1889edo: Difference between revisions
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|1889|columns= | {{Harmonics in equal|1889|columns=9}} | ||
{{Harmonics in equal|1889|columns=9|start=10|title=Approximation of prime harmonics in 1889edo (continued)}} | |||
=== Subsets and supersets === | === Subsets and supersets === | ||
1889edo is the 290th [[prime edo]]. | 1889edo is the 290th [[prime edo]]. | ||
== Intervals == | |||
{{Main|Table of 1889edo intervals}} | |||
== Regular temperament properties == | == Regular temperament properties == | ||
| Line 16: | Line 20: | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 23: | Line 27: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 2994 -1889 }} | ||
| {{ | | {{Mapping| 1889 2994 }} | ||
| −0.0012 | | −0.0012 | ||
| 0.0012 | | 0.0012 | ||
| Line 30: | Line 34: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{ | | {{Monzo| 54 -37 2 }}, {{monzo| -66 -36 53 }} | ||
| {{ | | {{Mapping| 1889 2994 4386 }} | ||
| +0.0104 | | +0.0104 | ||
| 0.0163 | | 0.0163 | ||
| Line 37: | Line 41: | ||
|- | |- | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 4375/4374, | | 4375/4374, {{monzo| -1 4 11 -1 }}, {{monzo| -57 16 10 3 }} | ||
| {{ | | {{Mapping| 1889 2994 4386 5303 }} | ||
| +0.0131 | | +0.0131 | ||
| 0.0149 | | 0.0149 | ||
| Line 44: | Line 48: | ||
|- | |- | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 4375/4374, 151263/151250, 820125/819896, | | 4375/4374, 151263/151250, 820125/819896, {{monzo| -28 7 7 -1 1 }} | ||
| {{ | | {{Mapping| 1889 2994 4386 5303 6535 }} | ||
| +0.0055 | | +0.0055 | ||
| 0.0201 | | 0.0201 | ||
| Line 51: | Line 55: | ||
|- | |- | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 4375/4374, | | 4225/4224, 4375/4374, 6656/6655, 151263/151250, 4100625/4100096 | ||
| {{ | | {{Mapping| 1889 2994 4386 5303 6535 6990 }} | ||
| +0.0084 | | +0.0084 | ||
| 0.0194 | | 0.0194 | ||
| Line 58: | Line 62: | ||
|- | |- | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 4375/4374, 12376/12375 | | 4225/4224, 4375/4374, 6656/6655, 12376/12375, 14875/14872, 194481/194480 | ||
| {{ | | {{Mapping| 1889 2994 4386 5303 6535 6990 7721 }} | ||
| +0.0120 | | +0.0120 | ||
| 0.0200 | | 0.0200 | ||
| Line 65: | Line 69: | ||
|- | |- | ||
| 2.3.5.7.11.13.17.19 | | 2.3.5.7.11.13.17.19 | ||
| 4375/4374 | | 4225/4224, 4375/4374, 5985/5984, 6175/6174, 6656/6655, 12376/12375, 61965/61952 | ||
| {{ | | {{Mapping| 1889 2994 4386 5303 6535 6990 7721 8024 }} | ||
| +0.0167 | | +0.0167 | ||
| 0.0226 | | 0.0226 | ||
| Line 76: | Line 80: | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 85: | Line 89: | ||
| 392\1889 | | 392\1889 | ||
| 249.021 | | 249.021 | ||
| {{ | | {{Monzo| -26 18 1 }} | ||
| [[Monzismic]] | | [[Monzismic]] | ||
|- | |- | ||
| Line 94: | Line 98: | ||
| [[Semidimi]] | | [[Semidimi]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[ | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[normal lists|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||
; [[Francium]] | ; [[Francium]] | ||
* "Scoop" from ''Scoop'' (2024) – [https://open.spotify.com/track/7stqQkZKeaaonzwH2rnhzH Spotify] | [https://francium223.bandcamp.com/track/scoop Bandcamp] | [https://www.youtube.com/watch?v=387kUkmHIrk YouTube] | * "Scoop" from ''Scoop'' (2024) – [https://open.spotify.com/track/7stqQkZKeaaonzwH2rnhzH Spotify] | [https://francium223.bandcamp.com/track/scoop Bandcamp] | [https://www.youtube.com/watch?v=387kUkmHIrk YouTube] | ||
* "The Technological Harbinger of Death" from ''Void'' (2025) – [https://open.spotify.com/track/3LDPz84VhVrTDgPLHQXWyJ YouTube] | [https://francium223.bandcamp.com/track/the-technological-harbinger-of-death Bandcamp] | [https://www.youtube.com/watch?v=CEeXQsHpCc8 YouTube] | |||
* "Don't Worry" from ''Don't'' (2025) – [https://open.spotify.com/track/3Kd1Ql1nYOBMhFWi94ljEP Spotify] | [https://francium223.bandcamp.com/track/dont-worry Bandcamp] | [https://www.youtube.com/watch?v=8CCFVZkxIgk YouTube] | |||
[[Category:Monzismic]] | [[Category:Monzismic]] | ||