1861edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
1861edo is only [[consistent]] to the [[5-odd-limit]], and the | 1861edo is only [[consistent]] to the [[5-odd-limit]], and the [[harmonic]] [[3/1|3]] is about halfway between its steps. It has a reasonable approximation of the 2.9.5.21.11 [[subgroup]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
1861edo is the 284th [[prime edo]]. 3722edo, which doubles it, provides a good correction to | 1861edo is the 284th [[prime edo]]. 3722edo, which doubles it, provides a good correction to harmonics 3, 7, and 13. | ||
== 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]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
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| 2.9 | | 2.9 | ||
| {{monzo| -5899 1861 }} | | {{monzo| -5899 1861 }} | ||
| {{ | | {{mapping| 1861 5899 }} | ||
| +0.0234 | | +0.0234 | ||
| 0.0234 | | 0.0234 | ||
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|} | |} | ||
==Music== | == Scales == | ||
*[https:// | * [[Helayo14]] | ||
== Music == | |||
; [[Francium]] | |||
* "Happy Apocalypse!" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/59RXlAsYgZynU6YFPfLAYg Spotify] | [https://francium223.bandcamp.com/track/happy-apocalypse Bandcamp] | [https://youtu.be/TD_ULM_Mwso?si=faP-SPfyf6ZmGWA9 YouTube] – helayo in 1861edo tuning | |||
[[Category:Listen]] | |||