7-odd-limit: Difference between revisions
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== See also == | |||
* [[5-limit]] ([[prime limit]]) | |||
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Revision as of 15:30, 13 September 2023
The 7-odd-limit is the set of all rational intervals which can be written as 2k(a/b) where a, b ≤ 7 and k is an integer. To the 5-odd-limit, it adds 3 pairs of octave-reduced intervals involving 7.
Below is a list of all octave-reduced intervals in the 7-odd-limit.
| Ratio | Size (¢) | Color name | Name(s) | |
|---|---|---|---|---|
| 8/7 | 231.174 | r2 | ru 2nd | septimal supermajor second |
| 7/6 | 266.871 | z3 | zo 3rd | septimal minor third |
| 7/5 | 582.512 | zg5 | zogu 5th | narrow tritone / Huygens tritone |
| 10/7 | 617.488 | ry4 | ruyo 4th | high tritone / Euler's tritone |
| 12/7 | 933.129 | r6 | ru 6th | septimal supermajor sixth |
| 7/4 | 968.826 | z7 | zo 7th | harmonic seventh |