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<p><b>New page</b></p><div>[[File:1-3-5-7-9-11-13_Pentatriandekany.png|thumb|Circle diagram.]] The simplest possible [[pentatriandekany]], comprised of three-combination sum products of the first 7 odd numbers. This creates a scale of 1 33/32 1001/960 21/20 13/12 11/10 9/8 91/80 7/6 143/120 39/32 99/80 77/60 13/10 21/16 429/320 11/8 7/5 231/160 117/80 143/96 3/2 91/60 63/40 77/48 13/8 33/20 273/160 7/4 143/80 9/5 11/6 91/48 77/40 39/20 2/1, with steps of 33/32 91/90 144/143 65/63 66/65 45/44 91/90 40/39 143/140 45/44 66/65 28/27 78/77 105/104 143/140 40/39 56/55 33/32 78/77 55/54 144/143 91/90 27/26 55/54 78/77 66/65 91/88 40/39 143/140 144/143 55/54 91/88 66/65 78/77 40/39. This has the same smallest step size as the [[1-3-5-7-9-11-13 enaeikosany|corresponding enaeikosany]], but reduces the size of the largest step to a third-tone, for a ratio of approximately 5.5 between them. It has plenty of perfect fifths, but since it only has factors of 5 in the denominator it does not have a simple major third above the root and 5-limit chords are few in general. At this density of notes it is still possible to construct all kinds of chords both consonant and dissonant all around the scale, even if the precise ratio you want is not always available. <br />
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<pre><br />
! 1-3-5-7-9-11-13_Pentatriandekany.scl<br />
!<br />
1 3 5 7 9 11 13 3-combination Pentatriandekany<br />
35<br />
!<br />
53.272<br />
72.402<br />
84.467<br />
138.572<br />
165.004<br />
203.910<br />
223.039<br />
266.871<br />
303.576<br />
342.482<br />
368.914<br />
431.875<br />
454.213<br />
470.781<br />
507.486<br />
551.317<br />
582.512<br />
635.785<br />
658.123<br />
689.890<br />
701.955<br />
721.084<br />
786.422<br />
818.188<br />
840.527<br />
866.959<br />
924.994<br />
968.825<br />
1005.531<br />
1017.596<br />
1049.362<br />
1107.398<br />
1133.830<br />
1156.168<br />
1200<br />
</pre><br />
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[[Category:Pentatriandekanies]]<br />
[[Category:35-tone scales]]<br />
[[Category:Pages with Scala files]]</div>Yourmusic Productions