7L 5s

↖ 6L 4s	↑ 7L 4s	8L 4s ↗
← 6L 5s	7L 5s	8L 5s →
↙ 6L 6s	↓ 7L 6s	8L 6s ↘

┌╥╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║││ ││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLLsLsLs sLsLsLLsLsLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\12 to 3\7 (500.0 ¢ to 514.3 ¢)
Dark	4\7 to 7\12 (685.7 ¢ to 700.0 ¢)
TAMNAMS information
Related to	5L 2s (diatonic)
With tunings	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	5L 2s
Sister	5L 7s
Daughters	12L 7s, 7L 12s
Neutralized	2L 10s
2-Flought	19L 5s, 7L 17s
Equal tunings
Equalized (L:s = 1:1)	5\12 (500.0 ¢)
Supersoft (L:s = 4:3)	18\43 (502.3 ¢)
Soft (L:s = 3:2)	13\31 (503.2 ¢)
Semisoft (L:s = 5:3)	21\50 (504.0 ¢)
Basic (L:s = 2:1)	8\19 (505.3 ¢)
Semihard (L:s = 5:2)	19\45 (506.7 ¢)
Hard (L:s = 3:1)	11\26 (507.7 ¢)
Superhard (L:s = 4:1)	14\33 (509.1 ¢)
Collapsed (L:s = 1:0)	3\7 (514.3 ¢)

7L 5s, also called m-chromatic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 5 small steps, repeating every octave. 7L 5s is a child scale of 5L 2s, expanding it by 5 tones. Generators that produce this scale range from 500 ¢ to 514.3 ¢, or from 685.7 ¢ to 700 ¢. 7L 5s represents the chromatic scale of meantone, or meantone chromatic scale. Such scales are characterized by having a small step (diatonic semitone) that is larger than the chroma (chromatic semitone), the reverse of 5L 7s.

Meantone is the only notable harmonic entropy minimum.

Modes

Both Eliora and Ganaram have independently proposed mode names based on names of the months. The latter scheme uses mode names from the Gregorian calendar, starting with January assigned to the step pattern LsLsLsLLsLsL, with successive rotations assigned to successive months. The latter scheme is based on month names from the Roman calendar, starting with Mensis Martius as the brightest mode, with successive month names for each mode by descending brightness.

Modes of 7L 5s

UDP	Cyclic order	Step pattern
11|0	1	LLsLsLLsLsLs
10|1	6	LLsLsLsLLsLs
9|2	11	LsLLsLsLLsLs
8|3	4	LsLLsLsLsLLs
7|4	9	LsLsLLsLsLLs
6|5	2	LsLsLLsLsLsL
5|6	7	LsLsLsLLsLsL
4|7	12	sLLsLsLLsLsL
3|8	5	sLLsLsLsLLsL
2|9	10	sLsLLsLsLLsL
1|10	3	sLsLLsLsLsLL
0|11	8	sLsLsLLsLsLL

Modes of 7L 5s

UDP	Cyclic order	Step pattern
11|0	1	LLsLsLLsLsLs
10|1	6	LLsLsLsLLsLs
9|2	11	LsLLsLsLLsLs
8|3	4	LsLLsLsLsLLs
7|4	9	LsLsLLsLsLLs
6|5	2	LsLsLLsLsLsL
5|6	7	LsLsLsLLsLsL
4|7	12	sLLsLsLLsLsL
3|8	5	sLLsLsLsLLsL
2|9	10	sLsLLsLsLLsL
1|10	3	sLsLLsLsLsLL
0|11	8	sLsLsLLsLsLL

Scales

• Meaneb471a – an equal beating tuning of meantone
• Meantone12 – 31edo tuning
• Ratwolf – 20/13 wolf fifth tuning of meantone
• Meaneb471 – the other equal beating tuning of meantone
• Flattone12 – 13-limit POTE tuning of flattone