Xenharmonic Wiki

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

← Older edit
VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
m a space
ArrowHead294 (talk | contribs)
14,512 edits
mNo edit summary
 
(4 intermediate revisions by 2 users not shown)
Line 3: Line 3:
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]], [[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&nbsp;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.  


== Notation ==
== Scale characteristics ==
The main way of notating the saturnian scale is using a 3/2-repeating notation consisting of 5 naturals. The notation used in this article is the [[diamond MOS notation]].


=== Intervals ===
=== Intervals ===
{{MOS degrees|Step Ratio=2/1; 3/1; 3/2|Notation=Default}}
{{MOS intervals}}
=== Genchain ===
 
{|class="wikitable"
=== Generator chain ===
|-
{{MOS genchain}}
| -4
 
| -3
=== Modes ===
| -2
{{MOS mode degrees}}
| -1
 
|0
|1
|2
|3
|4
|-
|d2ms
|m4ms
|m1ms
|P3ms
|P0ms
|P2ms
|M4ms
|M1ms
|A3ms
|}
== Theory ==
== Theory ==
=== Temperament interpretations ===
=== Temperament interpretations ===
Line 39: Line 22:
== 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; 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: Just 32/27 (294.135¢)}}
{{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]]
Retrieved from "https://en.xen.wiki/w/2L_3s_(3/2-equivalent)"