1193edo: Difference between revisions

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@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|1193}}
+{{ED intro}}
 == Theory ==
-et tempers out [[2401/2400]] in the 7-limit; [[117440512/117406179]], 26214400/26198073, 151263/151250, 369140625/369098752, 537109375/536870912, [[3025/3024]], [[41503/41472]] and 781258401/781250000 in the 11-limit. It supports the [[gross]] temperament.
+edo is [[consistent]] to the [[11-odd-limit]]. As an equal temperament, it [[tempering out|tempers out]] {{monzo| 144 -22 -47 }} (gross comma) in the 5-limit; [[2401/2400]] in the 7-limit; [[3025/3024]], [[41503/41472]], 151263/151250, 17561600/17537553, 26214400/26198073, 95703125/95664294, and [[117440512/117406179]] in the 11-limit.
 === Prime harmonics ===
@@ Line 13: / Line 13: @@
 == Regular temperament properties ==
 {| class="wikitable center-4 center-5 center-6"
+|-
 ! rowspan="2" | [[Subgroup]]
-! rowspan="2" | [[Comma list|Comma List]]
+! rowspan="2" | [[Comma list]]
 ! 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]] (¢)
@@ Line 24: / Line 25: @@
 | 2.3
 | {{monzo| 1891 -1193 }}
-| {{val| 1193 1891 }}
+| {{mapping| 1193 1891 }}
-| -0.0443
+| −0.0443
 | 0.0443
-| 4.40
+| 4.41
 |-
 | 2.3.5
 | {{monzo| 10 -40 -23 }}, {{monzo| 77 -31 -12 }}
-| {{val| 1193 1891 2770 }}
+| {{mapping| 1193 1891 2770 }}
-| -0.0209
+| −0.0209
 | 0.0491
 | 4.88
@@ Line 38: / Line 39: @@
 | 2.3.5.7
 | 2401/2400, {{monzo| -13 -12 15 -1 }}, {{monzo| 41 -15 -5 -2 }}
-| {{val| 1193 1891 2770 3349 }}
+| {{mapping| 1193 1891 2770 3349 }}
-| -0.000028
+| −0.000028
 | 0.0558
 | 5.55
@@ Line 45: / Line 46: @@
 | 2.3.5.7.11
 | 2401/2400, 3025/3024, 17561600/17537553, 95703125/95664294
-| {{val| 1193 1891 2770 3349 4127 }}
+| {{mapping| 1193 1891 2770 3349 4127 }}
 | +0.0059
 | 0.0513
@@ Line 52: / Line 53: @@
 | 2.3.5.7.11.13
 | 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244
-| {{val| 1193 1891 2770 3349 4127 4415 }}
+| {{mapping| 1193 1891 2770 3349 4127 4415 }}
-| -0.0121
+| −0.0121
 | 0.0617
-| 6.13
+| 6.14
 |-
 | 2.3.5.7.11.13.17
 | 2401/2400, 2431/2430, 2601/2600, 3025/3024, 4096/4095, 42500/42471
-| {{val|1193 1891 2770 3349 4127 4415 4876 }}
+| {{mapping| 1193 1891 2770 3349 4127 4415 4876 }}
 | +0.0017
 | 0.0664
@@ Line 67: / Line 68: @@
 === Rank-2 temperaments ===
 {| class="wikitable center-all left-5"
-|+Table of rank-2 temperaments by generator
+|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
-! Periods<br>per 8ve
+|-
-! Generator<br>(Reduced)
+! Periods<br />per 8ve
-! Cents<br>(Reduced)
+! Generator*
-! Associated<br>Ratio
+! Cents*
+! Associated<br />ratio*
 ! Temperaments
 |-
-|1
+| 1
-|91\1193
+| 91\1193
-|91.534
+| 91.534
-|{{monzo|144 -22 -47}}
+| {{monzo| 144 -22 -47 }}
-|[[Gross]]
+| [[Gross]]
 |-
-|1
+| 1
-|257\1193
+| 257\1193
-|258.508
+| 258.508
-|125/108
+| 125/108
-|[[Lafa]]
+| [[Lafa]]
 |-
-|1
+| 1
-|355\1193
+| 355\1193
-|357.083
+| 357.083
-|768/625
+| 768/625
-|[[Dodifo]]
+| [[Dodifo]]
 |}
+<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
 == Music ==
-* [https://www.youtube.com/watch?v=FRdrzOkAKic I Made A Gross Mistake] by Francium
+; [[User:Francium|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] – gross in 1193edo
+* ''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
+[[Category:Listen]]