User:Holger Stoltenberg/sandbox: Difference between revisions
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Rob Ickes performing with his band, Blue Highway, on June 21, 2010. 
Heather Leigh-0981 
Dobro guitar - Bluegrass Band, Kentucky (2011-10-16 by Navin75)
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experiments with tables |
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! <span style="font-weight:normal"> Mode<br />found in<br />octave<br />number </span> | ! <span style="font-weight:normal"> Mode<br />found in<br />octave<br />number </span> | ||
|- | |- | ||
| style="background-color:#e2e2e2;" | '''16''' | | style="background-color:#e2e2e2; color:green;" | '''16''' | ||
| 8 | | 8 | ||
| 79 | | 79 | ||
| Line 200: | Line 200: | ||
|- | |- | ||
| style="background-color:#e2e2e2;" | '''5''' | | style="background-color:#e2e2e2;" | '''5''' | ||
| 4 ''(...)'' | | 4 <small>''(...)''</small> | ||
| 9 | | 9 | ||
| 10 | | 10 | ||
| Line 206: | Line 206: | ||
|- | |- | ||
| style="background-color:#e2e2e2;" | '''4''' | | style="background-color:#e2e2e2;" | '''4''' | ||
| 2 ''(3rd, b7th)'' | | 2 <small>''(3rd, b7th)''</small> | ||
| 5 | | 5 | ||
| 6 | | 6 | ||
| Line 212: | Line 212: | ||
|- | |- | ||
| style="background-color:#e2e2e2;" | '''3''' | | style="background-color:#e2e2e2;" | '''3''' | ||
| 2 ''(4th, 6th)'' | | 2 <small>''(4th, 6th)''</small> | ||
| 3 | | 3 | ||
| 3 | | 3 | ||
| Line 218: | Line 218: | ||
|- | |- | ||
| style="background-color:#e2e2e2;" | '''2''' | | style="background-color:#e2e2e2;" | '''2''' | ||
| 1 ''(5th)'' | | 1 <small>''(5th)''</small> | ||
| 1 | | 1 | ||
| 1 | | 1 | ||
Revision as of 20:49, 22 February 2025
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 (3rd, b7th) | 5 | 6 | 3 |
| 3 | 2 (4th, 6th) | 3 | 3 | 2 |
| 2 | 1 (5th) | 1 | 1 | 2 |
| 1 | 0 | 0 | 0 | 1 |
| Mode 1 up to Mode 16 Mode |
Number of new intervals found at this mode |
Aggregated 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 (3rd, b7th) | 5 | 6 | 3 |
| 3 | 2 (4th, 6th) | 3 | 3 | 2 |
| 2 | 1 (5th) | 1 | 1 | 2 |
| 1 | 0 | 0 | 0 | 1 |
plane of tonal space.
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See also…
Sethares, William A. Tuning Timbre Spectrum Scale. London: Springer Verlag , 1999. [p65, 3.7. Overtone Scales]