User:Holger Stoltenberg/sandbox
Expanding tonal space
Expanding tonal space/planar extensions
Expanding tonal space/projections
Part I: Expanding tonal space
Don't forget about the function
Part I: Expanding tonal space
Navigating tonal space
This article describes how to ...
Counting from Mode 1 up to Mode 16 |
Number of new intervals found at this mode |
Accumulated number of different rational intervals |
Total number of intervals scanned |
Mode found in octave number |
---|---|---|---|---|
16 |
8 |
79 |
120 |
5 |
15 |
8 |
71 |
105 |
4 |
14 |
6 |
63 |
91 |
4 |
13 |
12 |
57 |
78 |
4 |
12 |
4 |
45 |
66 |
4 |
11 |
10 |
41 |
55 |
4 |
10 |
4 |
31 |
45 |
4 |
9 |
6 |
27 |
36 |
4 |
8 |
4 |
21 |
28 |
4 |
7 |
6 |
17 |
21 |
3 |
6 |
2 |
11 |
15 |
3 |
5 |
4 |
9 |
10 |
3 |
4 |
2 |
5 |
6 |
3 |
3 |
2 |
3 |
3 |
2 |
2 |
1 |
1 |
1 |
2 |
1 |
0 |
0 |
0 |
1 |
plane of tonal space.
See also…
Sethares, William A. Tuning Timbre Spectrum Scale. London: Springer Verlag , 1999. [p65, 3.7. Overtone Scales]