6L 4s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Ganaram inukshuk (talk | contribs)
Adopt mos mode degrees template
BudjarnLambeth (talk | contribs)
m == Intervals == {{MOS intervals}}
Line 11: Line 11:
{{MOS intro}}
{{MOS intro}}
Supported temperaments include [[antikythera]], [[lemba]], and [[echidnic]].
Supported temperaments include [[antikythera]], [[lemba]], and [[echidnic]].
== Intervals ==
{{MOS intervals}}


== Modes ==
== Modes ==
Line 22: Line 25:
3/1: Antikythera/astrology;
3/1: Antikythera/astrology;
10/3: Wizard}}
10/3: Wizard}}
{{todo|expand}}
[[Category:lemon| ]]
[[Category:lemon| ]]
[[Category:10-tone scales]]
[[Category:10-tone scales]]
  <!-- main article -->
  <!-- main article -->

Revision as of 01:04, 16 December 2024

↖ 5L 3s ↑ 6L 3s 7L 3s ↗
← 5L 4s 6L 4s 7L 4s →
↙ 5L 5s ↓ 6L 5s 7L 5s ↘
┌╥╥┬╥┬╥╥┬╥┬┐
│║║│║│║║│║││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLLsLs
sLsLLsLsLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 3\10 to 2\6 (360.0 ¢ to 400.0 ¢)
Dark 1\6 to 2\10 (200.0 ¢ to 240.0 ¢)
TAMNAMS information
Name lemon
Prefix lem-
Abbrev. le
Related MOS scales
Parent 4L 2s
Sister 4L 6s
Daughters 10L 6s, 6L 10s
Neutralized 2L 8s
2-Flought 16L 4s, 6L 14s
Equal tunings
Equalized (L:s = 1:1) 3\10 (360.0 ¢)
Supersoft (L:s = 4:3) 11\36 (366.7 ¢)
Soft (L:s = 3:2) 8\26 (369.2 ¢)
Semisoft (L:s = 5:3) 13\42 (371.4 ¢)
Basic (L:s = 2:1) 5\16 (375.0 ¢)
Semihard (L:s = 5:2) 12\38 (378.9 ¢)
Hard (L:s = 3:1) 7\22 (381.8 ¢)
Superhard (L:s = 4:1) 9\28 (385.7 ¢)
Collapsed (L:s = 1:0) 2\6 (400.0 ¢)

6L 4s, named lemon in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 4 small steps, with a period of 3 large steps and 2 small steps that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 360 ¢ to 400 ¢, or from 200 ¢ to 240 ¢. Supported temperaments include antikythera, lemba, and echidnic.

Intervals

Intervals of 6L 4s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-lemstep Perfect 0-lemstep P0les 0 0.0 ¢
1-lemstep Minor 1-lemstep m1les s 0.0 ¢ to 120.0 ¢
Major 1-lemstep M1les L 120.0 ¢ to 200.0 ¢
2-lemstep Perfect 2-lemstep P2les L + s 200.0 ¢ to 240.0 ¢
Augmented 2-lemstep A2les 2L 240.0 ¢ to 400.0 ¢
3-lemstep Diminished 3-lemstep d3les L + 2s 200.0 ¢ to 360.0 ¢
Perfect 3-lemstep P3les 2L + s 360.0 ¢ to 400.0 ¢
4-lemstep Minor 4-lemstep m4les 2L + 2s 400.0 ¢ to 480.0 ¢
Major 4-lemstep M4les 3L + s 480.0 ¢ to 600.0 ¢
5-lemstep Perfect 5-lemstep P5les 3L + 2s 600.0 ¢
6-lemstep Minor 6-lemstep m6les 3L + 3s 600.0 ¢ to 720.0 ¢
Major 6-lemstep M6les 4L + 2s 720.0 ¢ to 800.0 ¢
7-lemstep Perfect 7-lemstep P7les 4L + 3s 800.0 ¢ to 840.0 ¢
Augmented 7-lemstep A7les 5L + 2s 840.0 ¢ to 1000.0 ¢
8-lemstep Diminished 8-lemstep d8les 4L + 4s 800.0 ¢ to 960.0 ¢
Perfect 8-lemstep P8les 5L + 3s 960.0 ¢ to 1000.0 ¢
9-lemstep Minor 9-lemstep m9les 5L + 4s 1000.0 ¢ to 1080.0 ¢
Major 9-lemstep M9les 6L + 3s 1080.0 ¢ to 1200.0 ¢
10-lemstep Perfect 10-lemstep P10les 6L + 4s 1200.0 ¢

Modes

Scale degrees of the modes of 6L 4s
UDP Cyclic
order
Step
pattern
Scale degree (lemdegree)
0 1 2 3 4 5 6 7 8 9 10
8|0(2) 1 LLsLsLLsLs Perf. Maj. Aug. Perf. Maj. Perf. Maj. Aug. Perf. Maj. Perf.
6|2(2) 4 LsLLsLsLLs Perf. Maj. Perf. Perf. Maj. Perf. Maj. Perf. Perf. Maj. Perf.
4|4(2) 2 LsLsLLsLsL Perf. Maj. Perf. Perf. Min. Perf. Maj. Perf. Perf. Min. Perf.
2|6(2) 5 sLLsLsLLsL Perf. Min. Perf. Perf. Min. Perf. Min. Perf. Perf. Min. Perf.
0|8(2) 3 sLsLLsLsLL Perf. Min. Perf. Dim. Min. Perf. Min. Perf. Dim. Min. Perf.

Scale tree

Template:Scale tree