View source for 1L 1s (3/2-equivalent)

{{Infobox MOS
| Equave = 3/2
| nLargeSteps = 1
| nSmallSteps = 1
| Equalized = 1
| Collapsed = 1
| Pattern = Ls
}}

'''1L 1s&lt;3/2&gt;''' is a fifth-repeating MOS scale. The notation "&lt;3/2&gt;" means the period of the MOS is perfect fifth of [[3/2]], disambiguating it from octave-repeating [[1L 1s]].

This MOS scale makes root-3rd-P5 triads with pure perfect fifth (e.g. [[List of root-3rd-P5 triads in JI|4:5:6, 6:7:9, 10:12:15 and 14:18:21]]).

The chroma-positive generator is between 351 cents (square root of 3/2) and 702 cents (pure 3/2), which makes various major triads such as 4:5:6, 10:13:15 and 14:18:21.

== Tuning ranges ==
Soft tunings (hyposoft, parasoft and ultrasoft) make root-3rd-P5 triads including 4:5:6, 6:7:9, 10:12:15, 10:13:15, 14:17:21, 14:18:21, 16:19:24, 18:22:27 and 18:23:27. The chroma-positive generator is a major third (or hemisixth), and the chroma-negative generator is a minor third (or hemifourth).

Hypohard tuning makes root-4th-P5 triads including 6:8:9, 16:21:24 and 20:27:30. The chroma-positive generator is a fourth and the chroma-negative generator is a whole tone.

== Modes ==
{{MOS modes}}

== Intervals ==
{{MOS intervals}}

== Scale tree ==
Generator ranges:
* Chroma-positive generator: 350.9775 cents (1\2ed3/2) to 701.9550 cents (1\1ed3/2)
* Chroma-negative generator: 0 cents (0\1ed3/2) to 350.9775 cents (1\2ed3/2)

{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
| 1\2 || || || || || || 350.978 || 1 || 1 || 1.000 || 
|-
| || || || || || 6\11 || 382.885 || 6 || 5 || 1.200 || [[Carlos Beta]]
|-
| || || || || 5\9 || || 389.975 || 5 || 4 || 1.250 || [[Carlos Alpha]]
|-
| || || || || || 9\16 || 394.850 || 9 || 7 || 1.286 || 
|-
| || || || 4\7 || || || 401.117 || 4 || 3 || 1.333 || [[12edo]]-esque triad
|-
| || || || || || 11\19 || 406.395 || 11 || 8 || 1.375 || 
|-
| || || || || 7\12 || || 409.474 || 7 || 5 || 1.400 || 
|-
| || || || || || 10\17 || 412.915 || 10 || 7 || 1.429 || 
|-
| || || 3\5 || || || || 421.173 || 3 || 2 || 1.500 || 
|-
| || || || || || 11\18 || 428.973 || 11 || 7 || 1.571 || 
|-
| || || || || 8\13 || || 431.972 || 8 || 5 || 1.600 || 
|-
| || || || || || 13\21 || 434.544 || 13 || 8 || 1.625 || Unnamed golden tuning (433.8320¢)
|-
| || || || 5\8 || || || 438.722 || 5 || 3 || 1.667 || 
|-
| || || || || || 12\19 || 443.340 || 12 || 7 || 1.714 || 
|-
| || || || || 7\11 || || 446.699 || 7 || 4 || 1.750 || 
|-
| || || || || || 9\14 || 451.257 || 9 || 5 || 1.800 || 
|-
| || 2\3 || || || || || 467.970 || 2 || 1 || 2.000 || Gamelan tuning <br>(Basic 1L 1s&lt;3/2&gt;)
|-
| || || || || || 9\13 || 485.969 || 9 || 4 || 2.250 || 
|-
| || || || || 7\10 || || 491.369 || 7 || 3 || 2.333 || 
|-
| || || || || || 12\17 || 495.498 || 12 || 5 || 2.400 || 
|-
| || || || 5\7 || || || 501.396 || 5 || 2 || 2.500 || Sus4 chord
|-
| || || || || || 13\18 || 506.968 || 13 || 5 || 2.600 || Unnamed golden tuning (507.9394¢)
|-
| || || || || 8\11 || || 510.513 || 8 || 3 || 2.667 || 
|-
| || || || || || 11\15 || 514.767 || 11 || 4 || 2.750 || 
|-
| || || 3\4 || || || || 526.466 || 3 || 1 || 3.000 || 
|-
| || || || || || 10\13 || 539.965 || 10 || 3 || 3.333 || 
|-
| || || || || 7\9 || || 545.965 || 7 || 2 || 3.500 || 
|-
| || || || || || 11\14 || 551.536 || 11 || 3 || 3.667 || 
|-
| || || || 4\5 || || || 561.564 || 4 || 1 || 4.000 || 
|-
| || || || || || 9\11 || 574.327 || 9 || 2 || 4.500 || 
|-
| || || || || 5\6 || || 584.963 || 5 || 1 || 5.000 || 
|-
| || || || || || 6\7 || 601.676 || 6 || 1 || 6.000 || 
|-
| 1\1 || || || || || || 701.955 || 1 || 0 || → inf || 
|}

== See also ==
* [[List of root-3rd-P5 triads in JI]]

[[Category:Triad]]
[[Category:Nonoctave]]