3L 1s: Difference between revisions
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→Modes: added MOS mode degrees template |
m == Intervals == {{MOS intervals}} |
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{{Infobox MOS|name=tetric}} | {{Infobox MOS|name=tetric}} | ||
{{MOS intro}} | {{MOS intro}} | ||
== Modes == | == Modes == | ||
{{MOS mode degrees}} | {{MOS mode degrees}} | ||
== Intervals == | |||
{{MOS intervals}} | |||
== Scale tree == | == Scale tree == | ||
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* Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4) | * Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4) | ||
{{Scale tree|Comments=9/7:[[Hanson]]/[[keemun]];11/8:[[Superkleismic]];10/7:[[Hyperkleismic]];13/8:Golden [[dicot]] (331.672 cents);9/5:[[Sixix]];9/4:[[Mohaha]]/[[mohajira]];12/5:[[Hemif]]/[[hemififths]];13/5;Golden suhajira (354.823 cents);11/4:[[Beatles]];9/2:[[Sephiroth]];6/1:[[Magic]]↓}} | {{Scale tree|Comments=9/7:[[Hanson]]/[[keemun]];11/8:[[Superkleismic]];10/7:[[Hyperkleismic]];13/8:Golden [[dicot]] (331.672 cents);9/5:[[Sixix]];9/4:[[Mohaha]]/[[mohajira]];12/5:[[Hemif]]/[[hemififths]];13/5;Golden suhajira (354.823 cents);11/4:[[Beatles]];9/2:[[Sephiroth]];6/1:[[Magic]]↓}} | ||
[[Category:Tetrad]] | [[Category:Tetrad]] | ||
[[Category:4-tone scales]] | [[Category:4-tone scales]] | ||
Revision as of 23:51, 15 December 2024
| ← 2L 1s | 3L 1s | 4L 1s → |
| ↙ 2L 2s | ↓ 3L 2s | 4L 2s ↘ |
┌╥╥╥┬┐ │║║║││ ││││││ └┴┴┴┴┘
Scale structure
sLLL
Generator size
Related MOS scales
Equal tunings
3L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 300 ¢ to 400 ¢, or from 800 ¢ to 900 ¢. Scales of this form are always proper because there is only one small step.
Modes
| UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | ||||
|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |||
| 3|0 | 1 | LLLs | Perf. | Perf. | Maj. | Aug. | Perf. |
| 2|1 | 2 | LLsL | Perf. | Perf. | Maj. | Perf. | Perf. |
| 1|2 | 3 | LsLL | Perf. | Perf. | Min. | Perf. | Perf. |
| 0|3 | 4 | sLLL | Perf. | Dim. | Min. | Perf. | Perf. |
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 300.0 ¢ |
| Perfect 1-mosstep | P1ms | L | 300.0 ¢ to 400.0 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 400.0 ¢ to 600.0 ¢ |
| Major 2-mosstep | M2ms | 2L | 600.0 ¢ to 800.0 ¢ | |
| 3-mosstep | Perfect 3-mosstep | P3ms | 2L + s | 800.0 ¢ to 900.0 ¢ |
| Augmented 3-mosstep | A3ms | 3L | 900.0 ¢ to 1200.0 ¢ | |
| 4-mosstep | Perfect 4-mosstep | P4ms | 3L + s | 1200.0 ¢ |
Scale tree
Generator ranges:
- Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
- Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)