10L 11s

Todo: cleanup

Replace scale tree, transfer entries

↖ 9L 10s	↑ 10L 10s	11L 10s ↗
← 9L 11s	10L 11s	11L 11s →
↙ 9L 12s	↓ 10L 12s	11L 12s ↘

┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐
│║│║│║│║│║│║│║│║│║│║│││
│││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘

Scale structure

Step pattern

LsLsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsLsL

Equave

2/1 (1200.0 ¢)

Period

2/1 (1200.0 ¢)

Generator size

Bright

2\21 to 1\10 (114.3 ¢ to 120.0 ¢)

Dark

9\10 to 19\21 (1080.0 ¢ to 1085.7 ¢)

TAMNAMS information

Related to

1L 9s (antisinatonic)

With tunings

1:1 to 3:2 (soft)

Related MOS scales

Equal tunings

Equalized (L:s = 1:1)

2\21 (114.3 ¢)

Supersoft (L:s = 4:3)

7\73 (115.1 ¢)

5\52 (115.4 ¢)

8\83 (115.7 ¢)

3\31 (116.1 ¢)

7\72 (116.7 ¢)

4\41 (117.1 ¢)

Superhard (L:s = 4:1)

5\51 (117.6 ¢)

Collapsed (L:s = 1:0)

1\10 (120.0 ¢)

10L 11s, also called miracloid, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 11 small steps, repeating every octave. 10L 11s is a grandchild scale of 1L 9s, expanding it by 11 tones. Generators that produce this scale range from 114.3 ¢ to 120 ¢, or from 1080 ¢ to 1085.7 ¢. This is the MOS which splits its large steps 1-1-1-1-1-1-1-1-1-2 between its small steps. It is the simplest MOS which is really useful for Miracle temperament, placing the low estimate for the boundary of "practicality" at 41edo (L:s = 3:1). Its diatonic semitone generator is no smaller than 2/21edo (114.286 cents). Eliora has proposed the name miracloid for this pattern.

1/10					120
				6/61	118.033
			5/51		117.647
				9/92	117.391
					117.171
		4/41			117.073
					116.857
				11/113	116.814
					116.7725
			7/72		116.667
				10/103	116.505
	3/31				116.192	46/43-based miracloid is around here.
				11/114	115.7895
					115.763
			8/83		115.663
					115.585
				13/135	115.556
					115.507
		5/52			115.385	Tricesimoprimal miracloid (using 31/29 as a gen) is around here.
				12/125	115.2
			7/73		115.0865
				9/94	114.894
2/21					114.286