9L 2s (3/1-equivalent)

Revision as of 20:28, 26 February 2024 by Ganaram inukshuk (talk | contribs) (a space)
↖ 8L 1s⟨3/1⟩ ↑ 9L 1s⟨3/1⟩ 10L 1s⟨3/1⟩ ↗
← 8L 2s⟨3/1⟩ 9L 2s (3/1-equivalent) 10L 2s⟨3/1⟩ →
↙ 8L 3s⟨3/1⟩ ↓ 9L 3s⟨3/1⟩ 10L 3s⟨3/1⟩ ↘
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│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLsLLLLs
sLLLLsLLLLL
Equave 3/1 (1902.0 ¢)
Period 3/1 (1902.0 ¢)
Generator size(edt)
Bright 6\11 to 5\9 (1037.4 ¢ to 1056.6 ¢)
Dark 4\9 to 5\11 (845.3 ¢ to 864.5 ¢)
Related MOS scales
Parent 2L 7s⟨3/1⟩
Sister 2L 9s⟨3/1⟩
Daughters 11L 9s⟨3/1⟩, 9L 11s⟨3/1⟩
Neutralized 7L 4s⟨3/1⟩
2-Flought 20L 2s⟨3/1⟩, 9L 13s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1) 6\11 (1037.4 ¢)
Supersoft (L:s = 4:3) 23\42 (1041.5 ¢)
Soft (L:s = 3:2) 17\31 (1043.0 ¢)
Semisoft (L:s = 5:3) 28\51 (1044.2 ¢)
Basic (L:s = 2:1) 11\20 (1046.1 ¢)
Semihard (L:s = 5:2) 27\49 (1048.0 ¢)
Hard (L:s = 3:1) 16\29 (1049.4 ¢)
Superhard (L:s = 4:1) 21\38 (1051.1 ¢)
Collapsed (L:s = 1:0) 5\9 (1056.6 ¢)

9L 2s⟨3/1⟩, also called sub-Arcturus, is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 9 large steps and 2 small steps, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 1037.4 ¢ to 1056.6 ¢, or from 845.3 ¢ to 864.5 ¢. This MOS family is the simplest tritave-equivalent scale using an "ordinary" ~5:3 as a generator. Of course, it is on the extremely flat end of what is "ordinary", being the same size as a neutral sixth. Coincidentally, its categorical name in this scale happens to be "sixth" also, just not in the "ordinary" diatonic sense of the name. Because this "sixth" is so flat, "sixths" in the range of propriety lead, in three steps, when tritave reduced, into the Mavila continuum and the bottom of the syntonic continuum.

Scale tree

Template:Scale tree