1178edo: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|1178}}
+{{ED intro}}
 == Theory ==
@@ Line 9: / Line 9: @@
 === Subsets and supersets ===
-Since 1178 = {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}.
+Since 1178 factors into {{factorization|1178}}, 1178edo is notable for containing both 19 and 31. Its subset edos are {{EDOs| 2, 19, 31, 38, 62, and 589 }}.
 == Regular temperament properties ==
-{{comma basis begin}}
+{| 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
@@ Line 52: / Line 61: @@
 | 2500/2499, 3025/3024, 4225/4224, 4375/4374, 4914/4913, 14875/14872
 | {{mapping| 1178 1867 2735 3307 4075 4359 4815 }}
-| 0.0403
+| +0.0403
 | 0.0327
 | 3.21
@@ Line 59: / Line 68: @@
 | 2500/2499, 3025/3024, 3250/3249, 4200/4199, 4225/4224, 4375/4374, 4914/4913
 | {{mapping| 1178 1867 2735 3307 4075 4359 4815 5004 }}
-| 0.0370
+| +0.0370
 | 0.0318
 | 3.12
-{{comma basis end}}
+|}
 === Rank-2 temperaments ===
-{{rank-2 begin}}
+{| 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
@@ Line 96: / Line 112: @@
 | 4/3<br />(225/224)
 | [[Hemienneadecal]]
-{{rank-2 end}}
+|}
-{{orf}}
+<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
 == Music ==
 ; [[Eliora]]
-* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) &ndash; 217 & 1178 and enneadecal in 1178edo tuning
+* [https://www.youtube.com/watch?v=c9e7MTsIDc4 ''Listening''] (2023) – {{nowrap|217 &amp; 1178}} and enneadecal in 1178edo tuning
 [[Category:Enneadecal]]