10L 11s: Difference between revisions

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Line 18: Line 18:
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| | 120
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Line 25: Line 26:
| | 6/61
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| | 118.033
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Line 32: Line 34:
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| | 117.647
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Line 39: Line 42:
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| | 117.391
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Line 46: Line 50:
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| | 117.171
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Line 53: Line 58:
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| | 117.073
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Line 60: Line 66:
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| | 116.857
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Line 67: Line 74:
| | 11/113
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| | 116.814
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Line 74: Line 82:
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| | 116.7725
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Line 81: Line 90:
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| | 116.667
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Line 88: Line 98:
| | 10/103
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| | 116.505
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Line 95: Line 106:
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| | 116.192
| | 116.192
|46/43-based miracloid is around here.
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Line 102: Line 114:
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| | 115.7895
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Line 109: Line 122:
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| | 115.763
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Line 116: Line 130:
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| | 115.663
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Line 123: Line 138:
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| | 115.585
| | 115.585
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Line 130: Line 146:
| | 13/135
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| | 115.556
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Line 137: Line 154:
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| | 115.507
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Line 144: Line 162:
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| | 115.385
| | 115.385
|Tricesimoprimal miracloid (using 31/29 as a gen) is around here.
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Line 151: Line 170:
| | 12/125
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| | 115.2
| | 115.2
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Line 158: Line 178:
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| | 115.0865
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Line 165: Line 186:
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| | 114.894
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| | 2/21
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Line 172: Line 194:
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| | 114.286
| | 114.286
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Revision as of 21:05, 11 July 2022

↖ 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
Parent 10L 1s
Sister 11L 10s
Daughters 21L 10s, 10L 21s
Neutralized 20L 1s
2-Flought 31L 11s, 10L 32s
Equal tunings
Equalized (L:s = 1:1) 2\21 (114.3 ¢)
Supersoft (L:s = 4:3) 7\73 (115.1 ¢)
Soft (L:s = 3:2) 5\52 (115.4 ¢)
Semisoft (L:s = 5:3) 8\83 (115.7 ¢)
Basic (L:s = 2:1) 3\31 (116.1 ¢)
Semihard (L:s = 5:2) 7\72 (116.7 ¢)
Hard (L:s = 3:1) 4\41 (117.1 ¢)
Superhard (L:s = 4:1) 5\51 (117.6 ¢)
Collapsed (L:s = 1:0) 1\10 (120.0 ¢)

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 proposes 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
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