5L 2s (3/1-equivalent): Difference between revisions
ArrowHead294 (talk | contribs) No edit summary |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 3: | Line 3: | ||
== Name == | == Name == | ||
The name '''triatonic''' was coined by [[User:CompactStar|CompactStar]], and is a back-formation from "diatonic" with di- being interpreted as 2 (the [[2/1|octave]]) and replaced with tri- for 3 (the [[3/1|tritave]]). It is not an official name in [[TAMNAMS]]. | The name '''triatonic''' was coined by [[User:CompactStar|CompactStar]], and is a back-formation from "diatonic" with di- being interpreted as 2 (the [[2/1|octave]]) and replaced with tri- for 3 (the [[3/1|tritave]]). It is not an official name in [[TAMNAMS]]. | ||
== Scale properties == | |||
{{TAMNAMS use}} | |||
{{MOS data}} | |||
The modes of 5L 2s{{angbr|3/1}} have step patterns which are the same as the modes of the diatonic scale. | |||
== Theory == | == Theory == | ||
| Line 12: | Line 17: | ||
Very soft scales (in the range between [[26edt]] and [[45edt]], serving as a macro-[[flattone]]) can be interpreted in the 3.5.7.17 subgroup as [[no-twos subgroup temperaments#Mizar|Mizar]], in which the generator of a flattened ~17/9 stacks twice and tritave-reduces to [[25/21]], which generates [[Sirius]] temperament. Scales close to basic have an interpretation in the 3.13.17 subgroup, documented as [[no-twos subgroup temperaments#Sadalmelik|Sadalmelik]] in which the generator (the stretched counterpart of the fifth) is also ~17/9 and a stack of 4 generators tritave-reduced (equivalent to the major third) is ~[[13/9]]; see also the page for [[12edt]]. Harder scales can be interpreted in [[Mintaka]] temperament in the 3.7.11 subgroup, which tempers out [[1331/1323]] so that the dark generator (the stretched counterpart of the fourth) is ~[[11/7]], a stack of 2 generators (equivalent to the minor seventh) is ~[[27/11]], and a stack of three generators (equivalent to the minor third) is ~[[9/7]]. | Very soft scales (in the range between [[26edt]] and [[45edt]], serving as a macro-[[flattone]]) can be interpreted in the 3.5.7.17 subgroup as [[no-twos subgroup temperaments#Mizar|Mizar]], in which the generator of a flattened ~17/9 stacks twice and tritave-reduces to [[25/21]], which generates [[Sirius]] temperament. Scales close to basic have an interpretation in the 3.13.17 subgroup, documented as [[no-twos subgroup temperaments#Sadalmelik|Sadalmelik]] in which the generator (the stretched counterpart of the fifth) is also ~17/9 and a stack of 4 generators tritave-reduced (equivalent to the major third) is ~[[13/9]]; see also the page for [[12edt]]. Harder scales can be interpreted in [[Mintaka]] temperament in the 3.7.11 subgroup, which tempers out [[1331/1323]] so that the dark generator (the stretched counterpart of the fourth) is ~[[11/7]], a stack of 2 generators (equivalent to the minor seventh) is ~[[27/11]], and a stack of three generators (equivalent to the minor third) is ~[[9/7]]. | ||
== Notation == | == Notation == | ||