8L 2s: Difference between revisions

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→Scale tree: Added scale tree template, transferred all entries (except for unnamed golden tunings)
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== Scale tree ==
== Scale tree ==
Generator ranges:
{{Scale tree|Comments=6/5: [[Quadrasruta]] (sagugu&bizozogu);
* Chroma-positive generator: 120 cents (1\10) to 150 cents (1\8)
13/8: Golden taric (129.9254¢);
* Chroma-negative generator: 450 cents (3\8) to 480 cents (4\10)
2/1: [[Octokaidecal]] is around here;
 
7/2: [[Fifives]]/[[crepuscular]];
{| class="wikitable center-all"
6/1: [[Bisemidim]]}}
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
| 1\10 || || || || || || 120.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 6\58 || 124.138 || 6 || 5 || 1.200 || [[Diaschismic_family#Quadrasruta|Quadrasruta]] (sagugu&bizozogu)
|-
| || || || || 5\48 || || 125.000 || 5 || 4 || 1.250 ||
|-
| || || || || || 9\86 || 125.581 || 9 || 7 || 1.286 ||
|-
| || || || 4\38 || || || 126.316 || 4 || 3 || 1.333 ||
|-
| || || || || || 11\104 || 126.923 || 11 || 8 || 1.375 ||
|-
| || || || || 7\66 || || 127.273 || 7 || 5 || 1.400 ||
|-
| || || || || || 10\94 || 127.660 || 10 || 7 || 1.429 ||
|-
| || || 3\28 || || || || 128.571 || 3 || 2 || 1.500 ||
|-
| || || || || || 11\102 || 129.412 || 11 || 7 || 1.571 ||
|-
| || || || || 8\74 || || 129.730 || 8 || 5 || 1.600 ||
|-
| || || || || || 13\120 || 130.000 || 13 || 8 || 1.625 || Golden taric (129.9254¢)
|-
| || || || 5\46 || || || 130.435 || 5 || 3 || 1.667 ||
|-
| || || || || || 12\110 || 130.909 || 12 || 7 || 1.714 ||
|-
| || || || || 7\64 || || 131.250 || 7 || 4 || 1.750 ||
|-
| || || || || || 9\82 || 131.707 || 9 || 5 || 1.800 ||
|-
| || 2\18 || || || || || 133.333 || 2 || 1 || 2.000 || Basic taric <br>[[Octokaidecal]] is around here
|-
| || || || || || 9\80 || 135.000 || 9 || 4 || 2.250 ||
|-
| || || || || 7\62 || || 135.484 || 7 || 3 || 2.333 ||
|-
| || || || || || 12\106 || 135.849 || 12 || 5 || 2.400 ||
|-
| || || || 5\44 || || || 136.364 || 5 || 2 || 2.500 ||
|-
| || || || || || 13\114 || 136.842 || 13 || 5 || 2.600 || Unnamed golden tuning (136.9248¢)
|-
| || || || || 8\70 || || 137.143 || 8 || 3 || 2.667 ||
|-
| || || || || || 11\96 || 137.500 || 11 || 4 || 2.750 ||
|-
| || || 3\26 || || || || 138.462 || 3 || 1 || 3.000 ||
|-
| || || || || || 10\86 || 139.535 || 10 || 3 || 3.333 ||
|-
| || || || || 7\60 || || 140.000 || 7 || 2 || 3.500 || [[Fifive_family#Fifives|Fifives]]/[[Crepuscular]]
|-
| || || || || || 11\94 || 140.426 || 11 || 3 || 3.667 ||
|-
| || || || 4\34 || || || 141.176 || 4 || 1 || 4.000 ||
|-
| || || || || || 9\76 || 142.105 || 9 || 2 || 4.500 ||
|-
| || || || || 5\42 || || 142.857 || 5 || 1 || 5.000 ||
|-
| || || || || || 6\50 || 144.000 || 6 || 1 || 6.000 || [[Starling_temperaments#Bisemidim|Bisemidim]]
|-
| 1\8 || || || || || || 150.000 || 1 || 0 || → inf ||
|}
 
[[Category:10-tone scales]]
[[Category:10-tone scales]]

Revision as of 07:19, 25 April 2024

↖ 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 ¢)
View • Talk • Edit

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.

Modes

  • 8|0(2) LLLLsLLLLs
  • 6|2(2) LLLsLLLLsL
  • 4|4(2) LLsLLLLsLL
  • 2|6(2) LsLLLLsLLL
  • 0|8(2) sLLLLsLLLL

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
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