9L 1s

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← 8L 1s 9L 1s 10L 1s →
↙ 8L 2s ↓ 9L 2s 10L 2s ↘
┌╥╥╥╥╥╥╥╥╥┬┐
│║║║║║║║║║││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLLLLs
sLLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\10 to 1\9 (120.0 ¢ to 133.3 ¢)
Dark 8\9 to 9\10 (1066.7 ¢ to 1080.0 ¢)
TAMNAMS information
Name sinatonic
Prefix sina-
Abbrev. si
Related MOS scales
Parent 1L 8s
Sister 1L 9s
Daughters 10L 9s, 9L 10s
Neutralized 8L 2s
2-Flought 19L 1s, 9L 11s
Equal tunings
Equalized (L:s = 1:1) 1\10 (120.0 ¢)
Supersoft (L:s = 4:3) 4\39 (123.1 ¢)
Soft (L:s = 3:2) 3\29 (124.1 ¢)
Semisoft (L:s = 5:3) 5\48 (125.0 ¢)
Basic (L:s = 2:1) 2\19 (126.3 ¢)
Semihard (L:s = 5:2) 5\47 (127.7 ¢)
Hard (L:s = 3:1) 3\28 (128.6 ¢)
Superhard (L:s = 4:1) 4\37 (129.7 ¢)
Collapsed (L:s = 1:0) 1\9 (133.3 ¢)

9L 1s, named sinatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 120 ¢ to 133.3 ¢, or from 1066.7 ¢ to 1080 ¢. Scales of this form are always proper because there is only one small step. It appears as the albitonic scale in temperaments such as Negri and Twothirdtonic.

Names

The TAMNAMS system calls this scale pattern sinatonic after sinaic, a proposed interval category name for 14/13-like intervals that generate the scale. Graham Breed's MOS naming calls this the "Grumpy" decatonic scale.

Modes

Modes of 9L 1s
UDP Cyclic
order
Step
pattern
9|0 1 LLLLLLLLLs
8|1 2 LLLLLLLLsL
7|2 3 LLLLLLLsLL
6|3 4 LLLLLLsLLL
5|4 5 LLLLLsLLLL
4|5 6 LLLLsLLLLL
3|6 7 LLLsLLLLLL
2|7 8 LLsLLLLLLL
1|8 9 LsLLLLLLLL
0|9 10 sLLLLLLLLL

Scale tree

Template:Scale tree