Electra: Difference between revisions
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'''Electra''' is a [[tritave]]- | '''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 [[User:CompactStar|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 {{mos scalesig|4L 3s<3/1>|link=1}}, {{mos scalesig|7L 4s<3/1>|link=1}}, and {{mos scalesig|7L 11s<3/1>|link=1}}. | ||
== | == Interval chain == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Generators | ||
! Cents | ! 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 | |||
|} | |} | ||
<nowiki />* In CTE tuning | |||
== 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 | [[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: | [[Category:Electra| ]] <!-- main article --> | ||
[[Category: | [[Category:Rank-2 temperaments]] | ||
[[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.