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 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<3/1>, and 7L 11s<3/1>. | ||
== Interval chain ( | == Interval chain (CTE tuning) == | ||
{| class="wikitable" | {| class="wikitable" | ||
! Generators | ! Generators | ||
| Line 8: | Line 8: | ||
|- | |- | ||
|1 | |1 | ||
| | |535.932 | ||
|- | |- | ||
|2 | |2 | ||
| | |1071.864 | ||
|- | |- | ||
|3 | |3 | ||
| | |1607.796 | ||
|- | |- | ||
|4 | |4 | ||
| | |241.773 | ||
|- | |- | ||
|5 | |5 | ||
| | |777.705 | ||
|- | |- | ||
|6 | |6 | ||
| | |1313.637 | ||
|- | |- | ||
|7 | |7 | ||
| | |1849.569 | ||
|- | |- | ||
|8 | |8 | ||
| | |483.546 | ||
|- | |- | ||
|9 | |9 | ||
| | |1019.478 | ||
|- | |- | ||
|10 | |10 | ||
| | |1555.41 | ||
|- | |- | ||
|11 | |11 | ||
| | |189.387 | ||
|- | |- | ||
|12 | |12 | ||
| | |725.319 | ||
|- | |- | ||
|13 | |13 | ||
| | |1261.251 | ||
|- | |- | ||
|14 | |14 | ||
| | |1797.183 | ||
|- | |- | ||
|15 | |15 | ||
| | |431.16 | ||
|- | |- | ||
|16 | |16 | ||
| | |967.092 | ||
|} | |} | ||
== Chords == | == Chords == | ||
Revision as of 23:16, 1 March 2023
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 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<3/1>, 7L 4s<3/1>, and 7L 11s<3/1>.
Interval chain (CTE tuning)
| 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
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.