Density Tables:
|
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
C
|
C#
|
D
|
Eb
|
E
|
F
|
F#
|
G
|
G#
|
A
|
Bb
|
B
|
|
Cardinal:
|
(0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0)
|
|
Tonal major:
|
(0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0)
|
|
Tonal minor:
|
(0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0)
|
|
Tonal inverse minor:
|
(0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T0
|
T1
|
T2
|
T3
|
T4
|
T5
|
T6
|
T7
|
T8
|
T9
|
T10
|
T11
|
|
Transpositional:
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
T0I
|
T1I
|
T2I
|
T3I
|
T4I
|
T5I
|
T6I
|
T7I
|
T8I
|
T9I
|
T10I
|
T11I
|
|
Inversional:
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
Normal form:
|
{}
|
|
InvNormal form:
|
{}
|
|
Tn type:
|
()
|
|
Inv Tn type:
|
()
|
|
Tn/TnI type:
|
[]
|
|
Interval Vector:
|
|
±1 |
±2 |
±3 |
±4 |
±5 |
±6 |
|
0 |
0 |
0 |
0 |
0 |
0 |
|
|
index n:
|
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
|
|
Tn invariance:
|
|
|
TnI invariance:
|
|
With limited interval content
With limited transpositions
With limited inversions
|
|
Transpositional Properties:
|
|
common tones
|
density
|
collection
|
notes
|
|
T0
|
0
|
0
|
{ }
|
{ }
|
|
T1
|
0
|
0
|
{ }
|
{ }
|
|
T2
|
0
|
0
|
{ }
|
{ }
|
|
T3
|
0
|
0
|
{ }
|
{ }
|
|
T4
|
0
|
0
|
{ }
|
{ }
|
|
T5
|
0
|
0
|
{ }
|
{ }
|
|
T6
|
0
|
0
|
{ }
|
{ }
|
|
T7
|
0
|
0
|
{ }
|
{ }
|
|
T8
|
0
|
0
|
{ }
|
{ }
|
|
T9
|
0
|
0
|
{ }
|
{ }
|
|
T10
|
0
|
0
|
{ }
|
{ }
|
|
T11
|
0
|
0
|
{ }
|
{ }
|
Inversional Properties:
|
|
common tones
|
density
|
collection
|
notes
|
|
T0I
|
0
|
0
|
{ }
|
{ }
|
|
T1I
|
0
|
0
|
{ }
|
{ }
|
|
T2I
|
0
|
0
|
{ }
|
{ }
|
|
T3I
|
0
|
0
|
{ }
|
{ }
|
|
T4I
|
0
|
0
|
{ }
|
{ }
|
|
T5I
|
0
|
0
|
{ }
|
{ }
|
|
T6I
|
0
|
0
|
{ }
|
{ }
|
|
T7I
|
0
|
0
|
{ }
|
{ }
|
|
T8I
|
0
|
0
|
{ }
|
{ }
|
|
T9I
|
0
|
0
|
{ }
|
{ }
|
|
T10I
|
0
|
0
|
{ }
|
{ }
|
|
T11I
|
0
|
0
|
{ }
|
{ }
|
Notations:
|
T0
|
|
|
|
T1
|
|
|
|
T2
|
|
|
|
T3
|
|
|
|
T4
|
|
|
|
T5
|
|
|
|
T6
|
|
|
|
T7
|
|
|
|
T8
|
|
|
|
T9
|
|
|
|
T10
|
|
|
|
T11
|
|
|
|
|
T0I
|
|
|
|
T1I
|
|
|
|
T2I
|
|
|
|
T3I
|
|
|
|
T4I
|
|
|
|
T5I
|
|
|
|
T6I
|
|
|
|
T7I
|
|
|
|
T8I
|
|
|
|
T9I
|
|
|
|
T10I
|
|
|
|
T11I
|
|
|
|
Copyright © 2010 – Marcus Bittencourt
