1L 5s
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Scale structure
Step pattern
Lsssss
sssssL
Equave
2/1 (1200.0¢)
Period
2/1 (1200.0¢)
Generator size
Bright
5\6 to 1\1 (1000.0¢ to 1200.0¢)
Dark
0\1 to 1\6 (0.0¢ to 200.0¢)
TAMNAMS information
Name
antimachinoid
Prefix
amech-
Abbrev.
amk
Related MOS scales
Parent
1L 4s
Sister
5L 1s
Daughters
6L 1s, 1L 6s
Neutralized
2L 4s
2-Flought
7L 5s, 1L 11s
Equal tunings
Equalized (L:s = 1:1)
5\6 (1000.0¢)
Supersoft (L:s = 4:3)
16\19 (1010.5¢)
Soft (L:s = 3:2)
11\13 (1015.4¢)
Semisoft (L:s = 5:3)
17\20 (1020.0¢)
Basic (L:s = 2:1)
6\7 (1028.6¢)
Semihard (L:s = 5:2)
13\15 (1040.0¢)
Hard (L:s = 3:1)
7\8 (1050.0¢)
Superhard (L:s = 4:1)
8\9 (1066.7¢)
Collapsed (L:s = 1:0)
1\1 (1200.0¢)
| ↑ 1L 4s | 2L 4s ↗ | |
| 1L 5s | 2L 5s → | |
| ↓ 1L 6s | 2L 6s ↘ |
┌╥┬┬┬┬┬┐ │║││││││ ││││││││ └┴┴┴┴┴┴┘
sssssL
1L 5s, named antimachinoid in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 5 small steps, repeating every octave. Generators that produce this scale range from 1000¢ to 1200¢, or from 0¢ to 200¢.
There are two notable low-harmonic-entropy scales with this MOS pattern. The first is tetracot, in which four generators make a 3/2.
The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as roulette6, the six note haplitonic scale for the roulette Chromatic pair.
This scale can be seen as the equal-tempered whole-tone scale (6edo), but with one "whole tone" that is larger than the others.
Other scales include very improper (incomplete) versions of porcupine, negri, etc.
Modes
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 5|0 | 1 | Lsssss |
| 4|1 | 6 | sLssss |
| 3|2 | 5 | ssLsss |
| 2|3 | 4 | sssLss |
| 1|4 | 3 | ssssLs |
| 0|5 | 2 | sssssL |
Degrees
| UDP | Cyclic order |
Step pattern |
Scale degree (amechdegree) | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | |||
| 5|0 | 1 | Lsssss | Perf. | Aug. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 4|1 | 6 | sLssss | Perf. | Perf. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 3|2 | 5 | ssLsss | Perf. | Perf. | Min. | Maj. | Maj. | Perf. | Perf. |
| 2|3 | 4 | sssLss | Perf. | Perf. | Min. | Min. | Maj. | Perf. | Perf. |
| 1|4 | 3 | ssssLs | Perf. | Perf. | Min. | Min. | Min. | Perf. | Perf. |
| 0|5 | 2 | sssssL | Perf. | Perf. | Min. | Min. | Min. | Dim. | Perf. |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-amechstep | Perfect 0-amechstep | P0amks | 0 | 0.0¢ |
| 1-amechstep | Perfect 1-amechstep | P1amks | s | 0.0¢ to 200.0¢ |
| Augmented 1-amechstep | A1amks | L | 200.0¢ to 1200.0¢ | |
| 2-amechstep | Minor 2-amechstep | m2amks | 2s | 0.0¢ to 400.0¢ |
| Major 2-amechstep | M2amks | L + s | 400.0¢ to 1200.0¢ | |
| 3-amechstep | Minor 3-amechstep | m3amks | 3s | 0.0¢ to 600.0¢ |
| Major 3-amechstep | M3amks | L + 2s | 600.0¢ to 1200.0¢ | |
| 4-amechstep | Minor 4-amechstep | m4amks | 4s | 0.0¢ to 800.0¢ |
| Major 4-amechstep | M4amks | L + 3s | 800.0¢ to 1200.0¢ | |
| 5-amechstep | Diminished 5-amechstep | d5amks | 5s | 0.0¢ to 1000.0¢ |
| Perfect 5-amechstep | P5amks | L + 4s | 1000.0¢ to 1200.0¢ | |
| 6-amechstep | Perfect 6-amechstep | P6amks | L + 5s | 1200.0¢ |
Scales
Scale list
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 5\6 | 1000.000 | 200.000 | 1:1 | 1.000 | Equalized 1L 5s | |||||
| 26\31 | 1006.452 | 193.548 | 6:5 | 1.200 | Luna/hemithirds/hemiwürschmidt Didacus/roulette Isra/tutone/leantone | |||||
| 21\25 | 1008.000 | 192.000 | 5:4 | 1.250 | Isra/leantone | |||||
| 37\44 | 1009.091 | 190.909 | 9:7 | 1.286 | Isra/deutone | |||||
| 16\19 | 1010.526 | 189.474 | 4:3 | 1.333 | Supersoft 1L 5s Spell | |||||
| 43\51 | 1011.765 | 188.235 | 11:8 | 1.375 | ||||||
| 27\32 | 1012.500 | 187.500 | 7:5 | 1.400 | ||||||
| 38\45 | 1013.333 | 186.667 | 10:7 | 1.429 | ||||||
| 11\13 | 1015.385 | 184.615 | 3:2 | 1.500 | Soft 1L 5s Glacial | |||||
| 39\46 | 1017.391 | 182.609 | 11:7 | 1.571 | ||||||
| 28\33 | 1018.182 | 181.818 | 8:5 | 1.600 | ||||||
| 45\53 | 1018.868 | 181.132 | 13:8 | 1.625 | Wilson Golden 2 (1018.6773¢) | |||||
| 17\20 | 1020.000 | 180.000 | 5:3 | 1.667 | Semisoft 1L 5s | |||||
| 40\47 | 1021.277 | 178.723 | 12:7 | 1.714 | ||||||
| 23\27 | 1022.222 | 177.778 | 7:4 | 1.750 | ||||||
| 29\34 | 1023.529 | 176.471 | 9:5 | 1.800 | Tetracot | |||||
| 6\7 | 1028.571 | 171.429 | 2:1 | 2.000 | Basic 1L 5s Scales with tunings softer than this are proper | |||||
| 25\29 | 1034.483 | 165.517 | 9:4 | 2.250 | ||||||
| 19\22 | 1036.364 | 163.636 | 7:3 | 2.333 | Porcupine (incomplete) | |||||
| 32\37 | 1037.838 | 162.162 | 12:5 | 2.400 | Porcupine/porcupinefish | |||||
| 13\15 | 1040.000 | 160.000 | 5:2 | 2.500 | Semihard 1L 5s | |||||
| 33\38 | 1042.105 | 157.895 | 13:5 | 2.600 | Wilson Golden 1 (1042.4790¢) | |||||
| 20\23 | 1043.478 | 156.522 | 8:3 | 2.667 | ||||||
| 27\31 | 1045.161 | 154.839 | 11:4 | 2.750 | Nusecond | |||||
| 7\8 | 1050.000 | 150.000 | 3:1 | 3.000 | Hard 1L 5s | |||||
| 22\25 | 1056.000 | 144.000 | 10:3 | 3.333 | ||||||
| 15\17 | 1058.824 | 141.176 | 7:2 | 3.500 | Progression (incomplete) | |||||
| 23\26 | 1061.538 | 138.462 | 11:3 | 3.667 | ||||||
| 8\9 | 1066.667 | 133.333 | 4:1 | 4.000 | Superhard 1L 5s | |||||
| 17\19 | 1073.684 | 126.316 | 9:2 | 4.500 | Negri (incomplete) | |||||
| 9\10 | 1080.000 | 120.000 | 5:1 | 5.000 | Miracle (incomplete) | |||||
| 10\11 | 1090.909 | 109.091 | 6:1 | 6.000 | Passion (incomplete) ↓, ripple (incomplete) ↓ | |||||
| 1\1 | 1200.000 | 0.000 | 1:0 | → ∞ | Collapsed 1L 5s | |||||