4L 6s: Difference between revisions

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→Scale tree: Add scale tree template, transferred entries (except for unnamed golden tunings)
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{{MOS modes}}
{{MOS modes}}
== Scale tree ==
== Scale tree ==
{| class="wikitable center-all"
{{Scale tree|Comments=6/5: Semiseptiquarter ↑;
! colspan="6" | Generator
4/3: Hemifourths/angirus;
! Cents
7/5: Sruti;
! L
10/7: Semihemi;
! s
3/2: Decimal is around here;
! L/s
7/3: Bamity;
! Comments
9/2: Doublewide;
|-
6/1: Bikleismic ↓}}
| 2\10 || || || || || || 240.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 11\54 || 244.444 || 6 || 5 || 1.200 || Semiseptiquarter↑
|-
| || || || || 9\44 || || 245.455 || 5 || 4 || 1.250 ||
|-
| || || || || || 16\78 || 246.154 || 9 || 7 || 1.286 ||
|-
| || || || 7\34 || || || 247.059 || 4 || 3 || 1.333 || Hemifourths/anguirus
|-
| || || || || || 19\92 || 247.826 || 11 || 8 || 1.375 ||
|-
| || || || || 12\58 || || 248.276 || 7 || 5 || 1.400 || Sruti
|-
| || || || || || 17\82 || 248.780 || 10 || 7 || 1.428 || Semihemi
|-
| || || 5\24 || || || || 250.000 || 3 || 2 || 1.500 || L/s = 3/2, decimal is around here
|-
| || || || || || 18\86 || 251.163 || 11 || 7 || 1.571 ||
|-
| || || || || 13\62 || || 251.613 || 8 || 5 || 1.600 ||
|-
| || || || || || 21\100 || 252.000 || 13 || 8 || 1.625 || Unnamed golden tuning
|-
| || || || 8\38 || || || 252.632 || 5 || 3 || 1.667 ||
|-
| || || || || || 19\90 || 253.333 || 12 || 7 || 1.714 ||
|-
| || || || || 11\52 || || 253.846 || 7 || 4 || 1.750 ||
|-
| || || || || || 14\66 || 254.545 || 9 || 5 || 1.800 ||
|-
| || 3\14 || || || || || 257.143 || 2 || 1 || 2.000 || Basic lime<br>(Generators smaller than this are proper)
|-
| || || || || || 13\60 || 260.000 || 9 || 4 || 2.250 ||
|-
| || || || || 10\46 || || 260.870 || 7 || 3 || 2.333 || Bamity
|-
| || || || || || 17\78 || 261.538 || 12 || 5 || 2.400 ||
|-
| || || || 7\32 || || || 262.500 || 5 || 2 || 2.500 ||
|-
| || || || || || 18\82 || 263.415 || 13 || 5 || 2.600 || Unnamed golden tuning
|-
| || || || || 11\50 || || 264.000 || 8 || 3 || 2.667 ||
|-
| || || || || || 15\68 || 264.706 || 11 || 4 || 2.750 ||
|-
| || || 4\18 || || || || 266.667 || 3 || 1 || 3.000 || L/s = 3/1
|-
| || || || || || 13\58 || 268.966 || 10 || 3 || 3.333 ||
|-
| || || || || 9\40 || || 270.000 || 7 || 2 || 3.500 ||
|-
| || || || || || 14\62 || 270.968 || 11 || 3 || 3.667 ||
|-
| || || || 5\22 || || || 272.727 || 4 || 1 || 4.000 ||
|-
| || || || || || 11\48 || 275.000 || 9 || 2 || 4.500 || Doublewide
|-
| || || || || 6\26 || || 276.923 || 5 || 1 || 5.000 ||
|-
| || || || || || 7\30 || 280.000 || 6 || 1 || 6.000 || Bikleismic↓
|-
| 1\4 || || || || || || 300.000 || 1 || 0 || → inf ||
|}
 
[[Category:lime| ]]
[[Category:lime| ]]
[[Category:10-tone scales]]
[[Category:10-tone scales]]
  <!-- main article -->
  <!-- main article -->

Revision as of 07:37, 25 April 2024

↖ 3L 5s ↑ 4L 5s 5L 5s ↗
← 3L 6s 4L 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. lm
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 ¢)
View • Talk • Edit

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 Cyclic
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

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


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
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
19\92 247.826 352.174 11:8 1.375
12\58 248.276 351.724 7:5 1.400
17\82 248.780 351.220 10:7 1.429
5\24 250.000 350.000 3:2 1.500 Soft 4L 6s
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
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
6\26 276.923 323.077 5:1 5.000
7\30 280.000 320.000 6:1 6.000
1\4 300.000 300.000 1:0 → ∞ Collapsed 4L 6s
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