← 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 is a MOS pattern generated by a two-third tone or small "trienthird" of 1/10edo (120 cents) to 1/9 (133.333). It appears as the "diatonic" 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.

Scale tree

1/10 120
5/49 122.449
4/39 123.077
7/68 123.529
3/29 124.138
124.525
8/77 124.675
124.766
5/48 125
125.296
7/67 125.373
2/19 126.316
7/66 127.273
5/47 127.66
127.905
8/75 128
128.097
3/28 128.571
128.779
7/65 129.231
4/37 129.73
5/46 130.435
1/9 133.333