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

 

MODMOSes

Temperaments

Scale tree

Generator Cents Comments
1\7 171.43
6\41 175.61
5\34 176.47
4\27 177.78
3\20 180
180.815
8\53 181.13
1200/(5+phi) Golden archeotonic
5\33 181.82
182.44
7\46 182.61
2\13 184.62 Optimum rank range (L/s=2/1)
5\32 187.5
8\51 188.235
188.45 L/s = e
3\19 189.47 L/s = 3
189.92 L/s = pi
4\25 192 L/s = 4
5\31 193.55
6\37 194.595
1\6 200