Full thread (3 messages)
From: christopherv (2011-03-12)
Subject: 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
From: Mario Pizarro (2011-03-12)
Subject: Re: [tuning] Sonata 1 Rendered in Piagui Tuning
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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From: Mario Pizarro (2011-03-12)
Subject: Re: [tuning] Sonata 1 Rendered in Piagui Tuning
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