SandBox

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Intervals

Intervals of 5L 2s
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

Generator chain of 5L 2s
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

Scale degrees of the modes of 5L 2s
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.