Comma-prefix names: Difference between revisions

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'''Comma-prefix names'''' are a systematic naming system for [[just interval]]s developed by [[User:CompactStar|CompactStar]]. Unmodified interval names correspond to [[Pythagorean tuning|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.
 
'''Comma-prefix names'''' are a systematic naming system for [[just interval]]s developed by [[User:CompactStar|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 tuning|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 ==
== List of prefixes ==
Line 27: Line 25:
|-
|-
|13
|13
|[[27/26]]
|[[1053/1024]]
|hyper
|hyper
|hypo
|hypo
|}
|}


[[Category:Notation]]
== 15-odd-limit interval names ==
{|class="wikitable"
|-
!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 ==
* [[Systematic comma names explained]]
* [[Temperament naming]]
 
[[Category:Notation]][[Category:Interval naming]]
{{todo|link}}

Latest revision as of 00:22, 2 December 2024

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

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