11L 2s
| ↖10L 1s | ↑11L 1s | 12L 1s↗ |
| ←10L 2s | 11L 2s | 12L 2s→ |
| ↙10L 3s | ↓11L 3s | 12L 3s↘ |
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
| 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 | ||||||