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

See also