12L 5s

↖ 11L 4s ↑ 12L 4s 13L 4s ↗

← 11L 5s 12L 5s 13L 5s →

↙ 11L 6s ↓ 12L 6s 13L 6s ↘
	Scale structure
Step pattern	LLLsLLsLLLsLLsLLs; sLLsLLsLLLsLLsLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	7\17 to 5\12 (494.1 ¢ to 500.0 ¢)
Dark	7\12 to 10\17 (700.0 ¢ to 705.9 ¢)
	TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	2:1 to 3:1 (hypohard)
	Related MOS scales
Parent	5L 7s
Sister	5L 12s
Daughters	17L 12s, 12L 17s
Neutralized	7L 10s
2-Flought	29L 5s, 12L 22s
	Equal tunings
Equalized (L:s = 1:1)	7\17 (494.1 ¢)
Supersoft (L:s = 4:3)	26\63 (495.2 ¢)
Soft (L:s = 3:2)	19\46 (495.7 ¢)
Semisoft (L:s = 5:3)	31\75 (496.0 ¢)
Basic (L:s = 2:1)	12\29 (496.6 ¢)
Semihard (L:s = 5:2)	29\70 (497.1 ¢)
Hard (L:s = 3:1)	17\41 (497.6 ¢)
Superhard (L:s = 4:1)	22\53 (498.1 ¢)
Collapsed (L:s = 1:0)	5\12 (500.0 ¢)
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Todo: review

Adopt scale tree template, add note that mode names are tuning-specific (they only apply to specific tunings)

12L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 5 small steps, repeating every octave. 12L 5s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 494.1 ¢ to 500 ¢, or from 700 ¢ to 705.9 ¢. Temperaments supported by this scale include those under the Pythagorean and schismic families, characterized by a diesis (the difference between a large step and two small steps) that is smaller than the chroma.

The leapday/leapweek version is proper, but the Pythagorean/schismic version is improper (it does not become proper until you add 12 more notes to form the schismic 29-note scale).

Modes

Mode names are borrowed from the Subaru scale, proposed by Declan Paul Boushy.

Mode	UDP	Mode name
LLLsLLsLLLsLLsLLs	16\|0	Harumi
LLLsLLsLLsLLLsLLs	15\|1	Yuzuha
LLsLLLsLLsLLLsLLs	14\|2	Maho
LLsLLLsLLsLLsLLLs	13\|3	Sakura
LLsLLsLLLsLLsLLLs	12\|4	Hanako
LLsLLsLLLsLLsLLsL	11\|5	Saori
LLsLLsLLsLLLsLLsL	10\|6	Machiko
LsLLLsLLsLLLsLLsL	9\|7	Sae
LsLLLsLLsLLsLLLsL	8\|8	Kaguya
LsLLsLLLsLLsLLLsL	7\|9	Nae
LsLLsLLLsLLsLLsLL	6\|10	Sachiko
LsLLsLLsLLLsLLsLL	5\|11	Kaori
sLLLsLLsLLLsLLsLL	4\|12	Kanako
sLLLsLLsLLsLLLsLL	3\|13	Sakurajima
sLLsLLLsLLsLLLsLL	2\|14	Kaho
sLLsLLLsLLsLLsLLL	1\|15	Suzuha
sLLsLLsLLLsLLsLLL	0\|16	Narumi

Scales

Edson17 – 29edo tuning
Subaru scale – 41edo tuning
Cotoneum17 – 217edo tuning
Garibaldi17 – 94edo tuning
Pythagorean17 – Pythagorean tuning
Tanegashima scale – 53edo tuning
Nestoria17 – 171edo tuning

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:

{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}

The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 12L 5s
Generator^(edo)						Cents		Step ratio		Comments
Generator^(edo)						Bright	Dark	L:s	Hardness	Comments
7\17						494.118	705.882	1:1	1.000	Equalized 12L 5s
					40\97	494.845	705.155	6:5	1.200
				33\80		495.000	705.000	5:4	1.250
					59\143	495.105	704.895	9:7	1.286
			26\63			495.238	704.762	4:3	1.333	Supersoft 12L 5s
					71\172	495.349	704.651	11:8	1.375
				45\109		495.413	704.587	7:5	1.400
					64\155	495.484	704.516	10:7	1.429
		19\46				495.652	704.348	3:2	1.500	Soft 12L 5s
					69\167	495.808	704.192	11:7	1.571
				50\121		495.868	704.132	8:5	1.600
					81\196	495.918	704.082	13:8	1.625
			31\75			496.000	704.000	5:3	1.667	Semisoft 12L 5s
					74\179	496.089	703.911	12:7	1.714
				43\104		496.154	703.846	7:4	1.750
					55\133	496.241	703.759	9:5	1.800
	12\29					496.552	703.448	2:1	2.000	Basic 12L 5s Scales with tunings softer than this are proper
					53\128	496.875	703.125	9:4	2.250
				41\99		496.970	703.030	7:3	2.333
					70\169	497.041	702.959	12:5	2.400
			29\70			497.143	702.857	5:2	2.500	Semihard 12L 5s
					75\181	497.238	702.762	13:5	2.600
				46\111		497.297	702.703	8:3	2.667
					63\152	497.368	702.632	11:4	2.750
		17\41				497.561	702.439	3:1	3.000	Hard 12L 5s
					56\135	497.778	702.222	10:3	3.333
				39\94		497.872	702.128	7:2	3.500
					61\147	497.959	702.041	11:3	3.667
			22\53			498.113	701.887	4:1	4.000	Superhard 12L 5s
					49\118	498.305	701.695	9:2	4.500
				27\65		498.462	701.538	5:1	5.000
					32\77	498.701	701.299	6:1	6.000
5\12						500.000	700.000	1:0	→ ∞	Collapsed 12L 5s

12L 5s

Modes

Scales

Scale tree

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