6L 1s: Difference between revisions

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{{main|6L 1s/Temperaments}}
{{main|6L 1s/Temperaments}}
== Scale tree ==
== Scale tree ==
 
{| class="wikitable center-all"
{| class="wikitable"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
| 1\7 || || || || || || 171.429 || 1 || 1 || 1.000 ||
|-
| || || || || || 6\41 || 175.610 || 6 || 5 || 1.200 ||
|-
| || || || || 5\34 || || 176.471 || 5 || 4 || 1.250 || Tetracot is in this region
|-
| || || || || || 9\61 || 177.049 || 9 || 7 || 1.286 ||
|-
| || || || 4\27 || || || 177.778 || 4 || 3 || 1.333 ||
|-
| || || || || || 11\74 || 178.378 || 11 || 8 || 1.375 ||
|-
| || || || || 7\47 || || 178.723 || 7 || 5 || 1.400 ||
|-
| || || || || || 10\67 || 179.104 || 10 || 7 || 1.428 ||
|-
| || || 3\20 || || || || 180.000 || 3 || 2 || 1.500 || L/s = 3/2
|-
| || || || || || 11\73 || 180.822 || 11 || 7 || 1.571 ||
|-
| || || || || 8\53 || || 181.132 || 8 || 5 || 1.600 ||
|-
| || || || || || 13\86 || 181.395 || 13 || 8 || 1.625 || Unnamed golden tuning
|-
| || || || 5\33 || || || 181.818 || 5 || 3 || 1.667 ||
|-
| || || || || || 12\79 || 182.278 || 12 || 7 || 1.714 || Bluebirds
|-
| || || || || 7\46 || || 182.609 || 7 || 4 || 1.750 ||
|-
|-
! colspan="6" | Generator
| || || || || || 9\59 || 183.051 || 9 || 5 || 1.800 ||
! | Cents
! | Comments
|-
|-
| | 1\7
| || 2\13 || || || || || 184.615 || 2 || 1 || 2.000 || Basic archeotonic
| |  
| |  
| |  
| |  
| |  
| | 171.43
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 9\58 || 186.207 || 9 || 4 || 2.250 ||
| |  
| |  
| |  
| |  
| | 6\41
| | 175.61
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 7\45 || || 186.667 || 7 || 3 || 2.333 ||  
| |  
| |  
| |  
| | 5\34
| |  
| | 176.47
| style="text-align:center;" | <!--Tetracot is around here-->
|-
|-
| |  
| || || || || || 12\77 || 187.013 || 12 || 5 || 2.400 ||
| |  
| |  
| | 4\27
| |  
| |  
| | 177.78
| style="text-align:center;" |  
|-
|-
| |  
| || || || 5\32 || || || 187.500 || 5 || 2 || 2.500 ||  
| |  
| | 3\20
| |  
| |  
| |  
| | 180
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 13\83 || 187.952 || 13 || 5 || 2.600 || Unnamed golden tuning
| |  
| |  
| |  
| | 8\53
| |  
| | 181.13
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 8\51 || || 188.235 || 8 || 3 || 2.667 ||
| |  
| |  
| |  
| |  
| |  
| | 1200/(5+phi)
| style="text-align:center;" | Golden archeotonic
|-
|-
| |  
| || || || || || 11\70 || 188.571 || 11 || 4 || 2.750 ||
| |  
| |  
| | 5\33
| |  
| |  
| | 181.82
| style="text-align:center;" |  
|-
|-
| |  
| || || 3\19 || || || || 189.474 || 3 || 1 || 3.000 || L/s = 3/1
| |  
| |  
| |  
| | 7\46
| |  
| | 182.61
| |  
|-
|-
| |  
| || || || || || 10\63 || 190.476 || 10 || 3 || 3.333 ||
| | 2\13
| |  
| |  
| |  
| |  
| | 184.62
| style="text-align:center;" | Optimum rank range <!--glacial--> (L/s=2/1)
|-
|-
| |  
| || || || || 7\44 || || 190.909 || 7 || 2 || 3.500 ||
| |  
| |  
| | 5\32
| |  
| |  
| | 187.5
| |  
|-
|-
| |  
| || || || || || 11\69 || 191.304 || 11 || 3 || 3.667 ||
| |  
| |  
| |  
| | 8\51
| |  
| | 188.235
| |  
|-
|-
| |  
| || || || 4\25 || || || 192.000 || 4 || 1 || 4.000 ||
| |  
| | 3\19
| |  
| |  
| |  
| | 189.47
| style="text-align:center;" | L/s = 3
|-
|-
| |  
| || || || || || 9\56 || 192.857 || 9 || 2 || 4.500 ||
| |  
| |  
| | 4\25
| |  
| |  
| | 192
| style="text-align:center;" | L/s = 4
|-
|-
| |  
| || || || || 5\31 || || 193.548 || 5 || 1 || 5.000 || Didacus, hemithirds, hemiwürschmidt
| |  
| |  
| |
| | 5\31
| |  
| | 193.55
| style="text-align:center;" | <!--Didacus/hemithirds/roulette is around here-->
|-
|-
|
| || || || || || 6\37 || 194.595 || 6 || 1 || 6.000 || Roulette
|
|
|
|
|6\37
|194.595
|
|-
|-
| | 1\6
| 1\6 || || || || || || 200.000 || 1 || 0 || → inf ||
| |  
| |  
| |  
| |  
| |  
| | 200
| style="text-align:center;" |  
|}
|}
[[Category:Scales]]
[[Category:Scales]]
[[Category:MOS scales]]
[[Category:MOS scales]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:Archeotonic| ]] <!-- main article -->

Revision as of 13:40, 11 April 2021

User:IlL/Template:RTT restriction

← 5L 1s 6L 1s 7L 1s →
↙ 5L 2s ↓ 6L 2s 7L 2s ↘ 
┌╥╥╥╥╥╥┬┐
│║║║║║║││
│││││││││
└┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLs
sLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\7 to 1\6 (171.4 ¢ to 200.0 ¢)
Dark 5\6 to 6\7 (1000.0 ¢ to 1028.6 ¢)
TAMNAMS information
Name archaeotonic
Prefix arch-
Abbrev. arc
Related MOS scales
Parent 1L 5s
Sister 1L 6s
Daughters 7L 6s, 6L 7s
Neutralized 5L 2s
2-Flought 13L 1s, 6L 8s
Equal tunings
Equalized (L:s = 1:1) 1\7 (171.4 ¢)
Supersoft (L:s = 4:3) 4\27 (177.8 ¢)
Soft (L:s = 3:2) 3\20 (180.0 ¢)
Semisoft (L:s = 5:3) 5\33 (181.8 ¢)
Basic (L:s = 2:1) 2\13 (184.6 ¢)
Semihard (L:s = 5:2) 5\32 (187.5 ¢)
Hard (L:s = 3:1) 3\19 (189.5 ¢)
Superhard (L:s = 4:1) 4\25 (192.0 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)

Scales of this form are always proper, because there is only one small step.

Notation

JKLMNOPJ = LLLLLLs (Ryonian mode), &/@ = chroma up/down

Modes

MOS modes

Archeotonic.png

MODMOSes

Temperaments

Main article: 6L 1s/Temperaments

Scale tree

Generator Cents L s L/s Comments
1\7 171.429 1 1 1.000
6\41 175.610 6 5 1.200
5\34 176.471 5 4 1.250 Tetracot is in this region
9\61 177.049 9 7 1.286
4\27 177.778 4 3 1.333
11\74 178.378 11 8 1.375
7\47 178.723 7 5 1.400
10\67 179.104 10 7 1.428
3\20 180.000 3 2 1.500 L/s = 3/2
11\73 180.822 11 7 1.571
8\53 181.132 8 5 1.600
13\86 181.395 13 8 1.625 Unnamed golden tuning
5\33 181.818 5 3 1.667
12\79 182.278 12 7 1.714 Bluebirds
7\46 182.609 7 4 1.750
9\59 183.051 9 5 1.800
2\13 184.615 2 1 2.000 Basic archeotonic
9\58 186.207 9 4 2.250
7\45 186.667 7 3 2.333
12\77 187.013 12 5 2.400
5\32 187.500 5 2 2.500
13\83 187.952 13 5 2.600 Unnamed golden tuning
8\51 188.235 8 3 2.667
11\70 188.571 11 4 2.750
3\19 189.474 3 1 3.000 L/s = 3/1
10\63 190.476 10 3 3.333
7\44 190.909 7 2 3.500
11\69 191.304 11 3 3.667
4\25 192.000 4 1 4.000
9\56 192.857 9 2 4.500
5\31 193.548 5 1 5.000 Didacus, hemithirds, hemiwürschmidt
6\37 194.595 6 1 6.000 Roulette
1\6 200.000 1 0 → inf
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