Electra: Difference between revisions
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'''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 | '''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 comma 14641/14625, the amount by which 3 11/5's exceed 117/11. It possesses MOS scales of the families [[4L 3s (tritave-equivalent)|4L 3s<3/1>]], 7L 4s<3/1>, and 7L 11s<3/1>. | ||
== Interval chain ( | == Interval chain (just 15/11 tuning) == | ||
{| class="wikitable" | {| class="wikitable" | ||
! Generators | ! Generators | ||
| Line 9: | Line 9: | ||
|- | |- | ||
|1 | |1 | ||
| | |536.951 | ||
|- | |- | ||
|2 | |2 | ||
| | |1073.902 | ||
|- | |- | ||
|3 | |3 | ||
| | |1610.853 | ||
|- | |- | ||
|4 | |4 | ||
| | |245.849 | ||
|- | |- | ||
|5 | |5 | ||
| | |782.8 | ||
|- | |- | ||
|6 | |6 | ||
| | |1319.751 | ||
|- | |- | ||
|7 | |7 | ||
| | |1856.702 | ||
|- | |- | ||
|8 | |8 | ||
| | |491.698 | ||
|- | |- | ||
|9 | |9 | ||
| | |1028.649 | ||
|- | |- | ||
|10 | |10 | ||
| | |1565.6 | ||
|- | |- | ||
|11 | |11 | ||
| | |200.596 | ||
|- | |- | ||
|12 | |12 | ||
| | |737.547 | ||
|- | |- | ||
|13 | |13 | ||
| | |1274.498 | ||
|- | |- | ||
|14 | |14 | ||
| | |1811.449 | ||
|- | |- | ||
|15 | |15 | ||
| | |446.445 | ||
|- | |- | ||
|16 | |16 | ||
| | |983.396 | ||
|} | |} | ||
== Chords == | == Chords == | ||
| Line 60: | Line 60: | ||
== EDTs supporting Electra temperament == | == EDTs supporting Electra temperament == | ||
* [[7edt]] | * [[7edt]] | ||
* [[11edt]] | * [[11edt]] | ||
* [[18edt]] | * [[18edt]] | ||
* [[25edt]] | * [[25edt]] | ||
* [[29edt]] | * [[29edt]] | ||
* [[32edt]] | * [[32edt]] | ||
* [[39edt]] | * [[39edt]] | ||
* [[43edt]] | * [[43edt]] | ||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Tritave]] | [[Category:Tritave]] | ||
Revision as of 07:56, 1 March 2023
WIP
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 CompactStar in analogy to the Sirius, Arcturus, and Canopus star names used for other tritave-repeating temperaments. It tempers out the comma 14641/14625, the amount by which 3 11/5's exceed 117/11. It possesses MOS scales of the families 4L 3s<3/1>, 7L 4s<3/1>, and 7L 11s<3/1>.
Interval chain (just 15/11 tuning)
| Generators | Cents |
|---|---|
| 1 | 536.951 |
| 2 | 1073.902 |
| 3 | 1610.853 |
| 4 | 245.849 |
| 5 | 782.8 |
| 6 | 1319.751 |
| 7 | 1856.702 |
| 8 | 491.698 |
| 9 | 1028.649 |
| 10 | 1565.6 |
| 11 | 200.596 |
| 12 | 737.547 |
| 13 | 1274.498 |
| 14 | 1811.449 |
| 15 | 446.445 |
| 16 | 983.396 |
Chords
The 11:13:15 triad is a characteristic feature of many Electra scales, and has been suggeested by 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.