6L 5s

Revision as of 08:40, 13 August 2022 by Frostburn (talk | contribs) (Add TAMNAMS name and notes about the history of the name.)
↖ 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 ¢)

This MOS, generated by a medium major second of 200 (1/6edo) to 218.182 (2/11edo) cents, 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).

Names

The TAMNAMS system calls this scale pattern xeimtonic based on an AI generated image posted to the #xen-memes channel in Xenharmonic Alliance Discord. A temperament called xeimtionic has been crafted to realize this pattern.

 
AI generated image of xenharmonic music theory.
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