2L 19s: Difference between revisions

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Mos intro, infobox mos
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{{MOS intro}}
{{MOS intro}}
This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).
This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).
 
{{Scale tree}}
{| class="wikitable"
|-
| | 1/2
| |
| |
| |
| |
| | 600
|-
| |
| |
| |
| |
| | 14/29
| | 579.31
|-
| |
| |
| |
| | 13/27
| |
| | 577.778
|-
| |
| |
| |
| |
| | 25/52
| | 576.923
|-
| |
| |
| |
| |
| |
| | 576.269
|-
| |
| |
| | 12/25
| |
| |
| | 576
|-
| |
| |
| |
| |
| |
| | 575.447
|-
| |
| |
| |
| |
| | 35/73
| | 575.3425
|-
| |
| |
| |
| |
| |
| | 575.2435
|-
| |
| |
| |
| | 23/48
| |
| | 575
|-
| |
| |
| |
| |
| | 34/71
| | 574.648
|-
| |
| | 11/23
| |
| |
| |
| | 573.913
|-
| |
| |
| |
| |
| | 43/90
| | 573.333
|-
| |
| |
| |
| |
| |
| | 573.291
|-
| |
| |
| |
| | 32/67
| |
| | 573.134
|-
| |
| |
| |
| |
| |
| | 573.017
|-
| |
| |
| |
| |
| | 53/111
| | 572.973
|-
| |
| |
| |
| |
| |
| | 572.902
|-
| |
| |
| | 21/44
| |
| |
| | 572.727
|-
| |
| |
| |
| |
| | 52/109
| | 572.477
|-
| |
| |
| |
| | 31/65
| |
| | 572.308
|-
| |
| |
| |
| |
| | 41/86
| | 572.093
|-
| | 10/21
| |
| |
| |
| |
| | 571.429
|}
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]

Revision as of 20:06, 29 February 2024

↖ 1L 18s ↑ 2L 18s 3L 18s ↗
← 1L 19s 2L 19s 3L 19s →
↙ 1L 20s ↓ 2L 20s 3L 20s ↘
Scale structure
Step pattern LsssssssssLssssssssss
ssssssssssLsssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 10\21 to 1\2 (571.4 ¢ to 600.0 ¢)
Dark 1\2 to 11\21 (600.0 ¢ to 628.6 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 7:1 to 1:0
Related MOS scales
Parent 2L 17s
Sister 19L 2s
Daughters 21L 2s, 2L 21s
Neutralized 4L 17s
2-Flought 23L 19s, 2L 40s
Equal tunings
Equalized (L:s = 1:1) 10\21 (571.4 ¢)
Supersoft (L:s = 4:3) 31\65 (572.3 ¢)
Soft (L:s = 3:2) 21\44 (572.7 ¢)
Semisoft (L:s = 5:3) 32\67 (573.1 ¢)
Basic (L:s = 2:1) 11\23 (573.9 ¢)
Semihard (L:s = 5:2) 23\48 (575.0 ¢)
Hard (L:s = 3:1) 12\25 (576.0 ¢)
Superhard (L:s = 4:1) 13\27 (577.8 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)
View • Talk • Edit

2L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 19 small steps, repeating every octave. 2L 19s is related to 2L 7s, expanding it by 12 tones. Generators that produce this scale range from 571.4 ¢ to 600 ¢, or from 600 ¢ to 628.6 ¢. This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).

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 2L 19s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
10\21 571.429 628.571 1:1 1.000 Equalized 2L 19s
51\107 571.963 628.037 6:5 1.200
41\86 572.093 627.907 5:4 1.250
72\151 572.185 627.815 9:7 1.286
31\65 572.308 627.692 4:3 1.333 Supersoft 2L 19s
83\174 572.414 627.586 11:8 1.375
52\109 572.477 627.523 7:5 1.400
73\153 572.549 627.451 10:7 1.429
21\44 572.727 627.273 3:2 1.500 Soft 2L 19s
74\155 572.903 627.097 11:7 1.571
53\111 572.973 627.027 8:5 1.600
85\178 573.034 626.966 13:8 1.625
32\67 573.134 626.866 5:3 1.667 Semisoft 2L 19s
75\157 573.248 626.752 12:7 1.714
43\90 573.333 626.667 7:4 1.750
54\113 573.451 626.549 9:5 1.800
11\23 573.913 626.087 2:1 2.000 Basic 2L 19s
Scales with tunings softer than this are proper
45\94 574.468 625.532 9:4 2.250
34\71 574.648 625.352 7:3 2.333
57\119 574.790 625.210 12:5 2.400
23\48 575.000 625.000 5:2 2.500 Semihard 2L 19s
58\121 575.207 624.793 13:5 2.600
35\73 575.342 624.658 8:3 2.667
47\98 575.510 624.490 11:4 2.750
12\25 576.000 624.000 3:1 3.000 Hard 2L 19s
37\77 576.623 623.377 10:3 3.333
25\52 576.923 623.077 7:2 3.500
38\79 577.215 622.785 11:3 3.667
13\27 577.778 622.222 4:1 4.000 Superhard 2L 19s
27\56 578.571 621.429 9:2 4.500
14\29 579.310 620.690 5:1 5.000
15\31 580.645 619.355 6:1 6.000
1\2 600.000 600.000 1:0 → ∞ Collapsed 2L 19s
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