User:Ganaram inukshuk/4L 3s

↖ 3L 2s	↑ 4L 2s	5L 2s ↗
← 3L 3s	4L 3s	5L 3s →
↙ 3L 4s	↓ 4L 4s	5L 4s ↘

┌╥╥┬╥┬╥┬┐ │║║│║│║││ │││││││││ └┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLs sLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\7 to 3\4 (857.1 ¢ to 900.0 ¢)
Dark	1\4 to 2\7 (300.0 ¢ to 342.9 ¢)
TAMNAMS information
Name	smitonic
Prefix	smi-
Abbrev.	smi
Related MOS scales
Parent	3L 1s
Sister	3L 4s
Daughters	7L 4s, 4L 7s
Neutralized	1L 6s
2-Flought	11L 3s, 4L 10s
Equal tunings
Equalized (L:s = 1:1)	5\7 (857.1 ¢)
Supersoft (L:s = 4:3)	18\25 (864.0 ¢)
Soft (L:s = 3:2)	13\18 (866.7 ¢)
Semisoft (L:s = 5:3)	21\29 (869.0 ¢)
Basic (L:s = 2:1)	8\11 (872.7 ¢)
Semihard (L:s = 5:2)	19\26 (876.9 ¢)
Hard (L:s = 3:1)	11\15 (880.0 ¢)
Superhard (L:s = 4:1)	14\19 (884.2 ¢)
Collapsed (L:s = 1:0)	3\4 (900.0 ¢)

This is a test page. For the main page, see 4L 3s.

4L 3s, named smitonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 3 small steps, repeating every octave. Generators that produce this scale range from 857.1 ¢ to 900 ¢, or from 300 ¢ to 342.9 ¢.

Notation

Step ratio	Gamut
2:1 (11edo)	J, J&/K@, K, L, L&/M@, M, N, N&/O@, O, P, P&/J@, J
3:1 (15edo)	J, K@, J&, K, L, M@, L&, M, N, O@, N&, O, P, J@, P&, J
3:2 (18edo)	J, J&, K@, K, K&/L@, L, L&, M@, M, M&/N@, N, N&, O@, O, O&/P@, P, P&, J@, J

Tunings

Simple tunings

5L 2s for testing

User:MOS degrees is deprecated. Please use Template:MOS tunings instead.

Scale degree of 5L 2s

Scale degree	12edo (Basic, L:s = 2:1)		Approx. JI Ratios
	Steps	Cents
Perfect 0-diadegree (unison)	0	0	1/1 (exact)
Minor 1-diadegree	1	100
Major 1-diadegree	2	200
Minor 2-diadegree	3	300
Major 2-diadegree	4	400
Perfect 3-diadegree	5	500
Augmented 3-diadegree	6	600
Diminished 4-diadegree	6	600
Perfect 4-diadegree	7	700
Minor 5-diadegree	8	800
Major 5-diadegree	9	900
Minor 6-diadegree	10	1000
Major 6-diadegree	11	1100
Perfect 7-diadegree (octave)	12	1200	2/1 (exact)

Actual 4L 3s tunings

User:MOS degrees is deprecated. Please use Template:MOS tunings instead.

Scale degree of 4L 3s

Scale degree	15edo (Hard, L:s = 3:1)		Approx. JI Ratios
	Steps	Cents
Perfect 0-smidegree (unison)	0	0	1/1 (exact)
Minor 1-smidegree	1	80
Major 1-smidegree	3	240
Perfect 2-smidegree	4	320
Augmented 2-smidegree	6	480
Minor 3-smidegree	5	400
Major 3-smidegree	7	560
Minor 4-smidegree	8	640
Major 4-smidegree	10	800
Diminished 5-smidegree	9	720
Perfect 5-smidegree	11	880
Minor 6-smidegree	12	960
Major 6-smidegree	14	1120
Perfect 7-smidegree (octave)	15	1200	2/1 (exact)

User:MOS degrees is deprecated. Please use Template:MOS tunings instead.

Scale degree of 4L 3s

Scale degree	15edo (Hard, L:s = 3:1)		Approx. JI Ratios
	Steps	Cents
Perfect 0-smidegree (unison)	0	0	1/1 (exact)
Minor 1-smidegree	1	80
Major 1-smidegree	3	240
Perfect 2-smidegree	4	320
Augmented 2-smidegree	6	480
Minor 3-smidegree	5	400
Major 3-smidegree	7	560
Minor 4-smidegree	8	640
Major 4-smidegree	10	800
Diminished 5-smidegree	9	720
Perfect 5-smidegree	11	880
Minor 6-smidegree	12	960
Major 6-smidegree	14	1120
Perfect 7-smidegree (octave)	15	1200	2/1 (exact)

User:MOS degrees is deprecated. Please use Template:MOS tunings instead.

Scale degree of 4L 3s

Scale degree	32edo (L:s = 5:4)		Approx. JI Ratios
	Steps	Cents
Perfect 0-smidegree (unison)	0	0	1/1 (exact)
Minor 1-smidegree	4	150
Major 1-smidegree	5	187.5
Perfect 2-smidegree	9	337.5
Augmented 2-smidegree	10	375
Minor 3-smidegree	13	487.5
Major 3-smidegree	14	525
Minor 4-smidegree	18	675
Major 4-smidegree	19	712.5
Diminished 5-smidegree	22	825
Perfect 5-smidegree	23	862.5
Minor 6-smidegree	27	1012.5
Major 6-smidegree	28	1050
Perfect 7-smidegree (octave)	32	1200	2/1 (exact)

Proposed table output for MOS degrees template

Degree	2/1 step ratio (11edo)		3/1 step ratio (15edo)		3/2 step ratio (18edo)		Note name on J
	Steps	Cents	Steps	Cents	Steps	Cents
Perf. unison	0	0¢	0	0¢	0	0¢	J
Aug. unison	1	109.1¢	2	160¢	1	66.7¢	J&
Min. 1-smidegree	1	109.1¢	1	80¢	2	133.3¢	K@
. . .
Dim. octave	10	1090.9¢	13	1040¢	17	1133.3¢	J@
Perf. octave	11	1200¢	15	1200¢	18	1200¢	J

Modes

Modes of 4L 3s

UDP	Cyclic order	Step pattern
6|0	1	LLsLsLs
5|1	6	LsLLsLs
4|2	4	LsLsLLs
3|3	2	LsLsLsL
2|4	7	sLLsLsL
1|5	5	sLsLLsL
0|6	3	sLsLsLL