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7L 4s: Difference between revisions

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'''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.
'''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.


{| class="wikitable"
== Scale tree ==
{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
|-
| | 3/11
| 3\11 || || || || || || 327.273 || 1 || 1 || 1.000 ||
| |  
| |  
| |  
| |  
| | 327.273
|-
|-
| |  
| || || || || || 17\62 || 329.032 || 6 || 5 || 1.200 ||
| |  
| |  
| |  
| | 14/51
| | 329.412
|-
|-
| |  
| || || || || 14\51 || || 329.412 || 5 || 4 || 1.250 ||
| |  
| |  
| | 11/40
| |  
| | 330
|-
|-
| |  
| || || || || || 25\91 || 329.670 || 9 || 7 || 1.286 ||
| |  
| |  
| |  
| | 19/69
| | 330.435
|-
|-
| |  
| || || || 11\40 || || || 330.000 || 4 || 3 || 1.333 ||
| |  
| | 8/29
| |  
| |  
| | 331.0335
|-
|-
| |  
| || || || || || 30\109 || 330.275 || 11 || 8 || 1.375 ||
| |  
| |  
| |  
| |  
| | 331.425
|-
|-
| |  
| || || || || 19\69 || || 330.435 || 7 || 5 || 1.400 ||
| |  
| |  
| |  
| | 21/76
| | 331.579
|-
|-
| |  
| || || || || || 27\98 || 330.612 || 10 || 7 || 1.428 ||
| |  
| |  
| |  
| |  
| | 331.672
|-
|-
| |  
| || || 8\29 || || || || 331.034 || 3 || 2 || 1.500 || L/s = 3/2
| |  
| |  
| | 13/47
| |  
| | 331.915
|-
|-
| |  
| || || || || || 29\105 || 331.429 || 11 || 7 || 1.571 ||
| |  
| |  
| |  
| |  
| | 332.2255
|-
|-
| |  
| || || || || 21\76 || || 331.579 || 8 || 5 || 1.600 ||
| |  
| |  
| |  
| | 18/65
| | 332.308
|-
|-
| |  
| || || || || || 34\123 || 331.707 || 13 || 8 || 1.625 || Unnamed golden tuning
| | 5/18
| |  
| |  
| |  
| | 333.33
|-
|-
| |  
| || || || 13\47 || || || 331.915 || 5 || 3 || 1.667 ||
| |  
| |  
| |  
| | 17/61
| | 334.426
|-
|-
| |  
| || || || || || 31\112 || 332.143 || 12 || 7 || 1.714 ||
| |  
| |  
| | 12/43
| |  
| | 334.884
|-
|-
| |  
| || || || || 18\65 || || 332.308 || 7 || 4 || 1.750 ||
| |  
| |  
| |  
| |  
| | 335.179
|-
|-
| |  
| || || || || || 23\83 || 332.530 || 9 || 5 || 1.800 ||
| |  
| |  
| |  
| | 19/68
| | 335.294
|-
|-
| |  
| || 5\18 || || || || || 333.333 || 2 || 1 || 2.000 || Basic sixixoid<br>(Generators smaller than this are proper)
| |  
| |  
| |  
| |  
| | 335.413
|-
|-
| |  
| || || || || || 22\79 || 334.177 || 9 || 4 || 2.250 ||
| |  
| | 7/25
| |  
| |  
| | 336
|-
|-
| |  
| || || || || 17\61 || || 334.426 || 7 || 3 || 2.333 ||
| |  
| |  
| |  
| |  
| | 336.2615
|-
|-
| |  
| || || || || || 29\104 || 334.615 || 12 || 5 || 2.400 ||
| |  
| |  
| |  
| | 16/57
| | 336.842
|-
|-
| |  
| || || || 12\43 || || || 334.884 || 5 || 2 || 2.500 ||
| |  
| |  
| | 9/32
| |  
| | 337.5
|-
|-
| |  
| || || || || || 31\111 || 335.135 || 13 || 5 || 2.600 || Unnamed golden tuning
| |  
| |  
| |  
| | 11/39
| | 338.4615
|-
|-
| | 2/7
| || || || || 19\68 || || 335.294 || 8 || 3 || 2.667 ||
| |  
|-
| |  
| || || || || || 26\93 || 335.484 || 11 || 4 || 2.750 ||
| |  
|-
| |  
| || || 7\25 || || || || 336.000 || 3 || 1 || 3.000 || L/s = 3/1
| | 342.857
|-
| || || || || || 23\82 || 336.585 || 10 || 3 || 3.333 ||
|-
| || || || || 16\57 || || 336.842 || 7 || 2 || 3.500 ||
|-
| || || || || || 25\89 || 337.079 || 11 || 3 || 3.667 ||
|-
| || || || 9\32 || || || 337.500 || 4 || 1 || 4.000 || Sixix
|-
| || || || || || 20\71 || 338.028 || 9 || 2 || 4.500 ||
|-
| || || || || 11\39 || || 338.462 || 5 || 1 || 5.000 ||
|-
| || || || || || 13\46 || 339.130 || 6 || 1 || 6.000 || Amity/hitchcock↓
|-
| 2\7 || || || || || || 342.857 || 1 || 0 || → inf ||
|}
|}


[[Category:Scales]]
[[Category:Scales]]
[[Category:MOS scales]]
[[Category:MOS scales]]
[[Category:11-tone scales]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
Retrieved from "https://en.xen.wiki/w/7L_4s"