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This info replaces the former data

🔗Mario Pizarro <piagui@...>

3/8/2011 11:27:30 AM

Mike,

Note C# dissapeared in my preceding message, I don´t know what happened. The underlined data given below is correct. Sorry.

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
MINOR

DIFF.
FIFTHS
THIRDS
THIRDS

C ?
1
1 =
0
0
699.0225
396.09
302.93

C#?
x (P*K)^(1/2) =
1.058865062 =
99.02
-1
699.0226
399.02
300.00

D ?
x (P*K)^(1/2) =
1.121195220 =
198.04
-2
699.0226
401.95
297.07

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

E ?
x (P*K)^(1/2) =
1.257078722 =
396.09
-4
701.9560
401.95
300.01

F ?
x K =
1.333333333 =
498.04
-2
701.9555
399.02
302.94

F#?
x K =
1.414213562 =
600
0
699.0224
396.09
302.93

G ?
x (P*K)^(1/2) =
1.497461332 =
699.02
-1
699.0225
399.02
300.00

Ab?
x (P*K)^(1/2) =
1.585609486 =
798.05
-2
699.0225
401.95
297.07

A ?
x (P*K)^(1/2) =
1.678946488 =
897.07
-3
699.0226
401.95
297.07

Bb?
x (P*K)^(1/2) =
1.777777777 =
996.09
-4
701.9545
401.95
300.00

B ?
x K =
1.885618083 =
1098.05
-2
701.9550
399.02
302.94

2C?
x K =
2 =
1200
0
699.0224
396.09
302.93

CENTS

2.117730124 =
1299.02

2.242390440 =
1398.05

2.374388893 =
1497.07

2.514157444 =
1596.09

2.666666666 =
1698.04

2.828427124 =
1800.00

2.994922663 =
1899.02

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

Thanks

Mario