6L 5s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
Add clarify tag
Ganaram inukshuk (talk | contribs)
Scale tree: Replaced scale tree
Line 7: Line 7:


== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}
|-
| | 1/6
| |
| |
| |
| |
| | 200
|-
| |
| |
| |
| |
| | 6/35
| | 205.714
|-
| |
| |
| |
| | 5/29
| |
| | 206.897
|-
| |
| |
| |
| |
| | 9/52
| | 207.692
|-
| |
| |
| |
| |
| |
| | 208.386
|-
| |
| |
| | 4/23
| |
| |
| | 208.696
|-
| |
| |
| |
| |
| |
| | 209.385
|-
| |
| |
| |
| |
| | 11/63
| | 209.524
|-
| |
| |
| |
| |
| |
| | 209.528
|-
| |
| |
| |
| | 7/40
| |
| | 210
|-
| |
| |
| |
| |
| | 10/57
| | 210.526
|-
| |
| | 3/17
| |
| |
| |
| | 211.765
|-
| |
| |
| |
| |
| | 11/62
| | 212.903
|-
| |
| |
| |
| |
| |
| | 212.9935
|-
| |
| |
| |
| | 8/45
| |
| | 213.333
|-
| |
| |
| |
| |
| |
| | 213.598
|-
| |
| |
| |
| |
| | 13/73
| | 213.699
|-
| |
| |
| |
| |
| |
| | 213.865
|-
| |
| |
| | 5/28
| |
| |
| | 214.286
|-
| |
| |
| |
| |
| | 12/67
| | 214.925
|-
| |
| |
| |
| | 7/39
| |
| | 215.385
|-
| |
| |
| |
| |
| | 9/50
| | 216
|-
| | 2/11
| |
| |
| |
| |
| | 218.182
|}
 
[[Category:11-tone scales]]
[[Category:11-tone scales]]

Revision as of 19:55, 19 February 2024

↖ 5L 4s ↑ 6L 4s 7L 4s ↗
← 5L 5s 6L 5s 7L 5s →
↙ 5L 6s ↓ 6L 6s 7L 6s ↘
┌╥╥┬╥┬╥┬╥┬╥┬┐
│║║│║│║│║│║││
│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLs
sLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 9\11 to 5\6 (981.8 ¢ to 1000.0 ¢)
Dark 1\6 to 2\11 (200.0 ¢ to 218.2 ¢)
TAMNAMS information
Related to 5L 1s (machinoid)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 5L 1s
Sister 5L 6s
Daughters 11L 6s, 6L 11s
Neutralized 1L 10s
2-Flought 17L 5s, 6L 16s
Equal tunings
Equalized (L:s = 1:1) 9\11 (981.8 ¢)
Supersoft (L:s = 4:3) 32\39 (984.6 ¢)
Soft (L:s = 3:2) 23\28 (985.7 ¢)
Semisoft (L:s = 5:3) 37\45 (986.7 ¢)
Basic (L:s = 2:1) 14\17 (988.2 ¢)
Semihard (L:s = 5:2) 33\40 (990.0 ¢)
Hard (L:s = 3:1) 19\23 (991.3 ¢)
Superhard (L:s = 4:1) 24\29 (993.1 ¢)
Collapsed (L:s = 1:0) 5\6 (1000.0 ¢)

6L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 5 small steps, repeating every octave. 6L 5s is a child scale of 5L 1s, expanding it by 5 tones. Generators that produce this scale range from 981.8 ¢ to 1000 ¢, or from 200 ¢ to 218.2 ¢.} This MOS has a harmonic entropy minimum (Baldy) which is highly improper (L=8 s=1) in an optimal tuning, However, its saving grace is that it at least has index 2 in syntonic temperaments with wide fifths like superpyth (2.3.7) and pentacircle (2.3.11/7.13/11)[clarification needed].

Modes

Modes of 6L 5s
UDP Cyclic
order
Step
pattern
10|0 1 LLsLsLsLsLs
9|1 10 LsLLsLsLsLs
8|2 8 LsLsLLsLsLs
7|3 6 LsLsLsLLsLs
6|4 4 LsLsLsLsLLs
5|5 2 LsLsLsLsLsL
4|6 11 sLLsLsLsLsL
3|7 9 sLsLLsLsLsL
2|8 7 sLsLsLLsLsL
1|9 5 sLsLsLsLLsL
0|10 3 sLsLsLsLsLL

Scale tree

Template:Scale tree