413edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|413}} == Theory == 413et is only consistent to the 5-limit. Omitting the harmonics 3 and 7, it can be used until the 31-limit. === Odd harmonics =..."
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|413}}
{{ED intro}}


== Theory ==
== Theory ==
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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" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
|-
|2.9
! rowspan="2" | [[Subgroup]]
|{{monzo|187 -59}}
! rowspan="2" | [[Comma list]]
|{{mapping|413 1309}}
! rowspan="2" | [[Mapping]]
| 0.0820
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.9
| {{monzo|187 -59}}
| {{mapping|413 1309}}
| +0.0820
| 0.0821
| 0.0821
| 2.83
| 2.83
|-
|-
|2.9.5
| 2.9.5
|32805/32768, {{monzo|8 7 -13}}
| 32805/32768, {{monzo|8 7 -13}}
|{{mapping|413 1309 959}}
| {{mapping|413 1309 959}}
| 0.0365
| +0.0365
| 0.0930
| 0.0930
| 3.20
| 3.20
|}
|}