SandBox
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This is the sandbox. To experiment with editing, click on the [Edit] tab.
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-diastep | Perfect 0-diastep | P0dias | 0 | 0.0 ¢ |
| 1-diastep | Minor 1-diastep | m1dias | s | 0.0 ¢ to 171.4 ¢ |
| Major 1-diastep | M1dias | L | 171.4 ¢ to 240.0 ¢ | |
| 2-diastep | Minor 2-diastep | m2dias | L + s | 240.0 ¢ to 342.9 ¢ |
| Major 2-diastep | M2dias | 2L | 342.9 ¢ to 480.0 ¢ | |
| 3-diastep | Perfect 3-diastep | P3dias | 2L + s | 480.0 ¢ to 514.3 ¢ |
| Augmented 3-diastep | A3dias | 3L | 514.3 ¢ to 720.0 ¢ | |
| 4-diastep | Diminished 4-diastep | d4dias | 2L + 2s | 480.0 ¢ to 685.7 ¢ |
| Perfect 4-diastep | P4dias | 3L + s | 685.7 ¢ to 720.0 ¢ | |
| 5-diastep | Minor 5-diastep | m5dias | 3L + 2s | 720.0 ¢ to 857.1 ¢ |
| Major 5-diastep | M5dias | 4L + s | 857.1 ¢ to 960.0 ¢ | |
| 6-diastep | Minor 6-diastep | m6dias | 4L + 2s | 960.0 ¢ to 1028.6 ¢ |
| Major 6-diastep | M6dias | 5L + s | 1028.6 ¢ to 1200.0 ¢ | |
| 7-diastep | Perfect 7-diastep | P7dias | 5L + 2s | 1200.0 ¢ |
Generator chain
| Bright gens | Scale degree | Abbrev. |
|---|---|---|
| 11 | Augmented 2-diadegree | A2diad |
| 10 | Augmented 5-diadegree | A5diad |
| 9 | Augmented 1-diadegree | A1diad |
| 8 | Augmented 4-diadegree | A4diad |
| 7 | Augmented 0-diadegree | A0diad |
| 6 | Augmented 3-diadegree | A3diad |
| 5 | Major 6-diadegree | M6diad |
| 4 | Major 2-diadegree | M2diad |
| 3 | Major 5-diadegree | M5diad |
| 2 | Major 1-diadegree | M1diad |
| 1 | Perfect 4-diadegree | P4diad |
| 0 | Perfect 0-diadegree Perfect 7-diadegree |
P0diad P7diad |
| −1 | Perfect 3-diadegree | P3diad |
| −2 | Minor 6-diadegree | m6diad |
| −3 | Minor 2-diadegree | m2diad |
| −4 | Minor 5-diadegree | m5diad |
| −5 | Minor 1-diadegree | m1diad |
| −6 | Diminished 4-diadegree | d4diad |
| −7 | Diminished 7-diadegree | d7diad |
| −8 | Diminished 3-diadegree | d3diad |
| −9 | Diminished 6-diadegree | d6diad |
| −10 | Diminished 2-diadegree | d2diad |
| −11 | Diminished 5-diadegree | d5diad |
Modes
| UDP | Cyclic order |
Step pattern |
Scale degree (diadegree) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
| 6|0 | 1 | LLLsLLs | Perf. | Maj. | Maj. | Aug. | Perf. | Maj. | Maj. | Perf. |
| 5|1 | 5 | LLsLLLs | Perf. | Maj. | Maj. | Perf. | Perf. | Maj. | Maj. | Perf. |
| 4|2 | 2 | LLsLLsL | Perf. | Maj. | Maj. | Perf. | Perf. | Maj. | Min. | Perf. |
| 3|3 | 6 | LsLLLsL | Perf. | Maj. | Min. | Perf. | Perf. | Maj. | Min. | Perf. |
| 2|4 | 3 | LsLLsLL | Perf. | Maj. | Min. | Perf. | Perf. | Min. | Min. | Perf. |
| 1|5 | 7 | sLLLsLL | Perf. | Min. | Min. | Perf. | Perf. | Min. | Min. | Perf. |
| 0|6 | 4 | sLLsLLL | Perf. | Min. | Min. | Perf. | Dim. | Min. | Min. | Perf. |