13L 14s

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

┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│║│║│║│║│║│║│║│║│││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLsLsLsLsLsLsLsLsLsLss ssLsLsLsLsLsLsLsLsLsLsLsLsL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	2\27 to 1\13 (88.9¢ to 92.3¢)
Dark	12\13 to 25\27 (1107.7¢ to 1111.1¢)
TAMNAMS information
Descends from	1L 9s (antisinatonic)
Required step ratio range	4:1 to 9:2
Related MOS scales
Parent	13L 1s
Sister	14L 13s
Daughters	27L 13s 13L 27s
Neutralized	26L 1s
Equal tunings
Equalized (L:s = 1:1)	2\27 (88.9¢)
Supersoft (L:s = 4:3)	7\94 (89.4¢)
Soft (L:s = 3:2)	5\67 (89.6¢)
Semisoft (L:s = 5:3)	8\107 (89.7¢)
Basic (L:s = 2:1)	3\40 (90.0¢)
Semihard (L:s = 5:2)	7\93 (90.3¢)
Hard (L:s = 3:1)	4\53 (90.6¢)
Superhard (L:s = 4:1)	5\66 (90.9¢)
Collapsed (L:s = 1:0)	1\13 (92.3¢)

13L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 14 small steps, repeating every octave. 13L 14s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 88.9¢ to 92.3¢, or from 1107.7¢ to 1111.1¢.

Modes

Modes of 13L 14s

UDP	Rotational order	Step pattern
26|0	1	LsLsLsLsLsLsLsLsLsLsLsLsLss
25|1	3	LsLsLsLsLsLsLsLsLsLsLsLssLs
24|2	5	LsLsLsLsLsLsLsLsLsLsLssLsLs
23|3	7	LsLsLsLsLsLsLsLsLsLssLsLsLs
22|4	9	LsLsLsLsLsLsLsLsLssLsLsLsLs
21|5	11	LsLsLsLsLsLsLsLssLsLsLsLsLs
20|6	13	LsLsLsLsLsLsLssLsLsLsLsLsLs
19|7	15	LsLsLsLsLsLssLsLsLsLsLsLsLs
18|8	17	LsLsLsLsLssLsLsLsLsLsLsLsLs
17|9	19	LsLsLsLssLsLsLsLsLsLsLsLsLs
16|10	21	LsLsLssLsLsLsLsLsLsLsLsLsLs
15|11	23	LsLssLsLsLsLsLsLsLsLsLsLsLs
14|12	25	LssLsLsLsLsLsLsLsLsLsLsLsLs
13|13	27	sLsLsLsLsLsLsLsLsLsLsLsLsLs
12|14	2	sLsLsLsLsLsLsLsLsLsLsLsLssL
11|15	4	sLsLsLsLsLsLsLsLsLsLsLssLsL
10|16	6	sLsLsLsLsLsLsLsLsLsLssLsLsL
9|17	8	sLsLsLsLsLsLsLsLsLssLsLsLsL
8|18	10	sLsLsLsLsLsLsLsLssLsLsLsLsL
7|19	12	sLsLsLsLsLsLsLssLsLsLsLsLsL
6|20	14	sLsLsLsLsLsLssLsLsLsLsLsLsL
5|21	16	sLsLsLsLsLssLsLsLsLsLsLsLsL
4|22	18	sLsLsLsLssLsLsLsLsLsLsLsLsL
3|23	20	sLsLsLssLsLsLsLsLsLsLsLsLsL
2|24	22	sLsLssLsLsLsLsLsLsLsLsLsLsL
1|25	24	sLssLsLsLsLsLsLsLsLsLsLsLsL
0|26	26	ssLsLsLsLsLsLsLsLsLsLsLsLsL

Scale tree

Scale Tree and Tuning Spectrum of 13L 14s

Generator(edo)						Cents		Step Ratio		Comments
						Bright	Dark	L:s	Hardness
2\27						88.889	1111.111	1:1	1.000	Equalized 13L 14s
					11\148	89.189	1110.811	6:5	1.200
				9\121		89.256	1110.744	5:4	1.250
					16\215	89.302	1110.698	9:7	1.286
			7\94			89.362	1110.638	4:3	1.333	Supersoft 13L 14s
					19\255	89.412	1110.588	11:8	1.375
				12\161		89.441	1110.559	7:5	1.400
					17\228	89.474	1110.526	10:7	1.429
		5\67				89.552	1110.448	3:2	1.500	Soft 13L 14s
					18\241	89.627	1110.373	11:7	1.571
				13\174		89.655	1110.345	8:5	1.600
					21\281	89.680	1110.320	13:8	1.625
			8\107			89.720	1110.280	5:3	1.667	Semisoft 13L 14s
					19\254	89.764	1110.236	12:7	1.714
				11\147		89.796	1110.204	7:4	1.750
					14\187	89.840	1110.160	9:5	1.800
	3\40					90.000	1110.000	2:1	2.000	Basic 13L 14s Scales with tunings softer than this are proper
					13\173	90.173	1109.827	9:4	2.250
				10\133		90.226	1109.774	7:3	2.333
					17\226	90.265	1109.735	12:5	2.400
			7\93			90.323	1109.677	5:2	2.500	Semihard 13L 14s
					18\239	90.377	1109.623	13:5	2.600
				11\146		90.411	1109.589	8:3	2.667
					15\199	90.452	1109.548	11:4	2.750
		4\53				90.566	1109.434	3:1	3.000	Hard 13L 14s
					13\172	90.698	1109.302	10:3	3.333
				9\119		90.756	1109.244	7:2	3.500
					14\185	90.811	1109.189	11:3	3.667
			5\66			90.909	1109.091	4:1	4.000	Superhard 13L 14s
					11\145	91.034	1108.966	9:2	4.500
				6\79		91.139	1108.861	5:1	5.000
					7\92	91.304	1108.696	6:1	6.000
1\13						92.308	1107.692	1:0	→ ∞	Collapsed 13L 14s

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