Comma-prefix names

Comma-prefix names' are a systematic naming system for just intervals developed by CompactStar. Many names in this system match existing terms such as 7/4 being a "subminor seventh" and 11/8 being an "ultrafourth". 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".

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