Electra: Difference between revisions
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[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category: | [[Category:Non-octave temperaments]] | ||
Latest revision as of 09:23, 29 April 2025
Electra is a tritave-repeating rank-2 temperament in the 3.5.11.13 subgroup, with a generator near 15/11 or its tritave complement, 11/5. The name was given by CompactStar in analogy to Sirius, Arcturus, and Canopus, which are tritave-repeating temperaments named after stars. It tempers out 14641/14625 (the amount by which three 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
| 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 |
* In CTE tuning
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. 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.