10L 11s: Difference between revisions

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added infobox
The name isn't endorsed by TAMNAMS maintainers
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{{Infobox MOS
{{Infobox MOS
| Name = miracloid
| Name =  
| Periods = 1
| Periods = 1
| nLargeSteps = 10
| nLargeSteps = 10
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| Pattern = sLsLsLsLsLsLsLsLsLsLs
| Pattern = sLsLsLsLsLsLsLsLsLsLs
}}
}}
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).
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). [[User:Eliora|Eliora]] proposes the name ''miracloid'' for this pattern.
If this MOS had a name, it would be miracloid.


{| class="wikitable"
{| class="wikitable"

Revision as of 18:27, 29 May 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
11/114 115.7895
115.763
8/83 115.663
115.585
13/135 115.556
115.507
5/52 115.385
12/125 115.2
7/73 115.0865
9/94 114.894
2/21 114.286