Electra: Difference between revisions

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'''Electra''' is a [[tritave]]-based 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 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>]] and 7L 4s<3/1>.
'''Electra''' is a [[tritave]]-based 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 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) ==
== Intervals ==
=== In 7-note MOS ===
Here, "major" qualirty is used for intervals in the mode 5|1 and "minor" quality is used for intervals in the mode 1|5.
{| class="wikitable"
{| class="wikitable"
|-
|-
! Generators
! Interval name
! Cents
! Cents ([[18edt]])
|-
|-
| 0
| Perfect unison
| 0.00
| 0.000
|-
|-
| 1
| Diminished mosstep
| 1366.02
| 211.328
|-
|-
| 2
| Minor mosstep
| 830.08
| 316.993
|-
|-
| 3
| Augmented mosstep
| 294.14
| 422.657
|-
|-
| 4
| Diminshed 2-mosstep
| 1660.16
| 422.657
|-
|-
| 5
| Perfect 2-mosstep
| 1124.22
| 528.321
|-
|-
| 6
| Augmented 2-mosstep
| 588.27
| 633.985
|-
|-  
| 7
|  
| 52.34
|-
| 8
| 1418.36
|}
|}
== Chords ==
== Chords ==

Revision as of 05:17, 1 March 2023

Electra is a tritave-based 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 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>.

Intervals

In 7-note MOS

Here, "major" qualirty is used for intervals in the mode 5|1 and "minor" quality is used for intervals in the mode 1|5.

Interval name Cents (18edt)
Perfect unison 0.000
Diminished mosstep 211.328
Minor mosstep 316.993
Augmented mosstep 422.657
Diminshed 2-mosstep 422.657
Perfect 2-mosstep 528.321
Augmented 2-mosstep 633.985

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 als a "minor" version of this triad, 143:165:195.