4L 3s (3/1-equivalent): Difference between revisions
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'''4L 3s<3/1>''' (or '''electric''') refers to a [[tritave]]-repeating [[MOS]] scale with four large steps and three small steps. It is generated by any interval between 1\4edt and 2\7edt. | '''4L 3s<3/1>''' (or '''electric''') refers to a [[tritave]]-repeating [[MOS]] scale with four large steps and three small steps. It is generated by any interval between 1\4edt and 2\7edt. | ||
== Temperaments == | == Temperaments == | ||
4L 3s<3/1> MOS scales can be used for the [[Electra]] temperament, in which | 4L 3s<3/1> MOS scales can be used for the [[Electra]] temperament, in which three generators down is approximately [[13/11]] and one generator up is approximately [[15/11]]. | ||
== Modes == | == Modes == | ||
{| class="wikitable" | {| class="wikitable" | ||
Revision as of 23:18, 1 March 2023
| ↖ 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
sLsLsLL
Generator size(edt)
Related MOS scales
Equal tunings(edt)
4L 3s<3/1> (or electric) refers to a tritave-repeating MOS scale with four large steps and three small steps. 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 three generators down is approximately 13/11 and one generator up is approximately 15/11.
Modes
| Mode | UDP | Name |
|---|---|---|
| LLsLsLs | 6|0 | |
| LsLLsLs | 5|1 | |
| LsLsLLs | 4|2 | |
| LsLsLsL | 3|3 | |
| sLLsLsL | 2|4 | |
| sLsLLsL | 1|5 | |
| sLsLsLL | 0|6 |
Scales
| Generator (chroma-positive) | 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) |
| 19\26edt | 1389.9 | 512.1 | 5 | 2 | 2.500 | |
| 11\15edt | 1394.767 | 507.188 | 3 | 1 | 3.000 | |
| 14\19edt | 1401.441 | 500.514 | 4 | 1 | 4.000 | |
| 17\23edt | 1405.7928 | 496.1622 | 5 | 1 | 5.000 | |
| 3\4edt | 1426.4663 | 475.4888 | 1 | 0 | -> inf |