2L 3s (3/2-equivalent)
| ↖ 1L 2s⟨3/2⟩ | ↑ 2L 2s⟨3/2⟩ | 3L 2s⟨3/2⟩ ↗ |
| ← 1L 3s⟨3/2⟩ | 2L 3s (3/2-equivalent) | 3L 3s⟨3/2⟩ → |
| ↙ 1L 4s⟨3/2⟩ | ↓ 2L 4s⟨3/2⟩ | 3L 4s⟨3/2⟩ ↘ |
┌╥┬╥┬┬┐ │║│║│││ │││││││ └┴┴┴┴┴┘
ssLsL
2L 3s⟨3/2⟩, also called saturnian, is a 3/2-equivalent (fifth-equivalent) moment of symmetry scale containing 2 large steps and 3 small steps, repeating every interval of 3/2 (702.0 ¢). Generators that produce this scale range from 280.8 ¢ to 351 ¢, or from 351 ¢ to 421.2 ¢. The name saturnian was coined by CompactStar, referring to this MOS being the sister MOS of uranian.
This scale contains 2 diminished triads represented by stacks of the minor third generator. Basic saturnian is in 7edf, a very close approximation of 12edo, which allows for playing diatonic music and saturnian music at the same time. 2L 3s⟨3/2⟩ is the parent of the 3/2-repeating microdiatonic scale, 5L 2s⟨3/2⟩, and the sister of 3L 2s⟨3/2⟩ (uranian) which is generated by a subminor third rather than a minor third.
Scale characteristics
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Theory
Temperament interpretations
From a half-prime subgroup point of view, 2L 3s⟨3/2⟩ can be interpreted as the Sirius B temperament in the 3/2.5/2.7/2 subgroup, where the generator is represented by the minor third ~25/21 and 2 of them make ~7/5. It may also be interpreted as meanquad temperament using a period of 3/2 rather than 4/1, where the generator is represented by 32/27~6/5 (in the CTE tuning, it is exactly 32/27). Both temperaments have very similar generators.
Modes
The mode names were coined by CompactStar, based on the 6 largest satellites of Saturn, excluding Titan since the "Titanian" name has been used for the uranian scale.
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 4|0 | 1 | LsLss |
| 3|1 | 3 | LssLs |
| 2|2 | 5 | sLsLs |
| 1|3 | 2 | sLssL |
| 0|4 | 4 | ssLsL |