 f4=                  inverse:  0.9818181818                                

 

pi   *    HO   * RA                               = 3.239121812,  RA   1.0300566479 ar+       inverse:  0.9708203932

                                   

pi   *    HO   * RA * RA                     = 3.336478956            1.0610329539             inverse: 0.9424777960

                                   

pi   *    HO   * TN       1.1000             = 3.459261381,  1.1    1.1000000000 t11       inverse: 0.9090909090

                                   

pi   *    HO   * TN       1.2000             = 3.773739689, S5      1.2000000000 f6         inverse: 0.8333333333

                                   

pi   *    HO * TN * 1.2 * 1.0185185185         = 3.843682646, S5, 1.20000   f6         inverse: 0.8333333333

                                                                                                                                               

 

We have also successfully constructed the line length with numerical value = 3.142696805, which we will label as Pi*ZM, where ZM = 1.000351462.

 

NOTATION system, not NUMBER system

The natural proportion values listed here, for example (Pi*MQ), (Pi*HO), (Pi*MQ*TN), and so forth, should be considered numbers in the system of numerical notation called "Natural Proportion."   We should not call the decimal digital system or the binary system, or the hexadecimal system or any such procedures for writing numbers as a "number system" but rather as a "system of (numerical) notation" or "notation system."  This I argue because the numbers or numerical values are always the same.  The numbers are always proportions – proportion is everything – but we can use different methods for writing the numerical values.  Or:  There is only one number system, but many ways of writing (notating) numbers.

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