2L 3s: Difference between revisions
No edit summary |
No edit summary |
||
| (24 intermediate revisions by 7 users not shown) | |||
| Line 1: | Line 1: | ||
{{Interwiki | |||
|en=2L 3s | |||
|es= | |||
|de= | |||
|ja=2L 3s | |||
}} | |||
{{Infobox MOS | {{Infobox MOS | ||
| Name = pentic | | Name = pentic | ||
| Line 9: | Line 15: | ||
}} | }} | ||
: ''For the 3/2-equivalent 2L 3s pattern, see [[2L 3s (3/2-equivalent)]].'' | : ''For the 3/2-equivalent 2L 3s pattern, see [[2L 3s (3/2-equivalent)]].'' | ||
{{MOS intro}} This scale is the "classic" pentatonic scale, which is perhaps the most common scale in the world. | {{MOS intro}} This scale is the "classic" pentatonic scale, which is perhaps the most common scale in the world. | ||
| Line 18: | Line 24: | ||
The [[TAMNAMS]] system suggests the name '''pentic''', derived from an [[Wiktionary: pent #Etymology 2|informal clipping of "pentatonic"]] that is sometimes used to refer to this scale. | The [[TAMNAMS]] system suggests the name '''pentic''', derived from an [[Wiktionary: pent #Etymology 2|informal clipping of "pentatonic"]] that is sometimes used to refer to this scale. | ||
== Modes == | == Scale properties == | ||
{{TAMNAMS use}} | |||
=== Intervals === | |||
{{MOS intervals}} | |||
=== Generator chain === | |||
{{MOS genchain}} | |||
=== Modes === | |||
{{MOS mode degrees}} | {{MOS mode degrees}} | ||
=== | === Mode names === | ||
There are three sets of mode names: descriptive, modal (5 of the 7 heptatonic modes), and traditional Chinese. | |||
{{MOS modes| | {{MOS modes | ||
| Table Headers= | |||
Descriptive $ | |||
Modal $ | |||
Chinese $ | |||
| Table Entries= | |||
Fifthless $ | |||
Phrygian $ | |||
Jué (角) $ | |||
Minor $ | |||
Aeolian $ | |||
Yǔ (羽) $ | |||
Thirdless Minor* $ | |||
Dorian $ | |||
Shāng (商) $ | |||
Thirdless Major* $ | |||
Mixolydian $ | |||
Zhǐ (徵) $ | |||
Major $ | |||
Ionian $ | |||
Gōng (宫) $ | |||
}} | |||
<nowiki />* Thirdless Minor/Major is also known as Suspended Minor/Major | |||
== Scales == | == Scales == | ||
* [[Archy5]] | === Scale list === | ||
* [[Edson5]] | * [[Archy5]] – 49edo tuning | ||
* [[Pythagorean5]] | * [[Edson5]] – 29edo tuning | ||
* [[Meantone5]] | * [[Pythagorean5]] – Pythagorean tuning | ||
* [[Meantone5]] – 31edo tuning | |||
== Scale tree == | === Scale tree === | ||
{{ | {{MOS tuning spectrum | ||
| Depth = 6 | |||
| 6/5 = Slendro (insofar as it resembles a MOS) would<br />be in this region | |||
| 9/7 = No-5s [[superpyth]]/dominant is around here | |||
| 13/9 = Pythagorean pentatonic is around here | |||
| 3/2 = Familiar [[12edo|12-equal]] pentatonic | |||
| 8/5 = Optimal meantone pentatonic is around here | |||
| 5/2 = Five-note subset of [[pelog]] (insofar as it<br />resembles a MOS) would be in this region | |||
}} | |||
From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic. | From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic. | ||
From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[ | From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[mavila]]. | ||
There is also the | There is also the 2.3.7 temperament that tempers out [[64/63]] ([[archy]], "no-fives [[Meantone family#Dominant|dominant]]"). | ||
[[Category:Pentic]] | [[Category:Pentic]] | ||
[[Category:5-tone scales]] | [[Category:5-tone scales]] | ||