4L 1s
| ← 3L 1s | 4L 1s | 5L 1s → |
| ↙ 3L 2s | ↓ 4L 2s | 5L 2s ↘ |
┌╥╥╥╥┬┐ │║║║║││ │││││││ └┴┴┴┴┴┘
sLLLL
4L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 240 ¢ to 300 ¢, or from 900 ¢ to 960 ¢. Scales of this form are always proper because there is only one small step. The scale with the lowest harmonic entropy for this MOS pattern is semaphore, in which two generators make a 4/3. The other interesting scale is orwell, in which the generator is approximately 7/6 and three of them make an 8/5.
Names
The TAMNAMS system uses the name manual, a name that is thematically inspired by the Latin word "manus".
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0 ¢ |
| 1-mosstep | Diminished 1-mosstep | d1ms | s | 0.0 ¢ to 240.0 ¢ |
| Perfect 1-mosstep | P1ms | L | 240.0 ¢ to 300.0 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 300.0 ¢ to 480.0 ¢ |
| Major 2-mosstep | M2ms | 2L | 480.0 ¢ to 600.0 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 600.0 ¢ to 720.0 ¢ |
| Major 3-mosstep | M3ms | 3L | 720.0 ¢ to 900.0 ¢ | |
| 4-mosstep | Perfect 4-mosstep | P4ms | 3L + s | 900.0 ¢ to 960.0 ¢ |
| Augmented 4-mosstep | A4ms | 4L | 960.0 ¢ to 1200.0 ¢ | |
| 5-mosstep | Perfect 5-mosstep | P5ms | 4L + s | 1200.0 ¢ |
Modes
Modes of 4L 1s can be named systematically either with modal UDP notation, rotational order (with 1 being the brightest mode) or the step pattern.
| UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | |||||
|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | |||
| 4|0 | 1 | LLLLs | Perf. | Perf. | Maj. | Maj. | Aug. | Perf. |
| 3|1 | 2 | LLLsL | Perf. | Perf. | Maj. | Maj. | Perf. | Perf. |
| 2|2 | 3 | LLsLL | Perf. | Perf. | Maj. | Min. | Perf. | Perf. |
| 1|3 | 4 | LsLLL | Perf. | Perf. | Min. | Min. | Perf. | Perf. |
| 0|4 | 5 | sLLLL | Perf. | Dim. | Min. | Min. | Perf. | Perf. |
Proposed Names
Additionally, cellularAutomaton has proposed names based on Latin names for fingers of the hand for increased distinctiveness and memorability.
| UDP | Step pattern | cellularAutomaton's names |
|---|---|---|
| 0 | LLLLs | Minimal |
| 1 | LLLsL | Medicinal |
| 2 | LLsLL | Medial |
| 3 | LsLLL | Indical |
| 4 | sLLLL | Pollical |
Scale Tree
Generator ranges:
- Chroma-positive generator: 240 cents (1\5) to 300 cents (1\4)
- Chroma-negative generator: 900 cents (3\4) to 960 cents (4\5)
|
Todo: complete table , Convert manually-generated scale tree table to MOS tuning spectrum |
| Generator | Cents | s | L-s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|
| 1\5 | 240 | 240 | 0 | ||||||
| 6\29 | 248.28 | 206.9 | 41.38 | ||||||
| 5\24 | 250 | 200 | 50 | Semaphore is around here | |||||
| 4\19 | 252.63 | 189.47 | 63.16 | ||||||
| 3\14 | 257.14 | 171.43 | 85.71 | ||||||
| 258.81 | 164.76 | 92.05 | |||||||
| 8\37 | 259.46 | 162.16 | 97.3 | ||||||
| 1200/(3+phi) | 160.6 | 99.25 | Golden bug / golden superpelog | ||||||
| 5\23 | 260.87 | 156.52 | 104.35 | ||||||
| 262.16 | 151.36 | 110.8 | |||||||
| 2\9 | 266.67 | 133.33 | 133.33 | Optimum rank range (L/s=2/1) bug | |||||
| 7\31 | 270.97 | 116.13 | 154.84 | ||||||
| 12\53 | 271.70 | 113.21 | 158.49 | Orwell is around here | |||||
| 5\22 | 272.73 | 109.09 | 163.64 | ||||||
| 274.73 | 101.07 | 173.66 | L/s = e | ||||||
| 3\13 | 276.92 | 92.31 | 184.62 | L/s = 3 | |||||
| 277.89 | 88.45 | 189.43 | L/s = pi | ||||||
| 4\17 | 282.35 | 70.59 | 211.76 | L/s = 4 | |||||
| 5\21 | 285.71 | 57.14 | 228.57 | ||||||
| 6\25 | 288 | 48 | 240 | ||||||
| 1\4 | 300 | 0 | 300 | ||||||