1L 3s (3/2-equivalent)

	↑ 1L 2s⟨3/2⟩	2L 2s⟨3/2⟩ ↗
	1L 3s (3/2-equivalent)	2L 3s⟨3/2⟩ →
	↓ 1L 4s⟨3/2⟩	2L 4s⟨3/2⟩ ↘

┌╥┬┬┬┐ │║││││ ││││││ └┴┴┴┴┘
Scale structure
Step pattern	Lsss sssL
Equave	3/2 (702.0 ¢)
Period	3/2 (702.0 ¢)
Generator size(edf)
Bright	3\4 to 1\1 (526.5 ¢ to 702.0 ¢)
Dark	0\1 to 1\4 (0.0 ¢ to 175.5 ¢)
Related MOS scales
Parent	1L 2s⟨3/2⟩
Sister	3L 1s⟨3/2⟩
Daughters	4L 1s⟨3/2⟩, 1L 4s⟨3/2⟩
Neutralized	2L 2s⟨3/2⟩
2-Flought	5L 3s⟨3/2⟩, 1L 7s⟨3/2⟩
Equal tunings(edf)
Equalized (L:s = 1:1)	3\4 (526.5 ¢)
Supersoft (L:s = 4:3)	10\13 (540.0 ¢)
Soft (L:s = 3:2)	7\9 (546.0 ¢)
Semisoft (L:s = 5:3)	11\14 (551.5 ¢)
Basic (L:s = 2:1)	4\5 (561.6 ¢)
Semihard (L:s = 5:2)	9\11 (574.3 ¢)
Hard (L:s = 3:1)	5\6 (585.0 ¢)
Superhard (L:s = 4:1)	6\7 (601.7 ¢)
Collapsed (L:s = 1:0)	1\1 (702.0 ¢)

1L 3s<3/2> (or neptunian), is a fifth-repeating MOS scale with 1 large step and 3 small steps. The name "neptunian" was given by CompactStar in analogy to "uranian" name for 3L 2s<3/2>.

Notation

Due to being a tetratonic scale, neptunian interval classes often line up with diatonic interval classes (at least for L/s < 2/1) so similar note names can be used.

Modes

• 3|0 Lsss "tritonian"
• 2|1 sLss "protean"
• 1|2 ssLs "nereidian"
• 0|3 sssL "larissan"

Scale tree

Generator (chroma-positive)	Cents (chroma-positive)	L	s	L/s	Comments
3\4edf	526.5	1	1	1.0000
13\17edf	536.8	5	4	1.2500
10\13edf	540.0	4	3	1.3333
7\9edf	546.0	3	2	1.5000	Poseidon is around here
11\14edf	551.5	5	3	1.6667
15\19edf	554.2	7	4	1.7500
4\5edf	561.6	2	1	2.0000
9\11edf	574.3	5	2	2.5000
5\6edf	585.0	3	1	3.0000
6\7edf	601.7	4	1	4.0000
7\8edf	614.2	5	1	5.0000
1\1edf	702.0	1	0	-> inf

Temperaments

Poseidon

This temperament equates 2 11/8 with 5/4. It contains an 8:10:11 triad.

Subgroup: 3/2.5/4.11/8

Comma list: 121/120

Gencom: [3/2 12/11; 121/120]

POTE generator: ~12/11 = 158.29

Mapping: [⟨1 1 1], ⟨0 2 -1]]

EDFs: 9, 5, 13, 22, 14, 31, 17, 6[+5/4], 23, 40, 35, 21[-5/4], 19[+5/4], 49