7-odd-limit
From Xenharmonic Reference
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The 7-odd-limit consists of all intervals where the largest allowable odd factor in the numerator and denominator is 7. Reduced to an octave, these are:
| Interval | Cents | Name |
|---|---|---|
| 1/1 | 0.0 | Unison |
| 8/7 | 231.2 | Septimal major 2nd |
| 7/6 | 266.9 | Septimal minor 3rd |
| 6/5 | 315.6 | Classical minor 3rd |
| 5/4 | 386.4 | Classical major 3rd |
| 4/3 | 498.0 | Perfect 4th |
| 7/5 | 582.5 | Lesser septimal tritone |
| 10/7 | 617.5 | Greater septimal tritone |
| 3/2 | 702.0 | Perfect 5th |
| 8/5 | 813.6 | Classical minor 6th |
| 5/3 | 884.4 | Classical major 6th |
| 12/7 | 933.1 | Septimal major 6th |
| 7/4 | 968.8 | Septimal minor 7th |
| 2/1 | 1200.0 | Octave |
Consistent EDOs
The first EDO to be consistent to the 7-odd-limit is 4edo, and the first EDO to be distinctly consistent to the 7-odd-limit is 27edo.
