User:Ganaram inukshuk/4L 3s

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

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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

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

Scale degree of 4L 3s

Scale degree	11edo (Basic, L:s = 2:1)		Approx. JI Ratios
	Steps	Cents
Perfect 0-smidegree (unison)	0	0	1/1 (exact)
Minor 1-smidegree	1	109.1
Major 1-smidegree	2	218.2
Perfect 2-smidegree	3	327.3
Augmented 2-smidegree	4	436.4
Minor 3-smidegree	4	436.4
Major 3-smidegree	5	545.5
Minor 4-smidegree	6	654.5
Major 4-smidegree	7	763.6
Diminished 5-smidegree	7	763.6
Perfect 5-smidegree	8	872.7
Minor 6-smidegree	9	981.8
Major 6-smidegree	10	1090.9
Perfect 7-smidegree (octave)	11	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	18edo (Soft, L:s = 3:2)		Approx. JI Ratios
	Steps	Cents
Perfect 0-smidegree (unison)	0	0	1/1 (exact)
Minor 1-smidegree	2	133.3
Major 1-smidegree	3	200
Perfect 2-smidegree	5	333.3
Augmented 2-smidegree	6	400
Minor 3-smidegree	7	466.7
Major 3-smidegree	8	533.3
Minor 4-smidegree	10	666.7
Major 4-smidegree	11	733.3
Diminished 5-smidegree	12	800
Perfect 5-smidegree	13	866.7
Minor 6-smidegree	15	1000
Major 6-smidegree	16	1066.7
Perfect 7-smidegree (octave)	18	1200	2/1 (exact)

Proposed table output for MOS degrees template

Degree	Note name	2/1 step ratio (11edo)	3/1 step ratio (15edo)	3/2 step ratio (18edo)
Perf. 0-mosstep (unison)	J	0\11, 0¢	0\15, 0¢	0\18, 0¢
Perf. 5-mosstep	O	8\11, 872.7¢	11\15, 880¢	13\18, 866.7¢
Maj. 3-mosstep	M	5\11, 545.5¢	7\15, 560¢	8\18, 533.3¢
Maj. 1-mosstep	K	2\11, 218.2¢	3\15, 240¢	3\18, 200¢
Maj. 6-mosstep	P&	10\11, 1090.9¢	14\15, 1120¢	16\18, 1066.7¢
Maj. 4-mosstep	N&	7\11, 763.6¢	10\15, 800¢	11\18, 733.3¢
Aug. 2-mosstep	L&	4\11, 436.4¢	6\15, 480¢	6\18, 400¢
Aug. 0-mosstep (unison)	J&	1\11, 109.1¢	2\15, 160¢	1\18, 66.7¢
Aug. 5-mosstep	O&	9\11, 981.8¢	13\15, 1040¢	14\18, 933.3¢
Aug. 3-mosstep	M&	6\11, 654.5¢	9\15, 720¢	9\18, 600¢
Aug. 1-mosstep	K&	3\11, 327.3¢	5\15, 400¢	4\18, 266.7¢
Dim. 6-mosstep	P@	8\11, 872.7¢	10\15, 800¢	14\18, 933.3¢
Dim. 4-mosstep	N@	5\11, 545.5¢	6\15, 480¢	9\18, 600¢
Dim. 2-mosstep	L@	2\11, 218.2¢	2\15, 160¢	4\18, 266.7¢
Dim. 7-mosstep (equave)	J@	10\11, 1090.9¢	13\15, 1040¢	17\18, 1133.3¢
Dim. 5-mosstep	O@	7\11, 763.6¢	9\15, 720¢	12\18, 800¢
Min. 3-mosstep	M@	4\11, 436.4¢	5\15, 400¢	7\18, 466.7¢
Min. 1-mosstep	K@	1\11, 109.1¢	1\15, 80¢	2\18, 133.3¢
Min. 6-mosstep	P	9\11, 981.8¢	12\15, 960¢	15\18, 1000¢
Min. 4-mosstep	N	6\11, 654.5¢	8\15, 640¢	10\18, 666.7¢
Perf. 2-mosstep	L	3\11, 327.3¢	4\15, 320¢	5\18, 333.3¢
Perf. 7-mosstep (equave)	(J)	11\11, 1200¢	15\15, 1200¢	18\18, 1200¢

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