13L 6s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →

Ganaram inukshuk (talk | contribs)

2 user groups
6,211 edits
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,845 edits
m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
6,211 edits
Replaced no-entries scale tree; stub
Tag: Replaced
Line 3: Line 3:
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree==
{| class="wikitable"
{{Scale tree}}
! colspan="8" | generator
{{Stub}}
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 2\13
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 184.615
| |
|-
| |
| |
| |
| |
| |
| |
| |
|17\110
| | 8
| | 1
| | 8.000
| | 185.455
| |
|-
| |
| |
| |
| |
| |
| |
| |15\97
|
| | 7
| | 1
| | 7.000
| | 185.567
| |
|-
| |
| |
| |
| |
| |
| | 13\84
| |
|
| | 6
| | 1
| | 6.000
| | 185.714
| |
|-
| |
| |
| |
| |
| |
| |
| |24\155
|
| | 11
| | 2
| | 5.500
| | 185.806
| |
|-
| |
| |
| |
| |
| | 11\71
| |
| |
|
| | 5
| | 1
| | 5.000
| | 185.915
| |
|-
| |
| |
| |
| |
| |
| | 20\129
| |
|
| | 9
| | 2
| | 4.500
| | 186.047
| |
|-
| |
| |
| |
| | 9\58
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 186.207
| |
|-
| |
| |
| |
| |
| |
| | 25\161
| |
|
| | 11
| | 3
| | 3.667
| | 186.335
| |
|-
| |
| |
| |
| |
| | 16\103
| |
| |
|
| | 7
| | 2
| | 3.500
| | 186.408
| |
|-
| |
| |
| |
| |
| |
| | 23\148
| |
|
| | 10
| | 3
| | 3.333
| | 186.486
| |
|-
| |
| |
| | 7\45
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 186.667
| |
|-
| |
| |
| |
| |
| |
| | 26\167
| |
|
| | 11
| | 4
| | 2.750
| | 186.826
| |
|-
| |
| |
| |
| |
| | 19\122
| |
| |
|
| | 8
| | 3
| | 2.667
| | 186.885
| |
|-
| |
| |
| |
| | 12\77
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 187.013
| |
|-
| |
| |
| |
| |
| | 17\109
| |
| |
|
| | 7
| | 3
| | 2.333
| | 187.156
| |
|-
| |
| |
| |
| |
| |
| | 22\141
| |
|
| | 9
| | 4
| | 2.250
| | 187.234
| |
|-
| |
| | 5\32
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 187.500
| |
|-
| |
| |
| |
| |
| |
| | 23\147
| |
|
| | 9
| | 5
| | 1.800
| | 187.755
| |
|-
| |
| |
| |
| |
| | 18\115
| |
| |
|
| | 7
| | 4
| | 1.750
| | 187.826
| |
|-
| |
| |
| |
| | 13\83
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 187.952
| |
|-
| |
| |
| |
| |
| | 21\134
| |
| |
|
| | 8
| | 5
| | 1.600
| | 188.060
| |
|-
| |
| |
| | 8\51
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 188.235
| |
|-
| |
| |
| |
| |
| | 19\121
| |
| |
|
| | 7
| | 5
| | 1.400
| | 188.430
| |
|-
| |
| |
| |
| | 11\70
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 188.571
| |
|-
| |
| |
| |
| |
| |
| | 25\159
| |
|
| | 9
| | 7
| | 1.286
| | 188.679
| |
|-
| |
| |
| |
| |
| | 14\89
| |
| |
|
| | 5
| | 4
| | 1.250
| | 188.764
| |
|-
| |
| |
| |
| |
| |
| | 17\108
| |
|
| | 6
| | 5
| | 1.200
| | 188.889
| |
|-
| |
| |
| |
| |
| |
| |
| |20\127
|
| | 7
| | 6
| | 1.167
| | 188.976
| |
|-
| |
| |
| |
| |
| |
| |
| |
|23\146
| | 8
| | 7
| | 1.143
| | 189.041
| |
|-
| | 3\19
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 189.474
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:40, 1 March 2024

↖ 12L 5s ↑ 13L 5s 14L 5s ↗
← 12L 6s 13L 6s 14L 6s →
↙ 12L 7s ↓ 13L 7s 14L 7s ↘
Scale structure
Step pattern LLLsLLsLLsLLsLLsLLs
sLLsLLsLLsLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 16\19 to 11\13 (1010.5 ¢ to 1015.4 ¢)
Dark 2\13 to 3\19 (184.6 ¢ to 189.5 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 6L 7s
Sister 6L 13s
Daughters 19L 13s, 13L 19s
Neutralized 7L 12s
2-Flought 32L 6s, 13L 25s
Equal tunings
Equalized (L:s = 1:1) 16\19 (1010.5 ¢)
Supersoft (L:s = 4:3) 59\70 (1011.4 ¢)
Soft (L:s = 3:2) 43\51 (1011.8 ¢)
Semisoft (L:s = 5:3) 70\83 (1012.0 ¢)
Basic (L:s = 2:1) 27\32 (1012.5 ¢)
Semihard (L:s = 5:2) 65\77 (1013.0 ¢)
Hard (L:s = 3:1) 38\45 (1013.3 ¢)
Superhard (L:s = 4:1) 49\58 (1013.8 ¢)
Collapsed (L:s = 1:0) 11\13 (1015.4 ¢)
View • Talk • Edit

13L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 6 small steps, repeating every octave. 13L 6s is a grandchild scale of 6L 1s, expanding it by 12 tones. Generators that produce this scale range from 1010.5 ¢ to 1015.4 ¢, or from 184.6 ¢ to 189.5 ¢.

Modes

Modes of 13L 6s
UDP Cyclic
order		 Step
pattern
18|0 1 LLLsLLsLLsLLsLLsLLs
17|1 17 LLsLLLsLLsLLsLLsLLs
16|2 14 LLsLLsLLLsLLsLLsLLs
15|3 11 LLsLLsLLsLLLsLLsLLs
14|4 8 LLsLLsLLsLLsLLLsLLs
13|5 5 LLsLLsLLsLLsLLsLLLs
12|6 2 LLsLLsLLsLLsLLsLLsL
11|7 18 LsLLLsLLsLLsLLsLLsL
10|8 15 LsLLsLLLsLLsLLsLLsL
9|9 12 LsLLsLLsLLLsLLsLLsL
8|10 9 LsLLsLLsLLsLLLsLLsL
7|11 6 LsLLsLLsLLsLLsLLLsL
6|12 3 LsLLsLLsLLsLLsLLsLL
5|13 19 sLLLsLLsLLsLLsLLsLL
4|14 16 sLLsLLLsLLsLLsLLsLL
3|15 13 sLLsLLsLLLsLLsLLsLL
2|16 10 sLLsLLsLLsLLLsLLsLL
1|17 7 sLLsLLsLLsLLsLLLsLL
0|18 4 sLLsLLsLLsLLsLLsLLL

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 13L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
16\19 1010.526 189.474 1:1 1.000 Equalized 13L 6s
91\108 1011.111 188.889 6:5 1.200
75\89 1011.236 188.764 5:4 1.250
134\159 1011.321 188.679 9:7 1.286
59\70 1011.429 188.571 4:3 1.333 Supersoft 13L 6s
161\191 1011.518 188.482 11:8 1.375
102\121 1011.570 188.430 7:5 1.400
145\172 1011.628 188.372 10:7 1.429
43\51 1011.765 188.235 3:2 1.500 Soft 13L 6s
156\185 1011.892 188.108 11:7 1.571
113\134 1011.940 188.060 8:5 1.600
183\217 1011.982 188.018 13:8 1.625
70\83 1012.048 187.952 5:3 1.667 Semisoft 13L 6s
167\198 1012.121 187.879 12:7 1.714
97\115 1012.174 187.826 7:4 1.750
124\147 1012.245 187.755 9:5 1.800
27\32 1012.500 187.500 2:1 2.000 Basic 13L 6s
Scales with tunings softer than this are proper
119\141 1012.766 187.234 9:4 2.250
92\109 1012.844 187.156 7:3 2.333
157\186 1012.903 187.097 12:5 2.400
65\77 1012.987 187.013 5:2 2.500 Semihard 13L 6s
168\199 1013.065 186.935 13:5 2.600
103\122 1013.115 186.885 8:3 2.667
141\167 1013.174 186.826 11:4 2.750
38\45 1013.333 186.667 3:1 3.000 Hard 13L 6s
125\148 1013.514 186.486 10:3 3.333
87\103 1013.592 186.408 7:2 3.500
136\161 1013.665 186.335 11:3 3.667
49\58 1013.793 186.207 4:1 4.000 Superhard 13L 6s
109\129 1013.953 186.047 9:2 4.500
60\71 1014.085 185.915 5:1 5.000
71\84 1014.286 185.714 6:1 6.000
11\13 1015.385 184.615 1:0 → ∞ Collapsed 13L 6s
This page is a stub. You can help the Xenharmonic Wiki by expanding it.
Retrieved from "https://en.xen.wiki/index.php?title=13L_6s&oldid=137711"