4L 6s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖ 3L 5s ↑4L 5s 5L 5s ↗
← 3L 6s4L 6s 5L 6s →
↙ 3L 7s ↓4L 7s 5L 7s ↘
┌╥┬╥┬┬╥┬╥┬┬┐
│║│║││║│║│││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLsLss
ssLsLssLsL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 2\10 to 1\4 (240.0¢ to 300.0¢)
Dark 1\4 to 3\10 (300.0¢ to 360.0¢)
TAMNAMS information
Name lime
Prefix lime-
Abbrev. lime
Related MOS scales
Parent 4L 2s
Sister 6L 4s
Daughters 10L 4s, 4L 10s
Neutralized 8L 2s
2-Flought 14L 6s, 4L 16s
Equal tunings
Equalized (L:s = 1:1) 2\10 (240.0¢)
Supersoft (L:s = 4:3) 7\34 (247.1¢)
Soft (L:s = 3:2) 5\24 (250.0¢)
Semisoft (L:s = 5:3) 8\38 (252.6¢)
Basic (L:s = 2:1) 3\14 (257.1¢)
Semihard (L:s = 5:2) 7\32 (262.5¢)
Hard (L:s = 3:1) 4\18 (266.7¢)
Superhard (L:s = 4:1) 5\22 (272.7¢)
Collapsed (L:s = 1:0) 1\4 (300.0¢)

4L 6s, named lime in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 6 small steps, with a period of 2 large steps and 3 small steps that repeats every 600.0¢, or twice every octave. Generators that produce this scale range from 240¢ to 300¢, or from 300¢ to 360¢.

Modes

Modes of 4L 6s
UDP Rotational order Step pattern
8|0(2) 1 LsLssLsLss
6|2(2) 3 LssLsLssLs
4|4(2) 5 sLsLssLsLs
2|6(2) 2 sLssLsLssL
0|8(2) 4 ssLsLssLsL

Scale tree

Scale Tree and Tuning Spectrum of 4L 6s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
2\10 240.000 360.000 1:1 1.000 Equalized 4L 6s
11\54 244.444 355.556 6:5 1.200 Semiseptiquarter ↑
9\44 245.455 354.545 5:4 1.250
16\78 246.154 353.846 9:7 1.286
7\34 247.059 352.941 4:3 1.333 Supersoft 4L 6s
Hemifourths/angirus
19\92 247.826 352.174 11:8 1.375
12\58 248.276 351.724 7:5 1.400 Sruti
17\82 248.780 351.220 10:7 1.429 Semihemi
5\24 250.000 350.000 3:2 1.500 Soft 4L 6s
Decimal is around here
18\86 251.163 348.837 11:7 1.571
13\62 251.613 348.387 8:5 1.600
21\100 252.000 348.000 13:8 1.625
8\38 252.632 347.368 5:3 1.667 Semisoft 4L 6s
19\90 253.333 346.667 12:7 1.714
11\52 253.846 346.154 7:4 1.750
14\66 254.545 345.455 9:5 1.800
3\14 257.143 342.857 2:1 2.000 Basic 4L 6s
Scales with tunings softer than this are proper
13\60 260.000 340.000 9:4 2.250
10\46 260.870 339.130 7:3 2.333 Bamity
17\78 261.538 338.462 12:5 2.400
7\32 262.500 337.500 5:2 2.500 Semihard 4L 6s
18\82 263.415 336.585 13:5 2.600
11\50 264.000 336.000 8:3 2.667
15\68 264.706 335.294 11:4 2.750
4\18 266.667 333.333 3:1 3.000 Hard 4L 6s
13\58 268.966 331.034 10:3 3.333
9\40 270.000 330.000 7:2 3.500
14\62 270.968 329.032 11:3 3.667
5\22 272.727 327.273 4:1 4.000 Superhard 4L 6s
11\48 275.000 325.000 9:2 4.500 Doublewide
6\26 276.923 323.077 5:1 5.000
7\30 280.000 320.000 6:1 6.000 Bikleismic ↓
1\4 300.000 300.000 1:0 → ∞ Collapsed 4L 6s