5L 6s
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Scale structure
Step pattern
LsLsLsLsLss
ssLsLsLsLsL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
2\11 to 1\5 (218.2¢ to 240.0¢)
Dark
4\5 to 9\11 (960.0¢ to 981.8¢)
TAMNAMS information
Descends from
5L 1s (machinoid)
Required step ratio range
2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent
5L 1s
Sister
6L 5s
Daughters
11L 5s
5L 11s
Equal tunings
Equalized (L:s = 1:1)
2\11 (218.2¢)
Supersoft (L:s = 4:3)
7\38 (221.1¢)
Soft (L:s = 3:2)
5\27 (222.2¢)
Semisoft (L:s = 5:3)
8\43 (223.3¢)
Basic (L:s = 2:1)
3\16 (225.0¢)
Semihard (L:s = 5:2)
7\37 (227.0¢)
Hard (L:s = 3:1)
4\21 (228.6¢)
Superhard (L:s = 4:1)
5\26 (230.8¢)
Collapsed (L:s = 1:0)
1\5 (240.0¢)
| ↖4L 5s | ↑5L 5s | 6L 5s↗ |
| ←4L 6s | 5L 6s | 6L 6s→ |
| ↙4L 7s | ↓5L 7s | 6L 7s↘ |
┌╥┬╥┬╥┬╥┬╥┬┬┐ │║│║│║│║│║│││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
ssLsLsLsLsL
5L 11s
5L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 6 small steps, repeating every octave. 5L 6s is a child scale of 5L 1s, expanding it by 5 tones. Generators that produce this scale range from 218.2¢ to 240¢, or from 960¢ to 981.8¢.
This pattern has multiple significant harmonic entropy minima, but they are all improper. The only saving grace for it is that is has harmonic entropy minima where the ratio between the large and small steps is optimal for melody, and that the generator for these scales is less than 6 cents flat of 8/7. The saving grace of the more lopsided scales is that a syntonic fifth is three generators up from the root. The name for this MOS pattern is p-chro machinoid.
Modes
| UDP | Rotational order | Step pattern |
|---|---|---|
| 10|0 | 1 | LsLsLsLsLss |
| 9|1 | 3 | LsLsLsLssLs |
| 8|2 | 5 | LsLsLssLsLs |
| 7|3 | 7 | LsLssLsLsLs |
| 6|4 | 9 | LssLsLsLsLs |
| 5|5 | 11 | sLsLsLsLsLs |
| 4|6 | 2 | sLsLsLsLssL |
| 3|7 | 4 | sLsLsLssLsL |
| 2|8 | 6 | sLsLssLsLsL |
| 1|9 | 8 | sLssLsLsLsL |
| 0|10 | 10 | ssLsLsLsLsL |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\11 | 218.182 | 981.818 | 1:1 | 1.000 | Equalized 5L 6s | |||||
| 11\60 | 220.000 | 980.000 | 6:5 | 1.200 | ||||||
| 9\49 | 220.408 | 979.592 | 5:4 | 1.250 | ||||||
| 16\87 | 220.690 | 979.310 | 9:7 | 1.286 | ||||||
| 7\38 | 221.053 | 978.947 | 4:3 | 1.333 | Supersoft 5L 6s | |||||
| 19\103 | 221.359 | 978.641 | 11:8 | 1.375 | ||||||
| 12\65 | 221.538 | 978.462 | 7:5 | 1.400 | ||||||
| 17\92 | 221.739 | 978.261 | 10:7 | 1.429 | ||||||
| 5\27 | 222.222 | 977.778 | 3:2 | 1.500 | Soft 5L 6s | |||||
| 18\97 | 222.680 | 977.320 | 11:7 | 1.571 | ||||||
| 13\70 | 222.857 | 977.143 | 8:5 | 1.600 | ||||||
| 21\113 | 223.009 | 976.991 | 13:8 | 1.625 | ||||||
| 8\43 | 223.256 | 976.744 | 5:3 | 1.667 | Semisoft 5L 6s | |||||
| 19\102 | 223.529 | 976.471 | 12:7 | 1.714 | ||||||
| 11\59 | 223.729 | 976.271 | 7:4 | 1.750 | ||||||
| 14\75 | 224.000 | 976.000 | 9:5 | 1.800 | ||||||
| 3\16 | 225.000 | 975.000 | 2:1 | 2.000 | Basic 5L 6s Scales with tunings softer than this are proper | |||||
| 13\69 | 226.087 | 973.913 | 9:4 | 2.250 | ||||||
| 10\53 | 226.415 | 973.585 | 7:3 | 2.333 | ||||||
| 17\90 | 226.667 | 973.333 | 12:5 | 2.400 | ||||||
| 7\37 | 227.027 | 972.973 | 5:2 | 2.500 | Semihard 5L 6s | |||||
| 18\95 | 227.368 | 972.632 | 13:5 | 2.600 | ||||||
| 11\58 | 227.586 | 972.414 | 8:3 | 2.667 | ||||||
| 15\79 | 227.848 | 972.152 | 11:4 | 2.750 | ||||||
| 4\21 | 228.571 | 971.429 | 3:1 | 3.000 | Hard 5L 6s | |||||
| 13\68 | 229.412 | 970.588 | 10:3 | 3.333 | ||||||
| 9\47 | 229.787 | 970.213 | 7:2 | 3.500 | ||||||
| 14\73 | 230.137 | 969.863 | 11:3 | 3.667 | ||||||
| 5\26 | 230.769 | 969.231 | 4:1 | 4.000 | Superhard 5L 6s | |||||
| 11\57 | 231.579 | 968.421 | 9:2 | 4.500 | Cynder | |||||
| 6\31 | 232.258 | 967.742 | 5:1 | 5.000 | Mothra | |||||
| 7\36 | 233.333 | 966.667 | 6:1 | 6.000 | Slendric, ↓ Rodan | |||||
| 1\5 | 240.000 | 960.000 | 1:0 | → ∞ | Collapsed 5L 6s | |||||