7L 13s

↖ 6L 12s	↑ 7L 12s	8L 12s ↗
← 6L 13s	7L 13s	8L 13s →
↙ 6L 14s	↓ 7L 14s	8L 14s ↘

┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║││║││║│││ ││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLssLssLssLssLss ssLssLssLssLssLssLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	17\20 to 6\7 (1020.0 ¢ to 1028.6 ¢)
Dark	1\7 to 3\20 (171.4 ¢ to 180.0 ¢)
TAMNAMS information
Related to	6L 1s (archaeotonic)
With tunings	1:1 to 3:2 (soft)
Related MOS scales
Parent	7L 6s
Sister	13L 7s
Daughters	20L 7s, 7L 20s
Neutralized	14L 6s
2-Flought	27L 13s, 7L 33s
Equal tunings
Equalized (L:s = 1:1)	17\20 (1020.0 ¢)
Supersoft (L:s = 4:3)	57\67 (1020.9 ¢)
Soft (L:s = 3:2)	40\47 (1021.3 ¢)
Semisoft (L:s = 5:3)	63\74 (1021.6 ¢)
Basic (L:s = 2:1)	23\27 (1022.2 ¢)
Semihard (L:s = 5:2)	52\61 (1023.0 ¢)
Hard (L:s = 3:1)	29\34 (1023.5 ¢)
Superhard (L:s = 4:1)	35\41 (1024.4 ¢)
Collapsed (L:s = 1:0)	6\7 (1028.6 ¢)

7L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 13 small steps, repeating every octave. 7L 13s is a grandchild scale of 6L 1s, expanding it by 13 tones. Generators that produce this scale range from 1020 ¢ to 1028.6 ¢, or from 171.4 ¢ to 180 ¢.

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

Tuning spectrum

Tetracot / enipucrop range. See also 7L 6s, 7L 13s, and 13L 7s.

Scale tree and tuning spectrum of 7L 13s

Generator(edo)							Cents		Step ratio		Comments
							Bright	Dark	L:s	Hardness
17\20							1020.000	180.000	1:1	1.000	Equalized 7L 13s
						108\127	1020.472	179.528	7:6	1.167
					91\107		1020.561	179.439	6:5	1.200
						165\194	1020.619	179.381	11:9	1.222
				74\87			1020.690	179.310	5:4	1.250
						205\241	1020.747	179.253	14:11	1.273
					131\154		1020.779	179.221	9:7	1.286
						188\221	1020.814	179.186	13:10	1.300
			57\67				1020.896	179.104	4:3	1.333	Supersoft 7L 13s
						211\248	1020.968	179.032	15:11	1.364
					154\181		1020.994	179.006	11:8	1.375
						251\295	1021.017	178.983	18:13	1.385
				97\114			1021.053	178.947	7:5	1.400
						234\275	1021.091	178.909	17:12	1.417
					137\161		1021.118	178.882	10:7	1.429
						177\208	1021.154	178.846	13:9	1.444
		40\47					1021.277	178.723	3:2	1.500	Soft 7L 13s
						183\215	1021.395	178.605	14:9	1.556
					143\168		1021.429	178.571	11:7	1.571
						246\289	1021.453	178.547	19:12	1.583
				103\121			1021.488	178.512	8:5	1.600
						269\316	1021.519	178.481	21:13	1.615
					166\195		1021.538	178.462	13:8	1.625
						229\269	1021.561	178.439	18:11	1.636
			63\74				1021.622	178.378	5:3	1.667	Semisoft 7L 13s
						212\249	1021.687	178.313	17:10	1.700
					149\175		1021.714	178.286	12:7	1.714
						235\276	1021.739	178.261	19:11	1.727
				86\101			1021.782	178.218	7:4	1.750
						195\229	1021.834	178.166	16:9	1.778
					109\128		1021.875	178.125	9:5	1.800
						132\155	1021.935	178.065	11:6	1.833
	23\27						1022.222	177.778	2:1	2.000	Basic 7L 13s Scales with tunings softer than this are proper
						121\142	1022.535	177.465	11:5	2.200
					98\115		1022.609	177.391	9:4	2.250	Wollemia
						173\203	1022.660	177.340	16:7	2.286
				75\88			1022.727	177.273	7:3	2.333	Ponens
						202\237	1022.785	177.215	19:8	2.375
					127\149		1022.819	177.181	12:5	2.400
						179\210	1022.857	177.143	17:7	2.429
			52\61				1022.951	177.049	5:2	2.500	Semihard 7L 13s
						185\217	1023.041	176.959	18:7	2.571
					133\156		1023.077	176.923	13:5	2.600
						214\251	1023.108	176.892	21:8	2.625
				81\95			1023.158	176.842	8:3	2.667	Modus
						191\224	1023.214	176.786	19:7	2.714
					110\129		1023.256	176.744	11:4	2.750
						139\163	1023.313	176.687	14:5	2.800
		29\34					1023.529	176.471	3:1	3.000	Hard 7L 13s
						122\143	1023.776	176.224	13:4	3.250
					93\109		1023.853	176.147	10:3	3.333	Tetracot
						157\184	1023.913	176.087	17:5	3.400
				64\75			1024.000	176.000	7:2	3.500
						163\191	1024.084	175.916	18:5	3.600
					99\116		1024.138	175.862	11:3	3.667	Bunya
						134\157	1024.204	175.796	15:4	3.750
			35\41				1024.390	175.610	4:1	4.000	Superhard 7L 13s Monkey
						111\130	1024.615	175.385	13:3	4.333
					76\89		1024.719	175.281	9:2	4.500	Sesquiquartififths
						117\137	1024.818	175.182	14:3	4.667
				41\48			1025.000	175.000	5:1	5.000
						88\103	1025.243	174.757	11:2	5.500
					47\55		1025.455	174.545	6:1	6.000
						53\62	1025.806	174.194	7:1	7.000	Enipucrop ↓
6\7							1028.571	171.429	1:0	→ ∞	Collapsed 7L 13s

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