9L 7s
Jump to navigation
Jump to search
Scale structure
Step pattern
LLsLsLsLLsLsLsLs
sLsLsLsLLsLsLsLL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
7\16 to 4\9 (525.0¢ to 533.3¢)
Dark
5\9 to 9\16 (666.7¢ to 675.0¢)
TAMNAMS information
Descends from
7L 2s (armotonic)
Related MOS scales
Parent
7L 2s
Sister
7L 9s
Daughters
16L 9s
9L 16s
Equal tunings
Equalized (L:s = 1:1)
7\16 (525.0¢)
Supersoft (L:s = 4:3)
25\57 (526.3¢)
Soft (L:s = 3:2)
18\41 (526.8¢)
Semisoft (L:s = 5:3)
29\66 (527.3¢)
Basic (L:s = 2:1)
11\25 (528.0¢)
Semihard (L:s = 5:2)
26\59 (528.8¢)
Hard (L:s = 3:1)
15\34 (529.4¢)
Superhard (L:s = 4:1)
19\43 (530.2¢)
Collapsed (L:s = 1:0)
4\9 (533.3¢)
Todo: review
Adopt scale tree template, review entries
| ↖8L 6s | ↑9L 6s | 10L 6s↗ |
| ←8L 7s | 9L 7s | 10L 7s→ |
| ↙8L 8s | ↓9L 8s | 10L 8s↘ |
┌╥╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬┐ │║║│║│║│║║│║│║│║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLsLLsLsLsLL
9L 16s
9L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 7 small steps, repeating every octave. 9L 7s is a child scale of 7L 2s, expanding it by 7 tones. Generators that produce this scale range from 525¢ to 533.3¢, or from 666.7¢ to 675¢.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 15|0 | 1 | LLsLsLsLLsLsLsLs |
| 14|1 | 8 | LLsLsLsLsLLsLsLs |
| 13|2 | 15 | LsLLsLsLsLLsLsLs |
| 12|3 | 6 | LsLLsLsLsLsLLsLs |
| 11|4 | 13 | LsLsLLsLsLsLLsLs |
| 10|5 | 4 | LsLsLLsLsLsLsLLs |
| 9|6 | 11 | LsLsLsLLsLsLsLLs |
| 8|7 | 2 | LsLsLsLLsLsLsLsL |
| 7|8 | 9 | LsLsLsLsLLsLsLsL |
| 6|9 | 16 | sLLsLsLsLLsLsLsL |
| 5|10 | 7 | sLLsLsLsLsLLsLsL |
| 4|11 | 14 | sLsLLsLsLsLLsLsL |
| 3|12 | 5 | sLsLLsLsLsLsLLsL |
| 2|13 | 12 | sLsLsLLsLsLsLLsL |
| 1|14 | 3 | sLsLsLLsLsLsLsLL |
| 0|15 | 10 | sLsLsLsLLsLsLsLL |
Tuning spectrum
| generator | L | s | L/s | gen (cents) | comment | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 4\9 | 1 | 0 | 533.333 | ||||||||||
| 39\88 | 9 | 1 | 9.000 | 531.818 | |||||||||
| 35\79 | 8 | 1 | 8.000 | 531.646 | |||||||||
| 31\70 | 7 | 1 | 7.000 | 531.429 | |||||||||
| 58\131 | 13 | 2 | 6.500 | 531.298 | |||||||||
| 27\61 | 6 | 1 | 6.000 | 531.148 | |||||||||
| 50\113 | 11 | 2 | 5.500 | 530.973 | |||||||||
| 23\52 | 5 | 1 | 5.000 | 530.769 | |||||||||
| 42\95 | 9 | 2 | 4.500 | 530.526 | |||||||||
| 19\43 | 4 | 1 | 4.000 | 530.233 | |||||||||
| 53\120 | 11 | 3 | 3.667 | 530.000 | Amavil is around here | ||||||||
| 34\77 | 7 | 2 | 3.500 | 529.870 | |||||||||
| 49\111 | 10 | 3 | 3.333 | 529.730 | Mabila (5-limit) is around here | ||||||||
| 15\34 | 3 | 1 | 3.000 | 529.412 | |||||||||
| 56\127 | 11 | 4 | 2.750 | 529.134 | |||||||||
| 41\93 | 8 | 3 | 2.667 | 529.032 | |||||||||
| 26\59 | 5 | 2 | 2.500 | 528.814 | |||||||||
| 37\84 | 7 | 3 | 2.333 | 528.571 | |||||||||
| 48\109 | 9 | 4 | 2.250 | 528.440 | |||||||||
| 11\25 | 2 | 1 | 2.000 | 528.000 | |||||||||
| 51\116 | 9 | 5 | 1.800 | 527.586 | |||||||||
| 40\91 | 7 | 4 | 1.750 | 527.473 | |||||||||
| 29\66 | 5 | 3 | 1.667 | 527.273 | |||||||||
| 47\107 | 8 | 5 | 1.600 | 527.103 | |||||||||
| 18\41 | 3 | 2 | 1.500 | 526.829 | |||||||||
| 43\98 | 7 | 5 | 1.400 | 526.531 | Trismegistus is around here | ||||||||
| 25\57 | 4 | 3 | 1.333 | 526.316 | |||||||||
| 57\130 | 9 | 7 | 1.286 | 526.154 | Armodue is around here | ||||||||
| 32\73 | 5 | 4 | 1.250 | 526.027 | |||||||||
| 39\89 | 6 | 5 | 1.200 | 525.843 | |||||||||
| 46\105 | 7 | 6 | 1.167 | 525.714 | |||||||||
| 53\121 | 8 | 7 | 1.143 | 525.620 | |||||||||
| 60\137 | 9 | 8 | 1.125 | 525.574 | |||||||||
| 7\16 | 1 | 1 | 1.000 | 525.000 | |||||||||