BudjarnLambeth at 07:25, 25 April 2026

2026-04-25T07:25:09Z

← Older revision		Revision as of 07:25, 25 April 2026
Line 1:		Line 1:
	[[File:1-3-5-7-9-15_Pentadekany.png\|thumb\|Circle diagram.]] The simplest possible [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 35/32 9/8 7/6 5/4 21/16 45/32 35/24 3/2 25/16 5/3 7/4 15/8 2/1, with steps of 35/32 36/35 28/27 15/14 21/20 15/14 28/27 36/35 25/24 16/15 21/20 15/14 16/15. As with hexanies and dekanies, the 15-odd limit is where we start to see combination product sets with duplicated notes. ((5/4 and 15/8 both appear twice here, reducing it to a 13 note scale) This does at least mean there are no intervals smaller than a quartertone and many simple chords available, but there are still more notes than can fit on a standard keyboard, requiring you to either leave one out to map it in a regular fashion or get used to each note being in a different place as you move from one octave to another.		[[File:1-3-5-7-9-15_Pentadekany.png\|thumb\|Circle diagram.]] The simplest possible [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 35/32 9/8 7/6 5/4 21/16 45/32 35/24 3/2 25/16 5/3 7/4 15/8 2/1, with steps of 35/32 36/35 28/27 15/14 21/20 15/14 28/27 36/35 25/24 16/15 21/20 15/14 16/15. As with hexanies and dekanies, the 15-odd limit is where we start to see combination product sets with duplicated notes. (5/4 and 15/8 both appear twice here, reducing it to a 13 note scale.) This does at least mean there are no intervals smaller than a quartertone and many simple chords available, but there are still more notes than can fit on a standard keyboard, requiring you to either leave one out to map it in a regular fashion or get used to each note being in a different place as you move from one octave to another.

	<pre>		<pre>

Yourmusic Productions: Create Page.

2026-02-13T07:50:54Z

Create Page.

New page

[[File:1-3-5-7-9-15_Pentadekany.png|thumb|Circle diagram.]] The simplest possible [[15-odd-limit]] [[pentadekany]]. This creates a scale of 1 35/32 9/8 7/6 5/4 21/16 45/32 35/24 3/2 25/16 5/3 7/4 15/8 2/1, with steps of 35/32 36/35 28/27 15/14 21/20 15/14 28/27 36/35 25/24 16/15 21/20 15/14 16/15. As with hexanies and dekanies, the 15-odd limit is where we start to see combination product sets with duplicated notes. ((5/4 and 15/8 both appear twice here, reducing it to a 13 note scale) This does at least mean there are no intervals smaller than a quartertone and many simple chords available, but there are still more notes than can fit on a standard keyboard, requiring you to either leave one out to map it in a regular fashion or get used to each note being in a different place as you move from one octave to another.

<pre>
! 1-3-5-7-9-15_Pentadekany.scl
!
1 3 5 7 9 15 2-combination Pentadekany
13
!
155.139
203.910
266.871
386.313
470.781
590.223
653.184
701.955
772.627
884.358
968.825
1088.268
1200
</pre>

[[Category:Pentadekanies]]
[[Category:13-tone scales]]
[[Category:Pages with Scala files]]

1-3-5-7-9-15 pentadekany - Revision history

BudjarnLambeth at 07:25, 25 April 2026

Yourmusic Productions: Create Page.