7L 4s (3/1-equivalent): Difference between revisions

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== Temperaments ==
== Temperaments ==
7L 4s<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]]. If 11:13:15 is treated as the fundamental sonority of no-2's music instead of 3:5:7, then Electra can be viewed as the analogue to [[meantone]] and 7L 4s<3/1> can be viewed as the analogue to the chromatic scale.
7L 4s<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]]. 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]] and 7L 4s<3/1> can be viewed as the analogue to the chromatic scale.


[[Category:Tritave]]
[[Category:Tritave]]

Revision as of 02:03, 5 March 2023

WIP

↖ 6L 3s⟨3/1⟩ ↑ 7L 3s⟨3/1⟩ 8L 3s⟨3/1⟩ ↗
← 6L 4s⟨3/1⟩ 7L 4s (3/1-equivalent) 8L 4s⟨3/1⟩ →
↙ 6L 5s⟨3/1⟩ ↓ 7L 5s⟨3/1⟩ 8L 5s⟨3/1⟩ ↘ 
┌╥╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║║│║││
│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLs
sLsLLsLLsLL
Equave 3/1 (1902.0 ¢)
Period 3/1 (1902.0 ¢)
Generator size(edt)
Bright 3\11 to 2\7 (518.7 ¢ to 543.4 ¢)
Dark 5\7 to 8\11 (1358.5 ¢ to 1383.2 ¢)
Related MOS scales
Parent 4L 3s⟨3/1⟩
Sister 4L 7s⟨3/1⟩
Daughters 11L 7s⟨3/1⟩, 7L 11s⟨3/1⟩
Neutralized 3L 8s⟨3/1⟩
2-Flought 18L 4s⟨3/1⟩, 7L 15s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1) 3\11 (518.7 ¢)
Supersoft (L:s = 4:3) 11\40 (523.0 ¢)
Soft (L:s = 3:2) 8\29 (524.7 ¢)
Semisoft (L:s = 5:3) 13\47 (526.1 ¢)
Basic (L:s = 2:1) 5\18 (528.3 ¢)
Semihard (L:s = 5:2) 12\43 (530.8 ¢)
Hard (L:s = 3:1) 7\25 (532.5 ¢)
Superhard (L:s = 4:1) 9\32 (534.9 ¢)
Collapsed (L:s = 1:0) 2\7 (543.4 ¢)

7L 4s<3/1> (or superelectric) refers to a tritave-repeating MOS scale with seven large steps and four small steps. It is generated by any interval between 3\11edt and 2\7edt.

Temperaments

7L 4s<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. 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 and 7L 4s<3/1> can be viewed as the analogue to the chromatic scale.

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