https://en.xen.wiki/index.php?action=history&feed=atom&title=3-5-7-9-11-13-15_pentatriandekany 2026-07-06T00:12:01Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=3-5-7-9-11-13-15_pentatriandekany&diff=232558&oldid=prev 2026-06-22T06:12:16Z

<p>Create Page.</p> <p><b>New page</b></p><div>[[File:3-5-7-9-11-13-15_Pentatriandekany.png|thumb|Circle diagram.]] The most complex [[15-odd-limit]] [[pentatriandekany]]. This creates a scale of 1 143/140 117/112 15/14 13/12 11/10 9/8 65/56 33/28 143/120 5/4 143/112 9/7 13/10 11/8 39/28 99/70 3/2 429/280 11/7 45/28 13/8 33/20 117/70 143/84 99/56 9/5 11/6 13/7 27/14 39/20 55/28 2/1, with steps of 143/140 45/44 40/39 91/90 66/65 45/44 65/63 66/65 91/90 150/143 143/140 144/143 91/90 55/52 78/77 66/65 35/33 143/140 40/39 45/44 91/90 66/65 78/77 55/54 27/26 56/55 55/54 78/77 27/26 91/90 275/273 56/55. (3 notes are duplicated, reducing this to a 32 note scale) With 14 perfect fifths and plenty more imperfect ones, there are more than enough places that you can construct recognisable chords to work with this, but there are also several gaps approximately the size of a 12edo semitone, which means they do not form a smooth continuum despite the number of notes.<br /> &lt;pre&gt;<br /> ! 3-5-7-9-11-13-15_Pentatriandekany.scl<br /> !<br /> 3 5 7 9 11 13 15 3-combination Pentatriandekany<br /> 32<br /> !<br /> 36.705<br /> 75.611<br /> 119.442<br /> 138.572 <br /> 165.004<br /> 203.910<br /> 258.015<br /> 284.447<br /> 303.576<br /> 386.313 <br /> 423.019<br /> 435.084<br /> 454.213<br /> 551.317<br /> 573.656<br /> 600.088<br /> 701.955<br /> 738.660<br /> 782.492<br /> 821.397<br /> 840.527<br /> 866.959<br /> 889.298<br /> 921.064<br /> 986.402<br /> 1017.596<br /> 1049.362<br /> 1071.701<br /> 1137.039<br /> 1156.168<br /> 1168.805<br /> 1200<br /> &lt;/pre&gt;<br /> <br /> [[Category:Pentatriandekanies]]<br /> [[Category:32-tone scales]]<br /> [[Category:Pages with Scala files]]</div>

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