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2026-06-14T06:53:02Z

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[[File:1-3-5-7-11-13-15_Pentatriandekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[pentatriandekany]]. This creates a scale of 1 65/64 33/32 1001/960 13/12 35/32 11/10 143/128 91/80 7/6 143/120 77/64 39/32 5/4 77/60 13/10 21/16 11/8 7/5 91/64 143/96 3/2 91/60 77/48 13/8 55/32 7/4 143/80 11/6 15/8 91/48 77/40 2/1, with steps of 65/64 66/65 91/90 80/77 105/104 176/175 65/64 56/55 40/39 143/140 105/104 78/77 40/39 77/75 78/77 105/104 22/21 56/55 65/64 22/21 144/143 91/90 55/52 78/77 56/55 55/52 143/140 40/39 45/44 91/90 66/65 80/77. (7/4, 11/8 and 13/8 appear twice, reducing this to a 32 note scale) It has 14 perfect fifths, but like the [[1-3-5-7-11-13-15 enaeikosany|corresponding enaeikosany]], they do not form chains longer than two, and that only where there are duplicated notes. In a smaller scale, this combination of factors would form clusters of comma steps separated by larger ones, but here, some of the clusters are large enough that they start blurring into the adjacent ones, giving you fine gradients of pitch control, but only on one side of the scale.

<pre>
! 1-3-5-7-11-13-15_Pentatriandekany.scl
!
1 3 5 7 11 13 15 3-combination Pentatriandekany
32
!
26.841
53.272
72.402
138.572
155.139
165.004
191.845
223.039
266.871
303.576
320.143
342.482
386.313
431.875
454.213
470.781
551.317
582.512
609.353
689.890
701.955
721.084
818.188
840.527
937.631
968.825
1005.531
1049.362
1088.268
1107.398
1133.830
1200
</pre>

[[Category:Pentatriandekanies]]
[[Category:32-tone scales]]
[[Category:Pages with Scala files]]

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