11L 2s (3/1-equivalent)

↖ 10L 1s⟨3/1⟩	↑ 11L 1s⟨3/1⟩	12L 1s⟨3/1⟩ ↗
← 10L 2s⟨3/1⟩	11L 2s (3/1-equivalent)	12L 2s⟨3/1⟩ →
↙ 10L 3s⟨3/1⟩	↓ 11L 3s⟨3/1⟩	12L 3s⟨3/1⟩ ↘

┌╥╥╥╥╥╥┬╥╥╥╥╥┬┐ │║║║║║║│║║║║║││ │││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLsLLLLLs sLLLLLsLLLLLL
Equave	3/1 (1902.0¢)
Period	3/1 (1902.0¢)
Generator size(edt)
Bright	7\13 to 6\11 (1024.1¢ to 1037.4¢)
Dark	5\11 to 6\13 (864.5¢ to 877.8¢)
Related MOS scales
Parent	2L 9s⟨3/1⟩
Sister	2L 11s⟨3/1⟩
Daughters	13L 11s⟨3/1⟩, 11L 13s⟨3/1⟩
Neutralized	9L 4s⟨3/1⟩
2-Flought	24L 2s⟨3/1⟩, 11L 15s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1)	7\13 (1024.1¢)
Supersoft (L:s = 4:3)	27\50 (1027.1¢)
Soft (L:s = 3:2)	20\37 (1028.1¢)
Semisoft (L:s = 5:3)	33\61 (1028.9¢)
Basic (L:s = 2:1)	13\24 (1030.2¢)
Semihard (L:s = 5:2)	32\59 (1031.6¢)
Hard (L:s = 3:1)	19\35 (1032.5¢)
Superhard (L:s = 4:1)	25\46 (1033.7¢)
Collapsed (L:s = 1:0)	6\11 (1037.4¢)

11L 2s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 11 large steps and 2 small steps, repeating every interval of 3/1 (1902.0¢). Generators that produce this scale range from 1024.1¢ to 1037.4¢, or from 864.5¢ to 877.8¢. Having 11 large steps and 2 small steps, this MOS family is the first which is true Arcturus scale. However, it still has slightly smeary intonation regarding the generator (or major sixth), This smearing causes 3g to be so flat that it tritave reduces into the syntonic continuum of fifths, thus making these scales ridden with pseudo-octaves and pseudo-fifths.

Modes

Modes of 11L 2s⟨3/1⟩

UDP	Cyclic order	Step pattern
12|0	1	LLLLLLsLLLLLs
11|1	8	LLLLLsLLLLLLs
10|2	2	LLLLLsLLLLLsL
9|3	9	LLLLsLLLLLLsL
8|4	3	LLLLsLLLLLsLL
7|5	10	LLLsLLLLLLsLL
6|6	4	LLLsLLLLLsLLL
5|7	11	LLsLLLLLLsLLL
4|8	5	LLsLLLLLsLLLL
3|9	12	LsLLLLLLsLLLL
2|10	6	LsLLLLLsLLLLL
1|11	13	sLLLLLLsLLLLL
0|12	7	sLLLLLsLLLLLL

Intervals

Intervals of 11L 2s⟨3/1⟩

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 146.3¢
	Major 1-mosstep	M1ms	L	146.3¢ to 172.9¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	172.9¢ to 292.6¢
	Major 2-mosstep	M2ms	2L	292.6¢ to 345.8¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	345.8¢ to 438.9¢
	Major 3-mosstep	M3ms	3L	438.9¢ to 518.7¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	518.7¢ to 585.2¢
	Major 4-mosstep	M4ms	4L	585.2¢ to 691.6¢
5-mosstep	Minor 5-mosstep	m5ms	4L + s	691.6¢ to 731.5¢
	Major 5-mosstep	M5ms	5L	731.5¢ to 864.5¢
6-mosstep	Perfect 6-mosstep	P6ms	5L + s	864.5¢ to 877.8¢
	Augmented 6-mosstep	A6ms	6L	877.8¢ to 1037.4¢
7-mosstep	Diminished 7-mosstep	d7ms	5L + 2s	864.5¢ to 1024.1¢
	Perfect 7-mosstep	P7ms	6L + s	1024.1¢ to 1037.4¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	1037.4¢ to 1170.4¢
	Major 8-mosstep	M8ms	7L + s	1170.4¢ to 1210.3¢
9-mosstep	Minor 9-mosstep	m9ms	7L + 2s	1210.3¢ to 1316.7¢
	Major 9-mosstep	M9ms	8L + s	1316.7¢ to 1383.2¢
10-mosstep	Minor 10-mosstep	m10ms	8L + 2s	1383.2¢ to 1463.0¢
	Major 10-mosstep	M10ms	9L + s	1463.0¢ to 1556.1¢
11-mosstep	Minor 11-mosstep	m11ms	9L + 2s	1556.1¢ to 1609.3¢
	Major 11-mosstep	M11ms	10L + s	1609.3¢ to 1729.1¢
12-mosstep	Minor 12-mosstep	m12ms	10L + 2s	1729.1¢ to 1755.7¢
	Major 12-mosstep	M12ms	11L + s	1755.7¢ to 1902.0¢
13-mosstep	Perfect 13-mosstep	P13ms	11L + 2s	1902.0¢

Scale tree

Generator							cents	L	s	3g	Notes
5\11							864.525 590.909	172.905 118.182	0.00	691.62 472.727	L=1 s=0
						36\79	866.714 592.405	168.528 115.19	24.075 16.456	698.186 477.215	L=7 s=1
					31\68		867.068 592.647	167.82 114.706	27.969 19.118	699.248 477.941	L=6 s=1
						57\125	867.2915 592.8	167.372 114.4	30.431 20.8	699.919 478.4
				26\57			867.558 592.9825	166.838 114.035	33.368 22.807	700.72 478.947	L=5 s=1
						73\160	867.767 593.125	166.421 113.75	35.662 24.375	701.346 479.375
					47\103		867.882 593.204	166.19 113.592	36.931 25.243	701.692 479.612
						68\149	868.006 593.289	165.942 113.423	38.294 26.1745	702.064 479.866
			21\46				868.284 593.478	165.387 113.0435.	41.347 28.261	702.896 480.445	L=4 s=1
						79\173	868.523 593.642	164.909 112.717	43.976 30.058	703.613 480.925
					58\127		868.609 593.701	164.736 112.598	44.928 30.709	703.873 481.102
						95\208	868.681 593.75	164.592 112.5	45.72 31.25	704.089 481.25
				37\81			868.794 593.827	164.3665 112.346	46.962 32.099	704.428 481.4815	L=7 s=2
						90\197	868.9135 593.909	164.128 112.183	48.273 32.995	704.785 481.726
					53\116		868.997 593.9655	163.961 112.069	49.1885 33.621	705.035 481.897
						69\151	869.105 594.04	163.744 111.9205	50.383 34.437	705.36 482.119
		16\35					869.465 594.286	163.025 111.429	54.342 37.143	706.44 482.857	L=3 s=1
						75\164	869.7965 594.512	162.362 110.976	57.986 39.634	707.4345 483.537
					59\129		869.886 594.574	162.182 110.853	58.375 40.31	707.704 483.721
						102\223	869.9525 594.619	162.05 110.762	59.703 40.807	707.9025 483.8565
				43\94			870.043 594.681	161.8685 110.638	60.701 41.489	708.175 484.043
						113\247	870.125 594.737	161.705 110.526	61.601 42.105	708.4205 484.2105
					70\153		870.1755 594.771	161.604 110.4575	62.155 42.484	708.5715 484.314
						97\212	870.234 594.811	161.487 110.377	62.8 42.9245	708.747 484.434
			27\59				870.386 594.915	161.182 110.1695	64.473 44.068	709.204 484.746	L=5 s=2
						92\201	870.547 595.025	160.862 109.95	66.237 45.274	709.685 485.075
					65\142		870.613 595.07	160.729 109.859	66.97 45.775	709.885 485.211
						103\225	870.673 595.111	160.6095 109.778	67.625 46.222	710.063 485.333
				38\83			870.775 595.181	160.406 109.639	68.745 46.988	710.369 485.542	L=7 s=3
						87\190	870.895 595.263	160.165 109.747	70.072 47.895	710.731 485.7895
					49\107		870.989 595.327	159.9775 109.346	71.101 48.598	711.011 485.981
						60\131	871.124 595.42	159.706 109.16	72.593 49.618	711.418 486.2595
	11\24						871.729 595.833	158.496 108.333	79.248 54.167	713.233 487.5	L=2 s=1
						61\133	872.325 596.241	157.3045 107.519	85.8024 58.647	715.021 488.722
					50\109		872.456 596.33	157.042 107.339	87.246 59.633	715.414 488.991
						89\194	872.546 596.392	156.862 107.2165	88.235 60.309	715.684 489.175
				39\85			872.662 596.471	156.632 107.059	89.504 61.1765	716.03 489.412	L=7 s=4
						106\231	872.759 596.537	156.438 106.926	90.569 61.905	716.321 489.61
					67\146		872.815 596.575	156.325 106.849	91.19 62.329	716.49 489.726
						95\207	872.878 596.618	156.199 106.763	91.882 62.802	716.679 489.855
			28\61				873.0285 596.721	155.898 106.557	93.539 63.934	717.131 490.164	L=5 s=3
						101\220	873.17 596.818	155.6145 106.364	95.098 65	717.556 490.4545
					73\159		873.225 596.855	155.506 106.289	95.696 65.408	717.719 490.566
						118\257	873.271 596.887	155.413 106.226	96.208 65.759	717.8585 490.6615	Golden Anti-Arcturus is near here
				45\98			873.347 596.938	155.262 106.122	97.0385 66.3265	718.085 490.816
						107\233	873.43 596.996	155.095 106.009	97.955 66.953	718.335 490.987
					62\135		873.49 597.037	154.974 105.926	98.62 67.407	718.516 491.111
						79\172	873.572 597.093	154.81 105.814	99.521 68.023	718.762 491.279
		17\37					873.871 597.297	154.2125 105.405	102.808 70.27	719.659 491.892	L=3 s=2
						74\161	874.1905 597.5155	153.574 104.696	106.32 72.671	720.6165 492.5465
					57\124		874.286 597.581	153.3835 104.839	107.368 73.387	720.902 492.742
						97\211	874.3585 597.63	153.238 104.739	108.168 73.934	721.12 492.891
				40\87			874.462 597.701	153.03 104.598	109.308 74.713	721.431 493.103	L=7 s=5
						103\224	874.56 597.768	152.836 104.464	110.381 75.446	721.724 493.304
					63\137		874.622 597.81	152.712 104.38	111.063 75.912	721.91 493.431
						86\187	874.696 597.861	152.563 104.278	111.88 76.471	722.133 493.583
			23\50				874.899 598	152.156 104	114.117 78	722.743 494	L=4 s=3
						75\163	875.133 598.1595	151.69 103.681	116.684 79.755	723.443 494.4785
					52\113		875.236 598.23	151.483 103.54	117.82 80.531	723.753 494.69
						81\176	875.332 598.2955	151.292 103.409	118.872 81.25	724.04 494.886
				29\63			875.503 598.413	150.949 103.175	120.759 82.54	724.554 495.238	L=5 s=4
						64\139	875.72 598.561	150.514 102.878	123.148 84.173	725.206 495.6835
					35\76		875.9 598.684	150.124 102.632	125.129 85.526	725.746 496.053	L=6 s=5
						41\89	876.1815 598.876	149.592 102.247	128.222 87.64	726.59 496.629	L=7 s=6
6\13							877.825 600	146.304 100		731.521 500	L=1 s=1