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2026-06-16T10:13:51Z

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[[File:1-3-5-9-11-13-15_Pentatriandekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[pentatriandekany]]. This creates a scale of 1 65/64 33/32 13/12 11/10 143/128 9/8 143/120 39/32 99/80 5/4 13/10 429/320 11/8 45/32 117/80 143/96 3/2 99/64 13/8 33/20 27/16 55/32 143/80 9/5 117/64 11/6 15/8 39/20 2/1, with steps of 65/64 66/65 104/99 66/65 65/64 144/143 143/135 45/44 66/65 100/99 26/25 33/32 40/39 45/44 26/25 55/54 144/143 33/32 104/99 66/65 45/44 55/54 26/25 144/143 65/64 352/351 45/44 26/25 40/39. (6 notes are duplicated, reducing this to a 29 note scale) It has 18 perfect fifths, plus multiple imperfect but still diatonic ones on top of that. Particularly notable is that it has a diatonic fourth which is sharp by [[1287/1280]] above the root note, which is rare in combination product sets, which usually have a diatonic scale in the lydian mode above the root if they have one at all and require rotating to best translate common practise music to them. That makes this scale particularly accessible for its size as long as you know how to correctly use the comma steps to evade or accentuate dissonance.

<pre>
! 1-3-5-9-11-13-15_Pentatriandekany.scl
!
1 3 5 9 11 13 15 3-combination Pentatriandekany
29
!
26.841
53.272
138.572
165.004
191.845
203.910
303.576
342.482
368.914
386.313
454.213
507.486
551.317
590.223
658.123
689.890
701.955
755.227
840.527
866.959
905.865
937.631
1005.531
1017.596
1044.437
1049.437
1088.268
1156.168
1200
</pre>

[[Category:Pentatriandekanies]]
[[Category:29-tone scales]]
[[Category:Pages with Scala files]]

1-3-5-9-11-13-15 pentatriandekany - Revision history

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