10L 11s: Difference between revisions

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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.
{{MOS intro|Other Names=miracloid}}


{| class="wikitable"
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.
| | 1/10
 
| |
== Intervals ==
| |
{{MOS intervals}}
| |
 
| |
== Scale tree ==
| | 120
{{MOS tuning spectrum
|
| 3/2 = Approximate range for using [[31/29]] as a generator
|-
| 2/1 = Approximate range for using [[46/43]] as a generator
| |
}}
| |
| |
| |
| | 6/61
| | 118.033
|
|-
| |
| |
| |
| | 5/51
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| | 117.647
|
|-
| |
| |
| |
| |
| | 9/92
| | 117.391
|
|-
| |
| |
| |
| |
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| | 117.171
|
|-
| |
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| | 4/41
| |
| |
| | 117.073
|
|-
| |
| |
| |
| |
| |
| | 116.857
|
|-
| |
| |
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| | 11/113
| | 116.814
|
|-
| |
| |
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| | 116.7725
|
|-
| |
| |
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| | 7/72
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| | 116.667
|
|-
| |
| |
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| | 10/103
| | 116.505
|
|-
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| | 3/31
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| | 116.192
|46/43-based miracloid is around here.
|-
| |
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| | 11/114
| | 115.7895
|
|-
| |
| |
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| | 115.763
|
|-
| |
| |
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| | 8/83
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| | 115.663
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|-
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| |
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| | 115.585
|
|-
| |
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| | 13/135
| | 115.556
|
|-
| |
| |
| |
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| | 115.507
|
|-
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| | 5/52
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| | 115.385
|Tricesimoprimal miracloid (using 31/29 as a gen) is around here.
|-
| |
| |
| |
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| | 12/125
| | 115.2
|
|-
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| | 7/73
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| | 115.0865
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|-
| |
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| | 9/94
| | 114.894
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|-
| | 2/21
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| | 114.286
|
|}