2L 3s (3/2-equivalent): Difference between revisions

CompactStar (talk | contribs)
Rework as well as the change of pythium -> meanquad
CompactStar (talk | contribs)
No edit summary
Line 2: Line 2:
{{MOS intro|Other Names=saturnian}}  
{{MOS intro|Other Names=saturnian}}  


The name saturnian was coined by [[User:CompactStar|CompactStar]], referring to the sister MOS of [[3L 2s (3/2-equivalent)|uranian]].
The name ''saturnian'' was coined by [[User:CompactStar|CompactStar]], referring to this MOS being the sister MOS of [[3L 2s (3/2-equivalent)|uranian]].


This scale contains 2 diminished triads represented by stacks of the minor third generator.[[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time.  2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales|microdiatonic scale]], [[5L 2s (3/2-equivalent)|5L 2s⟨3/2⟩]], and the sister of [[3L 2s (3/2-equivalent)|3L 2s⟨3/2⟩]] (uranian) which is generated by a subminor third rather than a minor third.  
This scale contains 2 diminished triads represented by stacks of the minor third generator. [[Basic]] saturnian is in [[7edf]], a very close approximation of [[12edo]], which allows for playing diatonic music and saturnian music at the same time.  2L 3s⟨3/2⟩ is the parent of the 3/2-repeating [[macrodiatonic and microdiatonic scales|microdiatonic scale]], [[5L 2s (3/2-equivalent)|5L 2s⟨3/2⟩]], and the sister of [[3L 2s (3/2-equivalent)|3L 2s⟨3/2⟩]] (uranian) which is generated by a subminor third rather than a minor third.  


== Notation ==
== Notation ==
Line 36: Line 36:
== Theory ==
== Theory ==
=== Temperament interpretations==
=== Temperament interpretations==
From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] temperament, where the minor third generator is represented by ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the minor third generator is represented by [[32/27]]~[[6/5]] (in the CTE tuning, it is exactly 32/27). Both temperaments have very similar generators.
From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] [[temperament]], where the generator is represented by the minor third ~[[25/21]] and 2 of them make ~[[7/5]]. It may also be interpreted as [[meanquad]] temperament using a period of [[3/2]] rather than [[4/1]], where the generator is represented by [[32/27]]~[[6/5]] (in the [[CTE tuning]], it is exactly 32/27). Both temperaments have very similar generators.




== Modes ==
== Modes ==
The mode names are based on the 6 largest satellites of Saturn, excluding Titan since the "Titanian" name has been used for the [[3L 2s (3/2-equivalent)|uranian scale]].
The mode names were coined by [[User:CompactStar|CompactStar]], based on the 6 largest satellites of Saturn, excluding Titan since the "Titanian" name has been used for the [[3L 2s (3/2-equivalent)|uranian scale]].
{{MOS modes|Mode Names=Rhean; Iapetian; Dionian; Tethyian; Enceladean}}
{{MOS modes|Mode Names=Rhean; Iapetian; Dionian; Tethyian; Enceladean}}


== Scale tree ==
== Scale tree ==
{{Scale tree|Comments=11/7: [[CTE tuning]] for Sirius B temperament (293.825¢); 8/5: Pythagorean minor third (294.135¢); }}
{{Scale tree|Comments=11/7: [[CTE tuning]] for Sirius B temperament (293.825¢); 8/5: Just 32/27 (294.135¢)}}


[[Category:Nonoctave]]
[[Category:Nonoctave]]
[[Category:5-tone scales]]
[[Category:5-tone scales]]