10L 11s: Difference between revisions
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{{MOS intro|Other Names=miracloid}} | {{MOS intro|Other Names=miracloid}} | ||
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). | 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). | ||
[[User:Eliora|Eliora]] has proposed the name ''miracloid'' for this pattern. | [[User:Eliora|Eliora]] has proposed the name ''miracloid'' for this pattern. | ||
{{Scale tree|Comments=3/2: Approximate range for using [[31/29]] as a generator; | {{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}} | 2/1: Approximate range for using [[46/43]] as a generator}} | ||
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
ssLsLsLsLsLsLsLsLsLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
10L 11s 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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Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead.
Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}
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| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 2\21 | 114.286 | 1085.714 | 1:1 | 1.000 | Equalized 10L 11s | |||||
| 11\115 | 114.783 | 1085.217 | 6:5 | 1.200 | ||||||
| 9\94 | 114.894 | 1085.106 | 5:4 | 1.250 | ||||||
| 16\167 | 114.970 | 1085.030 | 9:7 | 1.286 | ||||||
| 7\73 | 115.068 | 1084.932 | 4:3 | 1.333 | Supersoft 10L 11s | |||||
| 19\198 | 115.152 | 1084.848 | 11:8 | 1.375 | ||||||
| 12\125 | 115.200 | 1084.800 | 7:5 | 1.400 | ||||||
| 17\177 | 115.254 | 1084.746 | 10:7 | 1.429 | ||||||
| 5\52 | 115.385 | 1084.615 | 3:2 | 1.500 | Soft 10L 11s | |||||
| 18\187 | 115.508 | 1084.492 | 11:7 | 1.571 | ||||||
| 13\135 | 115.556 | 1084.444 | 8:5 | 1.600 | ||||||
| 21\218 | 115.596 | 1084.404 | 13:8 | 1.625 | ||||||
| 8\83 | 115.663 | 1084.337 | 5:3 | 1.667 | Semisoft 10L 11s | |||||
| 19\197 | 115.736 | 1084.264 | 12:7 | 1.714 | ||||||
| 11\114 | 115.789 | 1084.211 | 7:4 | 1.750 | ||||||
| 14\145 | 115.862 | 1084.138 | 9:5 | 1.800 | ||||||
| 3\31 | 116.129 | 1083.871 | 2:1 | 2.000 | Basic 10L 11s Scales with tunings softer than this are proper | |||||
| 13\134 | 116.418 | 1083.582 | 9:4 | 2.250 | ||||||
| 10\103 | 116.505 | 1083.495 | 7:3 | 2.333 | ||||||
| 17\175 | 116.571 | 1083.429 | 12:5 | 2.400 | ||||||
| 7\72 | 116.667 | 1083.333 | 5:2 | 2.500 | Semihard 10L 11s | |||||
| 18\185 | 116.757 | 1083.243 | 13:5 | 2.600 | ||||||
| 11\113 | 116.814 | 1083.186 | 8:3 | 2.667 | ||||||
| 15\154 | 116.883 | 1083.117 | 11:4 | 2.750 | ||||||
| 4\41 | 117.073 | 1082.927 | 3:1 | 3.000 | Hard 10L 11s | |||||
| 13\133 | 117.293 | 1082.707 | 10:3 | 3.333 | ||||||
| 9\92 | 117.391 | 1082.609 | 7:2 | 3.500 | ||||||
| 14\143 | 117.483 | 1082.517 | 11:3 | 3.667 | ||||||
| 5\51 | 117.647 | 1082.353 | 4:1 | 4.000 | Superhard 10L 11s | |||||
| 11\112 | 117.857 | 1082.143 | 9:2 | 4.500 | ||||||
| 6\61 | 118.033 | 1081.967 | 5:1 | 5.000 | ||||||
| 7\71 | 118.310 | 1081.690 | 6:1 | 6.000 | ||||||
| 1\10 | 120.000 | 1080.000 | 1:0 | → ∞ | Collapsed 10L 11s | |||||