Comma-prefix names
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Comma-prefix names' are a systematic naming system for just intervals developed by CompactStar. Unmodified interval names correspond to Pythagorean intervals while prefixes can be added to indicate raising/lowering by a comma. The prefixes for lower primes are added first, for example 36/35 is an "oversuperunison" rather than a "superoverunison". In 2.3.p subgroups, most names in this system correspond to existing terms, such as 7/4 being a "subminor seventh", and 11/8 being an "ultrafourth", although when more than one non-Pythagorean prime is introduced, the names can sometimes become counter-intuitive.
List of prefixes
| Prime limit | Comma | Positive prefix | Negative prefix |
|---|---|---|---|
| 5 | 81/80 | over | under |
| 7 | 64/63 | super | sub |
| 11 | 33/32 | ultra | infra |
| 13 | 1053/1024 | hyper | hypo |
15-odd-limit interval names
| Interval | Name |
|---|---|
| 1/1 | perfect unison |
| 16/15 | overminor second |
| 15/14 | undersuperaugmented unison |
| 14/13 | subhypomajor second |
| 13/12 | hyperminor second |
| 12/11 | inframajor second |
| 11/10 | overultraminor second |
| 10/9 | undermajor second |
| 9/8 | major second |
| 8/7 | supermajor second |
| 15/13 | underhypoaugmented second |
| 7/6 | subminor second |
| 13/11 | infrahyperminor third |
| 6/5 | overminor third |
| 11/9 | ultraminor third |
| 16/13 | hypomajor third |
| 5/4 | major third |
| 14/11 | subinfrafourth |
| 9/7 | supermajor third |
| 13/10 | overhyperdiminished fourth |
| 4/3 | perfect fourth |
| 15/11 | underinfraaugmented fourth |
| 11/8 | ultrafourth |
| 18/13 | hypoaugmented fourth |
| 7/5 | oversubdiminished fifth |
| 10/7 | undersuperaugmented fourth |
| 13/9 | hyperdiminished fifth |
| 16/11 | infrafifth |
| 22/15 | overultradiminished fifth |
| 3/2 | perfect fifth |
| 20/13 | underhypoaugmented fifth |
| 14/9 | subminor sixth |
| 11/7 | superultrafifth |
| 8/5 | overminor sixth |
| 13/8 | hyperminor sixth |
| 18/11 | inframajor sixth |
| 5/3 | undermajor sixth |
| 22/13 | infrahypermajor sixth |
| 12/7 | supermajor sixth |
| 26/15 | underultradiminished seventh |
| 7/4 | subminor seventh |
| 16/9 | minor seventh |
| 9/5 | overminor seventh |
| 20/11 | undersubmajor seventh |
| 11/6 | ultraminor seventh |
| 24/13 | hypomajor seventh |
| 13/7 | superultraminor seventh |
| 28/15 | oversubdiminished octave |
| 15/8 | undermajor seventh |
| 2/1 | perfect octave |