14L 1s

The 14L 1s MOS scale is notable for corresponding to 15-note scales of temperaments like nautilus and sextilififths.

← 13L 1s	14L 1s	15L 1s →
↙ 13L 2s	↓ 14L 2s	15L 2s ↘

Scale structure
Step pattern	LLLLLLLLLLLLLLs sLLLLLLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\15 to 1\14 (80.0 ¢ to 85.7 ¢)
Dark	13\14 to 14\15 (1114.3 ¢ to 1120.0 ¢)
TAMNAMS information
Related to	1L 9s (antisinatonic)
With tunings	5:1 to 6:1
Related MOS scales
Parent	1L 13s
Sister	1L 14s
Daughters	15L 14s, 14L 15s
Neutralized	13L 2s
2-Flought	29L 1s, 14L 16s
Equal tunings
Equalized (L:s = 1:1)	1\15 (80.0 ¢)
Supersoft (L:s = 4:3)	4\59 (81.4 ¢)
Soft (L:s = 3:2)	3\44 (81.8 ¢)
Semisoft (L:s = 5:3)	5\73 (82.2 ¢)
Basic (L:s = 2:1)	2\29 (82.8 ¢)
Semihard (L:s = 5:2)	5\72 (83.3 ¢)
Hard (L:s = 3:1)	3\43 (83.7 ¢)
Superhard (L:s = 4:1)	4\57 (84.2 ¢)
Collapsed (L:s = 1:0)	1\14 (85.7 ¢)
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6 steps of the scale cover a diatonic fourth, and they also go from the lower bound to upper bound of diatonic fourths (3\7 to 2\5) over the course of the entire step ratio spectrum, corresponding to going from 14edo perfect fourth to 15edo pefect fourth.

Scale tree

generator								L	s	L/s	gen (cents)	comment
1\14								1	0		85.714
							8\113	8	1	8.000	84.956
						7\99		7	1	7.000	84.848
					6\85			6	1	6.000	84.706
				5\71				5	1	5.000	84.507
			4\57					4	1	4.000	84.211
		3\43						3	1	3.000	83.721
			5\72					5	2	2.500	83.333
	2\29							2	1	2.000	82.759
			5\73					5	3	1.667	82.192
		3\44						3	2	1.500	81.818	Nautilus is around here
			4\59					4	3	1.333	81.356
				5\74				5	4	1.250	81.081
					6\89			6	5	1.200	80.899
						7\104		7	6	1.167	80.769
							8\119	8	7	1.143	80.672
1\15								1	1	1.000	80.000