10L 5s: Difference between revisions

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== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Intervals ==
{{MOS intervals}}
== Scale tree ==
== Scale tree ==
{{Scale tree}} {{stub}}
{{Scale tree}} {{stub}}
[[Category:15-tone scales]]
[[Category:15-tone scales]]

Revision as of 06:48, 15 December 2024

↖ 9L 4s ↑ 10L 4s 11L 4s ↗
← 9L 5s 10L 5s 11L 5s →
↙ 9L 6s ↓ 10L 6s 11L 6s ↘
┌╥╥┬╥╥┬╥╥┬╥╥┬╥╥┬┐
│║║│║║│║║│║║│║║││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLLsLLs
sLLsLLsLLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 1\5 (240.0 ¢)
Generator size
Bright 1\15 to 1\10 (80.0 ¢ to 120.0 ¢)
Dark 1\10 to 2\15 (120.0 ¢ to 160.0 ¢)
TAMNAMS information
Related to 5L 5s (pentawood)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 5L 5s
Sister 5L 10s
Daughters 15L 10s, 10L 15s
Neutralized 5L 10s
2-Flought 25L 5s, 10L 20s
Equal tunings
Equalized (L:s = 1:1) 1\15 (80.0 ¢)
Supersoft (L:s = 4:3) 4\55 (87.3 ¢)
Soft (L:s = 3:2) 3\40 (90.0 ¢)
Semisoft (L:s = 5:3) 5\65 (92.3 ¢)
Basic (L:s = 2:1) 2\25 (96.0 ¢)
Semihard (L:s = 5:2) 5\60 (100.0 ¢)
Hard (L:s = 3:1) 3\35 (102.9 ¢)
Superhard (L:s = 4:1) 4\45 (106.7 ¢)
Collapsed (L:s = 1:0) 1\10 (120.0 ¢)

10L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 5 small steps, with a period of 2 large steps and 1 small step that repeats every 240.0 ¢, or 5 times every octave. 10L 5s is a child scale of 5L 5s, expanding it by 5 tones. Generators that produce this scale range from 80 ¢ to 120 ¢, or from 120 ¢ to 160 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Modes of 10L 5s
UDP Cyclic
order
Step
pattern
10|0(5) 1 LLsLLsLLsLLsLLs
5|5(5) 2 LsLLsLLsLLsLLsL
0|10(5) 3 sLLsLLsLLsLLsLL

Intervals

Intervals of 10L 5s
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 80.0 ¢
Perfect 1-mosstep P1ms L 80.0 ¢ to 120.0 ¢
2-mosstep Perfect 2-mosstep P2ms L + s 120.0 ¢ to 160.0 ¢
Augmented 2-mosstep A2ms 2L 160.0 ¢ to 240.0 ¢
3-mosstep Perfect 3-mosstep P3ms 2L + s 240.0 ¢
4-mosstep Diminished 4-mosstep d4ms 2L + 2s 240.0 ¢ to 320.0 ¢
Perfect 4-mosstep P4ms 3L + s 320.0 ¢ to 360.0 ¢
5-mosstep Perfect 5-mosstep P5ms 3L + 2s 360.0 ¢ to 400.0 ¢
Augmented 5-mosstep A5ms 4L + s 400.0 ¢ to 480.0 ¢
6-mosstep Perfect 6-mosstep P6ms 4L + 2s 480.0 ¢
7-mosstep Diminished 7-mosstep d7ms 4L + 3s 480.0 ¢ to 560.0 ¢
Perfect 7-mosstep P7ms 5L + 2s 560.0 ¢ to 600.0 ¢
8-mosstep Perfect 8-mosstep P8ms 5L + 3s 600.0 ¢ to 640.0 ¢
Augmented 8-mosstep A8ms 6L + 2s 640.0 ¢ to 720.0 ¢
9-mosstep Perfect 9-mosstep P9ms 6L + 3s 720.0 ¢
10-mosstep Diminished 10-mosstep d10ms 6L + 4s 720.0 ¢ to 800.0 ¢
Perfect 10-mosstep P10ms 7L + 3s 800.0 ¢ to 840.0 ¢
11-mosstep Perfect 11-mosstep P11ms 7L + 4s 840.0 ¢ to 880.0 ¢
Augmented 11-mosstep A11ms 8L + 3s 880.0 ¢ to 960.0 ¢
12-mosstep Perfect 12-mosstep P12ms 8L + 4s 960.0 ¢
13-mosstep Diminished 13-mosstep d13ms 8L + 5s 960.0 ¢ to 1040.0 ¢
Perfect 13-mosstep P13ms 9L + 4s 1040.0 ¢ to 1080.0 ¢
14-mosstep Perfect 14-mosstep P14ms 9L + 5s 1080.0 ¢ to 1120.0 ¢
Augmented 14-mosstep A14ms 10L + 4s 1120.0 ¢ to 1200.0 ¢
15-mosstep Perfect 15-mosstep P15ms 10L + 5s 1200.0 ¢

Scale tree

Template:Scale tree

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