3L 2s (3/2-equivalent)

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

┌╥╥┬╥┬┐
│║║│║││
│││││││
└┴┴┴┴┴┘

Scale structure

Step pattern

LLsLs
sLsLL

Equave

3/2 (702.0 ¢)

Period

3/2 (702.0 ¢)

Generator size^(edf)

Bright

3\5 to 2\3 (421.2 ¢ to 468.0 ¢)

Dark

1\3 to 2\5 (234.0 ¢ to 280.8 ¢)

Related MOS scales

5L 3s⟨3/2⟩, 3L 5s⟨3/2⟩

Neutralized

1L 4s⟨3/2⟩

2-Flought

8L 2s⟨3/2⟩, 3L 7s⟨3/2⟩

Equal tunings^(edf)

Equalized (L:s = 1:1)

3\5 (421.2 ¢)

Supersoft (L:s = 4:3)

11\18 (429.0 ¢)

8\13 (432.0 ¢)

13\21 (434.5 ¢)

5\8 (438.7 ¢)

12\19 (443.3 ¢)

7\11 (446.7 ¢)

Superhard (L:s = 4:1)

9\14 (451.3 ¢)

Collapsed (L:s = 1:0)

2\3 (468.0 ¢)

3L 2s<3/2> (sometimes called uranian), is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is 3/2, disambiguating it from octave-repeating 3L 2s.

Because uranian is a fifth-repeating scale, each tone has a 3/2 perfect fifth above it. The scale has three major chords and two minor chords, all voiced so that the third of the triad is an octave higher, a tenth. Uranian also has two harmonic 7th chords.

Basic uranian is in 8edf, which is a very good fifth-based equal tuning similar to 88cET.

Temperaments

The most basic rank-2 temperament interpretation of uranian is semiwolf, which has 4:7:10 chords spelled root-(p+1g)-(3p-2g) (p = 3/2, g = the approximate 7/6). The name "semiwolf" comes from two 7/6 generators approximating a 27/20 wolf fourth.