7L 4s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS
| Name =  
| Name = sixixoid
| Periods = 1
| Periods = 1
| nLargeSteps = 7
| nLargeSteps = 7
Line 9: Line 9:
}}
}}


This MOS has a generator of an augmented minor or diminished neutral third of 327.273 (3/11edo) to 342.857 (2/7edo) cents. Its harmonic entropy minimum, insofar as it may be said to have one, is improper (Amity/Hitchcock/Sixix) and also tonally awkward because its large and steps are extremely unequal (L>=4 s=1). However, it is still notable for representing 17:14 with tolerable accuracy for as much as that's worth.
'''7L 4s''' or '''sixixoid''' has a generator of an augmented minor or diminished neutral third of 327.273 (3/11edo) to 342.857 (2/7edo) cents. Its harmonic entropy minimum, insofar as it may be said to have one, is improper (Amity/Hitchcock/Sixix) and also tonally awkward because its large and steps are extremely unequal (L>=4 s=1). However, it is still notable for representing 17:14 with tolerable accuracy for as much as that's worth.


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Revision as of 01:40, 11 April 2021

↖ 6L 3s ↑ 7L 3s 8L 3s ↗
← 6L 4s 7L 4s 8L 4s →
↙ 6L 5s ↓ 7L 5s 8L 5s ↘
┌╥╥┬╥╥┬╥╥┬╥┬┐
│║║│║║│║║│║││
│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLs
sLsLLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\11 to 2\7 (327.3 ¢ to 342.9 ¢)
Dark 5\7 to 8\11 (857.1 ¢ to 872.7 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 4L 3s
Sister 4L 7s
Daughters 11L 7s, 7L 11s
Neutralized 3L 8s
2-Flought 18L 4s, 7L 15s
Equal tunings
Equalized (L:s = 1:1) 3\11 (327.3 ¢)
Supersoft (L:s = 4:3) 11\40 (330.0 ¢)
Soft (L:s = 3:2) 8\29 (331.0 ¢)
Semisoft (L:s = 5:3) 13\47 (331.9 ¢)
Basic (L:s = 2:1) 5\18 (333.3 ¢)
Semihard (L:s = 5:2) 12\43 (334.9 ¢)
Hard (L:s = 3:1) 7\25 (336.0 ¢)
Superhard (L:s = 4:1) 9\32 (337.5 ¢)
Collapsed (L:s = 1:0) 2\7 (342.9 ¢)

7L 4s or sixixoid has a generator of an augmented minor or diminished neutral third of 327.273 (3/11edo) to 342.857 (2/7edo) cents. Its harmonic entropy minimum, insofar as it may be said to have one, is improper (Amity/Hitchcock/Sixix) and also tonally awkward because its large and steps are extremely unequal (L>=4 s=1). However, it is still notable for representing 17:14 with tolerable accuracy for as much as that's worth.

3/11 327.273
14/51 329.412
11/40 330
19/69 330.435
8/29 331.0335
331.425
21/76 331.579
331.672
13/47 331.915
332.2255
18/65 332.308
5/18 333.33
17/61 334.426
12/43 334.884
335.179
19/68 335.294
335.413
7/25 336
336.2615
16/57 336.842
9/32 337.5
11/39 338.4615
2/7 342.857