15L 2s: Difference between revisions

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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
Ganaram inukshuk (talk | contribs)
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== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}{{Stub}}
! colspan="7" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 7\15
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 560.000
| |
|-
| |
| |
| |
| |
| |
| |
| |57\122
| | 8
| | 1
| | 8.000
| | 560.656
| |
|-
| |
| |
| |
| |
| |
| | 50\107
| |
| | 7
| | 1
| | 7.000
| | 560.748
| |
|-
| |
| |
| |
| |
| |
| |
| |43\92
| | 6
| | 1
| | 6.000
| | 560.870
| |
|-
| |
| |
| |
| |
| | 36\77
| |
| |
| | 5
| | 1
| | 5.000
| | 561.039
| |
|-
| |
| |
| |
| |
| |
| | 65\139
| |
| | 9
| | 2
| | 4.500
| | 561.151
| |
|-
| |
| |
| |
| | 29\62
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 561.290
| |
|-
| |
| |
| |
| |
| | 51\109
| |
| |
| | 7
| | 2
| | 3.500
| | 561.468
| |
|-
| |
| |
| |
| |
| |
| | 73\156
| |
| | 10
| | 3
| | 3.333
| | 561.538
| |
|-
| |
| |
| | 22\47
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 561.702
| |
|-
| |
| |
| |
| |
| | 59\126
| |
| |
| | 8
| | 3
| | 2.667
| | 561.905
| |
|-
| |
| |
| |
| | 37\79
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 562.025
| |
|-
| |
| |
| |
| |
| | 52\111
| |
| |
| | 7
| | 3
| | 2.333
| | 562.162
| |
|-
| |
| |
| |
| |
| |
| | 67\143
| |
| | 9
| | 4
| | 2.250
| | 562.238
| |
|-
| |
| | 15\32
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 562.500
| |
|-
| |
| |
| |
| |
| |
| | 68\145
| |
| | 9
| | 5
| | 1.800
| | 562.759
| |
|-
| |
| |
| |
| |
| | 53\113
| |
| |
| | 7
| | 4
| | 1.750
| | 562.832
| |
|-
| |
| |
| |
| | 38\81
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 562.963
| |
|-
| |
| |
| |
| |
| | 61\130
| |
| |
| | 8
| | 5
| | 1.600
| | 563.077
| |
|-
| |
| |
| | 23\49
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 563.265
| |
|-
| |
| |
| |
| |
| | 54\115
| |
| |
| | 7
| | 5
| | 1.400
| | 563.478
| |
|-
| |
| |
| |
| | 31\66
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 563.636
| |
|-
| |
| |
| |
| |
| |
| | 70\149
| |
| | 9
| | 7
| | 1.286
| | 563.758
| |
|-
| |
| |
| |
| |
| | 39\83
| |
| |
| | 5
| | 4
| | 1.250
| | 563.855
| |
|-
| |
| |
| |
| |
| |
| |
| |47\100
| | 6
| | 5
| | 1.200
| | 564.000
| |
|-
| |
| |
| |
| |
| |
| | 55\117
| |
| | 7
| | 6
| | 1.167
| | 564.103
| |
|-
| |
| |
| |
| |
| |
| |
| |63\134
| | 8
| | 7
| | 1.143
| | 564.179
| |
|-
| | 8\17
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 564.706
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:08, 1 March 2024

↖ 14L 1s ↑ 15L 1s 16L 1s ↗
← 14L 2s 15L 2s 16L 2s →
↙ 14L 3s ↓ 15L 3s 16L 3s ↘
Scale structure
Step pattern LLLLLLLLsLLLLLLLs
sLLLLLLLsLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 9\17 to 8\15 (635.3 ¢ to 640.0 ¢)
Dark 7\15 to 8\17 (560.0 ¢ to 564.7 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 4:1 to 5:1
Related MOS scales
Parent 2L 13s
Sister 2L 15s
Daughters 17L 15s, 15L 17s
Neutralized 13L 4s
2-Flought 32L 2s, 15L 19s
Equal tunings
Equalized (L:s = 1:1) 9\17 (635.3 ¢)
Supersoft (L:s = 4:3) 35\66 (636.4 ¢)
Soft (L:s = 3:2) 26\49 (636.7 ¢)
Semisoft (L:s = 5:3) 43\81 (637.0 ¢)
Basic (L:s = 2:1) 17\32 (637.5 ¢)
Semihard (L:s = 5:2) 42\79 (638.0 ¢)
Hard (L:s = 3:1) 25\47 (638.3 ¢)
Superhard (L:s = 4:1) 33\62 (638.7 ¢)
Collapsed (L:s = 1:0) 8\15 (640.0 ¢)
View • Talk • Edit

15L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 2 small steps, repeating every octave. 15L 2s is related to 2L 7s, expanding it by 8 tones. Generators that produce this scale range from 635.3 ¢ to 640 ¢, or from 560 ¢ to 564.7 ¢.

Modes

Modes of 15L 2s
UDP Cyclic
order		 Step
pattern
16|0 1 LLLLLLLLsLLLLLLLs
15|1 10 LLLLLLLsLLLLLLLLs
14|2 2 LLLLLLLsLLLLLLLsL
13|3 11 LLLLLLsLLLLLLLLsL
12|4 3 LLLLLLsLLLLLLLsLL
11|5 12 LLLLLsLLLLLLLLsLL
10|6 4 LLLLLsLLLLLLLsLLL
9|7 13 LLLLsLLLLLLLLsLLL
8|8 5 LLLLsLLLLLLLsLLLL
7|9 14 LLLsLLLLLLLLsLLLL
6|10 6 LLLsLLLLLLLsLLLLL
5|11 15 LLsLLLLLLLLsLLLLL
4|12 7 LLsLLLLLLLsLLLLLL
3|13 16 LsLLLLLLLLsLLLLLL
2|14 8 LsLLLLLLLsLLLLLLL
1|15 17 sLLLLLLLLsLLLLLLL
0|16 9 sLLLLLLLsLLLLLLLL

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 15L 2s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
9\17 635.294 564.706 1:1 1.000 Equalized 15L 2s
53\100 636.000 564.000 6:5 1.200
44\83 636.145 563.855 5:4 1.250
79\149 636.242 563.758 9:7 1.286
35\66 636.364 563.636 4:3 1.333 Supersoft 15L 2s
96\181 636.464 563.536 11:8 1.375
61\115 636.522 563.478 7:5 1.400
87\164 636.585 563.415 10:7 1.429
26\49 636.735 563.265 3:2 1.500 Soft 15L 2s
95\179 636.872 563.128 11:7 1.571
69\130 636.923 563.077 8:5 1.600
112\211 636.967 563.033 13:8 1.625
43\81 637.037 562.963 5:3 1.667 Semisoft 15L 2s
103\194 637.113 562.887 12:7 1.714
60\113 637.168 562.832 7:4 1.750
77\145 637.241 562.759 9:5 1.800
17\32 637.500 562.500 2:1 2.000 Basic 15L 2s
Scales with tunings softer than this are proper
76\143 637.762 562.238 9:4 2.250
59\111 637.838 562.162 7:3 2.333
101\190 637.895 562.105 12:5 2.400
42\79 637.975 562.025 5:2 2.500 Semihard 15L 2s
109\205 638.049 561.951 13:5 2.600
67\126 638.095 561.905 8:3 2.667
92\173 638.150 561.850 11:4 2.750
25\47 638.298 561.702 3:1 3.000 Hard 15L 2s
83\156 638.462 561.538 10:3 3.333
58\109 638.532 561.468 7:2 3.500
91\171 638.596 561.404 11:3 3.667
33\62 638.710 561.290 4:1 4.000 Superhard 15L 2s
74\139 638.849 561.151 9:2 4.500
41\77 638.961 561.039 5:1 5.000
49\92 639.130 560.870 6:1 6.000
8\15 640.000 560.000 1:0 → ∞ Collapsed 15L 2s
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