10L 11s: Difference between revisions

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{{Todo|cleanup|inline=1|text=Replace scale tree, transfer entries}}{{Infobox MOS
{{Infobox MOS
| Name =  
| Name =  
| Periods = 1
| Periods = 1
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{{MOS intro|Other Names=miracloid}}
{{MOS intro|Other Names=miracloid}}
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]] has proposed the name ''miracloid'' for this pattern.
This is the simplest MOS for which [[miracle]] temperament can be used{{Clarify}}, placing the low estimate for the boundary of "practicality" at 41edo (L:s = 3:1).


{| class="wikitable"
[[User:Eliora|Eliora]] has proposed the name ''miracloid'' for this pattern.
|-
 
| | 1/10
{{Scale tree|Comments=3/2: Approximate range for using [[31/29]] as a generator;
| |
2/1: Approximate range for using [[46/43]] as a generator}}
| |
| |
| |
| | 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
| |
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| | 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
|
|}

Revision as of 00:15, 1 March 2024

↖ 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 ¢)

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 simplest MOS for which miracle temperament can be used[clarification needed], placing the low estimate for the boundary of "practicality" at 41edo (L:s = 3:1).

Eliora has proposed the name miracloid for this pattern.

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