1L 14s: Difference between revisions

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Scale tree: correction (+sycamore, move unicorn)
Line 20: Line 20:
{{Scale tree|Comments=
{{Scale tree|Comments=
7/5: ↕ [[Valentine]];  
7/5: ↕ [[Valentine]];  
13/8: Unnamed golden tuning;
13/5: Unnamed golden tuning;
9/2: [[Sycamore]], [[betic]];  
9/2: [[Sycamore]], [[betic]];  
5/1: [[Unicorn]], [[rhinoceros]];  
5/1: [[Unicorn]], [[rhinoceros]];  

Revision as of 08:55, 21 December 2024

↑ 1L 13s 2L 13s ↗
1L 14s 2L 14s →
↓ 1L 15s 2L 15s ↘
Scale structure
Step pattern Lssssssssssssss
ssssssssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 14\15 to 1\1 (1120.0 ¢ to 1200.0 ¢)
Dark 0\1 to 1\15 (0.0 ¢ to 80.0 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 6:1 to 1:0
Related MOS scales
Parent 1L 13s
Sister 14L 1s
Daughters 15L 1s, 1L 15s
Neutralized 2L 13s
2-Flought 16L 14s, 1L 29s
Equal tunings
Equalized (L:s = 1:1) 14\15 (1120.0 ¢)
Supersoft (L:s = 4:3) 43\46 (1121.7 ¢)
Soft (L:s = 3:2) 29\31 (1122.6 ¢)
Semisoft (L:s = 5:3) 44\47 (1123.4 ¢)
Basic (L:s = 2:1) 15\16 (1125.0 ¢)
Semihard (L:s = 5:2) 31\33 (1127.3 ¢)
Hard (L:s = 3:1) 16\17 (1129.4 ¢)
Superhard (L:s = 4:1) 17\18 (1133.3 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)
ViewTalkEdit

1L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 14 small steps, repeating every octave. 1L 14s is related to 1L 9s, expanding it by 5 tones. Generators that produce this scale range from 1120 ¢ to 1200 ¢, or from 0 ¢ to 80 ¢.

Valentine temperament, with generators around 77.8¢, maps the interval of 3/2 to +9 dark generators.

Modes

Modes of 1L 14s
UDP Cyclic
order
Step
pattern
14|0 1 Lssssssssssssss
13|1 15 sLsssssssssssss
12|2 14 ssLssssssssssss
11|3 13 sssLsssssssssss
10|4 12 ssssLssssssssss
9|5 11 sssssLsssssssss
8|6 10 ssssssLssssssss
7|7 9 sssssssLsssssss
6|8 8 ssssssssLssssss
5|9 7 sssssssssLsssss
4|10 6 ssssssssssLssss
3|11 5 sssssssssssLsss
2|12 4 ssssssssssssLss
1|13 3 sssssssssssssLs
0|14 2 ssssssssssssssL

Intervals

Intervals of 1L 14s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Perfect 1-mosstep P1ms s 0.0 ¢ to 80.0 ¢
Augmented 1-mosstep A1ms L 80.0 ¢ to 1200.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 160.0 ¢
Major 2-mosstep M2ms L + s 160.0 ¢ to 1200.0 ¢
3-mosstep Minor 3-mosstep m3ms 3s 0.0 ¢ to 240.0 ¢
Major 3-mosstep M3ms L + 2s 240.0 ¢ to 1200.0 ¢
4-mosstep Minor 4-mosstep m4ms 4s 0.0 ¢ to 320.0 ¢
Major 4-mosstep M4ms L + 3s 320.0 ¢ to 1200.0 ¢
5-mosstep Minor 5-mosstep m5ms 5s 0.0 ¢ to 400.0 ¢
Major 5-mosstep M5ms L + 4s 400.0 ¢ to 1200.0 ¢
6-mosstep Minor 6-mosstep m6ms 6s 0.0 ¢ to 480.0 ¢
Major 6-mosstep M6ms L + 5s 480.0 ¢ to 1200.0 ¢
7-mosstep Minor 7-mosstep m7ms 7s 0.0 ¢ to 560.0 ¢
Major 7-mosstep M7ms L + 6s 560.0 ¢ to 1200.0 ¢
8-mosstep Minor 8-mosstep m8ms 8s 0.0 ¢ to 640.0 ¢
Major 8-mosstep M8ms L + 7s 640.0 ¢ to 1200.0 ¢
9-mosstep Minor 9-mosstep m9ms 9s 0.0 ¢ to 720.0 ¢
Major 9-mosstep M9ms L + 8s 720.0 ¢ to 1200.0 ¢
10-mosstep Minor 10-mosstep m10ms 10s 0.0 ¢ to 800.0 ¢
Major 10-mosstep M10ms L + 9s 800.0 ¢ to 1200.0 ¢
11-mosstep Minor 11-mosstep m11ms 11s 0.0 ¢ to 880.0 ¢
Major 11-mosstep M11ms L + 10s 880.0 ¢ to 1200.0 ¢
12-mosstep Minor 12-mosstep m12ms 12s 0.0 ¢ to 960.0 ¢
Major 12-mosstep M12ms L + 11s 960.0 ¢ to 1200.0 ¢
13-mosstep Minor 13-mosstep m13ms 13s 0.0 ¢ to 1040.0 ¢
Major 13-mosstep M13ms L + 12s 1040.0 ¢ to 1200.0 ¢
14-mosstep Diminished 14-mosstep d14ms 14s 0.0 ¢ to 1120.0 ¢
Perfect 14-mosstep P14ms L + 13s 1120.0 ¢ to 1200.0 ¢
15-mosstep Perfect 15-mosstep P15ms L + 14s 1200.0 ¢

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 1L 14s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
14\15 1120.000 80.000 1:1 1.000 Equalized 1L 14s
71\76 1121.053 78.947 6:5 1.200
57\61 1121.311 78.689 5:4 1.250
100\107 1121.495 78.505 9:7 1.286
43\46 1121.739 78.261 4:3 1.333 Supersoft 1L 14s
115\123 1121.951 78.049 11:8 1.375
72\77 1122.078 77.922 7:5 1.400
101\108 1122.222 77.778 10:7 1.429
29\31 1122.581 77.419 3:2 1.500 Soft 1L 14s
102\109 1122.936 77.064 11:7 1.571
73\78 1123.077 76.923 8:5 1.600
117\125 1123.200 76.800 13:8 1.625
44\47 1123.404 76.596 5:3 1.667 Semisoft 1L 14s
103\110 1123.636 76.364 12:7 1.714
59\63 1123.810 76.190 7:4 1.750
74\79 1124.051 75.949 9:5 1.800
15\16 1125.000 75.000 2:1 2.000 Basic 1L 14s
Scales with tunings softer than this are proper
61\65 1126.154 73.846 9:4 2.250
46\49 1126.531 73.469 7:3 2.333
77\82 1126.829 73.171 12:5 2.400
31\33 1127.273 72.727 5:2 2.500 Semihard 1L 14s
78\83 1127.711 72.289 13:5 2.600
47\50 1128.000 72.000 8:3 2.667
63\67 1128.358 71.642 11:4 2.750
16\17 1129.412 70.588 3:1 3.000 Hard 1L 14s
49\52 1130.769 69.231 10:3 3.333
33\35 1131.429 68.571 7:2 3.500
50\53 1132.075 67.925 11:3 3.667
17\18 1133.333 66.667 4:1 4.000 Superhard 1L 14s
35\37 1135.135 64.865 9:2 4.500
18\19 1136.842 63.158 5:1 5.000
19\20 1140.000 60.000 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 14s


Todo: expand