17L 2s: Difference between revisions

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BudjarnLambeth (talk | contribs)
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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
Ganaram inukshuk (talk | contribs)
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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}}{{Stub}}
! colspan="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 8\17
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 564.706
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|73\155
| | 9
| | 1
| | 9.000
| | 565.161
| |
|-
| |
| |
| |
| |
| |
| |
| |
|65\138
|
| | 8
| | 1
| | 8.000
| | 565.217
| |
|-
| |
| |
| |
| |
| |
| |
| |57\121
|
|
| | 7
| | 1
| | 7.000
| | 565.289
| |
|-
| |
| |
| |
| |
| |
| | 49\104
| |
|
|
| | 6
| | 1
| | 6.000
| | 565.385
| |
|-
| |
| |
| |
| |
| |
| |
| |90\191
|
|
| | 11
| | 2
| | 5.500
| | 565.445
| |
|-
| |
| |
| |
| |
| | 41\87
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 565.517
| |
|-
| |
| |
| |
| |
| |
| | 74\157
| |
|
|
| | 9
| | 2
| | 4.500
| | 565.605
| |
|-
| |
| |
| |
| | 33\70
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 565.714
| |
|-
| |
| |
| |
| |
| |
| | 91\193
| |
|
|
| | 11
| | 3
| | 3.667
| | 565.803
| |
|-
| |
| |
| |
| |
| | 58\123
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 565.854
| |
|-
| |
| |
| |
| |
| |
| | 83\176
| |
|
|
| | 10
| | 3
| | 3.333
| | 565.909
| |
|-
| |
| |
| | 25\53
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 566.038
| |
|-
| |
| |
| |
| |
| |
| | 92\195
| |
|
|
| | 11
| | 4
| | 2.750
| | 566.154
| |
|-
| |
| |
| |
| |
| | 67\142
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 566.197
| |
|-
| |
| |
| |
| | 42\89
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 566.292
| |
|-
| |
| |
| |
| |
| | 59\125
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 566.400
| |
|-
| |
| |
| |
| |
| |
| | 76\161
| |
|
|
| | 9
| | 4
| | 2.250
| | 566.460
| |
|-
| |
| |
| |
| |
| |
| | 93\197
| |
|
|
| | 11
| | 5
| | 2.200
| | 566.497
| |
|-
| |
| | 17\36
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 566.667
| |
|-
| |
| |
| |
| |
| |
| | 94\199
| |
|
|
| | 11
| | 6
| | 1.833
| | 566.834
| |
|-
| |
| |
| |
| |
| |
| | 77\163
| |
|
|
| | 9
| | 5
| | 1.800
| | 566.871
| |
|-
| |
| |
| |
| |
| | 60\127
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 566.929
| |
|-
| |
| |
| |
| | 43\91
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 567.033
| |
|-
| |
| |
| |
| |
| | 69\146
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 567.123
| |
|-
| |
| |
| | 26\55
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 567.273
| |
|-
| |
| |
| |
| |
| |
| | 87\184
| |
|
|
| | 10
| | 7
| | 1.429
| | 567.391
| |
|-
| |
| |
| |
| |
| | 61\129
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 567.442
| |
|-
| |
| |
| |
| | 35\74
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 567.568
| |
|-
| |
| |
| |
| |
| |
| | 79\167
| |
|
|
| | 9
| | 7
| | 1.286
| | 567.665
| |
|-
| |
| |
| |
| |
| | 44\93
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 567.742
| |
|-
| |
| |
| |
| |
| |
| | 53\112
| |
|
|
| | 6
| | 5
| | 1.200
| | 567.857
| |
|-
| |
| |
| |
| |
| |
| |
| |62\131
|
|
| | 7
| | 6
| | 1.167
| | 567.939
| |
|-
| |
| |
| |
| |
| |
| |
| |
|71\150
|
| | 8
| | 7
| | 1.143
| | 568.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|80\169
| | 9
| | 8
| | 1.125
| | 568.047
| |
|-
| | 9\19
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 568.421
| |
|}
 
[[Category:Abstract MOS patterns]]
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:28, 1 March 2024

↖ 16L 1s ↑ 17L 1s 18L 1s ↗
← 16L 2s 17L 2s 18L 2s →
↙ 16L 3s ↓ 17L 3s 18L 3s ↘
Scale structure
Step pattern LLLLLLLLLsLLLLLLLLs
sLLLLLLLLsLLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 10\19 to 9\17 (631.6 ¢ to 635.3 ¢)
Dark 8\17 to 9\19 (564.7 ¢ to 568.4 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 5:1 to 6:1
Related MOS scales
Parent 2L 15s
Sister 2L 17s
Daughters 19L 17s, 17L 19s
Neutralized 15L 4s
2-Flought 36L 2s, 17L 21s
Equal tunings
Equalized (L:s = 1:1) 10\19 (631.6 ¢)
Supersoft (L:s = 4:3) 39\74 (632.4 ¢)
Soft (L:s = 3:2) 29\55 (632.7 ¢)
Semisoft (L:s = 5:3) 48\91 (633.0 ¢)
Basic (L:s = 2:1) 19\36 (633.3 ¢)
Semihard (L:s = 5:2) 47\89 (633.7 ¢)
Hard (L:s = 3:1) 28\53 (634.0 ¢)
Superhard (L:s = 4:1) 37\70 (634.3 ¢)
Collapsed (L:s = 1:0) 9\17 (635.3 ¢)
View • Talk • Edit

17L 2s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 2 small steps, repeating every octave. 17L 2s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 631.6 ¢ to 635.3 ¢, or from 564.7 ¢ to 568.4 ¢.

Modes

Modes of 17L 2s
UDP Cyclic
order		 Step
pattern
18|0 1 LLLLLLLLLsLLLLLLLLs
17|1 11 LLLLLLLLsLLLLLLLLLs
16|2 2 LLLLLLLLsLLLLLLLLsL
15|3 12 LLLLLLLsLLLLLLLLLsL
14|4 3 LLLLLLLsLLLLLLLLsLL
13|5 13 LLLLLLsLLLLLLLLLsLL
12|6 4 LLLLLLsLLLLLLLLsLLL
11|7 14 LLLLLsLLLLLLLLLsLLL
10|8 5 LLLLLsLLLLLLLLsLLLL
9|9 15 LLLLsLLLLLLLLLsLLLL
8|10 6 LLLLsLLLLLLLLsLLLLL
7|11 16 LLLsLLLLLLLLLsLLLLL
6|12 7 LLLsLLLLLLLLsLLLLLL
5|13 17 LLsLLLLLLLLLsLLLLLL
4|14 8 LLsLLLLLLLLsLLLLLLL
3|15 18 LsLLLLLLLLLsLLLLLLL
2|16 9 LsLLLLLLLLsLLLLLLLL
1|17 19 sLLLLLLLLLsLLLLLLLL
0|18 10 sLLLLLLLLsLLLLLLLLL

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 17L 2s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
10\19 631.579 568.421 1:1 1.000 Equalized 17L 2s
59\112 632.143 567.857 6:5 1.200
49\93 632.258 567.742 5:4 1.250
88\167 632.335 567.665 9:7 1.286
39\74 632.432 567.568 4:3 1.333 Supersoft 17L 2s
107\203 632.512 567.488 11:8 1.375
68\129 632.558 567.442 7:5 1.400
97\184 632.609 567.391 10:7 1.429
29\55 632.727 567.273 3:2 1.500 Soft 17L 2s
106\201 632.836 567.164 11:7 1.571
77\146 632.877 567.123 8:5 1.600
125\237 632.911 567.089 13:8 1.625
48\91 632.967 567.033 5:3 1.667 Semisoft 17L 2s
115\218 633.028 566.972 12:7 1.714
67\127 633.071 566.929 7:4 1.750
86\163 633.129 566.871 9:5 1.800
19\36 633.333 566.667 2:1 2.000 Basic 17L 2s
Scales with tunings softer than this are proper
85\161 633.540 566.460 9:4 2.250
66\125 633.600 566.400 7:3 2.333
113\214 633.645 566.355 12:5 2.400
47\89 633.708 566.292 5:2 2.500 Semihard 17L 2s
122\231 633.766 566.234 13:5 2.600
75\142 633.803 566.197 8:3 2.667
103\195 633.846 566.154 11:4 2.750
28\53 633.962 566.038 3:1 3.000 Hard 17L 2s
93\176 634.091 565.909 10:3 3.333
65\123 634.146 565.854 7:2 3.500
102\193 634.197 565.803 11:3 3.667
37\70 634.286 565.714 4:1 4.000 Superhard 17L 2s
83\157 634.395 565.605 9:2 4.500
46\87 634.483 565.517 5:1 5.000
55\104 634.615 565.385 6:1 6.000
9\17 635.294 564.706 1:0 → ∞ Collapsed 17L 2s
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