17L 14s

↖ 16L 13s	↑ 17L 13s	18L 13s ↗
← 16L 14s	17L 14s	18L 14s →
↙ 16L 15s	↓ 17L 15s	18L 15s ↘

Scale structure
Step pattern	LLsLsLsLsLLsLsLsLsLsLLsLsLsLsLs sLsLsLsLsLLsLsLsLsLsLLsLsLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	20\31 to 11\17 (774.2 ¢ to 776.5 ¢)
Dark	6\17 to 11\31 (423.5 ¢ to 425.8 ¢)
TAMNAMS information
Related to	3L 5s (checkertonic)
With tunings	7:2 to 4:1
Related MOS scales
Parent	14L 3s
Sister	14L 17s
Daughters	31L 17s, 17L 31s
Neutralized	3L 28s
2-Flought	48L 14s, 17L 45s
Equal tunings
Equalized (L:s = 1:1)	20\31 (774.2 ¢)
Supersoft (L:s = 4:3)	71\110 (774.5 ¢)
Soft (L:s = 3:2)	51\79 (774.7 ¢)
Semisoft (L:s = 5:3)	82\127 (774.8 ¢)
Basic (L:s = 2:1)	31\48 (775.0 ¢)
Semihard (L:s = 5:2)	73\113 (775.2 ¢)
Hard (L:s = 3:1)	42\65 (775.4 ¢)
Superhard (L:s = 4:1)	53\82 (775.6 ¢)
Collapsed (L:s = 1:0)	11\17 (776.5 ¢)
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17L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 14 small steps, repeating every octave. 17L 14s is related to 3L 5s, expanding it by 23 tones. Generators that produce this scale range from 774.2 ¢ to 776.5 ¢, or from 423.5 ¢ to 425.8 ¢.

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.

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

Scale tree

Scale tree and tuning spectrum of 17L 14s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
20\31						774.194	425.806	1:1	1.000	Equalized 17L 14s
					111\172	774.419	425.581	6:5	1.200
				91\141		774.468	425.532	5:4	1.250
					162\251	774.502	425.498	9:7	1.286
			71\110			774.545	425.455	4:3	1.333	Supersoft 17L 14s
					193\299	774.582	425.418	11:8	1.375
				122\189		774.603	425.397	7:5	1.400
					173\268	774.627	425.373	10:7	1.429
		51\79				774.684	425.316	3:2	1.500	Soft 17L 14s
					184\285	774.737	425.263	11:7	1.571
				133\206		774.757	425.243	8:5	1.600
					215\333	774.775	425.225	13:8	1.625
			82\127			774.803	425.197	5:3	1.667	Semisoft 17L 14s
					195\302	774.834	425.166	12:7	1.714
				113\175		774.857	425.143	7:4	1.750
					144\223	774.888	425.112	9:5	1.800
	31\48					775.000	425.000	2:1	2.000	Basic 17L 14s Scales with tunings softer than this are proper
					135\209	775.120	424.880	9:4	2.250
				104\161		775.155	424.845	7:3	2.333
					177\274	775.182	424.818	12:5	2.400
			73\113			775.221	424.779	5:2	2.500	Semihard 17L 14s
					188\291	775.258	424.742	13:5	2.600
				115\178		775.281	424.719	8:3	2.667
					157\243	775.309	424.691	11:4	2.750
		42\65				775.385	424.615	3:1	3.000	Hard 17L 14s
					137\212	775.472	424.528	10:3	3.333
				95\147		775.510	424.490	7:2	3.500
					148\229	775.546	424.454	11:3	3.667
			53\82			775.610	424.390	4:1	4.000	Superhard 17L 14s
					117\181	775.691	424.309	9:2	4.500
				64\99		775.758	424.242	5:1	5.000
					75\116	775.862	424.138	6:1	6.000
11\17						776.471	423.529	1:0	→ ∞	Collapsed 17L 14s

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