User:Moremajorthanmajor/7L 4s (11/4-equivalent)

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↖ 6L 3s⟨11/4⟩ ↑ 7L 3s⟨11/4⟩ 8L 3s⟨11/4⟩ ↗
← 6L 4s⟨11/4⟩ 7L 4s<11/4> 8L 4s⟨11/4⟩ →
↙ 6L 5s⟨11/4⟩ ↓ 7L 5s⟨11/4⟩ 8L 5s⟨11/4⟩ ↘ 
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│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLLsLLsLs
sLsLLsLLsLL
Equave 11/4 (1751.3 ¢)
Period 11/4 (1751.3 ¢)
Generator size(ed11/4)
Bright 3\11 to 2\7 (477.6 ¢ to 500.4 ¢)
Dark 5\7 to 8\11 (1250.9 ¢ to 1273.7 ¢)
Related MOS scales
Parent 4L 3s⟨11/4⟩
Sister 4L 7s⟨11/4⟩
Daughters 11L 7s⟨11/4⟩, 7L 11s⟨11/4⟩
Neutralized 3L 8s⟨11/4⟩
2-Flought 18L 4s⟨11/4⟩, 7L 15s⟨11/4⟩
Equal tunings(ed11/4)
Equalized (L:s = 1:1) 3\11 (477.6 ¢)
Supersoft (L:s = 4:3) 11\40 (481.6 ¢)
Soft (L:s = 3:2) 8\29 (483.1 ¢)
Semisoft (L:s = 5:3) 13\47 (484.4 ¢)
Basic (L:s = 2:1) 5\18 (486.5 ¢)
Semihard (L:s = 5:2) 12\43 (488.7 ¢)
Hard (L:s = 3:1) 7\25 (490.4 ¢)
Superhard (L:s = 4:1) 9\32 (492.6 ¢)
Collapsed (L:s = 1:0) 2\7 (500.4 ¢)

7L 4s⟨11/4⟩ is a 11/4-equivalent (non-octave) moment of symmetry scale containing 7 large steps and 4 small steps, repeating every interval of 11/4 (1751.3 ¢). Generators that produce this scale range from 477.6 ¢ to 500.4 ¢, or from 1250.9 ¢ to 1273.7 ¢.Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.

Scale tree

Scale tree and tuning spectrum of 7L 4s⟨11/4⟩
Generator(ed11/4) Cents Step ratio Comments
Bright Dark L:s Hardness
3\11 477.632 1273.686 1:1 1.000 Equalized 7L 4s⟨11/4⟩
17\62 480.200 1271.118 6:5 1.200
14\51 480.754 1270.564 5:4 1.250
25\91 481.131 1270.187 9:7 1.286
11\40 481.612 1269.706 4:3 1.333 Supersoft 7L 4s⟨11/4⟩
30\109 482.014 1269.304 11:8 1.375
19\69 482.247 1269.071 7:5 1.400
27\98 482.506 1268.812 10:7 1.429
8\29 483.122 1268.196 3:2 1.500 Soft 7L 4s⟨11/4⟩
29\105 483.697 1267.621 11:7 1.571
21\76 483.917 1267.401 8:5 1.600
34\123 484.104 1267.214 13:8 1.625
13\47 484.407 1266.911 5:3 1.667 Semisoft 7L 4s⟨11/4⟩
31\112 484.740 1266.578 12:7 1.714
18\65 484.980 1266.338 7:4 1.750
23\83 485.305 1266.013 9:5 1.800
5\18 486.477 1264.841 2:1 2.000 Basic 7L 4s⟨11/4⟩
Scales with tunings softer than this are proper
22\79 487.709 1263.609 9:4 2.250
17\61 488.072 1263.246 7:3 2.333
29\104 488.348 1262.970 12:5 2.400
12\43 488.740 1262.578 5:2 2.500 Semihard 7L 4s⟨11/4⟩
31\111 489.107 1262.211 13:5 2.600
19\68 489.339 1261.979 8:3 2.667
26\93 489.616 1261.702 11:4 2.750
7\25 490.369 1260.949 3:1 3.000 Hard 7L 4s⟨11/4⟩
23\82 491.223 1260.095 10:3 3.333
16\57 491.598 1259.720 7:2 3.500
25\89 491.943 1259.375 11:3 3.667
9\32 492.558 1258.760 4:1 4.000 Superhard 7L 4s⟨11/4⟩
20\71 493.329 1257.989 9:2 4.500
11\39 493.961 1257.356 5:1 5.000
13\46 494.938 1256.380 6:1 6.000
2\7 500.377 1250.941 1:0 → ∞ Collapsed 7L 4s⟨11/4⟩
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