37edo: Difference between revisions

Godtone (talk | contribs)
m Intervals: add missing very accurate interpretations
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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" | Subgroup
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
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| 2.5
| 2.5
| {{monzo| 86 -37 }}
| {{monzo| 86 -37 }}
| [{{val| 37 86 }}]
| {{mapping| 37 86 }}
| -0.619
| -0.619
| 0.619
| 0.619
Line 596: Line 596:
| 2.5.7
| 2.5.7
| 3136/3125, 4194304/4117715
| 3136/3125, 4194304/4117715
| [{{val| 37 86 104 }}]
| {{mapping| 37 86 104 }}
| -0.905
| -0.905
| 0.647
| 0.647
Line 603: Line 603:
| 2.5.7.11
| 2.5.7.11
| 176/175, 1375/1372, 65536/65219
| 176/175, 1375/1372, 65536/65219
| [{{val| 37 86 104 128 }}]
| {{mapping| 37 86 104 128 }}
| -0.681
| -0.681
| 0.681
| 0.681
Line 610: Line 610:
| 2.5.7.11.13
| 2.5.7.11.13
| 176/175, 640/637, 847/845, 1375/1372
| 176/175, 640/637, 847/845, 1375/1372
| [{{val| 37 86 104 128 137 }}]
| {{mapping| 37 86 104 128 137 }}
| -0.692
| -0.692
| 0.610
| 0.610
| 1.88
| 1.88
|}
|}
 
* 37et is most prominent in the no-3 11-, 13-, 17-, 19- and 23-limit subgroups. The next equal temperaments doing better in these subgroups are 109, 581, 103, 124 and 93, respectively.  
* 37et is most prominent in the no-3 11-, 13-, 17-, 19- and 23-limit subgroups. The next ETs doing better in these subgroups are 109, 581, 103, 124 and 93, respectively.  


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
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|-
|-
| 6\37
| 6\37
| colspan="2" | [[Didacus]] / [[Chromatic_pairs#Roulette|roulette]]
| colspan="2" | [[Didacus]] / [[roulette]]
|-
|-
| 7\37
| 7\37
| [[Chromatic_pairs#Shoe|Shoe]] / [[semaja]]
| [[Shoe]] / [[semaja]]
| [[Chromatic_pairs#Shoe|Shoe]] / [[laconic]] / [[gorgo]]
| [[Shoe]] / [[laconic]] / [[gorgo]]
|-
|-
| 8\37
| 8\37
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| 9\37
| 9\37
|  
|  
| [[Chromatic_pairs#Gariberttet|Gariberttet]]
| [[Gariberttet]]
|-
|-
| 10\37
| 10\37
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|-
|-
| 15\37
| 15\37
| [[The_Biosphere#Ultrapyth|Ultrapyth]], [[Subgroup temperaments#Oceanfront|oceanfront]]
| [[Ultrapyth]], [[oceanfront]]
|  
|  
|-
|-