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 commas 1875/1859 and 14641/14625, with the latter being 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>. | '''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 1875/1859 and 14641/14625, with the latter being 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 (CTE tuning) == | ||
{| class="wikitable" | |||
! Generators | |||
! Cents ~ cents tritave-reduced | |||
|- | |||
|1 | |||
|535.932 | |||
|- | |||
|2 | |||
|1071.864 | |||
|- | |||
|3 | |||
|1607.796 | |||
|- | |||
|4 | |||
|2143.728 ~ 241.773 | |||
|- | |||
|5 | |||
|2679.66 ~ 777.705 | |||
|- | |||
|6 | |||
|3215.592 ~ 1313.637 | |||
|- | |||
|7 | |||
| | |||
|} | |||
== Chords == | == Chords == | ||
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. | 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. | ||
Revision as of 07:29, 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 commas 1875/1859 and 14641/14625, with the latter being 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 (CTE tuning)
| Generators | Cents ~ cents tritave-reduced |
|---|---|
| 1 | 535.932 |
| 2 | 1071.864 |
| 3 | 1607.796 |
| 4 | 2143.728 ~ 241.773 |
| 5 | 2679.66 ~ 777.705 |
| 6 | 3215.592 ~ 1313.637 |
| 7 |
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.