Another incredible feature of the progression

Hi,

I hope you could recognize that the PROGRESSION OF MUSICAL CELLS (612 cells per octave) is either a scientific set of true musical frequencies or Satan forced my brain to derive their frequency values.

A few members have the progression and at least one of you has the book that contains this information. I explained some of its features which are related with scales, how the pithagorean comma takes part of it as well as semitones 256/ 243, 135/128, 16/15, Piagui K and P; perfect links of 3/2 and 4/3 between any chosen cell and a second one, comparisons between Piagui and 12TET chord wave peak responses and other remarkable relations.

The progression was derived in 1983 and come from 612 products of M, J, U commas. When each comma is multiplied by a cell frequency, the following cell frequency is obtained. It is a cyclical process that starts with 1 = C.

Cell Nº 1 = M* 1 = M.
Cell Nº 2 = M* Cell Nº 1 = M^2
Cell Nº 3 = J* Cell Nº 2 = J*M^2
Cell Nº 4 = J* Cell Nº 3 = (J^2)*M^2 --- U comma factor works for the first time as a factor of cell Nº 23 to get Nº 24.
...................etc
The first 52 cells are the results of the following comma factor sequence:
MMJJMM MMJJMM MMJJMM JJMMUU MMJJMM MMJJ MMJJMM MMJJMM MMJJMM. Last cell of this group (M^32) (J^18) (U^2), equals semitone factor
K = (9/8)^(1/2).

Due to printing errors it should be noticed that SETS Rº given in the book must follow the same comma sequence detailed in SETS R.

The above comma factor sequence is repeated (624/52) = 12 times. Cell frequency Nº 624 equals 2.02728652954...while Nº 612 is the octave 2.
Frequency ratio (Nº 624/Nº 612) = 1.01364326477 = Pythagorean comma = Cell Nº 12.
------------------------------------

I want to comment that this afternoon I detected an important progression feature. In the past I said and wrote that the progression do not contain any frequency of the 12TET scale. I WAS WRONG, really the 12 tone frequencies of the equal tempered scale are functions of cells Nºs 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612 and quotient J/M.

The mentioned cell numbers and the 12TET tones have the following data (From C# to 2C):

Cell: " 1.05946387772 " ---- 12TET: " 1.05946309436 " --- Error = Q1 = 1.0000007394

Cell: " 1.12246370821 " --- 12TET: " 1.12246204831 " --- Error = Q2 = 1.00000147881

Cell: " 1.189207115 " --- 12TET: " 1.189207115 " --- Error = 0

Cell: " 1.25991918672 " --- 12TET: " 1.25992104989 " --- Error = Q2 = 1.00000147881

Cell: " 1.33483886718 " --- 12TET: " 1.33483985415 " --- Error = Q1 = 1.0000007394

Cell: " 1.41421356237 " --- 12TET: " 1.41421356237 " --- Error = 0

Cell: " 1.49830818472 " --- 12TET: " 1.49830707687 " --- Error = Q1 = 1.0000007394

Cell: " 1.58740339942 " --- 12TET: " 1.58740105196 " --- Error = Q2 = 1.00000147881

Cell: " 1.68179283051 " --- 12TET: " 1.68179283051 " --- Error = 0

Cell: " 1.78179480135 " --- 12TET: " 1.78179743628 " --- Error = Q2 = 1.00000147881

Cell: " 1.88774722955 " --- 12TET: " 1.88774862535 " --- Error = Q1 = 1.0000007394

Cell: "2" -------------------------- 12TET "2" ------------------------- Error = 0
---------------------------------------------------------------------------------------------------

(Q1*Q2) = (J/M) = 1.00000221821 ------ A new relation

CONCLUSION

Since J and M are progression comma factors, both, the two types of errors, the cell frequencies together with the exact value of the 12TET tone frequencies are linked.

It would be a fair idea that a group of members study the progression features to qualify its validity degree in the art of music. The progression of musical cells was derived in 1983.

Thanks

Mario Pizarro

piagui@...

Lima, January 08, 2010

__________ Información de ESET NOD32 Antivirus, versión de la base de firmas de virus 4755 (20100108) __________

ESET NOD32 Antivirus ha comprobado este mensaje.

http://www.eset.com

3/2 is about as good as 12-tet, 5/4 is about as far off as 12-tet, 7/4
is nonexistent as in 12-tet, etc. It's about as satisfactory as 12-tet
is.

-Mike

On Fri, Jan 8, 2010 at 9:04 PM, Mario Pizarro <piagui@...> wrote:
>
>
>
> Hi,
>
> I hope you could recognize that the PROGRESSION OF MUSICAL CELLS (612 cells per octave) is either a scientific set of true musical frequencies or Satan forced my brain to derive their frequency values.
>
> A few members have the progression and at least one of you has the book that contains this information. I explained some of its features which are related with scales, how the pithagorean comma takes part of it as well as semitones 256/ 243, 135/128, 16/15, Piagui K and P; perfect links of 3/2 and 4/3 between any chosen cell and a second one, comparisons between Piagui and 12TET chord wave peak responses and other remarkable relations.
>
> The progression was derived in 1983 and come from 612 products of M, J, U commas. When each comma is multiplied by a cell frequency, the following cell frequency is obtained. It is a cyclical process that starts with 1 = C.
>
> Cell Nº 1 = M* 1 = M.
> Cell Nº 2 = M* Cell Nº 1 = M^2
> Cell Nº 3 = J* Cell Nº 2 = J*M^2
> Cell Nº 4 = J* Cell Nº 3 = (J^2)*M^2 --- U comma factor works for the first time as a factor of cell Nº 23 to get Nº 24.
> ...................etc
> The first 52 cells are the results of the following comma factor sequence:
> MMJJMM MMJJMM MMJJMM   JJMMUU MMJJMM MMJJ   MMJJMM  MMJJMM MMJJMM. Last cell of this group (M^32) (J^18) (U^2), equals semitone factor
> K = (9/8)^(1/2).
>
> Due to printing errors it should be noticed that SETS Rº given in the book must follow the same comma sequence detailed in SETS R.
>
> The above comma factor sequence is repeated (624/52) = 12 times. Cell frequency Nº 624 equals 2.02728652954...while Nº 612 is the octave 2.
> Frequency ratio (Nº 624/Nº 612) = 1.01364326477 = Pythagorean comma = Cell Nº 12.
> ------------------------------------
>
> I want to comment that this afternoon I detected an important progression feature. In the past I said and wrote that the progression do not contain any frequency of the 12TET scale. I WAS WRONG, really the 12 tone frequencies of the equal tempered scale are functions of cells Nºs 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612 and quotient J/M.
>
> The mentioned cell numbers and the 12TET tones have the following data (From C# to 2C):
>
> Cell: " 1.05946387772 " ---- 12TET: " 1.05946309436 " --- Error = Q1 = 1.0000007394
>
> Cell: " 1.12246370821 " ---  12TET: " 1.12246204831 " --- Error = Q2 = 1.00000147881
>
> Cell: " 1.189207115 " ---  12TET: " 1.189207115 " --- Error = 0
>
> Cell: " 1.25991918672 " ---  12TET: " 1.25992104989 " --- Error = Q2 = 1.00000147881
>
> Cell: " 1.33483886718 " ---  12TET: " 1.33483985415 " --- Error = Q1 = 1.0000007394
>
> Cell: " 1.41421356237 " ---  12TET: " 1.41421356237 " --- Error = 0
>
> Cell: " 1.49830818472 " ---  12TET: " 1.49830707687 " --- Error = Q1 = 1.0000007394
>
> Cell: " 1.58740339942 " ---  12TET: " 1.58740105196 " --- Error = Q2 = 1.00000147881
>
> Cell: " 1.68179283051 " ---  12TET: " 1.68179283051 " --- Error = 0
>
> Cell: " 1.78179480135 " ---  12TET: " 1.78179743628 " --- Error = Q2 = 1.00000147881
>
> Cell: " 1.88774722955 " ---  12TET: " 1.88774862535 " --- Error = Q1 = 1.0000007394
>
> Cell: "2" --------------------------  12TET  "2" ------------------------- Error = 0
> ---------------------------------------------------------------------------------------------------
>
> (Q1*Q2) = (J/M) = 1.00000221821 ------ A new relation
>
> CONCLUSION
>
> Since J and M are progression comma factors, both, the two types of errors, the cell frequencies together with the exact value of the 12TET tone frequencies are linked.
>
> It would be a fair idea that a group of members study the progression features to qualify its validity degree in the art of music. The progression of musical cells was derived in 1983.
>
> Thanks
>
> Mario Pizarro
>
> piagui@...
>
> Lima, January 08, 2010
>
> __________ Información de ESET NOD32 Antivirus, versión de la base de firmas de virus 4755 (20100108) __________
>
> ESET NOD32 Antivirus ha comprobado este mensaje.
>
> http://www.eset.com
>