5L 8s: Difference between revisions

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{{MOS intro}}
{{MOS intro}}
5L 8s expands on oneirotonic ([[5L 3s]]). This MOS, representing tempered chains of the 21st harmonic, is the chromatic scale of Semisept, [[A-Team]] and [[Vulture]] temperaments.
5L 8s represents the chromatic scales of Semisept, [[A-Team]] and [[Vulture]] temperaments.
==Modes==
==Modes==
{{MOS modes}}
{{MOS modes}}
==Scale tree==
==Scale tree==
{| class="wikitable"
{{Scale tree}}
|-
| | (2+3)/13
| |
| |
| | 184.615+<span style="font-size: 12.8000001907349px;">276.923</span>
|-
| | (9+13)/57
| |
| |
| | 189.474+273.684
|-
| | (7+10)/44
| |
| |
| | 190.909+272.727
|-
| |
| | (19+27)/119
| |
| | 191.597+272.269
|-
| |
| | (12+17)/75
| |
| | 192+272
|-
| |
| | (17+24)/106
| |
| | 192.472+271.698
|-
| | (5+7)/31
| |
| |
| | 193.548+270.968
|-
| |
| | (18+25)/111
| |
| | 194.595+270.27
|-
| |
| | (13+18)/80
| |
| | 195+270
|-
| |
| |
| |
| | 195.252+269.832
|-
| |
| |
| | (21+29)/129
| | 195.349+269.907
|-
| |
| | (8+11)/49
| |
| | 195.918+269.388
|-
| |
| |
| | (19+26)/116
| | 196.552+268.966
|-
| |
| | (11+15)/67
| |
| | 197.015+268.657
|-
| |
| | (14+19)/85
| |
| | 197.647+268.235
|-
| |
| | (17+23)/103
| |
| | 198.058+267.961
|-
| |
| | (20+27)/121
| |
| | 198.347+267.769
|-
| |
| | (23+31)/139
| |
| | 198.561+267.626
|-
| |
| | (26+35)/157
| |
| | 198.726+267.516
|-
| |
| | (29+39)/175
| |
| | 198.857+267.429
|-
| |
| | (32+43)/193
| |
| | 198.964+267.358
|-
| |
| | (35+47)/211
| |
| | 199.052+267.299
|-
| | (3+4)/18
| |
| |
| | 200+266.667
|-
| |
| | (19+25)/113
| |
| | 201.77+265.442
|-
| |
| | (16+21)/95
| |
| | 202.105+265.2105
|-
| |
| | (13+17)/77
| |
| | 202.597+264.935
|-
| |
| | (10+13)/59
| |
| | 203.39+264.407
|-
| |
| | (7+9)/41
| |
| | 204.878+263.415
|-
| |
| |
| | (18+23)/105
| | 205.714+262.857
|-
| |
| |
| |
| | 205.861+262.759
|-
| |
| | (11+14)/64
| |
| | 206.25+262.5
|-
| |
| |
| |
| | 206.653+262.231
|-
| |
| | (15+19)/87
| |
| | 206.897+262.069
|-
| |
| | (19+24)/110
| |
| | 207.273+261.818
|-
| | (4+5)/23
| |
| |
| | 208.696+260.870
|-
| |
| |
| |
| | 209.6305+260.246
|-
| |
| | (13+16)/74
| |
| | 210.811+259.459
|-
| |
| | (9+11)/51
| |
| | 211.765+257.824
|-
| |
| | (14+17)/79
| |
| | 212.658+258.346
|-
| | (5+6)/28
| |
| |
| | 214.286+257.143
|-
| |
| | (16+19)/89
| |
| | 215.73+256.18
|-
| |
| | <span style="font-size: 12.8000001907349px;">(11+13)/61</span>
| |
| | 216.393+255.738
|-
| |
| | (17+20)/94
| |
| | 217.021+255.319
|-
| | (6+7)/33
| |
| |
| | 218.182+254.5455
|-
| | (1+1)/5
| |
| |
| | 240+240
|}
[[Category:Oneirotonic]]
[[Category:Oneirotonic]]
[[Category:13-tone scales]]
[[Category:13-tone scales]]

Revision as of 20:24, 19 February 2024

↖ 4L 7s ↑ 5L 7s 6L 7s ↗
← 4L 8s 5L 8s 6L 8s →
↙ 4L 9s ↓ 5L 9s 6L 9s ↘
┌╥┬╥┬┬╥┬╥┬┬╥┬┬┐
│║│║││║│║││║│││
│││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLsLssLss
ssLssLsLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\13 to 2\5 (461.5 ¢ to 480.0 ¢)
Dark 3\5 to 8\13 (720.0 ¢ to 738.5 ¢)
TAMNAMS information
Related to 5L 3s (oneirotonic)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 5L 3s
Sister 8L 5s
Daughters 13L 5s, 5L 13s
Neutralized 10L 3s
2-Flought 18L 8s, 5L 21s
Equal tunings
Equalized (L:s = 1:1) 5\13 (461.5 ¢)
Supersoft (L:s = 4:3) 17\44 (463.6 ¢)
Soft (L:s = 3:2) 12\31 (464.5 ¢)
Semisoft (L:s = 5:3) 19\49 (465.3 ¢)
Basic (L:s = 2:1) 7\18 (466.7 ¢)
Semihard (L:s = 5:2) 16\41 (468.3 ¢)
Hard (L:s = 3:1) 9\23 (469.6 ¢)
Superhard (L:s = 4:1) 11\28 (471.4 ¢)
Collapsed (L:s = 1:0) 2\5 (480.0 ¢)

5L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 8 small steps, repeating every octave. 5L 8s is a child scale of 5L 3s, expanding it by 5 tones. Generators that produce this scale range from 461.5 ¢ to 480 ¢, or from 720 ¢ to 738.5 ¢. 5L 8s represents the chromatic scales of Semisept, A-Team and Vulture temperaments.

Modes

Modes of 5L 8s
UDP Cyclic
order
Step
pattern
12|0 1 LsLssLsLssLss
11|1 6 LsLssLssLsLss
10|2 11 LssLsLssLsLss
9|3 3 LssLsLssLssLs
8|4 8 LssLssLsLssLs
7|5 13 sLsLssLsLssLs
6|6 5 sLsLssLssLsLs
5|7 10 sLssLsLssLsLs
4|8 2 sLssLsLssLssL
3|9 7 sLssLssLsLssL
2|10 12 ssLsLssLsLssL
1|11 4 ssLsLssLssLsL
0|12 9 ssLssLsLssLsL

Scale tree

Template:Scale tree