6L 2s
| ↖ 5L 1s | ↑ 6L 1s | 7L 1s ↗ |
| ← 5L 2s | 6L 2s | 7L 2s → |
| ↙ 5L 3s | ↓ 6L 3s | 7L 3s ↘ |
┌╥╥╥┬╥╥╥┬┐ │║║║│║║║││ ││││││││││ └┴┴┴┴┴┴┴┴┘
sLLLsLLL
6L 2s, named ekic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 2 small steps, with a period of 3 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 150 ¢ to 200 ¢, or from 400 ¢ to 450 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. There is only one significant (though small) harmonic entropy minimum with this MOS pattern: hedgehog, in which two generators are 6/5 and three are 4/3, same as porcupine.
6L 2s can be seen as a warped diatonic scale, where one additional large step is added to diatonic (5L 2s).
In addition to the true MOS pattern, there is a near-mos pattern, LLLLsLLs, in which the period is the only interval with more than two varieties. This near-MOS pattern is only proper if the generator is smaller than 2\14. Hedgehog is among these tunings.
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-ekstep | Perfect 0-ekstep | P0eks | 0 | 0.0 ¢ |
| 1-ekstep | Diminished 1-ekstep | d1eks | s | 0.0 ¢ to 150.0 ¢ |
| Perfect 1-ekstep | P1eks | L | 150.0 ¢ to 200.0 ¢ | |
| 2-ekstep | Minor 2-ekstep | m2eks | L + s | 200.0 ¢ to 300.0 ¢ |
| Major 2-ekstep | M2eks | 2L | 300.0 ¢ to 400.0 ¢ | |
| 3-ekstep | Perfect 3-ekstep | P3eks | 2L + s | 400.0 ¢ to 450.0 ¢ |
| Augmented 3-ekstep | A3eks | 3L | 450.0 ¢ to 600.0 ¢ | |
| 4-ekstep | Perfect 4-ekstep | P4eks | 3L + s | 600.0 ¢ |
| 5-ekstep | Diminished 5-ekstep | d5eks | 3L + 2s | 600.0 ¢ to 750.0 ¢ |
| Perfect 5-ekstep | P5eks | 4L + s | 750.0 ¢ to 800.0 ¢ | |
| 6-ekstep | Minor 6-ekstep | m6eks | 4L + 2s | 800.0 ¢ to 900.0 ¢ |
| Major 6-ekstep | M6eks | 5L + s | 900.0 ¢ to 1000.0 ¢ | |
| 7-ekstep | Perfect 7-ekstep | P7eks | 5L + 2s | 1000.0 ¢ to 1050.0 ¢ |
| Augmented 7-ekstep | A7eks | 6L + s | 1050.0 ¢ to 1200.0 ¢ | |
| 8-ekstep | Perfect 8-ekstep | P8eks | 6L + 2s | 1200.0 ¢ |
Modes
| UDP | Cyclic order |
Step pattern |
Scale degree (ekdegree) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |||
| 6|0(2) | 1 | LLLsLLLs | Perf. | Perf. | Maj. | Aug. | Perf. | Perf. | Maj. | Aug. | Perf. |
| 4|2(2) | 2 | LLsLLLsL | Perf. | Perf. | Maj. | Perf. | Perf. | Perf. | Maj. | Perf. | Perf. |
| 2|4(2) | 3 | LsLLLsLL | Perf. | Perf. | Min. | Perf. | Perf. | Perf. | Min. | Perf. | Perf. |
| 0|6(2) | 4 | sLLLsLLL | Perf. | Dim. | Min. | Perf. | Perf. | Dim. | Min. | Perf. | Perf. |
Proposed Names
The following mode names are advocated by Frostburn for their dreamy, yet oppressing sound especially in 20edo.
| UDP | Cyclic order |
Step pattern |
|---|---|---|
| 6|0(2) | 1 | LLLsLLLs |
| 4|2(2) | 2 | LLsLLLsL |
| 2|4(2) | 3 | LsLLLsLL |
| 0|6(2) | 4 | sLLLsLLL |