7L 1s
Jump to navigation
Jump to search
| Brightest mode | LLLLLLLs | |
| Period | 2/1 | |
| Range for bright generator | 1\8 (150.0¢) to 1\7 (171.4¢) | |
| Range for dark generator | 6\7 (1,028.6¢) to 7\8 (1,050.0¢) | |
| Parent MOS | 1L 6s | |
| Daughter MOSes | 8L 7s, 7L 8s | |
| Sister MOS | 1L 7s | |
| TAMNAMS name | pine | |
| Equal tunings | ||
| Supersoft (L:s = 4:3) | 4\31 (154.8¢) | |
| Soft (L:s = 3:2) | 3\23 (156.5¢) | |
| Semisoft (L:s = 5:3) | 5\38 (157.9¢) | |
| Basic (L:s = 2:1) | 2\15 (160.0¢) | |
| Semihard (L:s = 5:2) | 5\37 (162.2¢) | |
| Hard (L:s = 3:1) | 3\22 (163.6¢) | |
| Superhard (L:s = 4:1) | 4\29 (165.5¢) | |
There are two notable harmonic entropy minima with this MOS pattern. The first is porcupine, in which two generators make a 6/5 and three make a 4/3. The range of porcupine tunings is about 2\15 to 3\22. Less well-known is greeley, in which two generators are still 6/5 but three fall quite short of a 4/3, but the scale happens to closely approximate a lot of higher-complexity intervals like 10/7, 11/7, etc.
Modes
Mode names are from Porcupine temperament modal harmony.
| Mode | UDP | Mode name |
|---|---|---|
| LLLLLLLs | 7|0 | octopus |
| LLLLLLsL | 6|1 | mantis |
| LLLLLsLL | 5|2 | dolphin |
| LLLLsLLL | 4|3 | crab |
| LLLsLLLL | 3|4 | tuna |
| LLsLLLLL | 2|5 | salmon |
| LsLLLLLL | 1|6 | starfish |
| sLLLLLLL | 0|7 | whale |
Scale tree
Scales of this form are always proper, because there is only one small step.
| Generator | Cents | Scale in EDO steps | Comments | |||||
|---|---|---|---|---|---|---|---|---|
| 1\7 | 171.43 | 1 1 1 1 1 1 1 0 | ||||||
| 6\43 | 167.44 | 6 6 6 6 6 6 6 1 | ||||||
| 5\36 | 166.67 | 5 5 5 5 5 5 5 1 | ||||||
| 4\29 | 165.52 | 4 4 4 4 4 4 4 1 | L/s = 4 | |||||
| 163.97 | π π π π π π π 1 | L/s = π | ||||||
| 3\22 | 163.64 | 3 3 3 3 3 3 3 1 | L/s = 3 | |||||
| 162.87 | e e e e e e e e 1 | L/s = e | ||||||
| 8\59 | 162,71 | 8 8 8 8 8 8 8 3 | ||||||
| 13\96 | 162.5 | 13 13 13 13 13 13 13 5 | ||||||
| 5\37 | 162.16 | 5 5 5 5 5 5 5 2 | Porcupine is in this general region | |||||
| 7\52 | 161.54 | 7 7 7 7 7 7 7 3 | ||||||
| 2\15 | 160 | 2 2 2 2 2 2 2 1 | Optimum rank range (L/s=2/1) porcupine | |||||
| 158.37 | √3 √3 √3 √3 √3 √3 √3 1 | |||||||
| 5\38 | 157.89 | 5 5 5 5 5 5 5 3 | ||||||
| 13\99 | 157.58 | 13 13 13 13 13 13 13 8 | Golden porcupine / golden hemikleismic | |||||
| 8\61 | 157.38 | 8 8 8 8 8 8 8 5 | ||||||
| (11\84) | 157.14) | 11 11 11 11 11 11 11 7 π π π π π π π 2 | ||||||
| 3\23 | 156.52 | 3 3 3 3 3 3 3 2 | ||||||
| 10\77 | 155.84 | 10 10 10 10 10 10 10 7 | Greeley is around here | |||||
| 7\54 | 155.56 | 7 7 7 7 7 7 7 5 | ||||||
| 4\31 | 154.84 | 4 4 4 4 4 4 4 3 | ||||||
| 5\39 | 153.85 | 5 5 5 5 5 5 5 4 | ||||||
| 6\47 | 153.19 | 6 6 6 6 6 6 6 5 | ||||||
| 1\8 | 150 | 1 1 1 1 1 1 1 1 | ||||||