2L 15s

↖ 1L 14s	↑ 2L 14s	3L 14s ↗
← 1L 15s	2L 15s	3L 15s →
↙ 1L 16s	↓ 2L 16s	3L 16s ↘

Scale structure
Step pattern	LsssssssLssssssss ssssssssLsssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	8\17 to 1\2 (564.7 ¢ to 600.0 ¢)
Dark	1\2 to 9\17 (600.0 ¢ to 635.3 ¢)
TAMNAMS information
Related to	2L 7s (balzano)
With tunings	5:1 to 1:0
Related MOS scales
Parent	2L 13s
Sister	15L 2s
Daughters	17L 2s, 2L 17s
Neutralized	4L 13s
2-Flought	19L 15s, 2L 32s
Equal tunings
Equalized (L:s = 1:1)	8\17 (564.7 ¢)
Supersoft (L:s = 4:3)	25\53 (566.0 ¢)
Soft (L:s = 3:2)	17\36 (566.7 ¢)
Semisoft (L:s = 5:3)	26\55 (567.3 ¢)
Basic (L:s = 2:1)	9\19 (568.4 ¢)
Semihard (L:s = 5:2)	19\40 (570.0 ¢)
Hard (L:s = 3:1)	10\21 (571.4 ¢)
Superhard (L:s = 4:1)	11\23 (573.9 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)
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2L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 15 small steps, repeating every octave. 2L 15s is related to 2L 7s, expanding it by 8 tones. Generators that produce this scale range from 564.7 ¢ to 600 ¢, or from 600 ¢ to 635.3 ¢.

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 2L 15s

Generator(edo)								Cents		Step ratio		Comments
								Bright	Dark	L:s	Hardness
8\17								564.706	635.294	1:1	1.000	Equalized 2L 15s
							57\121	565.289	634.711	8:7	1.143
						49\104		565.385	634.615	7:6	1.167
							90\191	565.445	634.555	13:11	1.182
					41\87			565.517	634.483	6:5	1.200
							115\244	565.574	634.426	17:14	1.214
						74\157		565.605	634.395	11:9	1.222
							107\227	565.639	634.361	16:13	1.231
				33\70				565.714	634.286	5:4	1.250
							124\263	565.779	634.221	19:15	1.267
						91\193		565.803	634.197	14:11	1.273
							149\316	565.823	634.177	23:18	1.278
					58\123			565.854	634.146	9:7	1.286
							141\299	565.886	634.114	22:17	1.294
						83\176		565.909	634.091	13:10	1.300	Alphatricot/Alphatrident
							108\229	565.939	634.061	17:13	1.308
			25\53					566.038	633.962	4:3	1.333	Supersoft 2L 15s Alphatricot
							117\248	566.129	633.871	19:14	1.357
						92\195		566.154	633.846	15:11	1.364
							159\337	566.172	633.828	26:19	1.368
					67\142			566.197	633.803	11:8	1.375
							176\373	566.220	633.780	29:21	1.381
						109\231		566.234	633.766	18:13	1.385
							151\320	566.250	633.750	25:18	1.389
				42\89				566.292	633.708	7:5	1.400
							143\303	566.337	633.663	24:17	1.412
						101\214		566.355	633.645	17:12	1.417
							160\339	566.372	633.628	27:19	1.421
					59\125			566.400	633.600	10:7	1.429
							135\286	566.434	633.566	23:16	1.438
						76\161		566.460	633.540	13:9	1.444
							93\197	566.497	633.503	16:11	1.455
		17\36						566.667	633.333	3:2	1.500	Soft 2L 15s
							94\199	566.834	633.166	17:11	1.545
						77\163		566.871	633.129	14:9	1.556
							137\290	566.897	633.103	25:16	1.562
					60\127			566.929	633.071	11:7	1.571
							163\345	566.957	633.043	30:19	1.579
						103\218		566.972	633.028	19:12	1.583
							146\309	566.990	633.010	27:17	1.588
				43\91				567.033	632.967	8:5	1.600	Liesel
							155\328	567.073	632.927	29:18	1.611
						112\237		567.089	632.911	21:13	1.615
							181\383	567.102	632.898	34:21	1.619
					69\146			567.123	632.877	13:8	1.625
							164\347	567.147	632.853	31:19	1.632
						95\201		567.164	632.836	18:11	1.636
							121\256	567.188	632.812	23:14	1.643
			26\55					567.273	632.727	5:3	1.667	Semisoft 2L 15s
							113\239	567.364	632.636	22:13	1.692
						87\184		567.391	632.609	17:10	1.700
							148\313	567.412	632.588	29:17	1.706
					61\129			567.442	632.558	12:7	1.714
							157\332	567.470	632.530	31:18	1.722
						96\203		567.488	632.512	19:11	1.727
							131\277	567.509	632.491	26:15	1.733
				35\74				567.568	632.432	7:4	1.750
							114\241	567.635	632.365	23:13	1.769
						79\167		567.665	632.335	16:9	1.778
							123\260	567.692	632.308	25:14	1.786
					44\93			567.742	632.258	9:5	1.800	Pycnic
							97\205	567.805	632.195	20:11	1.818
						53\112		567.857	632.143	11:6	1.833
							62\131	567.939	632.061	13:7	1.857
	9\19							568.421	631.579	2:1	2.000	Basic 2L 15s Scales with tunings softer than this are proper
							55\116	568.966	631.034	13:6	2.167	Lisa
						46\97		569.072	630.928	11:5	2.200
							83\175	569.143	630.857	20:9	2.222
					37\78			569.231	630.769	9:4	2.250
							102\215	569.302	630.698	25:11	2.273
						65\137		569.343	630.657	16:7	2.286
							93\196	569.388	630.612	23:10	2.300
				28\59				569.492	630.508	7:3	2.333
							103\217	569.585	630.415	26:11	2.364
						75\158		569.620	630.380	19:8	2.375
							122\257	569.650	630.350	31:13	2.385
					47\99			569.697	630.303	12:5	2.400
							113\238	569.748	630.252	29:12	2.417
						66\139		569.784	630.216	17:7	2.429
							85\179	569.832	630.168	22:9	2.444
			19\40					570.000	630.000	5:2	2.500	Semihard 2L 15s
							86\181	570.166	629.834	23:9	2.556
						67\141		570.213	629.787	18:7	2.571
							115\242	570.248	629.752	31:12	2.583
					48\101			570.297	629.703	13:5	2.600
							125\263	570.342	629.658	34:13	2.615
						77\162		570.370	629.630	21:8	2.625
							106\223	570.404	629.596	29:11	2.636
				29\61				570.492	629.508	8:3	2.667
							97\204	570.588	629.412	27:10	2.700
						68\143		570.629	629.371	19:7	2.714
							107\225	570.667	629.333	30:11	2.727
					39\82			570.732	629.268	11:4	2.750
							88\185	570.811	629.189	25:9	2.778
						49\103		570.874	629.126	14:5	2.800
							59\124	570.968	629.032	17:6	2.833
		10\21						571.429	628.571	3:1	3.000	Hard 2L 15s
							51\107	571.963	628.037	16:5	3.200
						41\86		572.093	627.907	13:4	3.250
							72\151	572.185	627.815	23:7	3.286
					31\65			572.308	627.692	10:3	3.333
							83\174	572.414	627.586	27:8	3.375
						52\109		572.477	627.523	17:5	3.400
							73\153	572.549	627.451	24:7	3.429
				21\44				572.727	627.273	7:2	3.500
							74\155	572.903	627.097	25:7	3.571
						53\111		572.973	627.027	18:5	3.600
							85\178	573.034	626.966	29:8	3.625
					32\67			573.134	626.866	11:3	3.667
							75\157	573.248	626.752	26:7	3.714
						43\90		573.333	626.667	15:4	3.750
							54\113	573.451	626.549	19:5	3.800
			11\23					573.913	626.087	4:1	4.000	Superhard 2L 15s
							45\94	574.468	625.532	17:4	4.250
						34\71		574.648	625.352	13:3	4.333
							57\119	574.790	625.210	22:5	4.400
					23\48			575.000	625.000	9:2	4.500
							58\121	575.207	624.793	23:5	4.600
						35\73		575.342	624.658	14:3	4.667
							47\98	575.510	624.490	19:4	4.750
				12\25				576.000	624.000	5:1	5.000
							37\77	576.623	623.377	16:3	5.333
						25\52		576.923	623.077	11:2	5.500
							38\79	577.215	622.785	17:3	5.667
					13\27			577.778	622.222	6:1	6.000	Fervor, Tritonic ↓
							27\56	578.571	621.429	13:2	6.500
						14\29		579.310	620.690	7:1	7.000
							15\31	580.645	619.355	8:1	8.000
1\2								600.000	600.000	1:0	→ ∞	Collapsed 2L 15s

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