User:Francium/2447edo: Difference between revisions
Created page with "{{Infobox ET}} {{ED intro}} == Theory == 2447edo is inconsistent to the 5-limit and the error of its harmonic 3 is very high. It is strong in the 2.9.15.21.13.17.23.31 subgroup, tempering out 256000/255879, 11662/11661, 213003/212992, 352625/352512, 22816/22815, 469625/469476 and 492128/492075. === Odd harmonics === {{Harmonics in equal|2447}} === Subsets and supersets === 2447edo is the 363rd prime edo." |
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=== Subsets and supersets === | === Subsets and supersets === | ||
2447edo is the 363rd [[prime edo]]. | 2447edo is the 363rd [[prime edo]]. [[4894edo]], which doubles it, gives a good correction to its harmonic 3. | ||
== Regular temperament properties == | |||
{| 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 | |||
| {{monzo|7757 -2447}} | |||
| {{mapping|2447 7757}} | |||
| −0.0150 | |||
| 0.0150 | |||
| 3.06 | |||
|- | |||
| 2.9.5 | |||
| {{monzo|93 -33 5}}, {{monzo|82 32 -79}} | |||
| {{mapping|2447 7757 5682}} | |||
| −0.0270 | |||
| 0.0210 | |||
| 4.28 | |||
|- | |||
| 2.9.5.7 | |||
| 184528125/184473632, 2567836929097728/2564544677734375, 54975581388800000/54927178684361361 | |||
| {{mapping|2447 7757 5682 6870}} | |||
| −0.0378 | |||
| 0.0261 | |||
| 5.32 | |||
|} | |||
== Music == | |||
; [[Francium]] | |||
* "grelcs" from ''Bumbos'' (2026) – [https://open.spotify.com/track/1uGmWuiPF7exKSXJx5jAs7 Spotify] | [https://francium223.bandcamp.com/track/grelcs Bandcamp] | [https://www.youtube.com/watch?v=q8UGinj_-eY YouTube] – in Grendel, 2447edo tuning | |||