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The Combined Piagui I --- Microtonal 24

🔗Mario Pizarro <piagui@...>

12/7/2010 11:06:38 AM

To the tuning list:

PIAGUI I intonation = 0, 101.955, 203.91, 300, 401.955, 503.91, 600,

701.955, 803.91, 900, 1001.955, 1103.91, 1200.

COMBINED PIAGUI I -- MICROTONAL 24.
(0) 0 Cents ------ C
(1) 50.9775
(2) 101.955 ------ C#
(3) 152.9325
(4) 203.91 -------- D
(5) 251.955

(6) 300 ------------- Eb
(7) 350.9775
(8) 401.955 ------- E
(9) 452.9325
(10) 503.91 --------- F
(11) 551.955

(12) 600 -------------- F#
(13) 650.9775
(14) 701.955 -------- G
(15) 752.9325
(16) 803.91 ---------- Ab
(17) 851.955

(18) 900 --------------- A
(19) 950.9775
(20) 1001.955 ------- Bb
(21) 1052.9325
(22) 1103.91 --------- B
(23) 1151.955

(24) 1200 -------------- 2C

> COMBINED MICROTONAL INTONATION (12MP20) . NOTE THE CORRECTIONS HERE AND AT THE
> BOTTOM..
> (44.5369 was obtained by cut and try).
> The average (m + n)/2 was used in all cases.
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
> 0) 0 ------------------------------(m)
> 1) 44.5369 cents (Common adder)
> 2) 100.9775---- (0 + 201.955/2) = 100.9775 = C# = (m + n)/2
> 3) 201.955 --------- D ----------- (n)
> -------------------------------------------------------- + Adder
> 4) 244.5369 Above this double line work m and n.
> --------------------------------------------------------
> 5) 300 -------------- Eb -----------(m)
> 6) 344.5369
> 7) 400.9775 -------- E = Average (m + n)/2
> 8) 501.955 --------- F -------------(n)
> ---------------------------------------------------------
> 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

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