4L 3s (3/1-equivalent): Difference between revisions

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4L 3s<3/1> MOS scales can be used for the [[Electra]] temperament, in which one step is approximately [[13/11]] and two steps are approximately [[15/11]].
4L 3s<3/1> MOS scales can be used for the [[Electra]] temperament, in which one step is approximately [[13/11]] and two steps are approximately [[15/11]].
== Scales ==
== Scales ==
 
{| class="wikitable"
! Generator
! Cents (chroma-positive)
! Cents (chroma-negative)
! L
! s
! L/s
! Comments
|-
| 5\7edt
| 1358.539
| 543.416
| 1
| 1
| 1.000
|
|-
| 18\25edt
| 1369.41
| 532.55
| 4
| 3
| 1.333
| [[Electra]] is in this region
|-
| 13\18edt
| 1373.634
| 528.321
| 3
| 2
| 1.500
|
|-
| 21\29edt
| 1377.2778
| 524.6772
| 5
| 3
| 1.667
|
|-
| 8\11edt
| 1383.2
| 518.7
| 2
| 1
| 2.000
| Basic electric (generators smaller than this are proper)
|}
[[Category:7-tone scales]]
[[Category:7-tone scales]]
[[Category:Tritave]]
[[Category:Tritave]]

Revision as of 03:49, 1 March 2023

WIP

↖ 3L 2s⟨3/1⟩ ↑ 4L 2s⟨3/1⟩ 5L 2s⟨3/1⟩ ↗
← 3L 3s⟨3/1⟩ 4L 3s (3/1-equivalent) 5L 3s⟨3/1⟩ →
↙ 3L 4s⟨3/1⟩ ↓ 4L 4s⟨3/1⟩ 5L 4s⟨3/1⟩ ↘
Scale structure
Step pattern LLsLsLs
sLsLsLL
Equave 3/1 (1902.0 ¢)
Period 3/1 (1902.0 ¢)
Generator size(edt)
Bright 5\7 to 3\4 (1358.5 ¢ to 1426.5 ¢)
Dark 1\4 to 2\7 (475.5 ¢ to 543.4 ¢)
Related MOS scales
Parent 3L 1s⟨3/1⟩
Sister 3L 4s⟨3/1⟩
Daughters 7L 4s⟨3/1⟩, 4L 7s⟨3/1⟩
Neutralized 1L 6s⟨3/1⟩
2-Flought 11L 3s⟨3/1⟩, 4L 10s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1) 5\7 (1358.5 ¢)
Supersoft (L:s = 4:3) 18\25 (1369.4 ¢)
Soft (L:s = 3:2) 13\18 (1373.6 ¢)
Semisoft (L:s = 5:3) 21\29 (1377.3 ¢)
Basic (L:s = 2:1) 8\11 (1383.2 ¢)
Semihard (L:s = 5:2) 19\26 (1389.9 ¢)
Hard (L:s = 3:1) 11\15 (1394.8 ¢)
Superhard (L:s = 4:1) 14\19 (1401.4 ¢)
Collapsed (L:s = 1:0) 3\4 (1426.5 ¢)
ViewTalkEdit

4L 3s<3/1> (or electric) refers to an MOS scale with four large steps and three small steps, one mode of which is LLsLsLs. It is generated by any interval between 1\4edt and 2\7edt.

Temperaments

4L 3s<3/1> MOS scales can be used for the Electra temperament, in which one step is approximately 13/11 and two steps are approximately 15/11.

Scales

Generator Cents (chroma-positive) Cents (chroma-negative) L s L/s Comments
5\7edt 1358.539 543.416 1 1 1.000
18\25edt 1369.41 532.55 4 3 1.333 Electra is in this region
13\18edt 1373.634 528.321 3 2 1.500
21\29edt 1377.2778 524.6772 5 3 1.667
8\11edt 1383.2 518.7 2 1 2.000 Basic electric (generators smaller than this are proper)