Electra: Difference between revisions

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#redirect [[No-twos subgroup temperaments #Electra]]


'''Electra''' is a [[tritave]]-repeating rank-2 temperament in the 3.5.11.13 subgroup, with a generator near [[15/11]] or it's tritave complement 11/5. The name was given by [[User:CompactStar|CompactStar]] in analogy to the [[Sirius]], [[Arcturus]], and [[Canopus]] star names used for other tritave-repeating temperaments. It tempers out the commas 14641/14625 (the amount by which 3 11/5's exceed 117/11) and 1875/1859. It possesses MOS scales of the families [[4L 3s (tritave-equivalent)|4L 3s<3/1>]], [[7L 4s (tritave-equivalent)|7L 4s<3/1>]], and 7L 11s<3/1>.
[[Category:Rank-2 temperaments]]
 
[[Category:Non-octave temperaments]]
== Interval chain (CTE tuning) ==
{| class="wikitable"
! Generators
! Cents
|-
|1
|535.932
|-
|2
|1071.864
|-
|3
|1607.796
|-
|4
|241.773
|-
|5
|777.705
|-
|6
|1313.637
|-
|7
|1849.569
|-
|8
|483.546
|-
|9
|1019.478
|-
|10
|1555.41
|-
|11
|189.387
|-
|12
|725.319
|-
|13
|1261.251
|-
|14
|1797.183
|-
|15
|431.16
|-
|16
|967.092
|}
== Chords ==
[[File:Electra chords.wav|thumb|Just 11:13:15 and 143:165:195 triads on A]]
The 11:13:15 triad is a characteristic feature of many Electra scales, and has been suggeested by [[User:CompactStar|CompactStar]] as a fundamental sonority for no-2's music, due to being relatively consonant compared to other no-2's chords. There is also a "minor" version of this triad, 143:165:195.  If 11:13:15 is treated as the fundamental sonority of no-2's music, then Electra can be viewed as the analogue to [[meantone]].
== EDTs supporting Electra temperament ==
* [[7edt]]
* [[18edt]]
* [[25edt]]
* [[29edt]]
* [[32edt]]
* [[39edt]]
* [[43edt]]
* [[46edt]] (or [[29edo]])
* [[53edt]]
* [[54edt]]
* [[57edt]]
* [[60edt]]
* [[67edt]]
* [[68edt]]
* [[71edt]]
 
==Scales==
*[[Electra7]]
[[Category:Temperaments]]
[[Category:Tritave]]
[[Category:Tritave-equivalent temperaments]]

Latest revision as of 09:08, 17 October 2026