8L 2s

Revision as of 12:31, 17 November 2024 by BudjarnLambeth (talk | contribs) (Add intervals)

8L 2s, named taric in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 2 small steps, with a period of 4 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 120 ¢ to 150 ¢, or from 450 ¢ to 480 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

↖ 7L 1s ↑ 8L 1s 9L 1s ↗
← 7L 2s 8L 2s 9L 2s →
↙ 7L 3s ↓ 8L 3s 9L 3s ↘
Scale structure
Step pattern LLLLsLLLLs
sLLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\10 to 1\8 (120.0 ¢ to 150.0 ¢)
Dark 3\8 to 4\10 (450.0 ¢ to 480.0 ¢)
TAMNAMS information
Name taric
Prefix tara-
Abbrev. ta
Related MOS scales
Parent 2L 6s
Sister 2L 8s
Daughters 10L 8s, 8L 10s
Neutralized 6L 4s
2-Flought 18L 2s, 8L 12s
Equal tunings
Equalized (L:s = 1:1) 1\10 (120.0 ¢)
Supersoft (L:s = 4:3) 4\38 (126.3 ¢)
Soft (L:s = 3:2) 3\28 (128.6 ¢)
Semisoft (L:s = 5:3) 5\46 (130.4 ¢)
Basic (L:s = 2:1) 2\18 (133.3 ¢)
Semihard (L:s = 5:2) 5\44 (136.4 ¢)
Hard (L:s = 3:1) 3\26 (138.5 ¢)
Superhard (L:s = 4:1) 4\34 (141.2 ¢)
Collapsed (L:s = 1:0) 1\8 (150.0 ¢)
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Intervals

Intervals of 8L 2s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-tarastep Perfect 0-tarastep P0tas 0 0.0 ¢
1-tarastep Diminished 1-tarastep d1tas s 0.0 ¢ to 120.0 ¢
Perfect 1-tarastep P1tas L 120.0 ¢ to 150.0 ¢
2-tarastep Minor 2-tarastep m2tas L + s 150.0 ¢ to 240.0 ¢
Major 2-tarastep M2tas 2L 240.0 ¢ to 300.0 ¢
3-tarastep Minor 3-tarastep m3tas 2L + s 300.0 ¢ to 360.0 ¢
Major 3-tarastep M3tas 3L 360.0 ¢ to 450.0 ¢
4-tarastep Perfect 4-tarastep P4tas 3L + s 450.0 ¢ to 480.0 ¢
Augmented 4-tarastep A4tas 4L 480.0 ¢ to 600.0 ¢
5-tarastep Perfect 5-tarastep P5tas 4L + s 600.0 ¢
6-tarastep Diminished 6-tarastep d6tas 4L + 2s 600.0 ¢ to 720.0 ¢
Perfect 6-tarastep P6tas 5L + s 720.0 ¢ to 750.0 ¢
7-tarastep Minor 7-tarastep m7tas 5L + 2s 750.0 ¢ to 840.0 ¢
Major 7-tarastep M7tas 6L + s 840.0 ¢ to 900.0 ¢
8-tarastep Minor 8-tarastep m8tas 6L + 2s 900.0 ¢ to 960.0 ¢
Major 8-tarastep M8tas 7L + s 960.0 ¢ to 1050.0 ¢
9-tarastep Perfect 9-tarastep P9tas 7L + 2s 1050.0 ¢ to 1080.0 ¢
Augmented 9-tarastep A9tas 8L + s 1080.0 ¢ to 1200.0 ¢
10-tarastep Perfect 10-tarastep P10tas 8L + 2s 1200.0 ¢

Modes

Scale degrees of the modes of 8L 2s
UDP Cyclic
order
Step
pattern
Scale degree (taradegree)
0 1 2 3 4 5 6 7 8 9 10
8|0(2) 1 LLLLsLLLLs Perf. Perf. Maj. Maj. Aug. Perf. Perf. Maj. Maj. Aug. Perf.
6|2(2) 2 LLLsLLLLsL Perf. Perf. Maj. Maj. Perf. Perf. Perf. Maj. Maj. Perf. Perf.
4|4(2) 3 LLsLLLLsLL Perf. Perf. Maj. Min. Perf. Perf. Perf. Maj. Min. Perf. Perf.
2|6(2) 4 LsLLLLsLLL Perf. Perf. Min. Min. Perf. Perf. Perf. Min. Min. Perf. Perf.
0|8(2) 5 sLLLLsLLLL Perf. Dim. Min. Min. Perf. Perf. Dim. Min. Min. Perf. Perf.

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 8L 2s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\10 120.000 480.000 1:1 1.000 Equalized 8L 2s
6\58 124.138 475.862 6:5 1.200
5\48 125.000 475.000 5:4 1.250
9\86 125.581 474.419 9:7 1.286
4\38 126.316 473.684 4:3 1.333 Supersoft 8L 2s
11\104 126.923 473.077 11:8 1.375
7\66 127.273 472.727 7:5 1.400
10\94 127.660 472.340 10:7 1.429
3\28 128.571 471.429 3:2 1.500 Soft 8L 2s
11\102 129.412 470.588 11:7 1.571
8\74 129.730 470.270 8:5 1.600
13\120 130.000 470.000 13:8 1.625
5\46 130.435 469.565 5:3 1.667 Semisoft 8L 2s
12\110 130.909 469.091 12:7 1.714
7\64 131.250 468.750 7:4 1.750
9\82 131.707 468.293 9:5 1.800
2\18 133.333 466.667 2:1 2.000 Basic 8L 2s
9\80 135.000 465.000 9:4 2.250
7\62 135.484 464.516 7:3 2.333
12\106 135.849 464.151 12:5 2.400
5\44 136.364 463.636 5:2 2.500 Semihard 8L 2s
13\114 136.842 463.158 13:5 2.600
8\70 137.143 462.857 8:3 2.667
11\96 137.500 462.500 11:4 2.750
3\26 138.462 461.538 3:1 3.000 Hard 8L 2s
10\86 139.535 460.465 10:3 3.333
7\60 140.000 460.000 7:2 3.500
11\94 140.426 459.574 11:3 3.667
4\34 141.176 458.824 4:1 4.000 Superhard 8L 2s
9\76 142.105 457.895 9:2 4.500
5\42 142.857 457.143 5:1 5.000
6\50 144.000 456.000 6:1 6.000
1\8 150.000 450.000 1:0 → ∞ Collapsed 8L 2s