1861edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|1861}} == Theory == 1861et tempers out 369140625/369098752, 537109375/536870912 and 3025/3024 in the 11-limit; 1181640625/1181599328, 225000/224..." |
Rework as a dual-fifth temp. Suspend the plain-fifth interpretations |
||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|1861}} | {{EDO intro|1861}} | ||
== Theory == | == Theory == | ||
1861edo is only [[consistent]] to the [[5-odd-limit]], and the 3rd harmonic is about halfway between its steps. It has a reasonable approximation of the 2.9.5.7.11 [[subgroup]]. | |||
===Odd harmonics=== | |||
=== Odd harmonics === | |||
{{Harmonics in equal|1861}} | {{Harmonics in equal|1861}} | ||
==Regular temperament properties== | === Subsets and supersets === | ||
1861edo is the 284th [[prime edo]]. 3722edo, which doubles it, provides a good correction to the harmonic 3. | |||
== 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|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" |Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
| | ! [[TE error|Absolute]] (¢) | ||
| | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2. | | 2.9 | ||
| | | {{monzo| -5899 1861 }} | ||
|{{val|1861 | | {{val| 1861 5899 }} | ||
| | | +0.0234 | ||
| 0. | | 0.0234 | ||
| | | 3.63 | ||
|} | |} | ||