14L 13s

↖ 13L 12s	↑ 14L 12s	15L 12s ↗
← 13L 13s	14L 13s	15L 13s →
↙ 13L 14s	↓ 14L 14s	15L 14s ↘

┌╥╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║│║│║│║│║│║│║│║│║││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLsLsLsLsLsLsLsLsLsLs sLsLsLsLsLsLsLsLsLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	25\27 to 13\14 (1111.1 ¢ to 1114.3 ¢)
Dark	1\14 to 2\27 (85.7 ¢ to 88.9 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	9:2 to 5:1
Related MOS scales
Parent	13L 1s
Sister	13L 14s
Daughters	27L 14s, 14L 27s
Neutralized	1L 26s
2-Flought	41L 13s, 14L 40s
Equal tunings
Equalized (L:s = 1:1)	25\27 (1111.1 ¢)
Supersoft (L:s = 4:3)	88\95 (1111.6 ¢)
Soft (L:s = 3:2)	63\68 (1111.8 ¢)
Semisoft (L:s = 5:3)	101\109 (1111.9 ¢)
Basic (L:s = 2:1)	38\41 (1112.2 ¢)
Semihard (L:s = 5:2)	89\96 (1112.5 ¢)
Hard (L:s = 3:1)	51\55 (1112.7 ¢)
Superhard (L:s = 4:1)	64\69 (1113.0 ¢)
Collapsed (L:s = 1:0)	13\14 (1114.3 ¢)

14L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 13 small steps, repeating every octave. 14L 13s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 1111.1 ¢ to 1114.3 ¢, or from 85.7 ¢ to 88.9 ¢.

The harmonic entropy minimum for this scale has +8 dark generators equal 3/2, which is approximately 41edo.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Scale tree and tuning spectrum of 14L 13s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
25\27						1111.111	88.889	1:1	1.000	Equalized 14L 13s
					138\149	1111.409	88.591	6:5	1.200
				113\122		1111.475	88.525	5:4	1.250
					201\217	1111.521	88.479	9:7	1.286
			88\95			1111.579	88.421	4:3	1.333	Supersoft 14L 13s
					239\258	1111.628	88.372	11:8	1.375
				151\163		1111.656	88.344	7:5	1.400
					214\231	1111.688	88.312	10:7	1.429
		63\68				1111.765	88.235	3:2	1.500	Soft 14L 13s
					227\245	1111.837	88.163	11:7	1.571
				164\177		1111.864	88.136	8:5	1.600
					265\286	1111.888	88.112	13:8	1.625
			101\109			1111.927	88.073	5:3	1.667	Semisoft 14L 13s
					240\259	1111.969	88.031	12:7	1.714
				139\150		1112.000	88.000	7:4	1.750
					177\191	1112.042	87.958	9:5	1.800
	38\41					1112.195	87.805	2:1	2.000	Basic 14L 13s Scales with tunings softer than this are proper
					165\178	1112.360	87.640	9:4	2.250
				127\137		1112.409	87.591	7:3	2.333
					216\233	1112.446	87.554	12:5	2.400
			89\96			1112.500	87.500	5:2	2.500	Semihard 14L 13s
					229\247	1112.551	87.449	13:5	2.600
				140\151		1112.583	87.417	8:3	2.667
					191\206	1112.621	87.379	11:4	2.750
		51\55				1112.727	87.273	3:1	3.000	Hard 14L 13s
					166\179	1112.849	87.151	10:3	3.333
				115\124		1112.903	87.097	7:2	3.500
					179\193	1112.953	87.047	11:3	3.667
			64\69			1113.043	86.957	4:1	4.000	Superhard 14L 13s
					141\152	1113.158	86.842	9:2	4.500
				77\83		1113.253	86.747	5:1	5.000
					90\97	1113.402	86.598	6:1	6.000
13\14						1114.286	85.714	1:0	→ ∞	Collapsed 14L 13s