648/625: Difference between revisions

@@ Line 1: / Line 1: @@
-'''648/625'''
+{{Infobox Interval
-|3 4 -4&gt;
+| Name = diminished comma, major diesis
+| Color name = g<sup>4</sup>2, quadgu 2nd,<br>Quadgu comma
+| Sound = jid_648_625_pluck_adu_dr220.mp3
+| Comma = yes
+}}
-.5651 cents
+The interval '''648/625''' is known as the '''diminished comma''' or '''major diesis'''. It is the amount by which four [[6/5]] minor thirds exceed an [[2/1|octave]], in other words (6/5)<sup>4</sup> / 2.
-[[File:jid_648_625_pluck_adu_dr220.mp3]] [[:File:jid_648_625_pluck_adu_dr220.mp3|sound sample]]
+== Approximations ==
+This interval is approximately one step of [[19edo]], which is the amount by which four 19edo minor thirds exceed an octave.
-The interval 648/625 (about 62.6 cents) is known as the diminished [[Comma|comma]] or major diesis, and is the amount by which four 6/5 minor thirds exceed an octave, in other words (6/5)^4 / 2. Tempering it out leads to [[5-limit|5-limit]] [[Diminished|diminished temperament]]. This is approximately one step of [[19edo|19edo]], which is the amount by which four 19edo minor thirds exceed an octave.
+== Temperaments ==
-[[Category:comma]]
+Tempering out this comma leads to the [[5-limit]] [[diminished (temperament)|diminished]] temperament.
+[[Category:Diminished]]
+[[Category:Commas named for their regular temperament properties]]