Yahoo Tuning Groups Ultimate Backup tuning The combined 12MP19 scale

To the tuning list,

I have interesting news for you. First you´d better believe that two scales can live together; in this case a 19 Microtonal scale plus a bran-new 12 tone intonation. I called this combination as the 12MP19 scale and PIAGUI IV to the 12 tone intonation. I´m sure you will like it, it´s a result of two insomne nights.

THE PIAGUI IV INTONATION (12 TONES)
---------------------------------------------------------------- FIFTHS --------MAJ. 3ds. --------MIN. 3ds.
C = 1 ----------------------------- 0 cents ----------- 700.9775 ----- 400.9775 -------- 300
C# = 1.060061465 ------------ 100.9775 --------- 700.9775 ----- 400.9775 -------- 300
D = 1.12373030958 --------- 201.955 ---------- 698.045 ------- 398.045 ---------- 300
Eb = 1.189207115 ------------ 300 ----------------- 700.9775 ----- 400.9775 ---------300
E = 1.26063263652 -------- 400.9775 --------- 700.9775 ----- 400.9775 -------- 300
F = 1.3363480795 ----------- 501.955 ---------- 698.045 ------- 398.045 ---------- 300
F# = 1.41421356237---------- 600 ----------------- 700.9775 ----- 400.9775 -------- 300
G = 1.49915330075 --------- 700.9775 --------- 700.9775 ----- 400.9775 -------- 300
Ab = 1.58919464426 --------- 801.955 ----------- 698.045 ------- 398.045 ---------- 300
A = 1.68179283051---------- 900 ----------------- 700.9775 ----- 400.9775 --------- 300
Bb = 1.78280377174---------- 1000.9775 -------- 700.9775 ----- 400.9775 -------- 300
B = 1.88988157808 --------- 1101.955 ---------- 698.045 ------- 398.045 --------- 300
2C = 2 ----------------------------- 1200 ---------------- 700.9775 ----- 400.9775 -------- 300
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<

MICROTONAL INTONATION (19)

0) 0

1) 44.5369 cents

2) 122.26845 ------------------- (0 + 201.955/2) = 100.9775 = C#

3) 201.955 --------- D
------------------------------------------------------------------------------------------
4) 244.5369
------------------------------------------------------------------------------------------
5) 300 ---------------- Eb

6) 344.5369
----------------------------[(300 + 501.955)/2] = 400.9775 = E
7) 422.26845

8) 501.955 -------------------- F
--------------------------------------------------------------------------------------------
9) 544.5369
--------------------------------------------------------------------------------------------
10) 600 -------------------------- F#

11) 644.5369
----------------------------[(600 + 801.955)/2] = 700.9775 = G
12) 722.26845

13) 801.955 ---------------------- Ab
-----------------------------------------------------------------------------------------------
14) 844.5369
-----------------------------------------------------------------------------------------------
15) 900 ----------------------------- A

16) 944.5369
----------------------------[(900 + 1101.955)/2] = 1000.9775 = Bb
17) 1022.26845

18) 1101.955 ------------------------ B
-------------------------------------------------------------------------------------------------
19) 1144.5369
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<

Thanks

Mario

Lima, December 3, 2010

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🔗Mike Battaglia <battaglia01@...>

Hi Mario

Mario wrote:
> MICROTONAL INTONATION (19)
>
> 0) 0
>
> 1) 44.5369 cents
>
> 2) 122.26845 ------------------- (0 + 201.955/2) = 100.9775 = C#
>
> 3) 201.955 --------- D
> ------------------------------------------------------------------------------------------
> 4) 244.5369
> ------------------------------------------------------------------------------------------
> 5) 300 ---------------- Eb
>
> 6) 344.5369
> ----------------------------[(300 + 501.955)/2] = 400.9775 = E
> 7) 422.26845
>
> 8) 501.955 -------------------- F
> --------------------------------------------------------------------------------------------
> 9) 544.5369
> --------------------------------------------------------------------------------------------
> 10) 600 -------------------------- F#
>
> 11) 644.5369
> ----------------------------[(600 + 801.955)/2] = 700.9775 = G
> 12) 722.26845
>
> 13) 801.955 ---------------------- Ab
> -----------------------------------------------------------------------------------------------
> 14) 844.5369
> -----------------------------------------------------------------------------------------------
> 15) 900 ----------------------------- A
>
> 16) 944.5369
> ----------------------------[(900 + 1101.955)/2] = 1000.9775 = Bb
> 17) 1022.26845
>
> 18) 1101.955 ------------------------ B
> -------------------------------------------------------------------------------------------------
> 19) 1144.5369
> <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<

I'm having trouble understanding this here - you have notes between
notes and such. For example, this line here:

> 16) 944.5369
> ----------------------------[(900 + 1101.955)/2] = 1000.9775 = Bb
> 17) 1022.26845

What is the 1000.9 cent note? Note 16.5 in the scale...? Are you
saying that that's a point about which 16 and 17 are somehow
symmetric?

And then here:
> 2) 122.26845 ------------------- (0 + 201.955/2) = 100.9775 = C#

So wait, what is note #2? 122.26 cents, or 100.9775 cents?

Some clarity would be helpful in understanding this chart.
-Mike

🔗Mario Pizarro <piagui@...>

Mike,
Sorry, I didnï¿½t respond your message before due to health problem.
First, I wrongly counted the number of tones so 12MP19 scale is a 20 and not 19 Microtonal intonation; however, as John said, interesting intervals make nice couplings. Now I will reply to your questions.

1) The first element 44.5369 was obtained by a cut and try method and along the process the tone cents had to comply with the Piagui IV, a new one that is given below:

C = 1 ----------------------------- 0 cents
C# = 1.060061465 ------------ 100.9775
D = 1.12373030958 --------- 201.955
Eb = 1.189207115 ------------ 300
E = 1.26063263652 -------- 400.9775
F = 1.3363480795 ----------- 501.955
F# = 1.41421356237---------- 600
G = 1.49915330075 --------- 700.9775
Ab = 1.58919464426 --------- 801.955
A = 1.68179283051---------- 900
Bb = 1.78280377174---------- 1000.9775
B = 1.88988157808 --------- 1101.955

2) D frequency was taken from Piagui IV = (P4) and C# = 100.9775 is the average of C = 0 and D = 201.955 .

----- Original Message ----- From: "Mike Battaglia" <battaglia01@...>
To: <tuning@yahoogroups.com>
Sent: Saturday, December 04, 2010 2:36 PM
Subject: Re: [tuning] The combined 12MP19 scale

Hi Mario

Mario wrote: See the corrections
> MICROTONAL INTONATION (19) . NOTE THE CORRECTIONS HERE AND AT THE > BOTTOM..
>
> 0) 0 ----------------(First of four)
>
> 1) 44.5369 cents
> xxxx It should be 100.9775
> 2) 122.26845 ------------------- (0 + 201.955/2) = 100.9775 = C#. (First + > Fourth)/2 = C#
>
> 3) 201.955 --------- D (Fourth of four)
> ------------------------------------------------------------------------------------------
> 4) 244.5369 Above this double line work : 0 - 44.5369 - 100.9775 and > 201.955. C# is the average of (0) and (3).
> ------------------------------------------------------------------------------------------
> 5) 300 ---------------- Eb (First of four)
>
> 6) 344.5369
> ----------------------------[(300 + 501.955)/2] = 400.9775 = E = Average > of first and fourth.
> 7) 422.26845xxxx typo it should be 400.9775
>
> 8) 501.955 -------------------- F (Fourth of four)
> --------------------------------------------------------------------------------------------
> 9) 544.5369
> --------------------------------------------------------------------------------------------
> 10) 600 -------------------------- F# (First of four)
>
> 11) 644.5369
> -----xxxxx 700.9775----------------[(600 + 801.955)/2] = 700.9775 = G
> 12) 722.26845 typo
>
> 13) 801.955 ---------------------- Ab (Fourth of four)
> -----------------------------------------------------------------------------------------------
> 14) 844.5369
> -----------------------------------------------------------------------------------------------
> 15) 900 ----------------------------- A (First of four)
>
> 16) 944.5369
> ----xxxxx 1000.9775--------------------[(900 + 1101.955)/2] = 1000.9775 = > Bb
> 17) 1022.26845 typo
>
> 18) 1101.955 ------------------------ B (Fourth of four)
> -------------------------------------------------------------------------------------------------
> 19) 1144.5369
> <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<

I'm having trouble understanding this here - you have notes between
notes and such. For example, this line here:

> 16) 944.5369
> ----------------------------[(900 + 1101.955)/2] = 1000.9775 = Bb
> 17) 1022.26845

What is the 1000.9 cent note? Note 16.5 in the scale...? Are you
saying that that's a point about which 16 and 17 are somehow
symmetric?

And then here:
> 2) 122.26845 ------------------- (0 + 201.955/2) = 100.9775 = C#

So wait, what is note #2? 122.26 cents, or 100.9775 cents?

Some clarity would be helpful in understanding this chart.
-Mike
<<<<<<<<<<<<<<<<<<<<<<<<<
Mike. Sorry for the delay of this explanation. Please confirm that everything is clear now.
BTW: I started with Microtonal19 and already found the key. Once I feel better will inform to both of you.
Regards
Mario
December 07, 01:30 am
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