Electra: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
m Collect non-octave temperaments in one category |
||
| (13 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
'''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 == | |||
== Interval chain | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |||
! Generators | ! Generators | ||
! Cents | ! Cents* | ||
|- | |- | ||
|1 | | 1 | ||
|535.932 | | 535.932 | ||
|- | |- | ||
|2 | | 2 | ||
|1071.864 | | 1071.864 | ||
|- | |- | ||
|3 | | 3 | ||
|1607.796 | | 1607.796 | ||
|- | |- | ||
|4 | | 4 | ||
|241.773 | | 241.773 | ||
|- | |- | ||
|5 | | 5 | ||
|777.705 | | 777.705 | ||
|- | |- | ||
|6 | | 6 | ||
|1313.637 | | 1313.637 | ||
|- | |- | ||
|7 | | 7 | ||
|1849.569 | | 1849.569 | ||
|- | |- | ||
|8 | | 8 | ||
|483.546 | | 483.546 | ||
|- | |- | ||
|9 | | 9 | ||
|1019.478 | | 1019.478 | ||
|- | |- | ||
|10 | | 10 | ||
|1555.41 | | 1555.41 | ||
|- | |- | ||
|11 | | 11 | ||
|189.387 | | 189.387 | ||
|- | |- | ||
|12 | | 12 | ||
|725.319 | | 725.319 | ||
|- | |- | ||
|13 | | 13 | ||
|1261.251 | | 1261.251 | ||
|- | |- | ||
|14 | | 14 | ||
|1797.183 | | 1797.183 | ||
|- | |- | ||
|15 | | 15 | ||
|431.16 | | 431.16 | ||
|- | |- | ||
|16 | | 16 | ||
|967.092 | | 967.092 | ||
|} | |} | ||
<nowiki />* In CTE tuning | |||
== Chords == | == Chords == | ||
[[File:Electra chords.wav|thumb|11:13:15 and 143:165:195 triads on A]] | [[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. | 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 == | == EDTs supporting Electra temperament == | ||
* [[7edt]] | * [[7edt]] | ||
| Line 66: | Line 69: | ||
* [[39edt]] | * [[39edt]] | ||
* [[43edt]] | * [[43edt]] | ||
* [[46edt]] (or [[29edo]]) | |||
* [[53edt]] | * [[53edt]] | ||
* [[54edt]] | * [[54edt]] | ||
| Line 73: | Line 77: | ||
* [[68edt]] | * [[68edt]] | ||
* [[71edt]] | * [[71edt]] | ||
==Scales== | |||
*[[Electra7]] | == Scales == | ||
[[Category: | * [[Electra7]] | ||
[[Category: | |||
[[Category:Electra| ]] <!-- main article --> | |||
[[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.