1193edo: Difference between revisions
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m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo| 1891 -1193 }} | | {{monzo| 1891 -1193 }} | ||
| {{mapping| 1193 1891 }} | | {{mapping| 1193 1891 }} | ||
| | | −0.0443 | ||
| 0.0443 | | 0.0443 | ||
| 4.41 | | 4.41 | ||
| Line 24: | Line 33: | ||
| {{monzo| 10 -40 -23 }}, {{monzo| 77 -31 -12 }} | | {{monzo| 10 -40 -23 }}, {{monzo| 77 -31 -12 }} | ||
| {{mapping| 1193 1891 2770 }} | | {{mapping| 1193 1891 2770 }} | ||
| | | −0.0209 | ||
| 0.0491 | | 0.0491 | ||
| 4.88 | | 4.88 | ||
| Line 31: | Line 40: | ||
| 2401/2400, {{monzo| -13 -12 15 -1 }}, {{monzo| 41 -15 -5 -2 }} | | 2401/2400, {{monzo| -13 -12 15 -1 }}, {{monzo| 41 -15 -5 -2 }} | ||
| {{mapping| 1193 1891 2770 3349 }} | | {{mapping| 1193 1891 2770 3349 }} | ||
| | | −0.000028 | ||
| 0.0558 | | 0.0558 | ||
| 5.55 | | 5.55 | ||
| Line 45: | Line 54: | ||
| 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244 | | 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244 | ||
| {{mapping| 1193 1891 2770 3349 4127 4415 }} | | {{mapping| 1193 1891 2770 3349 4127 4415 }} | ||
| | | −0.0121 | ||
| 0.0617 | | 0.0617 | ||
| 6.14 | | 6.14 | ||
| Line 55: | Line 64: | ||
| 0.0664 | | 0.0664 | ||
| 6.60 | | 6.60 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
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| 768/625 | | 768/625 | ||
| [[Dodifo]] | | [[Dodifo]] | ||
|} | |||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | |||
== Music == | == Music == | ||
; [[ | ; [[Francium]] | ||
* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] | [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] | [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] | * "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] | [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] | [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] – in Gross, 1193edo tuning | ||
* ''1193'' (2024) | * ''1193'' (2024) – [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] | [https://francium223.bandcamp.com/album/1193 bandcamp] | [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] – 4-piece EP in 1193edo | ||
* "you PEE?" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/2Ytiwi2HPEOU5xL4rF2aBn Spotify] | [https://francium223.bandcamp.com/track/you-pee Bandcamp] | [https://www.youtube.com/watch?v=zEuvjhOM_K0 YouTube] | |||
[[Category:Listen]] | [[Category:Listen]] | ||