277edo: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''277EDO''' is the [[EDO|equal division of the octave]] into 277 parts of 4.3321 [[cent]]s each. It is the 59th [[prime EDO]].
+{{EDO intro|277}}
+et tempers out 32805/32768 (schisma) and |-11 -37 30&gt; in the 5-limit.
-It tempers out 32805/32768 (schisma) and |-11 -37 30&gt; in the 5-limit.
 Using the patent val, it tempers out 4375/4374, 65625/65536, and 829440/823543 in the 7-limit; 540/539, 6250/6237, 15488/15435, and 35937/35840 in the 11-limit; 625/624, 729/728, 1573/1568, 2080/2079, and 2200/2197 in the 13-limit.
@@ Line 9: / Line 8: @@
 The patent val [[support]]s the [[pontiac]], and the 277d val supports the [[guiron]] and the [[widefourth]].
+===Prime harmonics===
 {{Harmonics in equal|277}}
+===Subsets and supersets===
+edo is the 59th [[prime EDO]].
+==Regular temperament properties==
+{| class="wikitable center-4 center-5 center-6"
+! rowspan="2" |[[Subgroup]]
+! rowspan="2" |[[Comma list|Comma List]]
+! rowspan="2" |[[Mapping]]
+! rowspan="2" |Optimal<br>8ve Stretch (¢)
+! colspan="2" |Tuning Error
+|-
+![[TE error|Absolute]] (¢)
+![[TE simple badness|Relative]] (%)
+|-
+|2.3
+|{{monzo|-439 277}}
+|{{val|277 439}}
+| 0.0473
+| 0.0473
+| 1.09
+|-
+|2.3.5
+|32805/32768, {{monzo|-11 -37 30}}
+|{{val|277 439 643}}
+| 0.1398
+| 0.1364
+| 3.15
+|}
+=== Rank-2 temperaments ===
+{| class="wikitable center-all left-5"
+|+Table of rank-2 temperaments by generator
+! Periods<br>per 8ve
+! Generator<br>(reduced)
+! Cents<br>(reduced)
+! Associated<br>ratio
+! Temperaments
+|-
+|1
+|115\277
+|498.19
+|4/3
+|[[Helmholtz]]
+|}
 [[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Prime EDO]]