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 ¢)
View • Talk • Edit

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. Although, one difference is that the "perfect fourth" can go up to a subfifth in the most extreme case.

Modes

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

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 1L 3s⟨3/2⟩

Generator(edf)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\4						526.466	175.489	1:1	1.000	Equalized 1L 3s⟨3/2⟩
					16\21	534.823	167.132	6:5	1.200
				13\17		536.789	165.166	5:4	1.250
					23\30	538.166	163.790	9:7	1.286
			10\13			539.965	161.990	4:3	1.333	Supersoft 1L 3s⟨3/2⟩
					27\35	541.508	160.447	11:8	1.375
				17\22		542.420	159.535	7:5	1.400
					24\31	543.449	158.506	10:7	1.429
		7\9				545.965	155.990	3:2	1.500	Soft 1L 3s⟨3/2⟩
					25\32	548.402	153.553	11:7	1.571
				18\23		549.356	152.599	8:5	1.600
					29\37	550.181	151.774	13:8	1.625
			11\14			551.536	150.419	5:3	1.667	Semisoft 1L 3s⟨3/2⟩
					26\33	553.055	148.900	12:7	1.714
				15\19		554.175	147.780	7:4	1.750
					19\24	555.714	146.241	9:5	1.800
	4\5					561.564	140.391	2:1	2.000	Basic 1L 3s⟨3/2⟩ Scales with tunings softer than this are proper
					17\21	568.249	133.706	9:4	2.250
				13\16		570.338	131.617	7:3	2.333
					22\27	571.963	129.992	12:5	2.400
			9\11			574.327	127.628	5:2	2.500	Semihard 1L 3s⟨3/2⟩
					23\28	576.606	125.349	13:5	2.600
				14\17		578.081	123.874	8:3	2.667
					19\23	579.876	122.079	11:4	2.750
		5\6				584.963	116.993	3:1	3.000	Hard 1L 3s⟨3/2⟩
					16\19	591.120	110.835	10:3	3.333
				11\13		593.962	107.993	7:2	3.500
					17\20	596.662	105.293	11:3	3.667
			6\7			601.676	100.279	4:1	4.000	Superhard 1L 3s⟨3/2⟩
					13\15	608.361	93.594	9:2	4.500
				7\8		614.211	87.744	5:1	5.000
					8\9	623.960	77.995	6:1	6.000
1\1						701.955	0.000	1:0	→ ∞	Collapsed 1L 3s⟨3/2⟩

Temperaments

Poseidon

This temperament equates 2 11/8 with 5/4. It contains an 8:10:11 triad, which sounds quite similar to a major triad although with increased tension. 9edf (and thus Carlos Alpha) is a good tuning for this temperament with its accurate 5/4 and 11/8.

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]]

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

Auk

Main article: Auk

Subgroup: 3/2.7.13

Comma list: 87808/85293

CTE generator: ~28/9 = 1950.859

Mapping: [⟨1 2 -2], ⟨0 1 3]]

Supporting ETs: 5, 9, 13, 14, 6[+13], 17[-7, -13], 7[-7, -13], 22[-7], 19[+13], 23[+13], 11[+13], 21[-7, -13], 31[-7], 25[-7, -13]