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]