5L 10s: Difference between revisions

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{{Todo|review|inline=1|text=Adopt scale tree template, review entries}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Tuning spectrum ==
Blackwood / blacksmith / ferrier range (although these temperaments are better tuned with a generator above 80 cents; see [[10L 5s]] )
Blackwood / blacksmith / ferrier range (although these temperaments are better tuned with a generator above 80 cents; see [[10L 5s]] )
 
{{Scale tree}}
{| class="wikitable"
! colspan="10" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 0\5
| |
| |
| |
| |
| |
| |
|
|
|
| | 1
| | 0
| |
| | 0.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|1\60
| | 10
| | 1
| | 10.000
| | 20.000
| | Pental is around here
|-
| |
| |
| |
| |
| |
| |
| |
|
|1\55
|
| | 9
| | 1
| | 9.000
| | 21.818
| |
|-
| |
| |
| |
| |
| |
| |
| |
|1\50
|
|
| | 8
| | 1
| | 8.000
| | 24.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|2\95
| | 15
| | 2
| | 7.500
| | 25.263
| |
|-
| |
| |
| |
| |
| |
| |
| |1\45
|
|
|
| | 7
| | 1
| | 7.000
| | 26.667
| |
|-
| |
| |
| |
| |
| |
| |
| |
|2\85
|
|
| | 13
| | 2
| | 6.500
| | 28.235
| |
|-
| |
| |
| |
| |
| |
| | 1\40
| |
|
|
|
| | 6
| | 1
| | 6.000
| | 30.000
| |
|-
| |
| |
| |
| |
| |
| |
| |2\75
|
|
|
| | 11
| | 2
| | 5.500
| | 32.000
| |
|-
| |
| |
| |
| |
| | 1\35
| |
| |
|
|
|
| | 5
| | 1
| | 5.000
| | 34.286
| |
|-
| |
| |
| |
| |
| |
| | 2\65
| |
|
|
|
| | 9
| | 2
| | 4.500
| | 36.923
| | Quint is around here
|-
| |
| |
| |
| |
| |
| |
| |3\95
|
|
|
| | 13
| | 3
| | 4.333
| | 37.895
| |
|-
| |
| |
| |
| | 1\30
| |
| |
| |
|
|
|
| | 4
| | 1
| | 4.000
| | 40.000
| |
|-
| |
| |
| |
| |
| |
| | 3\85
| |
|
|
|
| | 11
| | 3
| | 3.667
| | 42.353
| |
|-
| |
| |
| |
| |
| | 2\55
| |
| |
|
|
|
| | 7
| | 2
| | 3.500
| | 43.636
| |
|-
| |
| |
| |
| |
| |
| | 3\80
| |
|
|
|
| | 10
| | 3
| | 3.333
| | 45.000
| |
|-
| |
| |
| | 1\25
| |
| |
| |
| |
|
|
|
| | 3
| | 1
| | 3.000
| | 48.000
| |
|-
| |
| |
| |
| |
| |
| | 4\95
| |
|
|
|
| | 11
| | 4
| | 2.750
| | 50.526
| |
|-
| |
| |
| |
| |
| | 3\70
| |
| |
|
|
|
| | 8
| | 3
| | 2.667
| | 51.429
| |
|-
| |
| |
| |
| | 2\45
| |
| |
| |
|
|
|
| | 5
| | 2
| | 2.500
| | 53.333
| |
|-
| |
| |
| |
| |
| | 3\65
| |
| |
|
|
|
| | 7
| | 3
| | 2.333
| | 55.385
| |
|-
| |
| |
| |
| |
| |
| | 4\85
| |
|
|
|
| | 9
| | 4
| | 2.250
| | 56.471
| |
|-
| |
| | 1\20
| |
| |
| |
| |
| |
|
|
|
| | 2
| | 1
| | 2.000
| | 60.000
| |
|-
| |
| |
| |
| |
| |
| | 5\95
| |
|
|
|
| | 9
| | 5
| | 1.800
| | 63.158
| |
|-
| |
| |
| |
| |
| | 4\75
| |
| |
|
|
|
| | 7
| | 4
| | 1.750
| | 64.000
| |
|-
| |
| |
| |
| | 3\55
| |
| |
| |
|
|
|
| | 5
| | 3
| | 1.667
| | 65.455
| |
|-
| |
| |
| |
| |
| | 5\90
| |
| |
|
|
|
| | 8
| | 5
| | 1.600
| | 66.667
| |
|-
| |
| |
| | 2\35
| |
| |
| |
| |
|
|
|
| | 3
| | 2
| | 1.500
| | 68.571
| |
|-
| |
| |
| |
| |
| | 5\85
| |
| |
|
|
|
| | 7
| | 5
| | 1.400
| | 70.588
| |
|-
| |
| |
| |
| | 3\50
| |
| |
| |
|
|
|
| | 4
| | 3
| | 1.333
| | 72.000
| |
|-
| |
| |
| |
| |
| | 4\65
| |
| |
|
|
|
| | 5
| | 4
| | 1.250
| | 73.846
| | Coblack, Trisedodge, Countdown are around here
|-
| |
| |
| |
| |
| |
| | 5\80
| |
|
|
|
| | 6
| | 5
| | 1.200
| | 75.000
| |
|-
| |
| |
| |
| |
| |
| |
| |6\95
|
|
|
| | 7
| | 6
| | 1.167
| | 75.789
| |
|-
|
|
|
|
|
|
|
|7\110
|
|
|8
|7
|1.143
|76.364
|
|-
|
|
|
|
|
|
|
|
|8\125
|
|9
|8
|1.125
|76.800
|
|-
|
|
|
|
|
|
|
|
|
|9\140
|10
|9
|1.111
|77.143
|
|-
| | 1\15
| |
| |
| |
| |
| |
| |
|
|
|
| | 1
| | 1
| | 1.000
| | 80.000
| |
|}

Revision as of 20:48, 22 September 2024

↖ 4L 9s ↑ 5L 9s 6L 9s ↗
← 4L 10s 5L 10s 6L 10s →
↙ 4L 11s ↓ 5L 11s 6L 11s ↘
Scale structure
Step pattern LssLssLssLssLss
ssLssLssLssLssL
Equave 2/1 (1200.0 ¢)
Period 1\5 (240.0 ¢)
Generator size
Bright 2\15 to 1\5 (160.0 ¢ to 240.0 ¢)
Dark 0\5 to 1\15 (0.0 ¢ to 80.0 ¢)
TAMNAMS information
Related to 5L 5s (pentawood)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 5L 5s
Sister 10L 5s
Daughters 15L 5s, 5L 15s
Neutralized 10L 5s
2-Flought 20L 10s, 5L 25s
Equal tunings
Equalized (L:s = 1:1) 2\15 (160.0 ¢)
Supersoft (L:s = 4:3) 7\50 (168.0 ¢)
Soft (L:s = 3:2) 5\35 (171.4 ¢)
Semisoft (L:s = 5:3) 8\55 (174.5 ¢)
Basic (L:s = 2:1) 3\20 (180.0 ¢)
Semihard (L:s = 5:2) 7\45 (186.7 ¢)
Hard (L:s = 3:1) 4\25 (192.0 ¢)
Superhard (L:s = 4:1) 5\30 (200.0 ¢)
Collapsed (L:s = 1:0) 1\5 (240.0 ¢)
View • Talk • Edit

5L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 10 small steps, with a period of 1 large step and 2 small steps that repeats every 240.0 ¢, or 5 times every octave. 5L 10s is a child scale of 5L 5s, expanding it by 5 tones. Generators that produce this scale range from 160 ¢ to 240 ¢, or from 0 ¢ to 80 ¢.

Modes

Modes of 5L 10s
UDP Cyclic
order		 Step
pattern
10|0(5) 1 LssLssLssLssLss
5|5(5) 3 sLssLssLssLssLs
0|10(5) 2 ssLssLssLssLssL

Tuning spectrum

Blackwood / blacksmith / ferrier range (although these temperaments are better tuned with a generator above 80 cents; see 10L 5s )

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 5L 10s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\15 160.000 80.000 1:1 1.000 Equalized 5L 10s
11\80 165.000 75.000 6:5 1.200
9\65 166.154 73.846 5:4 1.250
16\115 166.957 73.043 9:7 1.286
7\50 168.000 72.000 4:3 1.333 Supersoft 5L 10s
19\135 168.889 71.111 11:8 1.375
12\85 169.412 70.588 7:5 1.400
17\120 170.000 70.000 10:7 1.429
5\35 171.429 68.571 3:2 1.500 Soft 5L 10s
18\125 172.800 67.200 11:7 1.571
13\90 173.333 66.667 8:5 1.600
21\145 173.793 66.207 13:8 1.625
8\55 174.545 65.455 5:3 1.667 Semisoft 5L 10s
19\130 175.385 64.615 12:7 1.714
11\75 176.000 64.000 7:4 1.750
14\95 176.842 63.158 9:5 1.800
3\20 180.000 60.000 2:1 2.000 Basic 5L 10s
Scales with tunings softer than this are proper
13\85 183.529 56.471 9:4 2.250
10\65 184.615 55.385 7:3 2.333
17\110 185.455 54.545 12:5 2.400
7\45 186.667 53.333 5:2 2.500 Semihard 5L 10s
18\115 187.826 52.174 13:5 2.600
11\70 188.571 51.429 8:3 2.667
15\95 189.474 50.526 11:4 2.750
4\25 192.000 48.000 3:1 3.000 Hard 5L 10s
13\80 195.000 45.000 10:3 3.333
9\55 196.364 43.636 7:2 3.500
14\85 197.647 42.353 11:3 3.667
5\30 200.000 40.000 4:1 4.000 Superhard 5L 10s
11\65 203.077 36.923 9:2 4.500
6\35 205.714 34.286 5:1 5.000
7\40 210.000 30.000 6:1 6.000
1\5 240.000 0.000 1:0 → ∞ Collapsed 5L 10s
Retrieved from "https://en.xen.wiki/index.php?title=5L_10s&oldid=156148"