14L 13s

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↖13L 12s ↑14L 12s 15L 12s↗
←13L 13s14L 13s 15L 13s→
↙13L 14s ↓14L 14s 15L 14s↘
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Scale structure
Step pattern LLsLsLsLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Step size ranges
Large 1\27 to 1\14 (44.4¢ to 85.7¢)
Small 0\14 to 1\27 (0.0¢ to 44.4¢)
Generator size
Bright 25\27 to 13\14 (1111.1¢ to 1114.3¢)
Dark 1\14 to 2\27 (85.7¢ to 88.9¢)
TAMNAMS information
Descends from 1L 9s (antisinatonic)
Related MOS scales
Parent 13L 1s
Sister 13L 14s
Daughters 27L 14s
14L 27s
Equal tunings
Equalized (L:s = 1:1) 25\27 (1111.1¢)
Supersoft (L:s = 4:3) 88\95 (1111.6¢)
Soft (L:s = 3:2) 63\68 (1111.8¢)
Semisoft (L:s = 5:3) 101\109 (1111.9¢)
Basic (L:s = 2:1) 38\41 (1112.2¢)
Semihard (L:s = 5:2) 89\96 (1112.5¢)
Hard (L:s = 3:1) 51\55 (1112.7¢)
Superhard (L:s = 4:1) 64\69 (1113.0¢)
Collapsed (L:s = 1:0) 13\14 (1114.3¢)

14L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 13 small steps, repeating every octave. 14L 13s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 1111.1¢ to 1114.3¢, or from 85.7¢ to 88.9¢.

The harmonic entropy minimum for this scale has +8 dark generators equal 3/2, which is approximately 41edo.

Scale tree and tuning spectrum of 14L 13s
Generator (in steps of edo) Cents Step ratio Comments
Bright Dark L:s Hardness
25\27 1111.111 88.889 1:1 1.000 Equalized 14L 13s
138\149 1111.409 88.591 6:5 1.200
113\122 1111.475 88.525 5:4 1.250
201\217 1111.521 88.479 9:7 1.286
88\95 1111.579 88.421 4:3 1.333 Supersoft 14L 13s
239\258 1111.628 88.372 11:8 1.375
151\163 1111.656 88.344 7:5 1.400
214\231 1111.688 88.312 10:7 1.429
63\68 1111.765 88.235 3:2 1.500 Soft 14L 13s
227\245 1111.837 88.163 11:7 1.571
164\177 1111.864 88.136 8:5 1.600
265\286 1111.888 88.112 13:8 1.625
101\109 1111.927 88.073 5:3 1.667 Semisoft 14L 13s
240\259 1111.969 88.031 12:7 1.714
139\150 1112.000 88.000 7:4 1.750
177\191 1112.042 87.958 9:5 1.800
38\41 1112.195 87.805 2:1 2.000 Basic 14L 13s
Scales with tunings softer than this are proper
165\178 1112.360 87.640 9:4 2.250
127\137 1112.409 87.591 7:3 2.333
216\233 1112.446 87.554 12:5 2.400
89\96 1112.500 87.500 5:2 2.500 Semihard 14L 13s
229\247 1112.551 87.449 13:5 2.600
140\151 1112.583 87.417 8:3 2.667
191\206 1112.621 87.379 11:4 2.750
51\55 1112.727 87.273 3:1 3.000 Hard 14L 13s
166\179 1112.849 87.151 10:3 3.333
115\124 1112.903 87.097 7:2 3.500
179\193 1112.953 87.047 11:3 3.667
64\69 1113.043 86.957 4:1 4.000 Superhard 14L 13s
141\152 1113.158 86.842 9:2 4.500
77\83 1113.253 86.747 5:1 5.000
90\97 1113.402 86.598 6:1 6.000
13\14 1114.286 85.714 1:0 → ∞ Collapsed 14L 13s