3L 10s

Todo: review Review entries

↖ 2L 9s	↑ 3L 9s	4L 9s ↗
← 2L 10s	3L 10s	4L 10s →
↙ 2L 11s	↓ 3L 11s	4L 11s ↘

Scale structure
Step pattern	LsssLsssLssss ssssLsssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	4\13 to 1\3 (369.2 ¢ to 400.0 ¢)
Dark	2\3 to 9\13 (800.0 ¢ to 830.8 ¢)
TAMNAMS information
Related to	3L 7s (sephiroid)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	3L 7s
Sister	10L 3s
Daughters	13L 3s, 3L 13s
Neutralized	6L 7s
2-Flought	16L 10s, 3L 23s
Equal tunings
Equalized (L:s = 1:1)	4\13 (369.2 ¢)
Supersoft (L:s = 4:3)	13\42 (371.4 ¢)
Soft (L:s = 3:2)	9\29 (372.4 ¢)
Semisoft (L:s = 5:3)	14\45 (373.3 ¢)
Basic (L:s = 2:1)	5\16 (375.0 ¢)
Semihard (L:s = 5:2)	11\35 (377.1 ¢)
Hard (L:s = 3:1)	6\19 (378.9 ¢)
Superhard (L:s = 4:1)	7\22 (381.8 ¢)
Collapsed (L:s = 1:0)	1\3 (400.0 ¢)
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3L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 10 small steps, repeating every octave. 3L 10s is a child scale of 3L 7s, expanding it by 3 tones. Generators that produce this scale range from 369.2 ¢ to 400 ¢, or from 800 ¢ to 830.8 ¢.

Some notable temperaments that form a MOS with this pattern are magic and würschmidt. Of course, magic[13] is still slightly improper and würschmidt[13] is almost totally lopsided (L:s = 6:1 to 8:1). Even so, the excellence of magic temperament as a fit for 13 tone per octave melodic scales and its close affinity to strongly harmonic fifth temperaments make up for the roughness of the major third that 13 tone circles favor multiple times over.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Template:MOS data is deprecated. Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

{{MOS tuning spectrum}