2L 8s
User:IlL/Template:RTT restriction
| ↖ 1L 7s | ↑ 2L 7s | 3L 7s ↗ |
| ← 1L 8s | 2L 8s | 3L 8s → |
| ↙ 1L 9s | ↓ 2L 9s | 3L 9s ↘ |
ssssLssssL
2L 8s or pajaroid (named after the abstract temperament pajara) is the MOS pattern of the decatonic scale of Paul Erlich and others. In addition to the true MOS form, LssssLssss, these scales also exist in a near-MOS form, LsssssLsss, in which the period is the only interval class with more than two flavors. In the case of the decatonic scale, LssssLssss is called the "symmetric" scale and LsssssLsss is called the "pentachordal" scale (because it has two identical "pentachords" in the same way that the diatonic scale has two identical tetrachords).
Notation
The notation used in this article is ssLssssLss = JKLMNOPQRSJ unless specified otherwise. We denote raising and lowering by a chroma (L − s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".)
Thus the 12edo gamut is as follows:
J K L L&/M@ M N O P Q Q&/R@ R S J
Scale tree
| Generator | Cents | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0\2 | 0 | |||||||||
| 1\26 | 46.15 | |||||||||
| 1\24 | 50 | |||||||||
| 2\46 | 52.17 | |||||||||
| 1\22 | 54.55 | |||||||||
| 1\20 | 60 | |||||||||
| 1\18 | 66.67 | |||||||||
| 1\16 | 75 | L/s = 4 | ||||||||
| 1\14 | 85.71 | L/s = 3 | ||||||||
| 2\26 | 92.31 | |||||||||
| 5\64 | 93.75 | |||||||||
| 13\166 | 93.98 | |||||||||
| 21\268 | 94.03 | Golden pajaroid | ||||||||
| 8\102 | 94.12 | |||||||||
| 3\38 | 94.74 | |||||||||
| 4\50 | 96 | |||||||||
| 5\62 | 96.77 | |||||||||
| 1\12 | 100 | Boundary of propriety (generators
larger than this are proper) | ||||||||
| 4\46 | 104.35 | |||||||||
| 7\80 | 105.00 | Diaschismic is around here | ||||||||
| 3\34 | 105.88 | |||||||||
| 8\90 | 106.67 | around here 8g=18/11 | ||||||||
| 21\236 | 106.78 | |||||||||
| 34\382 | 106.81 | Golden pajaroid | ||||||||
| 13\146 | 106.85 | |||||||||
| 5\56 | 107.14 | |||||||||
| 2\22 | 109.09 | Optimum rank range (L/s=3/2) pajaroid | ||||||||
| 3\32 | 112.5 | |||||||||
| 4\42 | 114.29 | |||||||||
| 5\52 | 115.385 | |||||||||
| 6\62 | 116.13 | |||||||||
| 7\72 | 116.67 | |||||||||
| 8\82 | 117.07 | |||||||||
| 1\10 | 120 | |||||||||