1L 7s
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Step pattern
Lsssssss
sssssssL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
7\8 to 1\1 (1050.0 ¢ to 1200.0 ¢)
Dark
0\1 to 1\8 (0.0 ¢ to 150.0 ¢)
Name
antipine
Prefix
apine-
Abbrev.
ap
Parent
1L 6s
Sister
7L 1s
Daughters
8L 1s, 1L 8s
Neutralized
2L 6s
2-Flought
9L 7s, 1L 15s
Equalized (L:s = 1:1)
7\8 (1050.0 ¢)
Supersoft (L:s = 4:3)
22\25 (1056.0 ¢)
Soft (L:s = 3:2)
15\17 (1058.8 ¢)
Semisoft (L:s = 5:3)
23\26 (1061.5 ¢)
Basic (L:s = 2:1)
8\9 (1066.7 ¢)
Semihard (L:s = 5:2)
17\19 (1073.7 ¢)
Hard (L:s = 3:1)
9\10 (1080.0 ¢)
Superhard (L:s = 4:1)
10\11 (1090.9 ¢)
Collapsed (L:s = 1:0)
1\1 (1200.0 ¢)
| ↑ 1L 6s | 2L 6s ↗ | |
| 1L 7s | 2L 7s → | |
| ↓ 1L 8s | 2L 8s ↘ |
┌╥┬┬┬┬┬┬┬┐ │║││││││││ ││││││││││ └┴┴┴┴┴┴┴┴┘
Scale structure
sssssssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
1L 7s, named antipine in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 7 small steps, repeating every octave. Generators that produce this scale range from 1050 ¢ to 1200 ¢, or from 0 ¢ to 150 ¢. This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, bleu. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.
Name
TAMNAMS suggests the temperament-agnostic name antipine as the name of 1L 7s. The name is based on being the opposite pattern of 7L 1s (pine).
Scale properties
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-apinestep | Perfect 0-apinestep | P0aps | 0 | 0.0 ¢ |
| 1-apinestep | Perfect 1-apinestep | P1aps | s | 0.0 ¢ to 150.0 ¢ |
| Augmented 1-apinestep | A1aps | L | 150.0 ¢ to 1200.0 ¢ | |
| 2-apinestep | Minor 2-apinestep | m2aps | 2s | 0.0 ¢ to 300.0 ¢ |
| Major 2-apinestep | M2aps | L + s | 300.0 ¢ to 1200.0 ¢ | |
| 3-apinestep | Minor 3-apinestep | m3aps | 3s | 0.0 ¢ to 450.0 ¢ |
| Major 3-apinestep | M3aps | L + 2s | 450.0 ¢ to 1200.0 ¢ | |
| 4-apinestep | Minor 4-apinestep | m4aps | 4s | 0.0 ¢ to 600.0 ¢ |
| Major 4-apinestep | M4aps | L + 3s | 600.0 ¢ to 1200.0 ¢ | |
| 5-apinestep | Minor 5-apinestep | m5aps | 5s | 0.0 ¢ to 750.0 ¢ |
| Major 5-apinestep | M5aps | L + 4s | 750.0 ¢ to 1200.0 ¢ | |
| 6-apinestep | Minor 6-apinestep | m6aps | 6s | 0.0 ¢ to 900.0 ¢ |
| Major 6-apinestep | M6aps | L + 5s | 900.0 ¢ to 1200.0 ¢ | |
| 7-apinestep | Diminished 7-apinestep | d7aps | 7s | 0.0 ¢ to 1050.0 ¢ |
| Perfect 7-apinestep | P7aps | L + 6s | 1050.0 ¢ to 1200.0 ¢ | |
| 8-apinestep | Perfect 8-apinestep | P8aps | L + 7s | 1200.0 ¢ |
Generator chain
| Bright gens | Scale degree | Abbrev. |
|---|---|---|
| 8 | Augmented 0-apinedegree | A0apd |
| 7 | Augmented 1-apinedegree | A1apd |
| 6 | Major 2-apinedegree | M2apd |
| 5 | Major 3-apinedegree | M3apd |
| 4 | Major 4-apinedegree | M4apd |
| 3 | Major 5-apinedegree | M5apd |
| 2 | Major 6-apinedegree | M6apd |
| 1 | Perfect 7-apinedegree | P7apd |
| 0 | Perfect 0-apinedegree Perfect 8-apinedegree |
P0apd P8apd |
| −1 | Perfect 1-apinedegree | P1apd |
| −2 | Minor 2-apinedegree | m2apd |
| −3 | Minor 3-apinedegree | m3apd |
| −4 | Minor 4-apinedegree | m4apd |
| −5 | Minor 5-apinedegree | m5apd |
| −6 | Minor 6-apinedegree | m6apd |
| −7 | Diminished 7-apinedegree | d7apd |
| −8 | Diminished 8-apinedegree | d8apd |
Modes
| UDP | Cyclic order |
Step pattern |
Scale degree (apinedegree) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||
| 7|0 | 1 | Lsssssss | Perf. | Aug. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 6|1 | 8 | sLssssss | Perf. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 5|2 | 7 | ssLsssss | Perf. | Perf. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 4|3 | 6 | sssLssss | Perf. | Perf. | Min. | Min. | Maj. | Maj. | Maj. | Perf. | Perf. |
| 3|4 | 5 | ssssLsss | Perf. | Perf. | Min. | Min. | Min. | Maj. | Maj. | Perf. | Perf. |
| 2|5 | 4 | sssssLss | Perf. | Perf. | Min. | Min. | Min. | Min. | Maj. | Perf. | Perf. |
| 1|6 | 3 | ssssssLs | Perf. | Perf. | Min. | Min. | Min. | Min. | Min. | Perf. | Perf. |
| 0|7 | 2 | sssssssL | Perf. | Perf. | Min. | Min. | Min. | Min. | Min. | Dim. | Perf. |
Scale tree
Generator ranges:
- Chroma-positive generator: 1050 cents (7\8) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 150 cents (1\8)
| Small step (chroma-negative generator) |
Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\8 | 150.000 | 1 | 1 | 1.000 | ||||||
| 5\41 | 146.341 | 6 | 5 | 1.200 | Bohpier | |||||
| 4\33 | 145.455 | 5 | 4 | 1.250 | ||||||
| 7\58 | 144.828 | 9 | 7 | 1.286 | ||||||
| 3\25 | 144.000 | 4 | 3 | 1.333 | ||||||
| 8\67 | 143.284 | 11 | 8 | 1.375 | ||||||
| 5\42 | 142.857 | 7 | 5 | 1.400 | ||||||
| 7\59 | 142.373 | 10 | 7 | 1.429 | ||||||
| 2\17 | 141.176 | 3 | 2 | 1.500 | ||||||
| 7\60 | 140.000 | 11 | 7 | 1.571 | Bleu | |||||
| 5\43 | 139.535 | 8 | 5 | 1.600 | Jerome/bleu | |||||
| 8\69 | 139.130 | 13 | 8 | 1.625 | Golden jerome (139.2429¢) | |||||
| 3\26 | 138.462 | 5 | 3 | 1.667 | ||||||
| 7\61 | 137.705 | 12 | 7 | 1.714 | ||||||
| 4\35 | 137.143 | 7 | 4 | 1.750 | ||||||
| 5\44 | 136.364 | 9 | 5 | 1.800 | Twothirdtonic | |||||
| 1\9 | 133.333 | 2 | 1 | 2.000 | Basic 1L 7s (small steps larger than this are proper) | |||||
| 4\37 | 129.730 | 9 | 4 | 2.250 | ||||||
| 3\28 | 128.571 | 7 | 3 | 2.333 | ||||||
| 5\47 | 127.660 | 12 | 5 | 2.400 | ||||||
| 2\19 | 126.316 | 5 | 2 | 2.500 | Negri | |||||
| 5\48 | 125.000 | 13 | 5 | 2.600 | Golden negri (124.7656¢) | |||||
| 3\29 | 124.138 | 8 | 3 | 2.667 | ||||||
| 4\39 | 123.077 | 11 | 4 | 2.750 | ||||||
| 1\10 | 120.000 | 3 | 1 | 3.000 | ||||||
| 3\31 | 116.129 | 10 | 3 | 3.333 | Miracle | |||||
| 2\21 | 114.286 | 7 | 2 | 3.500 | ||||||
| 3\32 | 112.500 | 11 | 3 | 3.667 | ||||||
| 1\11 | 109.091 | 4 | 1 | 4.000 | ||||||
| 2\23 | 104.348 | 9 | 2 | 4.500 | ||||||
| 1\12 | 100.000 | 5 | 1 | 5.000 | Passion, ripple | |||||
| 1\13 | 92.308 | 6 | 1 | 6.000 | ||||||
| 0\1 | 0.000 | 1 | 0 | → inf | ||||||
Trivia
This scale is a leap year pattern of the tabular Iranian calendar, where the leap year is inserted 7 times once in 4 years, with 1 gap of 5 years. Curiously enough, one short step of this scale is close to the one step of Bohlen-Pierce.