3-5-7-11-13 dekany - Revision history

Yourmusic Productions: Not rotated.

2025-12-16T19:28:10Z

Not rotated.

← Older revision		Revision as of 19:28, 16 December 2025
Line 1:		Line 1:
	[[File:3-5-7-11-13_Dekany.png\|thumb\|Circle diagram ~~(rotated)~~.]] The simplest [[Dekany]] comprised entirely out of prime numbers. This creates a scale of 1 13/12 11/10 7/6 143/120 77/60 13/10 7/5 91/60 11/6 2/1, with steps of 13/12 66/65 35/33 143/140 154/143 78/77 14/13 13/12 110/91 12/11. While it does hit many simple composite intervals, as it has no factors of 2 in it, it is completely devoid of any pure harmonics, making for a very xenharmonic sound overall. It it also very lopsided, with multiple tiny intervals and a gap of over 300 cents near the end. The closest thing to a perfect fifth is the [[91/90]] sharp one above the root, which is indistinguishable from a [[5edo]] one.		[[File:3-5-7-11-13_Dekany.png\|thumb\|Circle diagram.]] The simplest [[Dekany]] comprised entirely out of prime numbers. This creates a scale of 1 13/12 11/10 7/6 143/120 77/60 13/10 7/5 91/60 11/6 2/1, with steps of 13/12 66/65 35/33 143/140 154/143 78/77 14/13 13/12 110/91 12/11. While it does hit many simple composite intervals, as it has no factors of 2 in it, it is completely devoid of any pure harmonics, making for a very xenharmonic sound overall. It it also very lopsided, with multiple tiny intervals and a gap of over 300 cents near the end. The closest thing to a perfect fifth is the [[91/90]] sharp one above the root, which is indistinguishable from a [[5edo]] one.

	<pre>		<pre>

Yourmusic Productions: Fix math error.

2025-12-16T19:27:33Z

Fix math error.

← Older revision		Revision as of 19:27, 16 December 2025
Line 5:		Line 5:
	!		!
	3 5 7 11 13 2-combination Dekany		3 5 7 11 13 2-combination Dekany
	6		10
	!		!
	138.572		138.572

Yourmusic Productions: Create Page.

2025-12-14T19:05:09Z

Create Page.

New page

[[File:3-5-7-11-13_Dekany.png|thumb|Circle diagram (rotated).]] The simplest [[Dekany]] comprised entirely out of prime numbers. This creates a scale of 1 13/12 11/10 7/6 143/120 77/60 13/10 7/5 91/60 11/6 2/1, with steps of 13/12 66/65 35/33 143/140 154/143 78/77 14/13 13/12 110/91 12/11. While it does hit many simple composite intervals, as it has no factors of 2 in it, it is completely devoid of any pure harmonics, making for a very xenharmonic sound overall. It it also very lopsided, with multiple tiny intervals and a gap of over 300 cents near the end. The closest thing to a perfect fifth is the [[91/90]] sharp one above the root, which is indistinguishable from a [[5edo]] one.

<pre>
! 3-5-7-11-13_Dekany.scl
!
3 5 7 11 13 2-combination Dekany
6
!
138.572
165.004
266.871
303.576
431.875
454.213
582.512
721.084
1049.362
1200
</pre>

Suggested keyboard mapping: Start on C, skip the A and Bb notes.

[[Category:Dekanies]]
[[Category:10-tone scales]]
[[Category:Pages with Scala files]]