11L 2s

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↖10L 1s↑11L 1s 12L 1s↗
←10L 2s11L 2s12L 2s→
↙10L 3s↓11L 3s 12L 3s↘
Brightest mode LLLLLLsLLLLLs
Period 2/1
Range for bright generator 7\13 (646.2¢) to 6\11 (654.5¢)
Range for dark generator 5\11 (545.5¢) to 6\13 (553.8¢)
Parent MOS 2L 9s
Sister MOS 2L 11s
Daughter MOSes 13L 11s, 11L 13s
Equal tunings
Supersoft (L:s = 4:3) 27\50 (648¢)
Soft (L:s = 3:2) 20\37 (648.6¢)
Semisoft (L:s = 5:3) 33\61 (649.2¢)
Basic (L:s = 2:1) 13\24 (650¢)
Semihard (L:s = 5:2) 32\59 (650.8¢)
Hard (L:s = 3:1) 19\35 (651.4¢)
Superhard (L:s = 4:1) 25\46 (652.2¢)

The 11L 2s MOS scale is most notable for being used by Ivan Wyschnegradsky and having a name "diatonicized chromatic scale". The more concise name for the scale, proposed by Eliora, is hendecoid. Another possible name for this mos in TAMNAMS is p-enhar balzano, being one of four enharmonic scales of 2L 7s.

From a regular temperament theory perspective, is notable for correponding to the mega chromatic scale of Heinz temperament. Its generator of 5\11 to 6\13 hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale - the strong relationship to the number 11 is the reason for the name "hendecoid". If just 11/8 is used as generator, the step ratio is around 1.509.

Modes

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

Scale tree

Generator L s L/s Comments
7\13 1 1 1.000
41\76 6 5 1.200
34\63 5 4 1.250
61\113 9 7 1.286
27\50 4 3 1.333
74\137 11 8 1.375
47\87 7 5 1.400
67\124 10 7 1.428
20\37 3 2 1.500
73\135 11 7 1.571
53\98 8 5 1.600
86\159 13 8 1.625
33\61 5 3 1.667 Freivald / emka is around here
79\146 12 7 1.714
46\85 7 4 1.750
71\109 9 5 1.800
13\24 2 1 2.000 Basic hendecoid,

Wyschnegradsky's diatonicized chromatic

70\107 9 4 2.250
45\83 7 3 2.333
77\142 12 5 2.400
32\59 5 2 2.500
83\152 13 5 2.600
51\94 8 3 2.667
70\129 11 4 2.750
19\35 3 1 3.000
63\116 10 3 3.333
44\81 7 2 3.500
69\127 11 3 3.667
25\46 4 1 4.000 Heinz is around here
56\103 9 2 4.500
31\57 5 1 5.000
37\68 6 1 6.000
6\11 1 0 → inf