11L 3s

↖ 10L 2s ↑ 11L 2s 12L 2s ↗

← 10L 3s 11L 3s 12L 3s →

↙ 10L 4s ↓ 11L 4s 12L 4s ↘
	Scale structure
Step pattern	LLLLsLLLLsLLLs; sLLLsLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	5\14 to 4\11 (428.6 ¢ to 436.4 ¢)
Dark	7\11 to 9\14 (763.6 ¢ to 771.4 ¢)
	TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	2:1 to 3:1 (hypohard)
	Related MOS scales
Parent	3L 8s
Sister	3L 11s
Daughters	14L 11s, 11L 14s
Neutralized	8L 6s
2-Flought	25L 3s, 11L 17s
	Equal tunings
Equalized (L:s = 1:1)	5\14 (428.6 ¢)
Supersoft (L:s = 4:3)	19\53 (430.2 ¢)
Soft (L:s = 3:2)	14\39 (430.8 ¢)
Semisoft (L:s = 5:3)	23\64 (431.2 ¢)
Basic (L:s = 2:1)	9\25 (432.0 ¢)
Semihard (L:s = 5:2)	22\61 (432.8 ¢)
Hard (L:s = 3:1)	13\36 (433.3 ¢)
Superhard (L:s = 4:1)	17\47 (434.0 ¢)
Collapsed (L:s = 1:0)	4\11 (436.4 ¢)
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11L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 3 small steps, repeating every octave. 11L 3s is a grandchild scale of 3L 5s, expanding it by 6 tones. Generators that produce this scale range from 428.6 ¢ to 436.4 ¢, or from 763.6 ¢ to 771.4 ¢. This scale was named the "Ketradektriatoh scale" by Osmiorisbendi‎.

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:

{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}

The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 11L 3s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
5\14						428.571	771.429	1:1	1.000	Equalized 11L 3s
					29\81	429.630	770.370	6:5	1.200
				24\67		429.851	770.149	5:4	1.250
					43\120	430.000	770.000	9:7	1.286
			19\53			430.189	769.811	4:3	1.333	Supersoft 11L 3s
					52\145	430.345	769.655	11:8	1.375
				33\92		430.435	769.565	7:5	1.400
					47\131	430.534	769.466	10:7	1.429
		14\39				430.769	769.231	3:2	1.500	Soft 11L 3s
					51\142	430.986	769.014	11:7	1.571
				37\103		431.068	768.932	8:5	1.600
					60\167	431.138	768.862	13:8	1.625
			23\64			431.250	768.750	5:3	1.667	Semisoft 11L 3s
					55\153	431.373	768.627	12:7	1.714
				32\89		431.461	768.539	7:4	1.750
					41\114	431.579	768.421	9:5	1.800
	9\25					432.000	768.000	2:1	2.000	Basic 11L 3s Scales with tunings softer than this are proper
					40\111	432.432	767.568	9:4	2.250
				31\86		432.558	767.442	7:3	2.333
					53\147	432.653	767.347	12:5	2.400
			22\61			432.787	767.213	5:2	2.500	Semihard 11L 3s
					57\158	432.911	767.089	13:5	2.600
				35\97		432.990	767.010	8:3	2.667
					48\133	433.083	766.917	11:4	2.750
		13\36				433.333	766.667	3:1	3.000	Hard 11L 3s
					43\119	433.613	766.387	10:3	3.333
				30\83		433.735	766.265	7:2	3.500
					47\130	433.846	766.154	11:3	3.667
			17\47			434.043	765.957	4:1	4.000	Superhard 11L 3s
					38\105	434.286	765.714	9:2	4.500
				21\58		434.483	765.517	5:1	5.000
					25\69	434.783	765.217	6:1	6.000
4\11						436.364	763.636	1:0	→ ∞	Collapsed 11L 3s