Sonata 1 Rendered in Piagui Tuning

online listen
http://chrisvaisvil.com/?p=564

download
http://micro.soonlabel.com/piagui/sonata01-pianoteq-piagui-tuning.mp3

I received this morning a request from Mario Pizarro to hear one of my compositions in his Piagui tuning. Since we are having company today I am short on time and decided to render my Sonata 1 in pianoteq using his Piagui tuning. (details of the tuning below)

The story behind the piece – this piece has the kitchen sink and more in it because this was the result of for the first time getting my hands on a midi editor that used the grand staff – so I poured some 20 years of ideas out into the composition. It is not always coherent and at times not playable by a two handed person. But nonetheless I kind of like it because of the musical ideas I included like quartal and quintal harmony, clusters, several simultaneous dynamic levels defining polyphonic voices and so on.

Chris

! C:\Cakewalk\scales\12edo.scl
!
PIAGUI
12
!
99.02
198.04
297.07
396.09
498.04
600.00000
699.02
798.05
897.07
996.09
1098.05
2/1

Chris,

I made a mistake. Below you have the corrected scale, the former one is not correct. Thank you a lot for making a composition by tuning to the scale you have below. I highly appreciate your cooperation. Sincerely . Mario

THIS IS THE CORRECTED SCALE<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<

TWELVE TONE SCALE WITH P AND K PIAGUI SEMITONE FACTORS

P =
(8/9)*2^(1/4) =
1.05707299111

K =
(9/8)^(1/2) =
1.06066017178

(P*K)^(1/2) =
1.05886506238

TET

CENTS
CENT

C ?
1
1 =
0
0

C#?
x (P*K)^(1/2) =
1.058865062 =
99.02
-1

D ?
x (P*K)^(1/2) =
1.121195220 =
198.04
-2

Eb?
x (P*K)^(1/2) =
1.187194446 =
297.07
-3

E ?
x (P*K)^(1/2) =
1.257078722 =
396.09
-4

F ?
x K =
1.333333333 =
498.04
-2

F#?
x K =
1.414213562 =
600
0

G ?
x (P*K)^(1/2) =
1.497461332 =
699.02
-1

Ab?
x (P*K)^(1/2) =
1.585609486 =
798.05
-2

A ?
x (P*K)^(1/2) =
1.678946488 =
897.07
-3

Bb?
x (P*K)^(1/2) =
1.777777777 =
996.09
-4

B ?
x K =
1.885618083 =
1098.05
-2

2C?
x K =
2 =
1200
0

DIFF.UNITS

MAJOR TRIADS

C ?
0, "4, "1
THIS IS THE CORRECTED SCALE

C#?
"1, "2, "2

D ?
"2, 0, "3

Eb?
"3, "1, "4

E ?
"4, "2, "2

F ?
"2, "3, 0

F#?
0, "4, "1

G ?
"1, "2, "2

Ab?
"2, 0, "3

A ?
"3, "1, "4

Bb?
"4, "2, "2

B ?
"2, "3, 0

2C?
0, "4, "1

----- Original Message ----- From: "christopherv" <chrisvaisvil@...>
To: <tuning@yahoogroups.com>
Sent: Saturday, March 12, 2011 12:20 PM
Subject: [tuning] Sonata 1 Rendered in Piagui Tuning

online listen
http://chrisvaisvil.com/?p=564

download
http://micro.soonlabel.com/piagui/sonata01-pianoteq-piagui-tuning.mp3

I received this morning a request from Mario Pizarro to hear one of my compositions in his Piagui tuning. Since we are having company today I am short on time and decided to render my Sonata 1 in pianoteq using his Piagui tuning. (details of the tuning below)

The story behind the piece - this piece has the kitchen sink and more in it because this was the result of for the first time getting my hands on a midi editor that used the grand staff - so I poured some 20 years of ideas out into the composition. It is not always coherent and at times not playable by a two handed person. But nonetheless I kind of like it because of the musical ideas I included like quartal and quintal harmony, clusters, several simultaneous dynamic levels defining polyphonic voices and so on.

Chris

! C:\Cakewalk\scales\12edo.scl
!
PIAGUI
12<<<<<<<<< This scale should be replaced by the one that is shown above
!
99.02
198.04
297.07
396.09
498.04
600.00000
699.02
798.05
897.07
996.09
1098.05
2/1<<<<<<<<<<<THIS IS NOT THE SCALE. I AM SORRY

------------------------------------

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Chris,

I made a mistake. Below you have the corrected scale, the former one is not
valid. Thank you a lot for making a composition by tuning to the scale you
have below. I highly appreciate your cooperation. Sincerely . Mario

THIS IS THE CORRECTED SCALE<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<

TWELVE TONE SCALE WITH P AND K PIAGUI SEMITONE FACTORS

P =
(8/9)*2^(1/4) =
1.05707299111

K =
(9/8)^(1/2) =
1.06066017178

(P*K)^(1/2) =
1.05886506238

TET

CENTS
CENT
MAJOR

DIFF.
FIFTHS
THIRDS

C ?
1
1 =
0
0
699.0225
396.09

C#?
x (P*K)^(1/2) =
1.058865062 =
99.02
-1
699.0226
399.02

D ?
x (P*K)^(1/2) =
1.121195220 =
198.04
-2
699.0226
401.95

Eb?
x (P*K)^(1/2) =
1.187194446 =
297.07
-3
699.0228
401.95

E ?
x (P*K)^(1/2) =
1.257078722 =
396.09
-4
701.9560
401.95

F ?
x K =
1.333333333 =
498.04
-2
701.9555
399.02

F#?
x K =
1.414213562 =
600
0
699.0224
396.09

G ?
x (P*K)^(1/2) =
1.497461332 =
699.02
-1
699.0225
399.02

Ab?
x (P*K)^(1/2) =
1.585609486 =
798.05
-2
699.0225
401.95

A ?
x (P*K)^(1/2) =
1.678946488 =
897.07
-3
699.0226
401.95

Bb?
x (P*K)^(1/2) =
1.777777777 =
996.09
-4
701.9545
401.95

B ?
x K =
1.885618083 =
1098.05
-2
701.9550
399.02

2C?
x K =
2 =
1200
0
699.0224
396.09

DIFF.UNITS

MAJOR TRIADS

C ?
0, "4, "1

C#?
"1, "2, "2

D ?
"2, 0, "3

Eb?
"3, "1, "4

E ?
"4, "2, "2

F ?
"2, "3, 0

F#?
0, "4, "1

G ?
"1, "2, "2

Ab?
"2, 0, "3

A ?
"3, "1, "4

Bb?
"4, "2, "2

B ?
"2, "3, 0

2C?
0, "4, "1