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
Descends from	3L 5s (checkertonic)
Ancestor's step ratio range	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¢)

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¢.

Intervals

Intervals of 17L 14s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0¢ to 38.7¢
	Major 1-mosstep	M1ms	L	38.7¢ to 70.6¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	70.6¢ to 77.4¢
	Major 2-mosstep	M2ms	2L	77.4¢ to 141.2¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	70.6¢ to 116.1¢
	Major 3-mosstep	M3ms	2L + s	116.1¢ to 141.2¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	141.2¢ to 154.8¢
	Major 4-mosstep	M4ms	3L + s	154.8¢ to 211.8¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	141.2¢ to 193.5¢
	Major 5-mosstep	M5ms	3L + 2s	193.5¢ to 211.8¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	211.8¢ to 232.3¢
	Major 6-mosstep	M6ms	4L + 2s	232.3¢ to 282.4¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	211.8¢ to 271.0¢
	Major 7-mosstep	M7ms	4L + 3s	271.0¢ to 282.4¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	282.4¢ to 309.7¢
	Major 8-mosstep	M8ms	5L + 3s	309.7¢ to 352.9¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	282.4¢ to 348.4¢
	Major 9-mosstep	M9ms	5L + 4s	348.4¢ to 352.9¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	352.9¢ to 387.1¢
	Major 10-mosstep	M10ms	6L + 4s	387.1¢ to 423.5¢
11-mosstep	Perfect 11-mosstep	P11ms	6L + 5s	423.5¢ to 425.8¢
	Augmented 11-mosstep	A11ms	7L + 4s	425.8¢ to 494.1¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	423.5¢ to 464.5¢
	Major 12-mosstep	M12ms	7L + 5s	464.5¢ to 494.1¢
13-mosstep	Minor 13-mosstep	m13ms	7L + 6s	494.1¢ to 503.2¢
	Major 13-mosstep	M13ms	8L + 5s	503.2¢ to 564.7¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	494.1¢ to 541.9¢
	Major 14-mosstep	M14ms	8L + 6s	541.9¢ to 564.7¢
15-mosstep	Minor 15-mosstep	m15ms	8L + 7s	564.7¢ to 580.6¢
	Major 15-mosstep	M15ms	9L + 6s	580.6¢ to 635.3¢
16-mosstep	Minor 16-mosstep	m16ms	8L + 8s	564.7¢ to 619.4¢
	Major 16-mosstep	M16ms	9L + 7s	619.4¢ to 635.3¢
17-mosstep	Minor 17-mosstep	m17ms	9L + 8s	635.3¢ to 658.1¢
	Major 17-mosstep	M17ms	10L + 7s	658.1¢ to 705.9¢
18-mosstep	Minor 18-mosstep	m18ms	9L + 9s	635.3¢ to 696.8¢
	Major 18-mosstep	M18ms	10L + 8s	696.8¢ to 705.9¢
19-mosstep	Minor 19-mosstep	m19ms	10L + 9s	705.9¢ to 735.5¢
	Major 19-mosstep	M19ms	11L + 8s	735.5¢ to 776.5¢
20-mosstep	Diminished 20-mosstep	d20ms	10L + 10s	705.9¢ to 774.2¢
	Perfect 20-mosstep	P20ms	11L + 9s	774.2¢ to 776.5¢
21-mosstep	Minor 21-mosstep	m21ms	11L + 10s	776.5¢ to 812.9¢
	Major 21-mosstep	M21ms	12L + 9s	812.9¢ to 847.1¢
22-mosstep	Minor 22-mosstep	m22ms	12L + 10s	847.1¢ to 851.6¢
	Major 22-mosstep	M22ms	13L + 9s	851.6¢ to 917.6¢
23-mosstep	Minor 23-mosstep	m23ms	12L + 11s	847.1¢ to 890.3¢
	Major 23-mosstep	M23ms	13L + 10s	890.3¢ to 917.6¢
24-mosstep	Minor 24-mosstep	m24ms	13L + 11s	917.6¢ to 929.0¢
	Major 24-mosstep	M24ms	14L + 10s	929.0¢ to 988.2¢
25-mosstep	Minor 25-mosstep	m25ms	13L + 12s	917.6¢ to 967.7¢
	Major 25-mosstep	M25ms	14L + 11s	967.7¢ to 988.2¢
26-mosstep	Minor 26-mosstep	m26ms	14L + 12s	988.2¢ to 1006.5¢
	Major 26-mosstep	M26ms	15L + 11s	1006.5¢ to 1058.8¢
27-mosstep	Minor 27-mosstep	m27ms	14L + 13s	988.2¢ to 1045.2¢
	Major 27-mosstep	M27ms	15L + 12s	1045.2¢ to 1058.8¢
28-mosstep	Minor 28-mosstep	m28ms	15L + 13s	1058.8¢ to 1083.9¢
	Major 28-mosstep	M28ms	16L + 12s	1083.9¢ to 1129.4¢
29-mosstep	Minor 29-mosstep	m29ms	15L + 14s	1058.8¢ to 1122.6¢
	Major 29-mosstep	M29ms	16L + 13s	1122.6¢ to 1129.4¢
30-mosstep	Minor 30-mosstep	m30ms	16L + 14s	1129.4¢ to 1161.3¢
	Major 30-mosstep	M30ms	17L + 13s	1161.3¢ to 1200.0¢
31-mosstep	Perfect 31-mosstep	P31ms	17L + 14s	1200.0¢

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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