2L 3s (3/2-equivalent): Difference between revisions
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{{Infobox MOS}} | {{Infobox MOS}} | ||
{{MOS intro|Other Names=saturnian}} | {{MOS intro|Other Names=saturnian}} | ||
The name ''saturnian'' was coined by [[User:CompactStar|CompactStar]], referring to this MOS being 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]] | 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]] ({{mos scalesig|5L 2s<3/1>|link=1}}), and the sister of {{mos scalesig|3L 2s<3/1>|link=1}} (uranian) which is generated by a subminor third rather than a minor third. | ||
== | == Scale characteristics == | ||
=== Intervals === | === Intervals === | ||
{{MOS | {{MOS intervals}} | ||
=== | |||
{ | === Generator chain === | ||
{{MOS genchain}} | |||
=== Modes === | |||
{{MOS mode degrees}} | |||
== Theory == | == Theory == | ||
=== Temperament | === Temperament interpretations === | ||
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. | From a [[half-prime subgroup]] point of view, 2L 3s⟨3/2⟩ can be interpreted as the [[Sirius B]] [[temperament]] in the 3/2.5/2.7/2 [[subgroup]], 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 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]]. | 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 | {{MOS modes|Mode Names=Rhean$ Iapetian$ Dionian$ Tethyian$ Enceladean$}} | ||
== Scale tree == | == Scale tree == | ||
{{ | {{MOS tuning spectrum | ||
| 11/7 = [[CTE tuning]] for Sirius B temperament (293.825{{c}}) | |||
| 8/5 = Just 32/27 (294.135{{c}}) | |||
}} | |||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
[[Category:5-tone scales]] | [[Category:5-tone scales]] | ||