764edo: Difference between revisions

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VisualWikitext

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|764}}
+{{ED intro}}
 == Theory ==
@@ Line 8: / Line 8: @@
 === Prime harmonics ===
-{{Harmonics in equal|764|columns=15}}
+{{Harmonics in equal|764|columns=11}}
+{{Harmonics in equal|764|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 764edo (continued)}}
 === Subsets and supersets ===
-Since 764 factors into {{factorization|764}}, 764edo has subset edos 2, 4, 191, and 382. In addition, one step of 764edo is exactly 22 [[jinn]]s ([[16808edo|22\16808]]).
+Since 764 factors into primes as {{nowrap| 2<sup>2</sup> × 191 }}, 764edo has subset edos 2, 4, 191, and 382. In addition, one step of 764edo is exactly 22 [[jinn]]s ([[16808edo|22\16808]]).
 == 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 25: / Line 27: @@
 |-
 | 2.3
-| {{monzo| 1211 -764 }}
+| {{Monzo| 1211 -764 }}
-| {{mapping| 764 1211 }}
+| {{Mapping| 764 1211 }}
-| -0.0439
+| −0.0439
 | 0.0439
 | 2.80
 |-
 | 2.3.5
-| {{monzo| 38 -2 -15 }}, {{monzo| 25 -48 22 }}
+| {{Monzo| 38 -2 -15 }}, {{monzo| 25 -48 22 }}
-| {{mapping| 764 1211 1774 }}
+| {{Mapping| 764 1211 1774 }}
-| -0.0399
+| −0.0399
 | 0.0363
 | 2.31
@@ Line 40: / Line 42: @@
 | 2.3.5.7
 | 4375/4374, 52734375/52706752, {{monzo| 31 -6 -2 -6 }}
-| {{mapping| 764 1211 1774 2145 }}
+| {{Mapping| 764 1211 1774 2145 }}
-| -0.0552
+| −0.0552
 | 0.0412
 | 2.62
@@ Line 47: / Line 49: @@
 | 2.3.5.7.11
 | 3025/3024, 4375/4374, 131072/130977, 35156250/35153041
-| {{mapping| 764 1211 1774 2145 2643 }}
+| {{Mapping| 764 1211 1774 2145 2643 }}
-| -0.0436
+| −0.0436
 | 0.0435
 | 2.77
@@ Line 54: / Line 56: @@
 | 2.3.5.7.11.13
 | 1716/1715, 2080/2079, 3025/3024, 4096/4095, 10549994/10546875
-| {{mapping| 764 1211 1774 2145 2643 2827 }}
+| {{Mapping| 764 1211 1774 2145 2643 2827 }}
-| -0.0267
+| −0.0267
 | 0.0548
 | 3.49
@@ Line 61: / Line 63: @@
 | 2.3.5.7.11.13.17
 | 1716/1715, 2080/2079, 2431/2430, 2500/2499, 4096/4095, 4914/4913
-| {{mapping| 764 1211 1774 2145 2643 2827 3123 }}
+| {{Mapping| 764 1211 1774 2145 2643 2827 3123 }}
-| -0.0327
+| −0.0327
 | 0.0528
 | 3.36
@@ Line 68: / Line 70: @@
 | 2.3.5.7.11.13.17.23
 | 1716/1715, 2080/2079, 2024/2023, 2431/2430, 2500/2499, 3520/3519, 4096/4095
-| {{mapping| 764 1211 1774 2145 2643 2827 3123 3456 }}
+| {{Mapping| 764 1211 1774 2145 2643 2827 3123 3456 }}
-| -0.0286
+| −0.0286
 | 0.0506
 | 3.22
@@ Line 78: / Line 80: @@
 === 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*
 ! Cents*
-! Associated<br>Ratio*
+! Associated<br>ratio*
 ! Temperaments
 |-
@@ Line 95: / Line 98: @@
 | 435.08
 | 9/7
-| [[Supermajor]]
+| [[Supermajor (temperament)|Supermajor]]
 |-
 | 2
@@ Line 109: / Line 112: @@
 | [[Semisupermajor]]
 |}
-<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[Normal forms|minimal form]] in parentheses if distinct
 [[Category:Abigail]]